We'll solve the system using elimination
method.
We'll add the 1st equation to the 2nd
one:
x + y + x - y = 4 +
6
We'll combine like terms:
2x
= 10
x = 5
y = 4 - x =>
y = 4 - 5 = -1
The solution of the system of equations is
(5 ; -1).
Therefore, the ordered pair (-5 ;
-1) is not the solution of the given system of
equations.
Geometric probability refers to the probability of an area
rather than a number. Geometric probability compares the size of the favorable area to
the total area. It is usually written as a fraction, however it can also be given as a
decimal or percent.
Suppose a rectangular pool is
surrounded by a deck and a fence. The pool is 30 ft long and 15 ft wide. The deck is a
consistent width around the pool. If a baseball is hit into the fenced area, what is
the probability that the baseball will land in the
pool?
Allow x to represent the width of the
deck.
The favorable area is the area of the pool. 30 * 15
= 450 sq ft
The total area is the area of the pool plus the
additional area of the deck.
total length as a binomial:
30 + x + x = 2x + 30
total width as a binomial: 15 + x + x
= 2x + 15
total area: (2x + 30)(2x + 15) = 4x^2 + 90x +
450
The geometric probability of the ball landing in the
pool is:
450 / (4x^2 + 90x +
450)
If you know the width of the deck, you can get a
numerical answer. For example, if the deck is 6 ft
wide...
450 / (4 * 6^2 + 90 * 6 +
450)
450 / 1134 `~~` 0.3968 or about
40%.
I hope this helped.
The thematic "big ideas" in Schmidt's deceptively
lighthearted novel have to do with the events that were current during the 1967 to 1968
school year. This confirmed when, in April of 1968, Holling and Mrs. Baker hear the news
of Martin Luther King's assassination (April 4, 1968) along with the rest of the world.
The thematic "big ideas" cover social, cultural, and political
topics.
On the social level, one thematic idea is the role
and effect of television on the American family. Schmidt considers the impact of
television after roughly two decades of invading the American dinnertime and living
room. At first the invasions were from Milton Berle, Red Skelton, The Philco Television
Playhouse, and George Burns and Gracie Allen ("Say good-night, Gracie." "Good night
Gracie."). But in the mid- to late-1960s, the invasions were from in-the-field
journalists exposing the Vietnam War and university student hunger strikes and
assassinations.
Walter Cronkite was announcing new bombing in
Vietnam. I thought [the tights] might catch [my father's] eye, even though the CBS
Evening news was on.
On the
cultural level, Schmidt explores the business milieu and work ethic, often referred to
as the "rat race," of the 1960s through Mr. Hoodhood's competitive and big stakes
profession as an architect. He also explores the disintegration of the American family
through both the distracted indifference of Holling's parents and the nearly
catastrophic temper tantrum of Holling's sister.
The
largest "big idea" thematic concern provides the distant backdrop for all--until Mrs.
Baker brings the backdrop to the foreground--and that is the Vietnam War. Walter
Cronkite moderates nightly reports from the front lines of the "conflict" and Mrs.
Baker, a past-Olympian, learns first-hand about the terrors of MIAs (persons missing in
action) when her husband is reported missing. In summary, the thematic big ideas relate
to social, cultural, and political issues current in 1967 and 1968 and specifically
examine television (no trivial nor insignificant thing), work, and the Vietnam War.
Metaphorically, Schmidt is humorously exploding the vision of the perfect America by
exploding the image of “The Perfect House”:
all the cement squares were perfectly white ...
This was also true ot the cement squares of the walkway ... bordered by perfectly
matching azalea bushes ... alternating between pink and white ... [that] stopped at the
perfect stoop ... up to the two-story colonial, with two windows on each side, and two
dormers in the second floor.
"Sinners in the Hands of an Angry God" is Johanthan
Edwards's most famous sermon delivered in a Puritan effort to awaken and persuade those
in the congregation who had not been "born again"; that is, they had not accepted Christ
as their savior. Edwards's sermon had such a powerful effect upon the congregation that
there was much shrieking and swooning. In fact, several times he was forced to ask his
audience for quiet.
