In the third sentence of the third paragraph, the phrase “however volatile” primarily serves to
A. suggest that a characteristic of witty people is more common than generally supposed

B. demonstrate wit by developing a metaphor introduced earlier in the passage

C. identify one of the weaknesses typically exhibited by imaginative minds

D. qualify a generalization by narrowing the set of people to which it applies

E. strengthen a claim by indicating that it applies even to exceptional cases

Answers

Answer 1

Answer:

E. strengthen a claim by indicating that it applies even to exceptional cases

Explanation:

Answer E

Correct. In this sentence, the author makes the claim that melancholy can make one’s imagination “torpid” (sluggish), and that lack of appropriate occasions can prevent the mind from coming up with “sallies and excursions” (clever remarks). He strengthens the claim by extending it to the most exceptional cases when he indicates that it applies to any mind “however volatile,” that is, even to those that are normally the liveliest and most wide-ranging.

Answer 2

The phrase "however volatile" primarily means to strengthen a claim by indicating that it applies even to exceptional cases.

Option E is correct.

What is the meaning of the word volatile?

The meaning of the word volatile is the ability of something to change abruptly or quickly without a prior prediction. However, its context usage may differ when used in a sentence.

The author claims in this statement that sadness may make one's imagination slow and that an absence of appropriate situations can prohibit the mind from emerging with "sallies and explorations".  

He supports the assertion by expanding it to the most extreme circumstances when he says it relates to any mind i.e. "however volatile," which implies to those that are generally the most lively and diverse.

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Related Questions

60b80417-2024-439c-ad04-e06b3ab89b05

Answers

Answer:

lol

Explanation:

Answer:

?

Explanation

Is force the same as power

Answers

Answer:

depends on what you mean by force and power, they both have multiple definitions

In the fourth and fifth paragraphs, the author most likely uses a “journey of pleasure” as evidence for his argument because he assumes that the intended audience
A. is familiar with the uncertainties endured by travelers

B. believes that travel is most enjoyable when it involves little advance planning

C. is reluctant to travel solely for pleasure

D. will be swayed by a moving description of a disappointing visit to his hometown

E. have read fictional accounts of travel but have no actual experience of travel

Answers

Answer:

A. is familiar with the uncertainties endured by travelers

Explanation:

Answer A

Correct. In the first sentence of the fourth paragraph, the author states that “almost everyone” (including, presumably, the members of his intended audience) has fantasized about a “journey of pleasure” that will relieve their sense of “uneasiness.” He then goes on to use such a “journey of pleasure” as evidence for his argument regarding the nature of pleasure by contrasting a traveler’s idealized expectations for such a journey (“shade and sunshine at his disposal,” “tables of plenty and looks of gaiety”) with the uncertainties and inconveniences of actual travel (dusty roads, sluggish horses, and crowded inns, among others). He presents these uncertainties and inconveniences in rapid succession without describing them in detail or offering evidence to convince his audience that they are typical, thus suggesting that he assumes his audience is already familiar with such uncertainties and inconveniences.

NO LINKS: Consider the following code segment, which is intended to display "cat".

String[][] keyboard = {{"q", "w", "e", "r", "t"},

{"a", "s", "d", "f", "g"},

{"z", "x", "c", "v", "b"}};

System.out.println(/* missing expression */);

Which of the following can replace /* missing expression */ so that the code segment works as intended?

A) keyboard[12] + keyboard[5] + keyboard[4]

B)keyboard[13] + keyboard[6] + keyboard[5]

C)keyboard[2][2] + keyboard[1][0] + keyboard[0][4]

D)keyboard[2][2] + keyboard[0][1] + keyboard[4][0]

E)keyboard[3][3] + keyboard[2][1] + keyboard[1][5]

Answers

Answer: C) keyboard[2][2] + keyboard[1][0] + keyboard[0][4]

Explanation: Since Java starts the count at 0 rather than 1, "c" is located on row 2 and column 2, "a" is located on row 1 and column 0, and "t" is located on row 0 and column 4. Thus, the answer is C.

