When would it be best to add the sugar: after you finish boiling the water or after you've added ice?

This question seems like one that is with reference to a
culinary dish that has to be prepared, like iced tea, that requires water to be boiled
to create it followed by the addition of ice to cool
it.

The solubility of sugar in water shows a wide range
with changing temperature. At 100 degrees Celsius sucrose is almost three times more
soluble in water than it is at 20 degrees Celsius.

If your
intention is to dissolve more sugar in the dish to make it sweeter, it would be better
to dissolve it when the water has just been boiled. The solubility of sugar is the
highest here. After the addition of ice, the solubility decreases and it would be
difficult to dissolve sugar to achieve the required sweetness.

What makes a person educated?Education remains a concept as difficult to define and as open to debate as it is essential to our identity. Is a...

This is a wonderful question.  I would distinguish between
formal education and informal education.  I would also distinguish between education and
wisdom.  These two distinctions cover the situations that you mention
here.

The grandmother is not educated.  She does not have
any (from what you say) of the knowledge that comes with education.  She would not, for
example, be able to do algebra or explain the idea of supply and demand.  However, she
is probably wise.  That is, she knows what is approprite to do in various life
situations that she has ecountered.  This is very important, but it is not
education.

Bill Gates has more education than his
ex-classmates in certain areas.  True, he did not learn these things in school, but he
did learn them informally.  Education is the acquisition of knowledge and he has
acquired knowledge on a relatively broad range of subjects (computers, business,
management, things having to do with his foundation).  It is informal education because
he did not gain it in school, but it is still
education.

Education, then, is the acquisition of
knowledge.  It can be formal or informal, but it is not the same thing as the wisdom
that comes with experience and age.

How does Act 2 Scene 4 in Macbeth advance the plot?

Act 2 Scene 4 is a short yet an important scene, not to be
left out. The scene between Ross and the Old Man serves three important purposes and one
can easily make out how they add to the development of the
play.

a) It continues the comparison begun by Lennox in
Scene 3 between the human world and the natural
world.

 "The night has been unruly: where we lay,/ Our
chimneys were blown, and, as they say,/ Lamentings heard i'th'air, strange screams of
death/And prophesying with accents terrible/Of dire combustion and confus'd events,/ New
hatch'd to the woeful time." The old man believes that he has never in seventy years of
his life seen "hours dreadful and things strange, but this sore night hath trifled
former knowings." Further more the old man also says, 'Tis unnatural, /Even like the
deed that's done."

b) The second function of the
scene is clear when Macduff enters to bring more news" it indicates the passing of
time.

c) The scene highlights Macduff growing in greater
prominence, because it allows the audience by the tone of his voice, That Macduff
continues to be suspicious of Macbeth's involvement in the
crime.

One must also remember that Macduff's role will be
very important once Banquo will be murdered.

what are man vs self and man vs man conflict quotes

Man vs. Self: Montag is experiencing inner turmoil. The
night that the firemen go and burn the house of the unidentified woman, Montag watches
her burn with her books.  He suddenly realizes that "There must be something in books,
things we can't imagine to make a woman stay in a burning house, there must be something
there.  You don't stay for nothing" (pg 51). Afterward, when he is talking with Mildred
about it, she could care less and demands that he leave her alone.  He replies, " That's
all very well, but how can I leave myself alone? ...We need to be really bothered once
in a while.  How long is it since you were really bothered?  About something important,
about something real" (pg 52).  Later when he is talking with Faber, Faber tells him he
did what he had to do and that it had been coming on for a long time.  Montag agrees and
says "I went around doing one thing and feeling another. God , it was all there.  It's a
wonder it didn't show on me, like fat." (pg 131)

Man vs.
Man:  Basically this can be narrowed down to Montag vs. Beatty.  Beatty needles him
constantly.  When Montag returns to the fire station after feigning his illness, Beatty
unmercifully browbeats him with quotes from famous books.  "Montag's head whirled
sickeningly.  He felt beaten unmercifully on brow, eyes, nose, lips, chin, on shoulders,
on upflailing arms.  He wanted to yell 'No! Shut up, you're confusing things, stop it"
(pg 107)  All the time Beatty is doing this, he is planning on burning Montag's house
that night.  When he does, he taunts Montag again "Didn't I hint enough when I sent the
Hound around your place?"(pg 113)  Even when Montag grabs the flame thrower and aims it
at Beatty, Beatty taunts him.  He calls him "a second-hand litterateur" and a "snob" (pg
119) He dares him to pull the trigger, and Montag does.  Then the race is on and it is
man vs. man when he is trying to escape.  They are hunting him with helicopters, men on
foot, and a Hound that has been brought from another
district.

The pages listed are in my edition, an old one. 
They may not be exactly the page numbers in your book, but they will be in the
vicinity.

Pros and Cons of Immunization. Do you agree with mandatory immunization? Why or why not?

Immunization is a tricky issue, especially today. In the
last twenty years or so, vaccination has become a hot-button topic, with scientists and
pseudo-scientists on both sides arguing.

Vaccination has
helped cure and eliminate many diseases, some of which are among the most deadly natural
diseases in the world. The polio vaccination program started in 1955 had, by 1965,
reduced the number of paralytic polio cases to 61 nationwide. The last case of polio in
the United States was reported in 1993. The best case for vaccination is in the numbers
of fatal infant diseases that have been eradicated or significantly
reduced.

On the con side, many anecdotal claims are made
each year that mandatory vaccination has adverse side effects on young immune systems.
The largest such claim is that vaccines cause autism, a condition that usually manifests
around the same age as vaccinations are first given. At this time, there is no
legitimately accepted study that proves any sort of correlation. The British medical
journal Lancet retracted the 1998 study that first suggested the
link. On the other hand, many children have other reactions, including reduced immune
function and brain inflammation. The majority of claims against vaccination come from
influential figures in the media, who have a large audience, but who might not be
knowledgeable in the field.

I, myself, believe that
vaccines are a useful and necessary part of medicine. Without them, thousands of
children worldwide would still die each year from whooping cough, smallpox, measles, and
mumps. However, I believe that, as with every science, there needs to be improvement;
the substance Thimerosal, which is a mercury preservative, has been blamed for health
problems and subsequently was removed from vaccines. Longer case studies and testing may
be a good idea.

Mandatory immunization is even trickier.
The forcing of a medical procedure on any person is, in my view, unethical at best;
however, parents must be allowed the right to decide what is best for their children
until the children are of a certain age. To require immunization as part of a government
program seems wrong to me, but I cannot fault the reasoning behind it, just the
methodology. It seems to me that if we want everybody to be healthy, we should inform
and educate, instead of forcing.

Regardless of a person's
personal feelings about vaccination, the statistics and facts must always be applied and
weighed. Correlation does not always indicate causation.

What are the differences between epic poetry and tragedy according to Aristotle's Poetics?

