Which quote from the poem explains why the speaker left the ladder and bucket by the tree?

This poem by Robert Frost describes the apple-populated dreams and near-dreams the speaker has as he drifts off to sleep after a long day of harvesting apples. The poem begins by describing the ladder and empty bucket he has left by an apple tree. Two lines that say the same thing in different ways explain why he left the ladder and bucket there. Line 6 states straightforwardly: "But I am done with apple-picking now." He was done picking apples, so the ladder and bucket have been abandoned.
One might also wonder why he didn't bother to clean up after himself and put the ladder and bucket away. This can be understood if we read more into the words "I am done." We need to understand the exasperation and exhaustion that lace those words. The speaker elaborates further on, in lines 27 - 29:

For I have had too much
Of apple-picking: I am overtired
Of the great harvest I myself desired.

Readers now understand that the speaker just gave up and called it a day. He had picked and picked, careful to make sure no apples fell to the ground. He had stowed "load on load" of the fruit into the cellar. Now as he lies in bed, he can only see apples, hear apples, and feel the ladder rung on the soles of his feet. He feels so physically exhausted, and so mentally and emotionally full of apples, that he likens his exhaustion to a desire to hibernate for an entire winter beside the woodchuck. So readers can understand that from sheer exhaustion—physical, mental, and emotional—he couldn't wait to leave the orchard and those apples behind and head to bed. He didn't even bother to put away the ladder and bucket that still stood by the tree.

How do Belinda and Sherrena support each other?

Sherrena rents out properties to low-income individuals and families in the roughest neighborhoods of Milwaukee. Thanks to Belinda, a large part of her client base consists of individuals in receipt of SSI benefits, cash payments made to disabled people with limited income and resources. Belinda acts as a representative payee for SSI beneficiaries who can't manage on their own. Her client base is made up of those disabled enough to receive SSI but who aren't welcome in public housing. This is where Sherrena comes in. Because her clients can't access public housing, Belinda finds them places to live through Sherrena.
The business relationship between the two women is a win-win situation for them. Belinda gets to find properties for her clients while Sherrena is provided with a steady stream of tenants. And because Belinda guarantees their rental payments Sherrena doesn't have to worry about tenants defaulting on their rent. In turn, Sherrena can help Belinda deal with her clients' problems more quickly—such as emergency repairs or accommodation—and the quicker she can deal with them the more clients she can take on, and that means more money.

In reference to the quote below, what are two separate incidents when the members of the Greaser gang stick up for each other in Hinton's The Outsiders? "You take up for your buddies, no matter what they do. When you're in a gang, you stick up for the members. If you don't stick up for them, stick together, make like brothers, it isn't a gang anymore."

There are several scenes throughout the novel The Outsiders where the members of the Greaser gang stick up for one another. In the opening scene of the novel, Ponyboy is walking alone down the street when he gets jumped by a gang of Socs. The Socs throw Ponyboy on his back and begin punching him in the face. One of the Socs then takes out a knife and holds it against Pony's throat. Ponyboy panics and begins to scream at the top his lungs. Out of nowhere, Ponyboy hears people shouting, and the Socs let him go as they runaway. Darry is the first to arrive, and the rest of the Greaser gang shows up. The Greasers stick up for Ponyboy by coming to his aid and preventing the Socs from continuing to beat him up.
Another scene which portrays how the Greasers stick up for one another takes place in Chapter 6 when Ponyboy, Johnny, and Dally return to the abandoned church to find out that it is on fire. When Ponyboy enters the church, Johnny follows him into the burning building and helps save the children that are trapped inside. After saving the last child, Johnny selflessly pushes Ponyboy out of the window and saves his life. Dally then prevents Ponyboy from going back into the flames by knocking him out and enters the burning building to save Johnny. Both Johnny and Dally's actions demonstrate how the Greasers stick up for one another. Johnny saved Pony's life by shoving him out of the window, and Dally saved Johnny's life by rescuing him from the fire.

College Algebra, Chapter 1, 1.5, Section 1.5, Problem 78

The equation $\displaystyle \frac{1}{F} = \frac{1}{x} + \frac{1}{y}$ represents the lens equation where $F$ is the focal length of a convex lens with an object that is placed at a distance $x$ from the lens. Then its image will be at a distance $y$ from the lens. If the lens has a focal length of $4.8 cm$ and that the image of an object is $4cm$ closer to the lens than the object itself, determine how far from the lens is the object.