In the last sentence of the first paragraph, the author compares pleasure with flowers to
A. hint that pleasure would be more common if it were cultivated more diligently

B. reinforce the idea that unanticipated pleasures are the most enjoyable ones

C. downplay the dangers of engaging excessively in pleasurable activities

D. suggest that the pleasures of gardening are often overrated

E. argue that the experience of true pleasure is threatened by the increasingly hectic pace of life

Answers

Answer:

B. reinforce the idea that unanticipated pleasures are the most enjoyable ones

Explanation:

Answer B

Correct. In the first sentence of the first paragraph, the author states directly that “Pleasure is very seldom found where it is sought.” In the second sentence, he elaborates on this claim by indicating that pleasures arising from unexpected sources (and which, therefore, could not be sought) in fact create the very greatest pleasure (“Our brightest blazes of gladness”). This idea is then reinforced in the last sentence of the paragraph, in which such pleasure is likened to enjoying flowers that one could not have anticipated because they have grown “from seeds scattered by chance” rather than from seeds that had been cultivated (planted and tended) for the purpose of bringing enjoyment.

Answer: b. reinforce the idea that unanticipated pleasures are the most enjoyable ones

Explanation: goodluck loves!

Illinois has a 3% state income tax on all earned income. Georgia has a tax rate starting at 1% to 6% on all earned income1. What type of tax does illinois have?

a. Exciseb)progressivec)proportionald)regressive

Answers

Based on the information provided, Illinois has a proportional tax

What is a Proportional Tax?

Illinois applies a proportional tax system, as per the information available. A flat tax, also referred to as a proportional tax, is a taxation framework that imposes a consistent tax rate across all income levels.

Illinois levies a state income tax of 3% on all income earned, ensuring that all individuals contribute equally with respect to the proportionate taxation of their earnings.

Contrary to a progressive tax approach, which raises tax rates along with income, or a regressive tax strategy, which lowers tax rates as income increases, this situation is distinct.


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John has commanded his troops to defeat the attacking country’s army. He has also declared a national emergency. John is the ______ of the country.

Answers

President.

Presidents have control of the military and control to declare a national emergency

hope this helps :)

Provide reasoning to justify your prediction with respect to how the predicted amount of pheromone is beneficial to the worms that are only weakly attracted to the chemical.

Answers

Answer:

The worms that are only weakly attracted to the chemical benefit because they will have longer lifespans

Explanation:

Because most of the worms will be attracted to the chemical few will not follow, these will go to another food source and have long lived lifespans because their larvae will be temporarily arrested and the mature ones can get older until the larvae grow up and become competition

Explain why children should not be forced to choose sides in a divorce situation.

Answers

Explanation:

because for one they are a child no child should have to choose sides its not the kids fault that the parents cant work out there issues so there for no matter who they decides they are going to stay with the parents shouldn't make there kids pick between them thats just drama is just to much even tho parents offten make there kids pick anyways it can causethem to fall or go into mild depresson.

most children have no idea how important the situation of divorce truly is, which they could be stuck with the decision they made for years.

most of the time in divorce, 1 partner is abusive in some sort, and theres a very high chance they would choose them.

Do you agree with Robert Moses’ ideas of wiping out cities that are an "impediment to new growth"? (see Scarcity and Eminent Domain) Why or why not?

This is for AP Microeconomics

Answers

It is important to note that Robert Moses' ideas and approaches, including the use of eminent domain, have been subject to debate and criticism due to their impact on communities and urban development.

Who is Robert Moses?

Robert Moses (1888  -1981) was a prominent urban planner and public official known for his influential role in shaping theinfrastructure and development of New York City.

He held multiple positions, including Parks Commissioner and head of various public authorities, and   implemented large-scale projects such as highways, parks, and public housing,often using controversial tactics and eminent domain.

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Show work on how to solve a question that says suppose we collect data hoping to be able to estimate the prices of commonly owned new car and dollars from their links and feet of these possibilities the slope and the line is best fit is most likely to be want

Answers

Answer:

D: 300

Explanation:

As per the question, the possibility line that would most likely fit would be 3000 USD if the data is collected for evaluating the price of the cars which are usually owned by people. The first two options i.e. '3' and '300' are below par for the price of a car while '$ 30,000' would be categorized under the super-luxury cars owned by the rich or elite people. Thus, the data line or price slab which most aptly fits the common people to own a car among the given options would be $3000.

Answer:

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Explanation:

In 2018 researchers found that many of the red spruce forests had started to recover from the damage caused by acid deposition. Based on this research, a group of scientists hypothesized that coal-fired power plants were a likely source of the pollutants that lead to acid deposition in the red spruce forests.