The first difference that matter is that of length.
Tragedy, by its very nature, is more concentrated and compact. Hence its size is much
more limited than that of. the epic. The length of a tragedy is based on the principle
that the work must be short enough to be grasped as an artistic whole. This holds good
for the epic as well. But the length of the epic can be greater than that of the
tragedy. The time limits of epic are not fixed. The epic has another advantage : it can
relate a number of incidents happening simultaneously to different persons at the same
time. Tragedy cannot show more than one incident happening at one place at one time.
This is what gave rise to the concept of the Unity of Place. Though Aristotle does not
stipulate this Unity at any time, not even in the chapter concerning the epic and the
tragedy, later critics have attributed it to him. All that Aristotles says, is that
tragedy cannot represent more than one incident at one time, and that it cannot show
incidents happening at different places at the same time. This is a common sense
observation based on the practice of the Greek theatre. The greater size (length) of the
epic allowed it more grandeur and dignity in the treatment of its incidents. The
incidents in tragedy have necessarily to “be shorter, and more concentrated. The
introduction of the different episodes in an epic make it more interesting, as they
relieve the dullness and monotony. Tragedy can make use of a greater variety of metres,
while the epic has to content itself with the heroic metre. The heroic metre, or the
hexameter1 is most dignified and stately. It can make use of rare and strange words.’
The tragic mode allows the use of metaphors, in the iambic* and trochaic3 tetrameter4.
Nature, says Aristotle, has established the appropriate metres for all forms of poetry.
The iambic verse is close to the speech of men, and suited to imitation of men in
action. The epic allows greater scope for the marvellous and the irrational.
Tragedy,’however, cannot make too much use of the marvellous within the action, for this
would seem improbable and unconvincing. Epic .can relate improbable tales because it is
not going to be presented on stage before the eyes of the spectators. The degree of the
irrational can be greater because it is left to the imagination, and not placed before
the eyes. Indeed, the element ofv marvellous adds to the artistic pleasure and wonder of
the epic. Such incidents of the marvellous, which include the supernatural and the
irrational, have to be placed outside the action of tragedy. The epic uses the mode of
the narrative, and tragedy the mode of the dramatic. The plot of epic, as of tragedy,
must have unity. Yet within the overall unity, the epic allows for more and longer
incidents than does tragedy. The epic allows multiplicity of stories, which would be
unthinkable in the tragedy. The elements which are, however, only to be found in the
tragedy, are Music and Spectacle. Tragedy has a vividness which is absent in epic. This
is so, even if the tragedy is read and not acted out on stage.

What would a theme statement be for "Dover Beach" by Matthew Arnold?

To come up with a thematic statement, quite obviously you
need to be aware of the theme of this excellent poem. If we look at this poem, we can
see that it is about the way in which the author feels the "tides of faith" are going
out from England and how that leaves him in a very vulnerable and precarious position.
The very grim, unyielding and unrelenting vision of the world that the poem ends with is
only partly tempered by the hope that true love between two people can somehow serve to
provide us with a form of meaning, however tenuous, in a world that is otherwise
characterised by "ignorant armies clashing by night," or conflict and
confusion.

Therefore, in terms of moving towards a thematic
statement for this incredible poem, you might like to think of the way in which this
poem presents us with a rather disturbing image of the world today and our place in it.
A thematic statement could therefore be something like: "Dover Beach" is a comment on
the decline of religion and faith in today's world and the kind of world we are left
with as a result." This would allow you to exlore this central theme in an essay or a
project. Hope this helps!

What is the distance between the lines: x/2 + y + 2 = 0 and 4x + 8y = -13

It is possible to find the distance between two lines only
if they are parallel to each other.

The lines we have are:
x/2 + y + 2 = 0 and 4x + 8y = -13.

Convert them to the
slope-intercept form y = mx + c

x/2 + y + 2 =
0

=> y = -x/2 - 2

4x +
8y = -13

=> 8y = -4x -
13

=> y = -x/2 -
13/8

The slope of both the lines is -1/2, they are
parallel.

The product of the slope of perpendicular lines
is equal to -1. Take a line perpendicular to the two given lines like y =
2x

Find the point of intersection of y = 2x with y = -x/2 -
2

2x = -x/2 - 2

=> 5x/2
= -2

=> x = -4/5

y =
-8/5

The point of intersection is (-4/5,
-8/5)

Find the point of intersection of y=2x and y = -x/2 -
13/8

2x = -x/2 -
13/8

=> 5x/2 =
-13/8

=> x = -13/20

y =
-13/10

The  point of intersection is (-13/20,
-13/10)

The distance between (-4/5, -8/5) and (-13/20,
-13/10) is

sqrt[(-13/20 + 4/5)^2 + (-13/10 +
8/5)^2]

=>
0.3354

The distance between the two lines is
0.3354

What is siddhartha Guatama's critique of the self? and what is it made up of?Explain his theories

The Buddha denies the existence of any permanent entity
either physical or mental. He considers the human person as a psychophysical complex.
For him all worldly things are momentary and likewise the self is not more than it and
rejects commonly believed conception of self.

According to the Buddha, all of our senses and
thoughts are on fire with lust and desire. Although there is no-abinding self or soul,
we cannot deny the reality of our experiences.

They
are:
1. Rupa: Material Form-the material givenness of experience.
2.
Vedana: Sensation- the initial sensory apprehension of forms.
3. Samjna :
Cognition- the determine classification of experience.
4. Samskara:
Disposition- the volitional response that colours experiences.
5. Vijnana:
Consciousness- awareness of the six sensory ranges (indriya).
The Buddha is
said to have declared with reference to each of the five skandhas “It is not mine. He is
not me. He is not myself”., thereby rejecting the existence of some mysterious entity
that might be thought to ‘own’ or ‘possess’ the skandhas and to deny that any such
substantial self can be found within the skandhas themselves.

.

What is a suitable literary theory that can be used to analyse "Games at Twilight"?

I think using any theory based on psychology would be a
good response to this question. There are of course many other possible theories that
you could use to analyse this tremendous story, but, from my reading of it, its central
message concerns the epiphany of a young boy who discovers a sense of his own
meaninglessness and as a result grows up.

Let us remember
what happens to Ravi. Hiding himself away in an excellent hiding place, he imagines the
glory he will receive when he wins the game. However, when he rushes out, notice how the
children and the setting are described:

readability="9">

Out on the lawn, the children stopped chanting.
They all turned to stare at him in amazement. Their faces were pale and triangular in
teh dusk. The trees and bushes around them stood inky and sepulchral, spilling long
shadows across them.

To Ravi,
the children appear "dead," just as he has been forgotten by them. In addition, note
that the children are now playing a funeral game and singing a song that is about
nature's indifference to human death:

readability="8">

The grass is
green,

The rose is
red;

Remember me

When I am
dead, dead, dead, dead...

All
of this serves to highlight the epiphany of the final paragraph when Ravi is forced to
confront the message of this incident:

readability="9">

He lay down full length on the damp grass,
crushing his face into it, no longer crying, silenced by a terrible sense of his
insignificance.

Ironically,
although he rejects playing the funeral game, he does experience a kind of death: the
death of his innocence and his hopes. Therefore, using a theory that focuses on the
psychological development of Ravi would be important and productive in analysing this
excellent story.

What is the main point of the poem "The Lake" by Deborah Ager?What is she trying to say?

The best way to understand a poem is to examine it stanza
by stanza and look at the overall whole once finished.

The
poem "The Lake" begins off as such:

readability="8">

The yard half a yard,/ half a lake blue as a
corpse,/ The lake will tell you things you long to hear:/ get away from here./
Three o'clock. Dry leaves rat-tat like
maracas.

Here the speaker
seems to be alluding to the deadness of the lake. The imagery of the blue corpses and
dry leaves signal death.

readability="7">

Whisky-colored grass/ breaks at every step and
trees/ are slowly realizing they are nude./ How long will you
stay?/ For the lake asks questions you want to hear,
too.

Here the lake seems to
recognize the fact that autumn is coming and, just as the leaves are leaving, the lake
expects the speaker to leave as well.

readability="10">

Months have passed since, well,/ everything.
Since buildings stood/ black against sky, rain hissed from sidewalks/ and curled around
you./ O, how those avenues once seemed
menacing!

The speaker seems
to have changed their feelings about the area by which the lake "lives." It seems that
with things going away, the area no longer seems
threatening.

readability="6">

I know what you miss/ sings
the lake. Car horns groaning/ in rush hour. Sweet coffee.Wind/ pounding like hammers.
Warmth of a lover./ Crickets humming love songs to the
street.

The lake begins to
recognize that the way they (the lake and the speaker) feel about the changes taking
place are different for them both. That being said, the lake does recognize the feelings
of the speaker much better than the speaker recognizes the feelings of the
lake.

Here, Ager seems to be speaking to the fact that
chagne brings about different feelings for different "people" (the lake has been
personified given its ability to speak).

What is the most appealing theme of "The Glass Menagerie"?

This is an interesting question, because actually I think
this is rather a depressing play, and its themes are certainly no exception. So, to try
and identify an "appealing" theme as your question puts it is a bit of a challenge. I
suppose one theme that we could look at and develop is that of growing up and gaining
independence. This is something that of course Tom finally gains at the end of the play
as he leaves his mother and sister and, much like his father before him, breaks out to
live his own life free from the ties that he feel oppress him and prevent him from
discovering and expressing himself and who he is.

