What gadgets does Bradbury mention?

The Hadleys' house is filled with technical advancements and contrivances.
In the house, there are sound and smell effects initiated by mechanical devices. For instance, as George and Lydia Hadley walk through the halls of their home, lights go on and off automatically. (This was a new concept at the time of Bradbury's writing of the story.) When the Hadleys enter the nursery, sound effects are engaged as the walls "purr" and seem to disappear. Then an African veldt appears in three dimensions, along with sound effects. "And again George Hadley was filled with admiration for the mechanical genius who had conceived this room."
However, the Hadley house is so mechanized that Lydia feels that she is no longer needed. There is an automatic scrub bath for the children, so she does not bathe them or interact with them in any other way; she does not cook for them or wash and put out their clothes for school. Later, George and Lydia sit down for dinner alone because Peter and Wendy are at "a special plastic carnival" on the other side of town. Then, as George realizes the ketchup is not on the table, he asks about it. "'Sorry,' said a small voice within the table, and ketchup appeared."
Unfortunately, the mechanization of the Happylife Home has left it sterile and impersonal. As a result of all the gadgets and special effects generated by electronic contrivances, George and Lydia have little interaction with their children. This mechanization has caused the Hadleys to lose the warmth of a real home.

In what ways might Jane Eyre be considered a feminist novel critiquing the time period? What points does the novel make about the treatment and position of women in Victorian society? Pay particular attention to the book's treatment of marriage; is there any way in which it might be considered anti-feminist?

I am not sure if it is fair to say that Jane's marriage to Rochester is anti-feminist because she becomes a caretaker for her husband. Of course, to discuss this, one would have to clearly define the term "feminism," and not everyone understands the concept the same way. I would argue, however, that since Jane married Rochester completely by choice, fully aware of his disability, the marriage is not an antithesis to feminism. As a contemporary example, consider a woman who makes a choice to become a homemaker and take care of her children and household. If she makes this choice independently and free of societal or any other pressure, would it be considered anti-feminist?
Consider as an example of anti-feminism in the novel the episode where Jane is chastising herself for being jealous of Blanche Ingram. She tells herself to draw a beautiful, flattering picture of Blanche and an honest picture of herself that exaggerates all the imperfect features. She is trying to convince herself that she is inferior to Blanche based almost purely on looks, which is certainly not a feminist approach.

In many ways, Jane Eyre could be considered a feminist novel, as it critiques the marriage conventions of the day in which the wealthy Rochester is expected to marry a lady such as Blanche Ingram. Bronte suggests that the typical Victorian marriage based on class offers unhappiness, and this is certainly true of Rochester's first marriage to Bertha. In her youth, Bertha was renowned for her beauty, and she was also wealthy. Rochester marries her without realizing that she is insane, and Bronte criticizes the way in which Victorian marriages were carried out without brides and grooms getting to know each other. Instead, they were matches in which superficial impressions, wealth, and class were prized.
Jane's marriage to Rochester is one based on choice, compatibility, and love, and they love each other even though they are not from the same class. In this sense, their marriage is feminist. However, their marriage could also be considered anti-feminist, as Jane must be involved in caring for Rochester after he has been debilitated by the fire that Bertha set. Jane's marriage to Rochester will be one of servitude and sacrifice, so in this sense, it is anti-feminist.

What is the Friar's reaction when he is informed Romeo wishes to marry a Capulet?

The Friar's initial reaction is to chide Romeo for his fickle nature. Just a couple of days earlier, Romeo was weeping for Rosaline, but he is now informing the Friar that he is in love with, and wishes to wed, Juliet, who is a Capulet. He was "doting, not loving" Rosaline, and the Friar is fairly certain, despite Romeo's protestations, that the same is true of Juliet.
But Friar Laurence also sees an opportunity in Romeo's newfound love. He hopes that the union of Romeo and Juliet will reconcile their two feuding families. "[T]his alliance," he tells Romeo, "may so happy prove / To turn your households’ rancour to pure love." Thus he makes a fateful decision to marry Romeo and Juliet not in spite of the fact they come from feuding families, but because of it. The audience is aware even at this point that the Friar's decision, however well-intentioned, will not end well for the two "star-cross'd" young lovers. Romeo's love for Juliet is genuine, despite the Friar's initial reaction, but it is not able, at least in life, to transcend the hatred between their two families.