Answers

Answer:

Coal-fired power plants are indeed one of the sources of pollutants that cause acid deposition in red fir forests. In addition, there are several other sources of pollutants such as metal smelting and petroleum burning.

Explanation:

I hope this helps

what is a reasonable estimate for 52% of 160

HELP

Answers

The answe would be 83.2

Answer:

The exact answer is 83.2 so I guess a reasonable estimate would be any number in between 80-83

Explanation:

Extremes in force will change how much fuel a tractor uses.

Answers

Answer:ideal tractor converts all the energy from the fuel into useful work at the drawbar. ... Static loaded radius is more appropriate to use for force or moment ... 20), a change in input torque (T) results in a change in vertical force ... Figure 25 shows the results of a traction test conducted over an extreme (for agricultural tractors)

Explanation:

Most applications will ask you to provide all of the following information
except
O A. the date you can start work.
O B. the dates and hours you are available to work.
O C. your desired salary or wage.
O D. which of your previous jobs you didn't like.

Answers

Most software applications will ask you to provide all of the aforementioned information except: D. which of your previous jobs you didn't like.

What is a software?

A software can be defined as a set of executable instructions that is typically designed and developed to instruct a computer system on how to perform a specific task and function, as well as proffering solutions to a particular problem.

The types of software.

Generally, there are three main types of software and these include the following:

Utility softwareSystem softwareApplication software

In this context, we can reasonably infer and logically deduce that an employment- or recruitment-related software application would request all of the aforementioned information from a potential employee or job seeker.

In conclusion, an employment- or recruitment-related software application would not ask which previous jobs he or she didn't like.

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pls help. due at the end of today YvY

I promise its NOT a test (thank God)

Though the Industrial Revolution would later influence all nations, the technology explosion began in England. All of the ingredients needed for change were there: a strong economy fortified by riches brought back from the New World; an interest in science; a stable government; lots of coal to power new factories; and a huge population that could work in the new factories and buys what the factories made.
England’s population growth could be traced to the invention of the seed drill. Invented by Jethro Tull in 1700, the seed drill made planting crops easier and, along with new forms of breeding and crop rotation, set off the agricultural revolution. Farming was easier than ever before, so people had more food to eat. Improved nutrition made people healthier, and they started living longer. This resulted in a huge population boom across Europe. In the 1800s, the population of Europe doubled, growing from 100 million to 200 million people.
_______Why did the seed drill spark population growth in England?
A) The seed drill could be used to cure diseases that had been keeping the population from growing for decades.
B) The seed drill could be used to plant crops easier. This allowed people to eat more and live longer.
C) The seed drill could be used to drill into plants and release their seeds sooner. This allowed farmers to make more money and afford better medicine.
D) The seed drill could be used to plant crops in a safer way. This allowed people to stop hurting themselves and dying from infections on the farm.

Answers

Answer:

B. Hope this helps you . HAVE A GOOD NIGHT OR DAY

The picture below shows igneous rocks on the Earth's surface. The igneous rocks were formed when

wind and water caused erosion
magma cooled and crystallized
temperature and pressure increased
chemical reactions caused weathering

Answers

Answer:

magma cooled and crystalized

Whats on the ap psychology module 9 dba for flvs?

Answers

Cognitive psychologist are primarily interested in thinking. That want to know how reasoning, problem solving, memory, and other mental processes relate to computer game playing.

 Why are they important ?

Cognitive psychologists are important   because they study mental processes such as perception, attention,memory, and problem-solving.

Their research   helps us understand how humans think,learn, and make decisions.

This knowledge has  practical applications in areas like education, therapy, human-computer interaction,and improving cognitive functioning in various contexts.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Who is a Cognitive psychologist?

HELP ASAP WILL GIVE BRAINLIEST

how much money does the united states lose each year due to the non-local resource trade deficit?

A.) 10 million
B.) 500 million
C.) 1 billion
D.) 300 billion
E.) 1 trillion

Answers

Answer: D

Explanation: A trade deficit occurs when a nation imports more than it exports. For instance, in 2018 the United States exported $2.500 trillion in goods and services while it imported $3.121 trillion, leaving a trade deficit of $621 billion. Services, such as tourism, intellectual property, and finance, make up roughly one-third of exports, while major goods exported include aircraft, medical equipment, refined petroleum, and agricultural commodities.