I am
trying to couch this in positive terms, but the truth is that even this "victory" for
Tom is bittersweet, as he himself reflects in the final lines of this play. He talks
about how something will remind him of Laura and how he is unable to escape
her:

Oh,
Laura, Laura, I tried to leave you behind me, but I am morefaitful than I intended to
be! I reach for a cigarette, I cross the street, I run into the movies or a bar, I buy a
drink, I speak to the nearest stranger--anything that can blow your candles
out!

Even though Tom has
gained what he wanted, he is left to eke out his days trying desperately to combat the
unremitting sense of guilt that overpowers him and from which he can never escape.
Therefore this is my best answer, as I don't actually think any of the themes are
necessary "appealing" in a positive sense!

With explanation, what are four memorable quotations from chapters 25-29 & 36 of Charles Dickens' Great Expectations?

Charles Dickens’ novel Great
Expectations is full of memorable passages, including the following four,
which are memorable for some of the reasons explained
below:

+++++

readability="9">

"Joe, how are you,
Joe?"

"Pip, how AIR you,
Pip?"

With his good honest face all glowing and shining,
and his hat put down on the floor between us, he caught both my hands and worked them
straight up and down, as if I had been the last-patented
Pump.

This passage, from
Chapter 27, describes the grown-up Pip’s encounter with Joe, a true friend from his
youth. The passage is memorable for a number of reasons, including these: (1) it shows
Dickens’ skill in recreating dialect (“how AIR you”); (2) it implies the distinctions in
class (a major theme of the novel) that now exist between Pip and Joe; (3) it reminds us
that Joe is the moral touchstone of the novel – a truly good man who, without intending
to do so, sets an ethical standard by which other characters, including Pip, can be
judged; (4) it uses subtle symbolism to imply Joe’s moral character and vitality
(“glowing and shining”); and (5) it exemplifies Dickens’ use of humor (as in the
reference to the pump
handle).

+++++

readability="11">

Betimes in the morning I was up and out. It was
too early yet to go to Miss Havisham's, so I loitered into the country on Miss
Havisham's side of town,—which was not Joe's side; I could go there to-morrow,—thinking
about my patroness, and painting brilliant pictures of her plans for
me.

In this passage, from the
very beginning of Chapter 29, Pip mentions one of the major characters of the book (Miss
Havisham) and implies the difference in social class between her and Joe.  Joe and Miss
Havisham are also distinct morally, and it is a sign of Pip’s waywardness that he is
attracted to Miss Havisham.  The theme of ambition is also implied here – a major theme
of the book.

+++++

readability="10">

In her furred travelling-dress, Estella seemed
more delicately beautiful than she had ever seemed yet, even in my eyes. Her manner was
more winning than she had cared to let it be to me before, and I thought I saw Miss
Havisham's influence in the
change.

This passage focuses
on Estella, another major character in the novel. It emphasizes her physical beauty,
which Pip finds attractive, and it also emphasizes the influence of Miss Havisham
on Estella – another major theme. Estella’s wealth (a major theme)
is implied by the way she dresses.  Pips’ growing attraction to her (a major theme) is
implied by his reaction
here.

+++++

readability="16">

Herbert and I went on from bad to worse, in the
way of increasing our debts, looking into our affairs, leaving Margins, and the like
exemplary transactions; and Time went on, whether or no, as he has a way of doing; and I
came of age,—in fulfilment of Herbert's prediction, that I should do so before I knew
where I was.

This passage,
from the very beginning of Chapter 36, mentions another major character (Pip's friend
Herbert), alludes to one of Pip's major problems in London (debts), and alludes to a
major theme of the book: the passage of time.  Pip's coming "of age" is also a major
motif of the novel.

How would you write the equation if the problem has X-intercept=6 and Y=intercept= 2

Given the x-intercept is
6.

We know that the x-intercept is the point that intersect
with the x-axis.

The point intersect with the x-axis at x=
6, then the value of y is 0.

Then the point ( 6, 0) is on
the graph.

We are also given the y-intercept =
2.

Then, the line intersect with the y-axis at y= 2, then
the value of x is 0.

Then, the point ( 0, 2) is on the
graph.

Now we have two points on the graph ( 6, 0) and (0,
2)

Now we will determine the equation of the
lines.

We will calculate the
slops.

==> m =
(y2-y1)/(x2-x1)

==> m= ( 2/6 =
1/3

==> Now we will write the equation of the
line.

==> y-y1 = m
(x-x1)

==> y - 0 = (1/3) ( x
-6)

==> y= (1/3)x -
2

I have a bad partner for a literature project and need help. Do you have any advice?I was assigned a partner who is lazy and waits till the last...

I've been teaching for 25 years, so this is not the first
time I've heard this complaint. I often encountered this problem during group projects
when I was a student, so I know it can be a problem for a student who is enthusiastic
about the assignment and the resulting grade. It sounds like your teacher is going to be
firm about not allowing you to switch partners, so you may be stuck with who you have.
When I grade group projects, I always have at least two grades: an overall grade and a
separate participatory grade for each student. Teachers aren't stupid. We know that
group projects are rarely completed with equal participation from all its members. I
usually ask each student of the group who has done what, and ask them each to tell me
who was the most valuable member of the group. That way, an average project can still
result in above-average grades for certain members. You might want to ask your teacher
how the grade will be given. Hopefully, your teacher will grade in a similar manner. If
you find out otherwise, I would go ahead and try and pick up the slack by doing as much
individual work as necessary to achieve the final result (and good grade) that you seek.
You don't need to rat out your partner, but if the teacher asks who has done what part
of the work, don't lie. Tell the truth. Your partner probably doesn't care about her
grade anyway, and I don't think other students will hold your honesty against you. Good
luck--with the project, your teacher, your partner and your
grade.

Identify an example of juxtaposition from section 1 of Night by Elie Wiesel.

I certainly think that one of the strongest juxtapositions
offered lies in the tears of Moshe the Beadle.  Moshe, a character in the town of
Sighet, who is not really outwardly rejected at first, but rather more tolerated, is the
first one to see the Nazi atrocities and report it back to the townspeople.  His
narrative of seeing children used as target practice, along with the mountain of corpses
within which he had to hide is chilling.  The emotional force of the juxtaposition of
him running back to tell the townspeople what awaits them and their rejection of him is
stunningly powerful.  It is a juxtaposition that captures the inhumanity that was
inflicted by human beings on one another.  It is a juxtaposition that brings to light so
much horror in what is about to be detailed.  At the same time, there is a stunning
painful juxtaposition in Moshe crying not at what he experienced, but rather at being
shunned and treated with scorn by his fellow villagers.  His sentiment of "I only came
to warn you" is met with his rejection, something that causes a sense of despondency in
the opening of the narrative and something that creates a juxtaposition both within
Eliezer and the reader of what is to be experienced.

Why did the New England character develop as it did?

Whenever we talk about the character of some place and how
it came to be, we are necessarily guessing or speculating.  There is no way to
definitively prove why the character of a region (to the extent that it truly has such a
thing) came to be.

The most common answer for this would be
that the character of New England came about because of its Puritan and family-oriented
background.  These are the things that made New England different from the other
colonies.

Because of these factors, for example, New
England came to be an egalitarian and educated area.  The Puritans did not believe much
in hierarchy and they did believe very strongly that people needed to be educated so
they could read the Bible.  Because of Puritanism and the large number of families, New
England came to be a more sober area without the flamboyance of places like the
South.

From these factors came the hard-working, sober,
egalitarian nature of New England.

What are your thoughts on the movie, Bella (2006) [Directed by Alejandro Gomez Monteverde]?

This is an excellent movie, in my opinion. The cast has
lots of chemistry and the plot actually has a point. Moreover, in a world where there
are so many movies that try to push the limits and even border on being ridiculous,
Bella tells a story of a waitress named Nina, who is pregnant and deals with the
hardships of what it means to be cope with this news. Nina is seriously considering
abortion after she gets fired from her job. Jose, who also works at the restaurant,
persuades her to come over to his house for dinner. She does and they spend the day
there and at the beach.

