In "A Good Man is Hard to Find" how does O'Connor portray the grandmother? '

O'Connor
portrays the grandmother as a difficult, childish, and annoying woman. She takes great pride in
her status as a lady, dressing carefully for the road trip. She is sneaky, in that she smuggles
her cat into the car, unbeknownst to anyone. She is manipulativeshe knows she will not sway
Bailey to turn down the deserted country road that she thinks leads to an old mansion, so she
works on the children until they raise such a fuss their father gives in. She is a racist, and
she likes to talk tiresomely about the good old days, when things were supposedly
better.

While the grandmother is a difficult person, we can have some
sympathy for her because her family treats her dismissively and pays no attention to her
desires. The children are allowed to be rude to her. She is obviously a pain...

What is Martin Luther King's view of the "American Dream" as seen in his "I Have a Dream" speech?

The
American Dream is that anyone from any walk of life can make it big and find happiness so long
as they work hard. This dream assumes that society allows people to achieve this success,
regardless of class, race, gender, or any other such demographic classification.

Martin Luther King Jr. believed in the American Dream (he even says his specific dream
is embedded within the American Dream itself), but he also knew that it was not a reality for
everyone, especially black Americans. Even after slavery was abolished in the United States,
black Americans were still repeatedly denied human rights and opportunities that white Americans
enjoyed.

In the "I Have a Dream" speech, King believes that the
American Dream can only become a reality when all people in the United States view one another
as brothers and equals, regardless of racial differences. In this way, King does not deny the
validity of the ideals behind the American Dream; however, he does criticize the United States's
inability...

From the short story "Rappaccini's Daughter," what inferences can you make about Beatrice and the garden?

Both
Beatrice and the garden are poisonous. This much is obvious. But both are also innocent. The
garden is clearly not a conscious being with malicious intent. It just happens to be beautiful
and deadly. Beatrice is also innocent. She has no malicious intent. She just happens to be
beautiful and deadly, like the garden, through no fault of her own. 

Rappaccini has created what we might call a reverse Garden of Eden. Instead of healthy
plants as God had created, Rappaccinni has created poisonous ones. Instead of starting with a
man (Adam), Rappaccinni has started with a woman. And Rappaccinni is in opposition to a
benevolent God. Rappaccinni has not created a paradise for his daughter. He's created a prison;
therefore, something more like Hell in the disguise of a Heavenly garden. The narrator makes it
clear that the garden (flower in particular) and Beatrice are similar: 

Flower and maiden were different, and yet the same, and fraught with
some strange peril in either shape. 

Beatrice refers to
the shrubs and flowers as "sisters." She seems to have sympathy and/or empathy with
these beautiful and deadly plants because they share the same predicament. She and the garden
are marked by these paradoxical notions of immortal beauty and death. So, there is this sense of
evil juxtaposed to heavenly beauty. But neither Beatrice nor the garden are inherently evil.
They represent the folly of a man who tries to be God. Beatrice and the garden are Rappaccinni's
creations. He has endeavored to be like God in creating an immortal and beautiful world for his
daughter. Beatrice and the garden are symbols of temptation, but both are innocent in and of
themselves. It is Rappaccinni that imbues them with evil and death. 

How is sharecropping a reason why Reconstruction was a failure?

One of the
purposes of(at least in the minds of some people) was to give the freed slaves a chance at a new
and better life.  The fact that sharecropping became so prevalent shows that Reconstruction
failed to achieve that goal.  Sharecropping kept blacks in poverty and in a position in which
they pretty much had to do what they were told by the owner of the land they were working.  This
was not very good for the freed slaves in that it did not give them a chance to truly escape the
way things had been during slavery.

In To Kill a Mockingbird, what does Heck Tate give as the reason for Bob Ewell's attack on Jem and Scout?

In ,
Sheriff Tate anddiscuss Bob Ewell's attack onand . Atticus comments that he believes Bob Ewell
was simply out of his mind for attacking two innocent children, but Heck Tate disagrees. He
tells Atticus that Bob Ewell was not out of his mind, but rather was just "mean as
hell." Heck Tate believes Bob was a despicable individual who had enough liquor in him to
attempt to murder two children. In Sheriff Tate's opinion, Bob Ewell was an evil man who
deserved to be shot a long time ago. Bob's attempt to harm children was inevitable because he
was such a coward. Atticus cannot comprehend what could possibly make a person want to kill two
children, but Heck Tate assures him that Bob Ewell was simply a worthless, evil
man. 

solve for x if x^3 +x^2 +x +1 = 0

We have to
solve for x: x^3 +x^2 +x +1 = 0

x^3 +x^2 +x +1 = 0

=>
x^2( x + 1) + 1(x + 1) = 0

=> (x^2 + 1)(x + 1) = 0

x +
1 = 0

=> x = -1

x^2 + 1 = 0

=>
x^2 = -1

=> x = i , -i

The values of x
are -1 , i , -i

What images and figure of speech might have helped Edward's listeners to feel the peril of their sinful condition?

uses many
vivid images to make and reinforce his point to the members of his congregation.  Perhaps the
most powerful image is the extendedof God holding the sinner over the pit of hell.  €¦there is
nothing between you and Hell but the air;  it is only power and mere pleasure of God that holds
you up.  This image would have been even more powerful in Edwards time than it is today, as
Puritan worshippers were regularly exposed to the idea of a fiery hell.

Edwards also uses the idea of sin (wickedness) making a sinner as heavy as lead.  He
describes the sin weighing down the sinner to the point that if God should let go, you would
immediately sink and swiftly descend and plunge into the bottomless gulf.  Furthermore, he says
the best efforts of the sinner to stay out of hell once God decided to let go would be no more
effective than a spiders web would have to stop a falling rock.

Edwards
also uses similes and metaphors to draw a clear picture in the mind of his listener.  One of
these images is the black clouds of Gods wrath now hanging directly over your heads.  His
comparison of Gods anger to a storm is a particularly effective image, as is the image of the
destruction of the sinner to a whirlwind: €¦and you would be like the chaff of the summer
threshing floor.  Edwards listeners, members of an agricultural society, certainly relate to the
ideas of weather and the parts of the grain that are not useful. 

Two other
important images are the wrath of God being compared to damned waters: €¦the waters are
constantly rising€¦there is nothing but the mere pleasure of God, that holds the water back  and
the Bow of Gods wrath is bent, and the arrow made ready on the string€¦  Edwards images are
not only powerful, but they are also everyday images with which every member of his congregation
would have had experienc