This sermon stands as a powerful
example of rhetorical language, employing metaphor, simile, and repetition with very
strong emotional appeal. He begins by telling the congregation that the devil is
waiting for them with hell gaping so that flames can engulf them. Here are other
examples:
emotional
language
The bow of God's wrath is bent, and the arrow
made ready on the string, and justice bends the arrow at your heart, and strains the
bow, ....
The God that holds you over the pit of hell, much
as one holds a spider, or some loathsome insect over the fire, adhors you, and is
dreaduflly provoked; His wrath toward ou burns like fire; He looks upon you as worthy of
nothing else but to be cast into the fire; ...you are ten thousand times more abominable
in His eyes than the most hateful venomous serpent is in
ours.
O sinner! Consider the fearful danger you are in:
It is a great furnace of wrath...that you are held over in the hand of that God, whose
wrath is provoked and incensed as much against you, as against many of the damned in
hell....
repetition
There is the
dreadful pit of the glowing flames of the wrath of God; there
is hell's wide gaping mouth open; and you have nothing to stand upon, nor
anything to take hold of; there is nothing between you and
hell but the air....
There is
frequent use of the phrase "the mere pleasure of God
...."
...and
nothing to lay hold of to save yourself,
nothing to keep off the flames of wrath,
nothing of your own, nothing
that you ever have done, nothing that you can do, to induce
God to spare you one moment....
I think that one could say that Rakesh did remain devoted
to his father and his family until the end. Rakesh never really changes. He is shown
to be a devoted son at the start of the story and this is how he is at the end. He acts
and embodies the reverential son throughout. I think that there are two ways in which
to see this. In one respect, Rakesh fulfills the responsibility of children in the
traditional expectations of Indian society. He does his parents' bidding. They
demanded that he respect their word and be obedient. When Rakesh needed to come back to
India, he did. When he needed to marry a woman not of his own choice, he does. When he
is expected to adhere to what social standards expects of him, he does. Hence, this
makes perfect sense that when he is needed to cure his father, he does not shy from this
and pursues it vigorously and with devotion. In this light, he does represent a
"devoted son."
On the other side of the coin, perhaps the
ferocity and intensity within which he treats his father is a reflection of all that he
has had to sacrifice because of his devotion. Rakesh is not shown to be one who has a
voice at all. He does his parents' bidding. Perhaps, it is for this reason that he
dominates his father with so much zeal in the hopes of curing him. It would simply make
no sense for Rakesh to have given up his life for his parents and his father, in
particular, only to see him die. It is here where Desai might be showing that the
demands placed on children, if they are not monitored to allow some level of voice and
acknowledgement, devotion can be brought out in other ways. The dominating aspect in
which Rakesh relates to his father could be more of a reflection of his own
dissatisfaction with having lived his life for his parents and the inability to accept
the reality of age and death could be his response to such a condition. It is here
where Rakesh's devotion could carry another side to it. Regardless, I do think that
Rakesh's devotion is present in the story.
The architectural style in which the Washington National
Cathedral was designed and built is called Decorated Gothic. It is a style of
construction developed and used in England from roughly 1270-1380 (the 14th century).
The Gothic style of architecture made use of the pointed arch over doorways, windows,
and across the expanse of rooms. This innovation allowed for wider aisles, larger
rooms, and thinner walls with much larger windows. Flying buttresses on the outside of
Gothic structures gave support to arches and columns, allowing for construction of
cathedral spaces that seemed to reach right to the heavens containing the God being
worshipped within the cathedral. Carved stone and wood, as well as stained glass and
tapestry, conveyed lessons about the history of the Church, the beliefs of the
worshippers, and the magnificence of God.
I moved this to the Yeats poem because the image is
derived from his work. In "The Second Coming," Yeats discusses what he feels best
describes the modern setting with a series of images that reflect a sense of crisis and
decline. One of these images concerns the "ceremony of
innocence:"
The blood-dimmed tide is loosed, and
everywhere
The ceremony of innocence is
drowned;
For Yeats, this image is critical in
addressing the condition of disintegration that Yeats sees all around him following the
First World War. The "ceremony of innocence" refers to a practice of purity, of a rite
of passage, and of something that represents a structure and order. Ceremonies of
innocence are those that are rooted in a transcendent condition that provides meaning.
It is for this reason that madness and disorder have "drowned" the "ceremony of
innocence." The idea of "drowning" helps to bring out that disorder and chaos have
enveloped the hope of structure, the "ceremony of innocence."