They learn about one another and
Nina realizes that Jose was a professional soccer player in the past, but in a car
accident he killed a girl. As they get to know one another, Nina realizes that she has
options. She decides to have the baby. The last scene of the movie, Jose is with the
little girl at the beach and Nina comes along.

It is a
well-made movie, which advocates pro-life. However, it does so in a non-dogmatic
way.

How were poems composed and passed down through generations in Anglo-Saxon Britain?

Oral-traditional lterature is not handed down verbatim
over the generations but rather composed as it is performed from traditional elements.
The traditional elements used in oral-forulaic composition operate on the levels of
story, scene and line. A "singer of tales" learns the overall narratives of traditional
tales by listening to other performers. He then accumulates knowledge of standard
patterns of scnes, e.g. the "hero donning armor" or "hero leaving home" scenes. To shape
peotic lines in performance, the singer learns standard formula -- normal epithet-noun
and verb phrases that fit metrically into partial or complete lines and then assembles
lines out of these components. No two performances of the "same" oral-traditional epic
are identical by the identity standards of literate societies, but instead "the same
tale" means the same general narrative elaborated in response to performance situation
by the singer, just as the "same melody" may be arranged differently by different
musical ensembles.

Two point charges (+9.0 nC and -9 nC) are located 8.00 cm apart. Let U = 0 when all of the charges are separated by infinite distances. What is...

You have not mentioned where the point b is where the
charge q = -3.2 nC is placed.

For a charge q placed at a
distance r from a charge Q, the potential energy is equal to U = kQq/r, where k is the
Coulomb's constant.

In your question if q is at a distance
Ra from the 9 nC charge and a distance Rb from the -9 nC charge, the potential energy of
the charge q would be:

k*9*10^-9*(-3.2*10^-9)/Ra +
k*(-9*10^-9)*(-3.2*10^-9)/Rb

= -k(28.8*10^-18)/Ra +
k(28.8*10^-18)/Rb

= 28.8*10^-18*k*[1/Rb -
1/Ra]

This would be equal to 0 if Ra = Rb and the charge
does not have any potential energy due to the oppositely charged particles. For all
other values of Ra and Rb, the charge has a net potential
energy.

Is pre-emptive war a good policy?

If you are talking about preemptive war as political
scientists understand the term, then preemptive war is absolutely a good
thing.

To political scientists, the term "preemptive war"
refers to a war that is undertaken when a country (Country A)
knows that another country (Coutnry B) is going to attack
it in the near future.  If, in such a case, Country A attacks Country B first, this is
preemptive war because Country A's attack was made solely because it knew that Country B
was going to attack.

If you are using this definition, it
is very hard to argue that preemptive war is a bad policy either morally or
pragmatically.  It makes no sense to simply wait and let the other side attack you.  The
only possible exception would be if Country A cannot prove to the world that Country B
was going to attack.  If Country A cannot do so, it might make sense for it to wait,
absorb the first attack, and then have the "moral high ground" in world
opinion.

Outside of that scenario, however, preemptive war
is a good policy because a country that is about to be attacked has the moral right to
strike first and because such a preemptive strike would be likely to help lead to
military victory.

In Angela's Ashes, how do the children absorb their mother's attitude towards their father?

The irresponsible nature of the narrator's father is one
of the key impressions that we have of his character throughout this powerful memoir.
His tendency to take the money that should go towards feeding his family and instead to
use it to fuel his alcoholism is one of the more shocking aspects of this biography. In
Chapter Seven, the children are shown to have absorbed their mother's attitude towards
their father by what they say to him after he has cashed the cheque that his father had
sent for the birth of the new baby in their family, Alphie. When their father cashes the
cheque, their father tells them to go home and that he will follow them in a few
minutes. Note how they respond:

readability="8">

Malacy says, Dad, you're not to go to the pub.
Mam said you're to bring home the money. You're not to drink the
pint.

Straight away they see
through their father's deception and identify that he is going to spend all the money
that was sent for the new baby on alcohol. The rest of this chapter is tragic in the way
that the narator's mother has to send out her sons to find him and stop him from
drinking all of the money away.

What is animism?

Animisim is a kind of religion in which people believe
that various non-human things (whether living or not) have spirits.  Animists believe
that these spirits have an impact on what happens in the
world.

Most animistic religions are associated with what we
would call "primitive" societies.  These are societies which lived in close and constant
contact with nature and who therefore felt that natural things had an impact on their
lives.  These would be people who believed in the spirits of rocks and trees and wild
animals and would conduct rituals to appease or propitiate these
spirits.

There are "modern" religions with animist
aspects.  A major one of these is the Shinto religion of Japan.  True believers of
Shinto believe that many natural things have spirits known as
kami.  Believers would do rituals to honor the
kami and to invoke their aid.

What are some quotes said from Mary Warren in the play The Crucible?

Mary Warren, servant to John and Elizabeth Proctor, is
described when she first enters in Act I as a "subservient, naive, lonely girl."
Throughout the play her words and actions support the idea that she is a lonely girl who
just wants to be seen as important, but isn't willing to get in trouble for
it.

In Act I she says:

Abby,
we've got to tell.  Witchery's a hanging' error, a hangin' like they done in Boston two
year ago! We must tell the truth Abby! You'll only be whipped for the dancin' and the
other things!

Here we see that Mary Warren wanted to be a
part of the group in the woods.  While she was present during the activities she did not
participate in them.  Now that their punishment is looming, she is quick to point out
Abby's actions and to beg her to confess.

In Act II we see
a new Mary Warren.  She has been working in the court and the position has gone to her
head.  For the first time, she stands up to Mr. Proctor when he sends her to bed.  For
the first time in her life, she feels powerful.  Of course, and soon as Proctor stands
up to her, weak Mary returns and she goes off to bed.

I'll
not be ordered to bed no more, Mr. Proctor! I am eighteen and a woman, however
single!

In Act III, Proctor drags Mary Warren to the court
to recant her testimony.  His wife has been charged and he is no longer willing to stand
by and wait for the court to realize the girls are lying.  At first, she reads her
deposition as told and tells the court that she lied, but when Abigail and the other
girls turn on her she crumbles.  This makes her turn on
Proctor.

I will not hang with you! I love God. I love
God.

He came to be by night and every day to sign, to sign,
to sign-

Prove with an example that a^2 is congruent to b^2 (mod n) need not imply that a is congruent to b (mod n).

If a^2 is congruent to b^2(mod n) it implies that a^2 -
b^2 is an integer multiple of n.

a is congruent to b(mod n)
implies that a - b is an integral multiple of n.

If a^2 -
b^2 is an integral multiple of n

=> (a^2 - b^2) =
k*n, where k is an integer

=> (a - b)(a + b) =
k*n

=> a - b = k*n/(a +
b)

k/(a + b) need not be an
integer

Therefore we cannot say that a^2 is congruent to
b^2 (mod n) implies that a is congruent to b (mod n)

Take
the case of 25 being congruent to 9(mod 4) as (25 - 9) = 16 is an integral multiple of
4.

5 is not congruent to 3(mod 4) as 4*4/(5 + 3) = 4/2 = 2
which is not an integral multiple of 4.

This
proves that a^2 is congruent to b^2 (mod n) does not imply that a is congruent to b (mod
n)

People come to work for money. Discuss?

We all live in a world where one cannot do without
material things. Things like food, clothing, a house among many others are essential for
life. A person would not be able to survive in their
absence.

As none of these are available for free, one has
to earn money. And to earn money one has to work. This makes it clear that money is
one of the motives why people work. Though earning money should not
be mistaken as the only motive for people working. Work in many
cases gives people joy, a sense of achievement, satisfaction and many things that cannot
be replaced by money. People continue with a particular profession because they enjoy
their work, and do not want to shift to a higher paying job even if they could earn more
as money is not the only objective why they're doing what they
are.

In what ways do the components of aggregate expenditure affect the level of income, employment and growth in an economy?