The United States of America looses this amount of money annually due to the non-local resource trade deficit: D. 300 billion.

What is trade deficit?

Trade deficit canbe defined as the amount of money by which the cost of a imports in a particular country exceeds the value of its exports. This ultimately implies that, a trade deficit occurs when the imports in a country is greater than exports within a given time period.

In the United States of America, 300 billion dollars are lost on a yearly basis or annually due to the non-local resource trade deficit.

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Any tips on how to become a better person?

Answers

what’s the main issue?

Answer:

Here are some TIPS:

- Help others who need help (or ask them if they need it)

- Be kind, considerate, and responsible. Do not insult others even if they insult you.

- Donate to charity, this helps a lot of people.

- Do volunteer work

There are a lot more, but the above are the basics

Explain why the surface of the moon looks so much different than the surface of the planet.

Answers

Answer:

The major factor which does change the Moon's surface is the impact of meteoroids, forming craters. Even this process is very slow today; most of the Moon's craters, and all of the large ones, are hundreds of millions to billions of years old. The surface of the Moon is very old, compared to the Earth.

Answer:

Explanation:

The surface of the Moon looks significantly different from the surface of the Earth due to various factors. The Moon lacks an atmosphere, water, and tectonic activity, which are significant geological forces on Earth.


As a result, the Moon's surface is characterized by impact craters, basaltic plains known as maria, and rugged, rocky terrains. On the other hand, Earth's surface features diverse landscapes shaped by weathering, erosion, volcanic activity, plate tectonics, and the presence of an atmosphere and water bodies.


hope it helps!

After high school graduation, Andrea began work as a cashier at a grocery store.
When the company downsized and she was laid off, she had such trouble finding
other work and eventually she lost her apartment. Out of desperation, she ended uppanhandling on the streets. Andrea's situation is one of _____ mobility.

Answers

Answer:

Downward social

Explanation:

It’s caused by external situations like losing a job/unemployment

If somebody comments a link on your question do not open it because they are giving false information ​

Answers

Answer:

hi dear friend,

Explanation:

thank you for your advice

have a nice day

In the context of this section of the Republican Party platform explain how the proposal to increase transparency and accountability described in part A would affect the Federal Reserve's ability to make economic policy

Answers

The correct answer to this open question is the following.

Unfortunately, you did not include the context of the Republican Party platform. You also forgot to include the description of part "A." We do not know its content, just you.

However, trying to be of some help, we can comment based on our knowledge of this topic.

The Republican Party has considered that the Federal Reserve needs to be really transparent so US citizens can trust the role it plays in the United Statesecoconomy. They say that the greater transparency in the Federal Reserve will help workers and create more equitable prosperity for average US citizens.

The proposal to increase transparency and accountability would affect the Federal Reserve's ability to make economic policy in that this transparency would have to open the ways and processes the Fed uses to control the economy of the United States.

The Republican Party thinks that the Fed operates in so much secrecy although its decisions directly affect the creation of jobs, the mobility of workers, and equitable prosperity. Members of the Republican Party also think that the Fed's role as a lender should be more transparent.

The Federal Reserve Act of 1913 in the times of President Woodrow Wilson established the Federal Reserve system to avoid consumer panics.

The Federal Reserve plays a key role in helping control inflation because it keeps the money supply stable in order to maintain low inflation.

The Fed is the central bank in the United States. Its role in the US economy is very important to maintain a healthy financial and monetary system. However, in recent years, that lack of transparency has created many questions in different sectors of US politics.

logical algorithm essay about the short story eveline

Answers

Answer:

Eveline Hill sits at a window in her home and looks out onto the street while fondly recalling her childhood, when she played with other children in a field now developed with new homes. Her thoughts turn to her sometimes abusive father with whom she lives, and to the prospect of freeing herself from her hard life juggling jobs as a shop worker and a nanny to support herself and her father. Eveline faces a difficult dilemma: remain at home like a dutiful daughter, or leave Dublin with her lover, Frank, who is a sailor. He wants her to marry him and live with him in Buenos Aires, and she has already agreed to leave with him in secret. As Eveline recalls, Frank's courtship of her was pleasant until her father began to voice his disapproval and bicker with Frank. After that, the two lovers met clandestinely. As Eveline reviews her decision to embark on a new life, she holds in her lap two letters, one to her father and one to her brother Harry. She begins to favor the sunnier memories of her old family life, when her mother was alive and her brother was living at home, and notes that she did promise her mother to dedicate herself to maintaining the home. She reasons that her life at home, cleaning and cooking, is hard but perhaps not the worst option her father is not always mean, after all. The sound of a street organ then reminds her of her mother's death, and her thoughts change course.