$\displaystyle \frac{1}{F} = \frac{1}{x} + \frac{1}{y} \qquad $ Model

If the image of an object is $4cm$ closer to the lens, then $y = x - 4$


$
\begin{equation}
\begin{aligned}

\frac{1}{4.8} =& \frac{1}{x} + \frac{1}{x - 4}
&& \text{Substitute the given}
\\
\\
\frac{x(x - 4)}{4.8} =& x - 4 + x
&& \text{Multiply both sides by the LCD } x(x - 4)
\\
\\
x^2 - 4x =& \frac{48}{5} x - \frac{96}{5}
&& \text{Multiply $4.8$ or } \frac{24}{5} \text{ then simplify}
\\
\\
5x^2 - 20x =& 48x - 96
&& \text{Multiply by } 5
\\
\\
5x^2 - 68x + 96 =& 0
&& \text{Subtract $48x$ and add}
\\
\\
(5x - 8)(x - 12) =& 0
&& \text{Factor}
\\
\\
5x - 8 =& 0 \text{ and } x- 12 = 0
&& \text{Zero Product Property}
\\
\\
x =& \frac{8}{5} cm \text{ and } x = 12 cm
&& \text{Solve for } x


\end{aligned}
\end{equation}
$

What does Aries and the bright Bull signify in "Spring" by James Thomson?

Thomson is describing the arrival of spring emerging out of the long winter months. The above line from the poem details the transition from March to April, which is usually heralded as the start of spring. In the zodiac, Aries is the star sign for those born between March 21 and April 19. It is symbolized by the ram. The "bright Bull" refers to Taurus, which in the zodiac is the astrological sign that follows Aries. In Western astrology, the sun is in the sign of Taurus from April 20 until May 21, so we can see why it is associated in the poem with the arrival of spring sunshine. Just as Aries is symbolized by the ram, Taurus is symbolized by the bull. Thomson's reference to a "bright Bull" relates not just to sunshine, but also to the dawn of new life one associates with the arrival of spring.
https://en.wikisource.org/wiki/Spring_(Thomson)

What are the approximate dates associated with early, high, and late/mannerism Italian Renaissance art?

The Italian Renaissance spans the late thirteenth, early fourteenth centuries through the late sixteenth, early seventeenth centuries.
The early Renaissance was centered in Florence and is associated with the deeply influential Medici family. Their patronage began with Giovanni di Bicci de' Medici, (1360–1429), who commissioned work by Masaccio and Brunelleschi. His son Cosimo the Elder supported the work of Donatello and Fra Angelico.
The high Renaissance of the sixteenth century also flourished with the patronage of the Medici; in this period it was Lorenzo the Magnificent, patron of Sandro Botticelli, Domenico Ghirlandaio, Andrea del Verrocchio, Leonardo da Vinci and Michelangelo Buonarroti.
The late Italian Renaissance of the late sixteenth century featured artists including Cellini, Bronzino, Veronese, and Parmigianino. This Mannerist period produced paintings and sculptures with elongated faces and limbs that moved away from the realistic figurative work of the high Renaissance.

What are some quotes in Of Mice and Men that indicate that Curley‘s wife is unhappy with her life?

Curley's wife is deeply unhappy with her lot in life, and she does not try to hide her dissatisfaction from the men on the ranch. They discuss her behavior behind her back, worrying that her behavior will inspire her hot-headed husband to violence, and she herself reveals to some of the men that she doesn't actually respect nor like her husband. The quotes below are only a few from the novel that can be used to evidence Curley's wife's negative and unhappy state of mind.
In chapter 3 of Steinbeck's Of Mice and Men, several of the men sit together and play cards in the bunkhouse. Whit discusses Curley's wife, insinuating that she is unsatisfied by her life with Curley. He uses her curiosity about other men and her attention-seeking behavior as proof of his opinion:

Whit laid down his cards impressively. "Well, stick around an' keep your eyes open. You'll see plenty. She ain't concealin'nothing. I never seen nobody like her. She got the eye goin' all the time on everybody. I bet she even gives the stable buck the eye. I don't know what the hell she wants."

In chapter 4, Lennie talks with Candy and Crooks as Curley's wife interrupts them. She tries to have a conversation with them, and her loneliness is on display for the men. She makes the men uncomfortable and nervous with her attention and her obvious desire to engage them in a chat. When Crooks suggests she go back home, she responds with a petulant comment that reveals her unhappiness and boredom:

Well, I ain't giving you no trouble. Think I don't like to talk to somebody ever' once in a while? Think I like to stick in that house alla time?