The components of aggregate expenditure (and of GDP) are
consumer spending, investment, and government spending.  The higher the values of these
components, of course, the greater the level of income, employment, and growth in an
economy.

However, we can go further than that and say that
consumer spending is more important in the short term and investment is more important
in the long term.  If there is low consumer spending (as in the US right now),
employment, income and growth will be low in the short term.  If consumer spending is
hight, these things will be high.  But even if consumer spending is high, this does not
do much for long term prospects.  Instead, investment is what is important.  Assuming
that it is done wisely, investment allows for economic growth.  It increases the
potential level of aggregate supply by increasing the amounts of capital goods that
exist in the economy.  Investment makes it possible for growth to happen in the future
even though it does not do as much for employment and income in the near
term.

What purpose is served by introducing Mrs. Rogers as a frightened "ghost" of a woman?

The purpose the author has of introducing Mrs. Roger as a
frightened ghost of a woman is to add a sinister, foreboding feeling to the
atmosphere. Vera had just walked into a delightful bedroom with a big window and was
very pleased. Mrs. Rogers escorted her there. But when Vera looked at Mrs.
Rogers closely, she thinks Mrs. Rogers  is very pale and "bloodless".  Although she was
quite respectable and dressed as a maid, she had 

readability="5">

"Queer light eyes that shifted the whole time
from place to place" (pg
31)

Vera thinks she looks
frightened of something and that idea gave Vera a physical reaction, it made a shiver
run down Vera's back. She says that

readability="5">

 "She looked like a woman who walked in mortal
fear..." (pg 31)

The word
mortal means subject to death. (See link)   It
gives the reader a feeling of dread of some kind of evil force or forces on the island
that are going to cause someone's death.  When Mrs. Rogers  turns to leave the
room,

"Her
feet moved noiselessly over the ground. She drifted from room to room like a shadow" (pg
32) 

That is another
reference to a ghost.

The pages of the book may differ
depending on which edition you are reading, but the words should be in the general
vicinity of the pages listed.

What elements of contrast are employed in "An Episode of War"?

Contrast is a key element in this excellent short story,
and Crane especially uses ironic contrast to highlight the absurdity and meaninglessness
of war and yet how it has such a profound impact on individuals. A great place to start
would be looking at the opening description, which presents us with the lieutenant,
rather bizarrely, separating the company's coffee supply with his sword. Notice how the
absurdity of the situation is highlighted by the description we are
given:

He was
on the verge of a great triumph in mathematics, and the corporals were thronging
forward, each to reap a little square, when suddenly the lieutenant cried out and looked
quickly at a man near him as if he suspected it was a case of personal
assault.

The lieutenant, in
the middle of battle, is on "the verge of a great triumph in mathematics" when he
receives the wound that will necessitate the amputation of his arm. This is almost a
ludicrous scene as the danger of war is contrasted with the trivial and rather
meaningless task of dividing coffee supplies.

In addition,
consider the final paragraph and the way in which the lieutenant tries to shrug off the
importance of losing his arm in the face of the tears of his family. Contrast is a vital
part of this story and is something that Crane uses to highlight his belief in the
insignificance of man and our lives.

Is it possible, in Shakespeare's "A Midsummer Night's Dream" to contrast Athens as having a hierarchical partiarchal order with the forest as a...

This question can be situated within two theoretical
frameworks, feminism and ecocriticism. Ecocritics would be interested in the contrast of
nature with civilization in the play and would ask how the human constructedness of the
city would affect not only the land and ecosystem but the moral and social nature of the
people living and acting therein.

Feminist litersary
critics would look at the relationships between civilization and patriarchal power and
nature and feminine power. Theseus' Amazon queen was a ruler in her own land but is
subordinate in Athens. Do Titania and the two girls have power rooted in a forest whoich
is by its nature disruptive and chaotic, inherently resisting imposition of patriarchal
structures? Do Shakespeare's sources reflect an earlier matriarchal religious and social
order that is associated with the forest as an emblem of social structures existing
before the development of urban patriarchal cvilization?

I am doing an AP Paragraph format essay, and I need some ideas of how I would begin and/or end it.What does the author's interpretation of the...

AP style is a common standard for
news and bulletins, used to ensure that a given news piece will be short while retaining
the maximum amount of information. For an essay-style question like this, I assume you
mean that you only have to write one paragraph.

For a
single-paragraph essay, brevity is key. You must impart a full understanding of the work
and its meaning while keeping to a reasonably short length. The difficulty comes when
trying to explain a larger concept in a small space.

First,
figure out exactly what the answer to your question is. There are numerous
interpretations to the ending of the book, and your best bet is to read the book
through, then find the interpretations online, then, from your own analysis, decide
which one you feel is best.

Second, take some time to write
a longer piece about the answer. It doesn't have to be pages and pages; one page maximum
should be enough to get down the basic essay structure: Introduction, Thesis, Body,
Conclusion. For a single-paragraph piece, the Outline and Bibliography are not
necessary, although you should at least cite the book
underneath.

Now start to whittle the page down. Eliminate
unnecessary words. Slice repetition, move sentences around. Delete any purple prose and
metaphor; AP style is all about simple, unadorned
fact.

Once you have it down to a smaller piece, try to
combine and connect sentences. This will help you eliminate the small, excess filler
words that you don't need. You should aim for five-to-nine sentences maximum, so as to
retain the essay structure.

Finally, once you have a
reasonable paragraph, read it over several times to make sure it makes sense. Read it to
a family member or your dog. Record it and play it back. Read it again the next day and
see how it sounds. Read it backwards to catch grammatical, spelling, and punctuation
errors.

The references have more information about the
exact style, but you should be able to use this answer for any paragraph-style essay in
the future. Remember, the key to success is fitting the most information in the smallest
space.

what poet saying hereThrough the sad heart of Ruth, when, sick for home, She stood in tears amid the alien corn; The same that ofttimes hath...

The author is referencing the story of Ruth in the Bible
where she refuses to leave her mother-in-law and works in the fields.  He is implying
that Ruth heard the nightingale while she was working in the fields and it made her
break down in tears. 

The author then makes reference to
another time the nightingale was heard singing but it's some magical
place.

The casement is referencing a window with a hinge. 
We are led to believe that the nightingale's singing is o magical that it opens a window
on a ship and then he flies out into the open air over the ocean.  But, again, this is a
majical ocean, not the ordinary ocean you and I know.  This is where Keats puts a huge
emphasis on fantasy.  That is why it is so hard to understand.

Of what was Fortunato most proud in "The Cask of Amontillado"?

Although we know little about the "thousand injuries" that
Fortunato inflicted upon Montresor in "The Cask of Amontillado," we do know that he
loves to drink. Montresor understands this, knowing that he will be able to lead
Fortunato anywhere he wishes because of his weakness for alcohol. Montresor does admit
that Fortunato commands respect and even fear, but this one vanity is a weakness that
will cost him his life.

readability="5">

He prided himself on his connoisseur-ship in
wine.

Montresor considered
Fortunato a "quack" when it came to several of his other interests, but when it came to
old wines, "he was sincere." Montresor knew that the temptation of a rare bottle of
Amontillado was too much for Fortunato to resist.

In what way is the sale and eventual slaughter of Boxer at the hands of the knacker a moving experience for the reader?

In Orwell's Animal Farm, one of the
most prominent horses in the story is a male cart horse named Boxer. In the first
chapter of the novel, Major predicts that Boxer will be sold to the knacker and boiled
down and ultimately that is what eventually
happens.

Boxer's departure, though, is a sad one for
Orwell's readers because Boxer and Clover are arguably the most noble creatures in
Animal Farm. Orwell tells us that they were the "most faithful
disciples" of the pigs. They passed on the pigs' teachings to the other animals,
attended all the meetings at the barn, and always "led the singing of 'Beasts of
England'."

As for Boxer, he was an incredibly hard worker
and would continue laboring vigorously in the face of any obstacles. His personal motto
was, "I will work harder!" Eventually, Boxer adds a second motto: "Napoleon is always
right", even though it has become obvious to everyone that Napoleon is a brutal and
ruthless dictator.