Explanation:

Signs that a cargo shipment has been tampered with include

Answers

Broken or damaged sealsMissing or altered packagingPhysical damage or signs of forced entryIrregularities in weight or quantityUnusual odor or appearance

Signs that a cargo shipment has been tampered with include broken seals, physical damage, altered packaging, missing or replaced items, irregularities in documentation, unusual weight, re-routing/diversion, and evidence of tampering tools.

Signs that a cargo shipment has been tampered with can vary depending on the specific circumstances and methods used by the perpetrator.

Some common signs to watch out for include:

Broken or tampered seals: Check for any evidence of broken or compromised seals on containers, packages, or doors that indicate unauthorized access.

Physical damage: Look for signs of forced entry, such as broken locks, cut cables, or damaged packaging.

Altered packaging: Pay attention to any signs of resealing, repackaging, or tampering with labels, tape, or wrapping materials.

Missing or replaced items: If the contents of the shipment do not match the manifest or expected inventory, it could be an indication of tampering or theft.

Irregularities in documentation: Discrepancies in shipping documents, such as altered or forged invoices, bills of lading, or customs paperwork, may suggest tampering or fraudulent activities.

Unusual weight: Unexpected weight differences in a shipment could indicate that items have been removed or added without authorization.

Hence, if you suspect that a cargo shipment has been tampered with, it is crucial to report it to the appropriate authorities, such as the shipping company, logistics provider, or law enforcement, to initiate an investigation and ensure proper handling of the situation.

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Hazel schedules the work of several different departments in a factory and makes sure they stay on schedule. Her job
title is best described as
Renita hand packages delicate items for shipping. Her job title is best described as
Prince buys materials for a plant that manufactures cars. His job title is best described as
Mason operates equipment to package products for shipping. His job title is best described as
5) Intro
Done

Answers

Answer:

Production and planning clerk

Packer or package, hand

Purchasing agent

Packaging machine operator

Explanation:

Answer:

A, C, A, C

Explanation:

on edge 2021

Consider the following code segment, where twoD is a two-dimensional (2D) String array. The code segment is intended to display "JAVA".

System.out.print(twoD[2][1]);

System.out.print(twoD[3][2]);

System.out.print(twoD[1][1]);

Which of the following code segments properly declares and initializes twoD so that the code segment works as intended?

A) String[][] twoD = {{"V", "AV", "J"}, {"JA", "VA", "A"},

{"JA", "J", "JAV"}, {"AV", "V", "A"}};

B) String[][] twoD = {{"VA", "J", "A", "V"}, {"J", "A", "V", "A"},

{"AV", "A", "JA", "V"}};

C) String[][] twoD = {{"VA", "J", "V", "JA"}, {"J", "JA", "A", "VA"},

{"J", "VA", "A", "V"}};

D) String[][] twoD = {{"A", "VA", "J", "V"}, {"VA", "A", "JA", "V"},

{"VA", "J", "A", "V"}};

E) String[][] twoD = {{"A", "V"}, {"VA", "J"}, {"J", "A"}, {"A", "AV"}};

Answers

Answer:

A) String[][] twoD = {{"V", "AV", "J"}, {"JA", "VA", "A"},  {"JA", "J", "JAV"}, {"AV", "V", "A"}};

Explanation:

The code segment that would make this snippet of code work as intended would be A)

String[][] twoD = {{"V", "AV", "J"}, {"JA", "VA", "A"},  {"JA", "J", "JAV"}, {"AV", "V", "A"}};

This initializiation of array twoD would spell out JAVA with the code in the question because each of the following calls the following strings

twoD[2][1] = "J"

twoD[3][2] = "A"

twoD[1][1] = "VA"

The other options either don't have an index of 3 available or output the wrong letter sequences.

WILL MARK BRAINLIEST DO NOT REPLY W LINK!!!!! Hydrofluorocarbons are used as a substitute for chlorofluorocarbons to meet the provisions of the Montreal Protocol. Which of the following best describes the results of replacing chlorofluorocarbons with hydrofluorocarbons?

