Chemistry help please! State one technological and Lifestyle change for the following details below! Thanks!? 1. Aluminium ore from South...

As aluminum grows more expensive, the need to recycle
aluminum will become more important.  One social change wil be to place a greater
premium on recycling, as more money can be earned for collecting aluminum cans, the more
incentive there will be for people to separate out their aluminum cans from regular
garbage.  As recycling becomes a more conscious part of social fabric (like the deposits
that used to be collected for returning glass bottles when in the past they were the
dominant container)-people will be less cavalier about the difference between recycling
bins and trash bins. When raw materials were cheap, a lax attitude toward recycling grew
in the U.S., as incomes fall and raw material costs increase, economic necessity will
bring about social change.

Necessity is also the mother of
invention.  Technological change will be given an incentive as costs rise.  This could
lead to the use of alternative materials for packaging of beverages.  Plastics are
already regularly used, but as they are petroleum based, the need for recyling these
will also become more and more important.  Also altering the shape of the can to
conserve resources is already occuring.

Solve the equation:Sin(x) + root3*cos(x) = 1

Solve the equation: `sin x + sqrt(3)cos x=1`
.

`sinx+sqrt(3)cosx=1` Given
equation

`sin^2x+2sqrt(3)sinxcosx+3cos^2x=1` Square both
sides

`sin^2x+cos^2x+2sqrt(3)sinxcosx+2cos^2x=1`

`1+2sqrt(3)sinxcosx+2cos^2x=1`
Pythagorean identity

`2sqrt(3)sinxcosx=-2cos^2x` Subtract
from both sides

`sqrt(3)sinx=-cosx` Divide by `2cosx`
;`cosx!=0`

`tanx=-1/sqrt(3)`

Here
`x=(5pi)/6 +- kpi` with `k in ZZ` . However, squaring both sides introduced an
extraneous solution. `(5pi)/6` does not work.

Thus the
solution is `x=(11pi)/6 +- 2kpi` ;`k in ZZ`

Describe how Vianne was a good mother. Use quotes from the text to support your answer.One example is how Vianne is a positive role model for her...

In describing Vianne as a good mother, it is a good idea
to brainstorm some ideas before looking for quotes.  I like what you have so far in
labeling her as one who accepts everyone's beliefs.  If I'm correctly understanding you,
a better way to say this might be to simply call her "open-minded."  This seems to
maintain the same positive connotation, but doesn't present the arguable side that all
accepting could also be translated to non-confrontational and weak (which she certainly
isn't).  Also, it isn't necessarily true that she actually accepts everyone's beliefs. 
If she did, she wouldn't be pushing to keep her chocolate shop open in a town which
attempts to fully observe sacrifice during Lent.

Similar to
your first idea and playing off the open-minded description, you could look at Vianne's
general acceptance of all people, no matter who they are, where they come from, what
they are hiding, nor how society feels about them.  Even her enemy, the priest, is
welcomed in her shop and spoken to with kindness.

When she
meets Guillaume she hands him a box of treats and says, "They're your favorite kind...I
know everyone's favorite.  Trust me, this is yours."  (p.
18)

When she meets Josephine, who has just shoplifted from
her, she gives her a package similar to the one the woman has stolen and finishes with,
"On the house, Josephine...It's all right.  They're your favorites."  (p.
20)

You could find several other quotes throughout the book
to support the way Vianne builds relationships without judgment and with kindness.  This
certainly could be considered a key trait of good motherhood and role
modeling.

What is the conflict in "Hills Like White Elephants?"

" Hills LIke White Elephants" by Ernest
Hemingway

The conflict faced by the main characters is the
unexpected pregnancy.

the American point of view single and
in his prime, he makes the most of his lifestyle by traveling and seeing new sights. The
story is set on one such excursion, at a train station in Spain. Of the complications
that might arise from starting a family, one is certain to him: traveling, sight-seeing,
and his current lifestyle would be things of the past. These are some of his motivating
thoughts as he pleads his case for terminating the pregnancy. He chooses his words
advantageously

What would you consider to be the three most important points in Ralph Waldo Emerson's essay, "Self-Reliance?"

There are many meaningful points made in Emerson's
"Self-Reliance," three stand out, and while presented here separately, they all are
interrelated—each depending upon the other.

The first is
"genius."

To
believe your own thought, to believe that what is true for you in your private heart is
true for all men—that is
genius.