In Chapter 4, during the battle with the
humans, Boxer is upset with himself when he accidentally kills one of the humans. In
Chapter 8, Boxer helps rally the animals when the humans make another attack on them.
During that attack, Boxer is wounded and the windmill that he had labored so hard to
help build is destroyed.

Still, Boxer's only desire is to
rebuild the windmill before he retired. Unfortunately, Boxer's tired body was not strong
enough to see that task accomplished. When Boxer fell ill and was being taken away by
the knacker, all the animals were horrified. Although Squealer did not really mean these
words, I think that modern readers of the novel would
agree,

"It was
the most affecting sight I have ever
seen!"

Boxer, the most noble
animal, the backbone of their revolution and labor, had been mercilessly
slaughtered.

In "The Storm," what does "a can of shrimp" symbolize in the story?

Let us remember that the can of shrimp that your question
refers to appears at the beginning of this excellent short story, in the first section.
We are told that Bobinot buys the can of shrimp because he knows that Calixta is very
fond of shrimp. After the storm has passed, and Bobinot returns with his son home, note
how Calixta responds to this gift:

readability="7">

"Shrimps! Oh, Bobinot! you too good fo'
anything!" and she gave him a smacking kiss on the cheek that
resounded.

Thus the can of
shrimps can be seen as a symbol of the love that Bobinot feels towards his wife. He buys
the can of shrimps because he loves her and knows that this will please her. It is a
symbol of the way that he is a good, loving husband, which is of course ironic given the
way that during the storm that prevented his returning home, Calixta was being
unfaithful.

Reagan made several references in his speech at Bitburg Airbase to Kennedy's earlier "Ich Bin Berliner" speech. How does he build upon the point...

Besides just being a great speech technique, Reagan was
emphasizing that the American commitment to protecting West Germany and West Berlin was
unchanged from the early 1960s when Kennedy made his speech.  Kennedy's point was to
show solidarity with our German allies in the wake of Soviet construction of the Berlin
Wall, his own speech reiterating the commitment Harry Truman had made during the Berlin
Airlift in 1948-49.

Reagan was all about symbolism, and in
addition to boosting the morale of Germans, he was also issuing a challenge to Soviet
leaders to bring down the Iron Curtain and allow Germany to be reunified.  I don't think
he believed it would happen anytime in the near future, but as another speech in front
of the Brandenburg Gate made clear, ("Mr. Gorbachev, tear down this wall!") Reagan
considered the Germans one of our closest allies.

In The Chrysalids, other than being arrogant, what negative and positive character traits does the Sealand woman have?

Well, her arrogance is her most notable quality in this
great dystopian novel. In addition, you might want to consider the following aspects
about her. She likes to deliver sermon-like orations to explain how she sees the world.
The amount of dialogue that is given to her is amazing, and David variously describes
what she says as an "apologia" and a "disquisition." Her "rhetorical style" is something
that David and the others struggle to keep up with, and, interestingly, we could argue
that the Sealand woman finds a parallel with David's father, as both are passionately
evangelical about what they believe, even though their beliefs are completely
different.

However, in addition to these more negative
traits, she is shown to be sympathetic and compassionate. Note the way that she
carefully explains why they are unable to go to Waknuk and collect Rachel, and what
David says about her afterwards:

readability="11">

There was a pause while we appreciated the
situation. She had made it clear enough, and she sat back, a motionless figure in her
gleaming white suit, her knees drawn up and her hands clasped round them, waiting
sympathetically and patiently for us to accept the
facts.

However, this positive
description of her is then somewhat undercut by her matter-of-fact description of how
she has just slaughtered all of the other people in the Fringes. Thus, although the
Sealand woman is shown to have some positive traits, at the same time perhaps we can
argue that her negative traits are more notable.

Why is Odysseus the protagonist of the Odyssey?If he does not appear until chapter 5, how can he be the protagonist?

The answer to this question has to do with the definition
of "protagonist."  What you're really asking is "Why is Odysseus the character that we
would like to see triumphant in the story?"  In this context, it is easier to make sense
of.

It doesn't matter that Odysseus doesn't come into the
story until the 5th chapter.  It's not like the first 4 are a different story...though
he is not present directly the content of those chapters sets the stage by introducing
the reader to other characters and the details of the
setting.

So, in a nutshell, Odysseus is the protagonist of
the Odyssey because he is the individual that we want to reach his goals, and he is the
"main" protagonist because the story revolves around his life and
situation.

What is an example of an onomatopoeia in "The Most Dangerous Game"?

Let us remember that onomatopoeia is when words are used
that mimic or enact the actual sound that they are trying to describe, such as
"scuttled," which sounds like the actual action it represents. The best part of this
story to turn to is when the game actually begins between Zaroff and Rainsford, and
Rainsford manages to survive. The importance of sound in these passages, when Rainsford
is trying to outwit Zaroff, is key. Consider the following
example:

He
knew his pursuer was coming; he heard the padding sound of feet on the soft earth, and
the night breeze brought him the perfume of the general's
cigarette.

Note the word
"padding" which is of course an example of onomatopoeia. Towards the end of the story,
we also have another great example as Rainsford looks down to the sea, which "rumbled
and hissed." Hopefully you can use these two examples to find some more in this
excellent story. Good luck!

How did the geography of the Fertile Crescent help a series of leaders both to conquer and to unify Mesopotamia?

The most salient aspect of the geography of the Fertile
Crescent is the fact that it was a flat plain with rivers running through it.  Both of
these helped to make the area relatively easy to conquer and to
unify.

Areas that are hard to conquer and unify tend to be
divided up geographically.  They may have mountain ranges or jungles that make travel
difficult.  This makes it hard to move armies around to conquer and it makes it
difficult to administer the whole are even if you can conquer it.  The Fertile Crescent
did not have these problems.

Instead, the Fertile Crescent
was easy to access.  The flat plains and the rivers made travel relatively easy.  For
this reason, armies were able to come into the area easily and conquer.  Once this was
done it was not too hard for them to unify the area because they could move around it
easily.

There are two distinct straight lines that pass throgh the point (1,-3) and are tangent to the curve y=x^2. Find their equations.

The lines passing through the point (1, -3) are tangent to
the curve y = x^2. We have to find their equations.

The
slope of the line tangential to the curve y = x^2 is given by
2x

The tangent touches the curve at (x, x^2) and (1,
-3)

This gives (x^2 + 3)/(x - 1) =
2x

=> x^2 + 3 = 2x^2 -
2x

=> x^2 - 2x - 3 =
0

=> x^2 - 3x + x - 3 =
0

=> x(x - 3) + 1(x - 3) =
0

=> (x + 1)(x - 3) =
0

=> x = -1 and x = 3

y
= 1 and 9

The equation of the tangents are (y - 9)/(x  - 3)
= 6

=> y - 9 = 6x -
18

=> 6x - y - 9 =
0

and

(y - 1)/(x + 1) =
-2

=> y - 1 = -2x -
2

=> 2x + y + 1 =
0

The required equations of the tangents is
6x - y - 9 = 0 and  2x + y + 1 = 0

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"Jimmy Porter's anger in Look Back in Anger interesects gender and class." Discuss.

Let us remember that this play is famous for its depiction
of the iconic angry young man, a character which became a feature of such plays and
works emerging from around this time. When we consider the character of Jimmy Porter, we
have to concede that he is a man who is profoundly angry. At various points in the play,
we see that his anger is directed at larger targets such as society for the way that it
failed to provide an equitable world to live in, at those who occupy the heirarchy of
society without caring for others, and finally at his nearest and dearest because they
remain apathetic about these issues. This of course means that his anger does intersect
both gender and class differences, as he is angry with
everyone.

Let us remember that Jimmy is angry principally
because of the terrible experience he has when he was ten and he watched his father
dying slowly and painfully, "pouring out all that was left of his life to one bewildered
little boy." Jimmy directly links his anger as an adult to this experience as a child:
"You see, I learnt at an early age what it was to be angry—angry and helpless. And I can
never forget it." We therefore see that Jimmy's anger emerges from his state of feeling
helpless, and thus anybody--whether male or female, working class or upper class--is a
suitable target for this anger.

please show how solve the system with help of tangent function?2x+(x^2)y=y 2y+(y^2)z=z 2z+(z^2)x=x

You must figure out how to arrange each equation of the
system suggesting the use of tangent function.