Candy echoes Crooks's words in response to Curley's wife, reminding her that she has a husband and that she shouldn't be trying to cause problems for the other men. His words anger Curley's wife, and she vents about her husband in sarcastic frustration and bitterness, confirming her marital dissatisfaction in no uncertain terms:

Sure I gotta husban'. You all seen him. Swell guy, ain't he? Spends all his time sayin' what he's gonna do to guys he don't like, and he don't like nobody. Think I'm gonna stay in that two-by-four house and listen how Curley's gonna lead with hisleft twicet, and then bring in the ol' right cross? "One-two," he says. "Jus' the ol' one-two an' he'll go down."

Though Curley's wife is simply reacting to a lonely situation, her quest for company and conversation puts the other men in harm's way. Her mannerisms feel dangerous to the men; perhaps if she were less glamorous and less flirtatious in her attempts to talk with the men, they would be more gentle with her when setting boundaries. No matter her manner, Curley's wife is most certainly a desperate and unhappy person, trapped in a marriage to an unpleasant man on a ranch with no one to talk to about her problems.

Curley and his wife have only been married for a short time, but she is already expressing her unhappiness with him, as well as with being stuck in his house on the ranch. When she shows up in Crooks' domain, which is the harness room leaning next to the barn, the men question why she is there. She responds:

Think I don’t like to talk to somebody ever’ once in a while? Think I like to stick in that house alla time?

The quote indicates she is lonely, bored, and dissatisfied.
Beyond her dissatisfaction with her isolated situation as the only woman on the ranch, Curley's wife is also discontented with her new husband. She is especially bored by his bragging about fighting other men:

Swell guy, ain’t he? Spends all his time sayin’ what he’s gonna do to guy she don’t like, and he don’t like nobody. Think I’m gonna stay in that two-by-four house and listen how Curley’s gonna lead with his left twicet, and then bring in the ol’ right cross?

But it is not only the ranch and Curley that fail to meet up to her expectations. She also wishes to be going out on a Saturday, insisting that everyone else is. The last thing she wants to be doing is hanging out with inferiors and misfits, which is how she describes her plight:

—Sat’iday night. Ever’body out doin’ som’pin’. Ever’body! An’ what am I doin’? Standin’ here talkin’ to a bunch of bindle stiffs—a nigger an’ a dum-dum and a lousy ol’ sheep—an’ likin’ it because they ain’t nobody else.

Curley's wife is a woman with little to do who conveys that she is unhappy in both her marriage and her life situation, forced to socialize with misfits because she has no other choice.
Curley's wife expresses a desire to go to Hollywood and be in pictures. The ranch is stifling to her, and Curley is too self-absorbed to give her the attention that she craves. It can be easy to condemn Curley's wife, but she is hardly more than a girl and trapped in a situation she doesn't know how to manage.

Curley's wife is the only woman on the farm and is portrayed as a lonely, entitled woman who lives a miserable life. Her husband is a hot-headed, arrogant man, who forbids her from talking to the workers and fears that she will cheat on him. The workers avoid Curley's wife as much as they can, and George gives Lennie clear instructions to stay away from her. George fears that Lennie will harm Curley's wife and does not want to experience another dangerous situation similar to what happened in Weed.
In chapter 5, Curley's wife wanders into the barn and finds Lennie attempting to cover his dead puppy with hay. Lennie initially rebuffs Curley's wife when she attempts to have a friendly conversation with him. When Lennie refuses to speak to her, Curley's wife reveals her unhappy life by saying,

I get lonely...You can talk to people, but I can't talk to nobody but Curley. Else he gets mad. How'd you like not to talk to anybody?

She continues to lament about her lonely, unfulfilling life by telling Lennie,

Seems like they ain't none of them cares how I gotta live. I tell you I ain't used to livin' like this. I coulda made somethin' of myself.

Overall, Curley's wife is unhappily married to an arrogant, pugnacious man who forbids her from talking with the other men, which makes her feel like an outcast on the ranch.

In Of Mice and Men, there are a lot of quotations that show Curley's wife is unhappy with her life. In chapter 4, for example, she reflects on the life she could have had:

An' a guy tol' me he could put me in pitchers . . .

In this same section, she notes that instead of having the life of a movie star, she's stuck, left talking to a "bunch of bindle stiffs." This shows that Curley's wife has some regrets from her past.
Later, in chapter 5, she says,

I never get to talk to nobody. I get awful lonely.

For Curley's wife, life on the ranch is oppressive and isolating. Instead of living an exciting and meaningful life, she is trapped in an unhappy marriage with Curley. In chapter 4, she says to Lennie,

I'm glad you bust up Curley a little bit. He got it comin' to him. Sometimes I'd like to bust him myself.

In other words, she regrets her marriage to Curley. He is abusive towards her, leaving her feeling resentful towards him. Curley's wife is, therefore, unhappy, lonely, and surrounded by people who consider her to be "jailbait."