How does Napoleon seize power in Animal Farm?

In the middle of a meeting in chapter 5, Snowball stands in front of the animals and elaborates on his extensive plans to built a windmill, which would produce electricity on the farm and reduce the amount of physical labor needed to complete various tasks. Snowball is able to persuade the animals during his speech, and Orwell writes that the animals were about to vote for Snowball's plan when Napoleon calls for his dogs. Immediately, nine ferocious dogs run into the barn and attack Snowball. Snowball manages to escape from the barn and is chased off the farm by Napoleon's dogs. The dogs then return to the barn and faithfully stand at attention next to Napoleon, grimacing at the other animals. Napoleon then announces that Sunday-morning meetings are canceled, and a committee of pigs will decide on all matters regarding work on the farm. When several pigs attempt to protest, the nine ferocious dogs growl and intimidate them into remaining silent. Later that day, Squealer travels around the farm spreading false propaganda and convincing the animals that Napoleon's leadership is in their best interest. Essentially, Napoleon uses force and false propaganda to usurp power and rule the farm like a tyrant.

Are George's actions all altruistic

While the majority of George's actions could be considered altruistic, he does display some negative, selfish actions throughout the novella while dealing with Lennie. George continually expresses his frustration with Lennie and comes across as callous and insensitive at times. In the opening scene, George chastises Lennie for carrying and stroking a dead mouse. Instead of calmly telling Lennie to throw the mouse away, George calls Lennie a "crazy fool" and proceeds to question why he even associates with him. While Lennie is clearly heartbroken, George selfishly continues to ridicule his mentally disabled friend. Later on in the novella, George admits to Slim that he used to put Lennie in precarious situations in order to laugh at him, but stopped after Lennie almost drowned himself by following one of George's directives. George also leaves Lennie unsupervised several times throughout the novella, which ends in disaster after Lennie accidentally breaks Curley's wife's neck. Instead of being in proximity to Lennie at all times, George heads into town or enjoys a game of horseshoes with the other workers. Overall, George is a relatively altruistic person, but not all of his actions could be categorized as being generous and kind. 

The Credit Mobilier scandal of 1868 involved what industry?

The Credit Mobilier scandal involved the railroad industry. It specifically involved the Union Pacific Railroad Company. The Union Pacific was building railroads. This company created a construction company called the Credit Mobilier Company.  Many Congressmen received stock in this construction company.
The Credit Mobilier Company charged very high rates to build the railroads. These construction rates were very inflated. This allowed the stockholders to make a great deal of money. When word of this scandal broke, people weren’t happy that some Congressmen set up a scheme that would allow them to make huge profits. Two members of the House of Representatives were eventually censured for their role in the scandal.
While some railroad companies weren’t honest and were only concerned about making profits, James Hill, who ran the Great Northern, showed that a railroad company could make money without receiving any government help. 
https://www.history.com/topics/19th-century/credit-mobilier

Intermediate Algebra, Chapter 3, Summary Exercises, Section Summary Exercises, Problem 14

Write an equation of the line "through $(4,-2)$ and perpendicular to the line through $(3,7)$ and $(5,6)$".

(a) In slope-intercept form

Using the Slope Formula

$\displaystyle m = \frac{6-7}{5-3} = - \frac{1}{2}$

The slope is $\displaystyle - \frac{1}{2}$. We know that if the lines are perpendicular, the product of their slope is $-1$. So the slope of the perpendicular line is $2$.

Using Point Slope Form


$
\begin{equation}
\begin{aligned}

y - y_1 =& m(x - x_1)
&& \text{Point Slope Form}
\\
y - (-2) =& 2(x - 4)
&& \text{Substitute } x = 4, y = -2 \text{ and } m = 2
\\
y + 2 =& 2x - 8
&& \text{Distributive Property}
\\
y =& 2x - 8 - 2
&& \text{Subtract each side by $2$}
\\
y =& 2x - 10
&& \text{Slope Intercept Form}

\end{aligned}
\end{equation}
$



(b) In standard form


$
\begin{equation}
\begin{aligned}

y =& 2x - 10
&& \text{Slope Intercept Form}
\\
-2x + y =& -10
&& \text{Standard Form}
\\
\text{or} &
&&
\\
2x - y =& 10
&&

\end{aligned}
\end{equation}
$