I propose
you to write the top equation such as:

y-y(x^2)=2x
(factorization is needed)

y(1-x^2)=2x (divide equation by
1-x^2)

y=2x/(1-x^2)

I propose
you replacement of x=tan t:

y=2tan t/(1-(tan
t)^2)

You are looking at the formula that expresses the
tangent function of the angle 2t:y=tan(2t)

I propose you to
write the middle equation such as:

z=2y/(1-y^2), where
y=tan(2t)

z=2tan(2t)/(1-(tan(2t))^2)=tan2*(2t)=tan(4t)

I
propose you to write the bottom equation such
as:

x=2z/(1-z^2), where
y=tan(4t)

x=2tan(4t)/(1-(tan(4t))^2)=tan2*(4t)=tan(8t)

use
x=tant and x=tan(8t) and equate:

tan t=tan (8t) equivalent
to t=8t+npi

t-8t=npi
=>-7t=npi=>t=npi/-7

use t=-npi/7 to express
x,y,z:

Answer: Solution of system: x=tan8npi/7 ; y=
tan2npi/7 ; z=tan4npi/7.

Create a set of data that meets the following criteria. A precise but not accurate determination of the mass of a can of Dr. Pepper that is 357.3...

To understand the answer to this question, one must
understand the difference between measurements that are accurate and measurements that
are precise. 

Precision of measurement can be thought of as
the repeatability of a measurement.  That is, if the measurement of an object is
repeated several times we can say it is a precise measurement if the values are all
within a narrow range.  Repeatability, or precision, can often times be linked to the
quality (and subsequent cost) of the tool being used to make the measurement.  For
example, measuring length with a meter stick that is marked down to the nearest
millimeter can be more precise than one that is marked down to the nearest centimeter;
meter sticks calibrated to millimeters tend to be more expensive than those that are
only at the centimeter range.  Instruments with smaller degrees of calibration (mm vs.
cm for example) generally have more digits in the recording of the correct measured
quantity.  Thus, the precision is also related to the number of significant digits used
to report the value. 

Accuracy and precision are often used
synonymously in common speech.  However, in scientific measurements they are not
interchangeable concepts.  Accuracy is how close a given measurement is to the correct,
or true, value.  For example, if a correct value of a measured length is 2.125 cm and
you measure it to be 2.124 cm, you have made a pretty accurate
measurement.

A good measurement is one which is both
precise and accurate.

To create a set of data points that
would represent a precise measurent of the mass of a can of soda pop which is not
accurate we would expect measurement with a large number of significant digits, that are
within a very narrow range, but which are not very close to the correct value of the
mass of the can.  An example set might look something like
this:

The correct, or true, value: 357.3
g

Measurement 1: 525.3
g

Measurement 2: 525.1
g

Measurement 3:  525.2 g

All
three measurements are close together (precise), but not very close to the correct
value

What is Oedipus' tragic flaw and is there only one?

Most experts and critics agree that Oedipus' tragic flaw
is his hubris, or excessive pride, which leads to his metaphorical
blindness throughout the play, and of course, ultimately his demise.  Consider all of
the ways in which pride lead to his downfall.  First, in response to Teiresias' first
message (while living in Corinth) that he should one day kill his father and marry his
mother, Oedipus pridefully sets out to prove the prophet wrong.  This leads him to a
crossroads where, in a bout of pride and anger, he kills the old man (his real father). 
Once he becomes the king of Thebes, he refuses to listen to those who attempt to help
him, including Teiresias (again) and Creon.  When the hidden secret becomes fully
apparent to Oedipus, namely, that he is the plague poisoning the kingdom, his final act
of pride is to physically blind himself so that he will no longer have to look on
himself in shame.

You could certainly do a more detailed
examination of Oedipus' decisions throughout the play and likely come up with more than
one tragic flaw, but likely each one could be rooted in excessive
pride.

give the integral formula for the length of the curve sinx=e^y from x=pie/4 to x=pie/2

Curve length from a to b `= int_a^bsqrt(1+(dy/dx)^2)dx` `
`

First find dy/dx where
`sinx=e^y`

`cos(x)dx=e^y
dy`

`dy/dx = cos(x)/e^y = cos(x)/sin(x) =
cot(x)`

Curve length `= int_(pi/4)^(pi/2)
sqrt(1+(cot(x))^2) dx`

Since `1+cot^2(x)=csc^2(x)` ,
`sqrt(1+cot^2(x))=sqrt(csc^2(x))=csc(x)`

`=int_(pi/4)^(pi/2)
csc(x) dx=int_(pi/4)^(pi/2) 1/sin(x) dx `

We can
integrate

`int(1/sin(x) dx)=int(sin(x)/(sin^2(x)))
dx=int(sin(x)/(1-cos^2(x))) dx`

Using `u=cos(x)`
`du=-sin(x) dx`

`int sin(x)/(1-cos^2(x))dx=int
-(du)/(1-u^2)`

Using partial
fractions

1/(1-u^2)=A/(1-u)+B(1+u) 
gives

A(1+u)+B(1-u) = 1   A=1/2, 
B=1/2

And

`int
(du)/(1-u^2)=int 1/2(1/(1-u))+1/2(1/(1+u)) du=1/2(-ln(1-u)+ln(1+u))+C
`

`=1/2ln((1+u)/(1-u))+C
`

Substituting back in we
get

`int csc(x) dx =
-1/2ln((1+cos(x))/(1-cos(x)))+C=1/2ln((1-cos(x))/(1+cos(x)))+C`

So
finally

Length`=int_(pi/4)^(pi/2) csc(x) dx = 1/2
ln((1-cosx)/(1+cos(x)))|_(pi/4)^(pi/2)`

=`1/2(ln((1-0)/(1+0)))-1/2ln((1-sqrt(2)/2)/(1+sqrt(2)/2))=1/2ln(1)+1/2ln((1+sqrt(2)/2)/(1-sqrt(2)/2))`

`=1/2(0)+1/2ln((1+sqrt(2)+1/2)/(1-1/2))`

`=1/2(ln(3/2-sqrt(2)/(1/2))=1/2(ln(3-2sqrt(2))`

So
our answer is `1/2ln(3-2sqrt(2))~~0.8814`

How should I relate injustice to loyalty in King Lear?

This is a fascinating question to consider. The concept of
justice in the play is a major theme and is worthy of some serious attention. This play
has been called the most brutal of all of Shakespeare's tragedies, and we can understand
why when we consider the way in which one terrible and catastrophic event follows yet
another. This of course causes both us and the characters to ask whether there is any
such concept as "justice" or whether we live in a world that is at best indifferent to
us, if not downright hostile. Gloucester believes the latter, painting a picture of
capricioius gods who "kill us for their sport." He thus questions whether we are able to
expect the natural world to understand and demonstrate the same concept of justice that
is present in the human world. Edgar, by contrast, believes stubbornly that "the gods
are just," arguing that the fate of individuals is decided in accordance with their
actions and faults.

However, the ending of the play, and in
particular the soul-destroying image of the grief-stricken Lear cradling the broken body
of Cordelia in his arms, challenges such hopeful notions of justice, as both the good
and the wicked are shown to die. Loyalty or any form of goodness seems to have no
bearing on your eventual fate, and in spite of Edgar's loyalty and his belief in
justice, the injustice that pervades the play and the lack of a happy ending seems to
mock the concept of any divine order or system of justice. Loyalty or lack of loyalty
has no bearing on whether or not you receive a happy ending.

What is balance of payment deficit and what are the causes of the deficit?

Balance of payment refers to the monetary transactions
that involve a nation and all the other countries in the world. When the money coming
into the nation is more than the money going out of the nation there is a balance of
payment surplus and when the money going out exceeds the amount of money coming in there
is a balance of payment deficit.