INCREASE in smog

DECREASE in global warming

DECREASE in ozone loss

INCREASE in acid deposition

Answers

Answer:

Decrease in Ozone Loss

Explanation:

The whole thing about chlorofluorocarbons is that they contribute to ozone depletion. Therefore it would decrease the loss of it.

Sorry for the late answer. I want to make sure if someone else needs this answer they have the correct answer for them.

The direct results of replacing chlorofluorocarbons with hydrofluorocarbons is best described by a: C. decrease in ozone loss.

What is ozone?

Ozone is also known as trioxygen and it can be defined as a toxic, colorless, and unstable inorganic gas with a very pungent smell. Also, it is typically formed as a result of the action of ultraviolet lights (UVs) on oxygen.

Based on astronomical and scientific information, a decrease in ozone loss is most likely to be influenced due to the replacement of chlorofluorocarbons with hydrofluorocarbons.

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Why is it important to organize your photos on your computer? A. to keep the file sizes small B. to adjust the exposure C. so that you can easily find them D. so that you have more than one copy in case something bad happens to your computer

Answers

Answer:

C. so that you can easily find them

Explanation:

Other Questions
PLEASE HELP FAST WILL GIVE BRAINLIEST Verify a - (- b) = a + b for the following values of a and b.() a = 23, b = 14(ii) a = 128, b = 105 stalin's 5 year plan was to Q'est-ce qu'il y a dans cette chambre?Circle all correct answers. The four members of the Taylor family each buy an airplane ticket each member I had to pay an extra $30 fee for checking in luggage if the total cost of the trip is 540.50 what is the price of each plane ticket Don't guess!I will mark brainliest if its correct!Don't answer if you don't know!Also no links!And show your work plz! A company buys an oil rig for $1,000,000 on January 1, 2020. The life of the rig is 10 years and the expected cost to dismantle the rig at the end of 10 years is $200,000 (present value at 10% is $77,110). The appropriate interest rate for the company is 10%. What expenses should be recorded for 2020 as a result of these events? A. Depreciation expense of $120,000 B. Depreciation expense of $100,000 and interest expense of $20,000 C. Depreciation expense of $107,711 and interest expense of $7,711 D. Depreciation expense of $120,000 and interest expense of $7,711 Which of the following statements IS true regarding nucleophilic acyl substitution? Aldehydes and ketones go through acyl elimination, not substitution. The alcohol is reformed in the second step. The mechanism proceeds through a carbocation intermediate. The leaving group ability of the heteroatom group determines the reactivity towards nucleophilic acyl substitution. Paola and Isidora are married; file a joint tax return; report modified AGI of $148,000; and have one dependent child, Dante. The couple paid $12,000 of tuition and $10,000 for room and board for Dante (a freshman). Dante is a full-time student and claimed as a dependent by Paola and Isidora. Determine the amount of the American Opportunity credit for 2020. To build a door frame, Anthony needs 2 pieces of lumber that each measure 98 inchesand one piece of lumber that measures 39 inches. What is the total length of lumberthat Anthony needs to build the frame? Solve this inequality. 8x + 6 < 54 John Adams thought we would celebrate independence on this date. aJuly 1, 1776 bJuly 2, 1776 cJuly 3, 1776 dJuly 4, 1776 What was a major social change as a result of the Second Industrial Revolution in the United States?Less people immigrated to the United StatesCities and urban centers formed around factories as people migrated there for jobsChildren had to win the right to work in factoriesThe food supply decreased due to less farm workers Luis rolled a number cube 60 times. He rolled the number 6 four times. Which is most likely the cause of the discrepancy between Luiss experimental outcome and the predicted outcome? Multiply and combine like terms. Use^ for exponents. (3x+1)(2x^2 -9x+5) Your eyes form upside-down images, which are then flipped right-side-up by our brains. True False What criteria are required in order to establish a personal credit rating? (Select all that apply.)must be 18 years oldhas a credit card in their name for six months or moremaintains a low risk profilehas good payment habits Why did oil prices quadruple in 1973? Find the length of side x in simplest radical form with a rational denominator. Show that if a square matrix A satisfies he equation A2 +2A + I = 0, then A must be invertible. what is the inverse?