Emerson states that
genius is not only knowing what is true for each of us, but also
knowing that the same truth holds fast for all
men. He praises the ability of one to have faith in himself. He notes that genius is
looking at what we believe and holding to that even if other's criticize us. Each of us
is unique:

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Trust thyself: every heart vibrates to that iron
string. Accept the place the divine providence has found for you,
the society of your contemporaries, the connection of events. Great men have always done
so, and confided themselves childlike to the genius of their
age...

[*the divine
providence: God]

Emerson
notes...

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...society, by its nature, coerces men to
conform.

And
so...

Whoso
would be a man, must be a
nonconformist.

Next, Emerson
speaks of foolishly conforming for others. As alluded to in the previous point, society
criticizes rather than praises those who are different; many people will do anything to
please society and remain "consistent" for fear of what society will say if an one
changes his mind.

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For nonconformity the world whips you with its
displeasure...

Society wants
all of its parts to be in complete agreement. Emerson dismisses
this:

My life
is not an apology, but a life. It is for itself and not for a
spectacle.

In terms of
"foolish consistency," Emerson also writes:

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A foolish consistency is the hobgoblin of little
minds, adored by little statesmen and philosophers and divines. With consistency a great
soul has simply nothing to
do.

Emerson believes that to
change one's mind is necessary if one finds reason to do so; to be constant
simply for what others will think is
nonsense:

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...if you would be a man speak what you think
to-day in words as hard as cannon balls, and to-morrow speak what to-morrow thinks in
hard words again, though it contradict every thing you said
to-day.

Will a man then be
misunderstood? Great men of the past, he writes, have been misunderstood: Socrates,
Jesus, Luther, etc.

Finally, Emerson speaks also to
self-worth. He notes that it is not easy to be your own person, but that a truly great
person will turn his back on what society thinks and find his personal value in doing
what is right for him, regardless of the opinions of
others.

What I
must do is all that concerns me, not what the people think...It is the harder because
you will always find those who think they know what is your duty better than you know
it.

The author says it is
easier to conform, but...

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...the great man is he who in the midst of the
crowd keeps with perfect sweetness the independence of
solitude.

There are other
"themes" in this piece, and all seem tied by the need to be unique and satisfied with
one's place in life—not to worry about what others believe, but to follow one's heart.
And in all, Emerson refers to man's connection to God. God places us in the position we
occupy in the world, with the ability to be our
best...

...but
God will not have his work made manifest by
cowards.

Emerson insists that
individual strength and belief in one's chosen path, will lead us to self-satisfaction,
as God would have it.

What might the author be trying to say by creating both Mildred's attempt to commit suicide and Beatty's actual death?

The quickest answer to your question would be that in this
particular society, most would prefer death to life. It must have been that terrible to
live in. But a closer look at each person will reveal even further
truth.

Mildred had no concept of the length to which her
life had really been destroyed. This society had beaten all thought, emotion, and desire
for human contact out of her. If you think about it, those attributes are what we really
live for. Her attempt was somewhat unknown to her. She had no idea how unfeeling she had
become and would not have noticed if she died. Her attempt occured out of her own
futility.

Beatty knew better. He is a man who had been
well-read. He was living a double life and it killed him. He put himself in front of an
angry Montag and antogonized Montag when Montag had a weapon of fire in his hands.
Beatty knew the potential of a life with thought and emotion, but he could not live it
because he had to play the role given to him as fire captain in order to stay alive. By
the time he dies, I believe he dies with the peace that death would be better than the
world they live in.

In "The Interlopers," why is the narrow strip of woodland so jealously guarded by the Gradwitz family?

The absurdity of the long-enduring feud that exists
between these two families is expressed in the qualities of this narrow strip of land.
The narrator is very careful to tell us that it is remarkable neither for the quality of
game nor the opportunities that it gave for shooting, but in spite of this, it was the
"most jealously guarded of all its owner's territorial possessions." Although we can
infer that Ulrich von Gradwitz inherited vast tracts of land and territory, it is this
unattractive and undistinguished, narrow piece of land that he obsesses over. The
narrator goes on to tell us why:

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A famous lawsuit, in the days of his
grandfather, had wrested it from the illegal possession of a neighbouring family of
petty landowners; the dispossed party had never acquiesced in the judgment of the
courts, and a long series of poaching affrays and similar scandals had embittered the
relationships between the families for three
generations.

Thus it is that
we are shown Ulrich von Gradwitz guarding the property that he sees as belonging to him
by himself on this dark and stormy night, and this piece of land becomes the focus of
the personal feud between him and Georg Znaeym.