Balance of payment can be
broadly divided into current account and capital account. Current account includes the
net amount received due to trade, net earnings made outside the country and transfer of
money. Capital account is the net movement of money due to change in ownership of
assets.

When the sum of current account and capital account
is negative, there is a balance of payment deficit. This is the case when the nation is
spending more than it is earning from other nations. Balance of payment deficit can be
due to many causes, some of which are imports far exceeding exports, capital outflow
from the nation due to investors finding better growth prospects abroad than within the
nation, a large debt that the nation has for which it has to pay interest,
etc.

I am not aware of the eight specific causes for
balance of payment deficit that you were refering to.

How does Thomas Hardy's poem "Drummer Hodge" bring out the absurdities of war?

Thomas Hardy’s poem “Drummer Hodge” emphasizes the
absurdities of war in a variety of ways, including the
following:

• It seems absurd that a drummer, of
  all people, should die in the war. A drummer’s job is to summon other men to risk their
  lives; therefore it seems absurd that his own life should be
  lost.


• A drummer is presumably a non-combatant, someone
  whose job is not to fight or carry arms but to play the drum he carries. He is no direct
  threat to any enemy soldier, and thus his death, presumably by being shot, seems
  especially absurd.


• Drummers were likely to be especially
  young, indeed even to be boys; the death of a boy in war seems especially
  absurd.


• Drummers were so low in military rank and so
  relatively unimportant in terms of military responsibility and decision-making that the
  death of a drummer seems especially absurd. The death of a general or other commanding
  officer would seem less ironic than the death of a lowly
  drummer.


• Drummer Hodge dies and is unceremoniously buried
  in a land far from home – a land so far away that it poses no real threat to his own
  country. His death is therefore particularly
  absurd.


• Hodge never even has much of a chance to acquaint
  himself with this foreign landscape or its peculiarities before he is killed. He is not
  a long-serving soldier but apparently has only recently arrived in the place where he
  quickly dies.  His death is therefore especially
  absurd.


• The opening lines of the poem emphasize the
  absurdity of Hodge’s plight:

readability="8">

They throw in Drummer Hodge, to
rest

Uncoffined—just as found.
(1-2)

If “absurdity” implies
a lack of meaning or significance, then Hodge’s death seems absurd. It doesn’t really
enhance the military might of the enemy. It is not commemorated in any ceremonies that
might seem to make some sense of it. The body seems merely something to be disposed of
rather than the sacred remains of a fellow human being, to be treated with dignity and
respect. Of course, one can’t really blame the people who bury Hodge for the hasty,
improvised nature of his burial.  They, after all, still have to deal with the
absurdities of war, as he no longer does.

Why did the lorry driver find the destruction of the house humorous?

Part of what makes this story so challenging in terms of
its impact on the reader is the reaction of the truck driver to all that he is seeing.
 The truck driver is struck by the sheer surreal nature of that which is around him.  It
is so destructive that it almost shocks the sensibilities to a point where laughter is
evident.  The final paragraph of the story reveals this.  The driver laughs because he
recreates the entire situation.  Starting with "the sudden check of his lorry" and "the
crash of bricks falling."  There was "dignity" at one point, and then nothing.  The
driver does not mean to insult Mr. Thomas, as he does indicate his apologetic stance
towards everything.  Yet, he does clearly say that there is humor in the situation that
exists outside of the situation. In saying," there's nothing personal," the truck driver
gives a clear indication as to why he found the situation humorous.  The setting that
has emerged is one in which there is no personal connection.  There is nothing personal.
 There is merely situations, devoid of human emotion and affect.  It is in this
condition where humor emerges, almost creating a barrer between individuals and their
world and one another.  Through this, the truck driver laughs at the predicament of
another.

Describe Two examples of how Kingdom Fungi is helpful (two examples) and how it is harmful (two examples).

Fungi are very important ecologically, because they are
one of the most important decomposers in most ecosystems. They help to break down plant
fibers such as dead leaves and wood and allow the nutrients to be released into the
soil.

Fungi are useful to humans because they have economic
value. Some fungi, such as mushrooms and truffles, are eaten directly, and others are
used to produce things of value. Several important href="http://dwb4.unl.edu/Chem/CHEM869K/CHEM869KLinks/www.bergen.com/healthw/antibs19980427.htm">antibiotics,
including penicillin, were discovered by studying the fungi that naturally produce
them.

On the negative side, there are many fungi that can
cause infections of varying severity in humans. Athlete's foot, ringworm, and thrush are
all fungal infections of the surface of the body. A variety of fungi can also cause
respiratory
infections.

Fungi also cause wastage and loss of
foods. Some fungi, such as powdery mildew and ergot, can attack and spoil crops before
they are harvested, while many others cause food spoilage when food is being transported
to market or is in storage.

Is the contrapositive of "if the probability of an event is 0.1, then the event is unlikely to occur" true or false?The truth value of the...

Is the contrapositive of "if the probability of an event
is 0.1, then the event is unlikely to occur" true or
false?

The contrapositive of a conditional
statement logically always has the same truth value as the conditional statement. Since
the conditional statement is true (the probability p of an event is
assigned a number `0<=p<=1` with 0 impossible and 1 guaranteed, so p=.1 is
very unlikely), the contrapositive must also be true.

You
would have to be careful in how you worded the contrapositive, as the statement "An
event is likely to occur if the probability of the event is not .1" is false. A better
wording might be an event is likely to occur if the probability of an event is .9. Here
we use the fact that the negation of never is always, and the negation of addition is
subtraction, so we replace 0+.1 with 1-.1.

So
with careful wording the contrapositive is true.

Does the story plot conform to a formula ?

A great deal of criticism has been written on this story,
which is Updike's most frequently studied and anthologized short work. There is
certainly dramatic irony present in the plot: the central character, Sammy, is a sort of
antihero. His actions, when he decides to quit his job publicly as a sort of protest to
the treatment of three young female characters, can be seen as noble or heroic on
several levels. He is standing up for the young women, and thereby acting with gallantry
and chivalry. He is also acting heroically because he is acting against a perceived
injustice. As well, he is acting heroically by refusing to let himself be exploited in a
cruel, tyrannical workplace. But all of these heroic qualities are not fully realized,
since Sammy's action is also impulsive, foolhardy and probably damaging to his immediate
social and financial situation. Some critics have also noted the story's reference to
the painting "The Birth of Venus" and in this way, Sammy is also a romantic hero, one
who holds a pure and noble appreciation of female beauty.

What is the significance of the last sentence of "The Destructors"?

There are actually a number of different ways of answering
this question. Let us consider what it is that the driver says, which is also how the
author chose to end this disturbing story of post-war alientation. As the driver begins
to laugh, he justifies his laughter by saying:

readability="7">

I'm sorry. I can't help it, Mr. Thomas. There's
nothing personal, but you got to admit it's
funny.

One way of approaching
this story and looking at its ending is by focusing on the driver's lack of ability to
empathise with Mr. Thomas, who is sobbing and quite clearly distraught and offended by
the driver's laughing. Does this show the way in which not only the boys have been
"deadened" by the blitz and the war?

Secondly, you can link
this to the way in which the driver likens the house when it was there to a "man in a
top hat," which is clearly a symbol of the ruling class. This would indicate that the
last line and the disrespect it conveys shows the way in which the ruling order of the
British class system has been profoundly altered by the war, and the upper class no
longer occupy a position of such respect and power as they once
did.

How does kino change

In the novel, The Pearl, Kino is initially described as
one who treasures his family more than anything, even money. He is patient, loving and
appreciative of his young wife and son and he values them more than all else. In fact,
he seems content to simply live in his very modest home with his wife and child.
However, when he finds the enormous and beautiful pearl, he begins to
change.

Kino’s plans for his family immediately
change. He determines to marry Juana in a fancy church wedding, to buy new clothes for
the entire family, to buy a rifle for hunting and protection, and to pay for Coyotito’s
education. Moreover, he becomes obsessed with protecting the pearl until he can sell it
and become wealthy. He becomes moved by his passions, even to the point of abusing
Juana. He kills a man and ultimately loses his child and his opportunity for future
happiness.