Is "impressed" a tone word?Is there a different example of tone that is like "impressed"?

You could certainly use "impressed" as a tonal word
because an author can present an attitude of being impressed by something or someone. 
For example, Malcolm Gladwell, the author of Blink, often
demonstrates an impressed tone toward the psychologists and their research that he cites
in Blink.  Just keep in mind that tone is the author's or speaker's
attitude not your reaction as a reader or viewer to something or
someone.

Depending on the connotation of the work that you
are reading, some other words that would be close in meaning to "impressed" are: "awed,"
"inspired," "admiring," "fawning," or "intrigued."  While these words do not have the
exact meaning of "impressed," you might see one that works for specifically for the work
you're reading than "impressed."

Identify stereotypes that foreigners typically hold about Americans.Why do you think they might hold these stereotypes? Please not that these...

I would say that one stereotype that foreign investors
might have about American business and management resides in the level of unilateral
action that is taken.  The perception is that Americans in business might not fully
grasp the globalized reality of interdependence and cooperation.  This comes from the
fact that America has been seen as a leader in business and industry for much of the
last century.  The emergence of a globalized setting has created a reality where there
is more linearity and more collaboration as the work setting has become more equalized. 
When Fareed Zakaria calls this "the rise of the rest," it helps to bring to light how
Americans might not fully understand this condition.  This stereotype was enhanced
throughout the world with the depiction of how America entered its conflict with Iraq in
a unilateral manner that was depicted as more hubris and pride than anything else.  In
the end, this stereotype exists, but is becoming more diluted as the globalized work
setting envelops us in an increasingly relevant manner.

Determine the length of the height of triangle ABC, that is perpendicular to BC, if BC= 15, AB=13 and AC=14.

We have the triangle ABC where
:

AB = 13 AC = 14 and BC =
15

Then we can find the area usind the
formula:

a =sqrt
P(p-a)(p-b)(p-c)

Forst let us determine
P

P = perimeter/2 = 13+14+15/2 = 42/2 =
21

==> a = sqrt(21*6*7*8) =
84

We also know that:

area (a)
= (1/2)* base*height

Since we need to determine the height
of the perpindicular on BC, then let the height be AD and the base is
BC.

==> a =
(1/2)*AD*BC

==> 84=
(1/2)*AD*15

==> AD = 84*2/15 =
56/5=11.2

Then AD = 11.2

What are the major English word formation rules?Discuss with examples of your own.answer in detail

If you do some simple research on this, you will find
great explanations with examples. To summarize, however, there are many processes by
which words come into a language.

Aggulutination – forming
new words by adding affixes (prefixes and suffixes) to them, i.e. “use” + “less” +
“ness” = “uselessness”

Acronyms – forming words from
initials of words in a phrase such as RADAR: Radio Detection and Ranging and LASER:
Light Amplification by the Stimulated Emission of
Radiation 

Borrowing – just what it sounds like, borrowing
from another language. English has borrowed words from all sorts of languages – Latin,
German, romance languages, etc. Sometimes this is the same as "loan words" (see
below).

Back-formation – removing prefixes and suffixes
from existing words, such as forming “edit” from
“editor”

Blending – forming a word by joining parts of two
or more other words such as “smog” (smoke = fog)

Clipping –
making a word from part of another word, such as “ad” from “advertisement” or “auto”
from “automobile” etc.

Calque (one of my favorites) –
borrowing a word or phrase from another language that is a word-for-word translation.
Examples are “flea market” from the French "marché aux puces"
 (“market of the fleas”) or “by heart” from French “par coeur” or “honeymoon” from
French “lune de miel (moon of honey).

Compounding –
Combining two different words into one – tons of examples of this: airplane,
grandfather, butterfly, outgoing, etc.

Conversion – Using
the same word as different parts of speech, such as “rain” as a noun and a verb or
“snow” as a noun and a verb

Neologism (here is a compound
word for you!) – it literally means “new wordism” but this process is that of making up
totally new words, such as xray, google, blog, kleenex,
etc.

Loan words – borrowing words or phrases from other
languages: déjà vue, cliché, cul-de-sac, etc.

Onomatopoeia
– words that imitate sounds: buzz, jingle, zip, tweet, cukoo,
etc.

There are others, but these are the main
ones.

Explain this quote from Things Fall Apart - "Amalinze was a wily craftsman, but Okonkwo was as slippery as a fish in water."

With the use of these colorful descriptions, the author is
comparing Amalinze, the famed wrestler, to Okonkwo, the young upstart who was finally
able to beat him.

Amalinze was known as "Amalinze the Cat"
because of his great skill in wrestling. Amalinze was legendary, and for seven years, no
one could beat him. The author describes Amalinze's approach to his sport, comparing it
to a craftsman who knows his skill better than anyone else. "Wily" means "artful" or
"cunning," and Amalinze, the "wily craftsman," had such knowledge of his craft that he
was, for a great many years, the undisputed best.

The
author goes on to describe Okonkwo metaphorically as being "as slippery as a fish in
water." A fish in water, quick and nimble, is almost impossible to catch, and when
Okonkwo goes up against Amalinze in the fateful wrestling match, the older man is unable
to pin him down. Okonkwo, young, athletic, and strong, is the first to vanquish Amalinze
in seven years, as youthful physical ability, as signified by the "slippery fish,"
trumps age and experience, as delineated by the "wily craftsman." The "fish" has eluded
the "Cat" and overthrown him, bringing great honor and pride to the village, and
enormous fame to Okonkwo himself (Chapter 1). 

Find the common point of the lines 2x+2y=4 and x-3y=5

To determine the intercepting point of the
given lines, we'll have to solve the system formed by the equations of the
lines

We'll try to solve the
system using substitution method.

x - 3y =
5

x = 5 + 3y (1)

We'll
substitute (1) in the second equation of the system:

2x +
2y = 4

We'll divide by 2:

x +
y = 2

(5 + 3y) + y = 2

We'll
remove the brackets:

5 + 3y + y =
2

We'll combine like terms:

5
+ 4y = 2

We'll subtract 5:

4y
= -3

We'll divide by
4:

y =
-3/4

We'll substitute y in
(1):

x = 5 - 9/4

x =
(20-9)/4

x =
11/4

The solution of the
system is {(11/4;-3/4)}. 

Explain arbitration and mediation and how they apply to labor realtions.

Arbitration is a process whereby two parties in dispute,
in this case probably labor and management, agree to follow the procedures set down by
an outside party but using it as an avenue to settle their disputes without taking them
to court.  It allows both sides to agree on a process and then the opportunity for them
to give up their decision making authority to this arbitrator if the two parties
agree.

Mediation is a similar process and someone acts as
the mediator and can help to offer a non-biased opinion on how to resolve a matter,
particularly if the negotiations between the two parties are at an
impasse.

Both processes are considered alternate forms of
dispute resolution and often play an important role in working out disputes between
labor and management given that the two sides often find it very difficult to see things
from each other's perspective.