Explain the extent that Enlightenment ideas had on the lead up to the Declaration of Independence and American Revolution.

Answers

Answer 1
Enlightenment and Revolution
Summary: Enlightenment ideals of rationalism and intellectual and religious freedom pervaded the American colonial religious landscape, and these values were instrumental in the American Revolution and the creation of a nation without an established religion.
The Enlightenment was a 17th and 18th century international movement in ideas and sensibilities, emphasizing the exercise of critical reason as opposed to religious dogmatism or unthinking faith. It developed along with the rise of scientific thinking independent of religious thought and stressed the importance of nature and the natural order as a source of knowledge. In reaction to the religious wars of Europe, Enlightenment thinkers defended religious tolerance and religious freedom. Their emphasis on intellectual freedom and human rights led to a conflict between the advocates of these new ideas and the political and religious establishments in Europe, most dramatically in France.
The Enlightenment in America, more moderate than in Europe, influenced both religious and political thought throughout the colonies. Many would argue that its approach to religious tolerance rose to prominence in America in large part because no single religious group could garner the necessary votes to impose themselves upon the fledgling republic. Leaders such as Thomas Jefferson and Benjamin Franklin were considered paragons of Enlightenment thought, and the freedom-loving religious rationalism of their ideas helped to lay the foundations of the Declaration of Independence and the Constitution of the United States.
The Enlightenment also bred religious controversy. Plenty of its advocates, many of whom were themselves Christian, often dismissed the new revivalist religion of the Great Awakening as emotionally excessive. Evangelical Protestants, on the other hand, often viewed rationalism, religious tolerance, and other enlightenment ideals as dangerous to piety and national solidarity in the budding republic. Historians have usually cast this controversy in terms of a conflict between those who favored rational religion and those who opposed itby defending an emotional religion of the heart. But the Enlightenment was so pervasive in the colonies that few Americans remained wholly untouched by its spirit.

Both the emotionalism of revivalist religion and the reasoned ideals associated with the Enlightenment played important roles in the American Revolution. Revolutionaries were drawn from all religious camps and most of them shared a common commitment to freedom of religion. Most—though certainly not all—revolutionaries, however, fought not for religious freedom for all, but rather for their particular sects or denominations. Nonetheless, the impact of the Revolution and the subsequent adoption of the Constitution on American Christianity cannot be overstated. This period laid the foundation for a bold experiment in religious freedom unlike any understandings of state-religion relations at the time.
The Constitution banned the “establishment” of religion by the state, thus forcing both Anglicans and Congregationalists to abandon their traditional prerogatives of state support, a bold departure from tradition. All churches and other religious organizations that had arisen during the colonial period necessarily reconstituted themselves under the new constitutional guidelines. This, however, until as late as the 1830s, was understood to apply to the federal government alone; states were allowed to decide for themselves whether or not to have state-supported churches. In any case, this outlook, which considered all churches equal before federal law, more or less asserted that churches are voluntary organizations with no formal coercive authority over those who did not wish to belong to them.
The Revolution and the Constitution became part of the myth of America, the powerful foundational story told about America’s origins. This story begins with the vision of creating a new Christian society on American soil and moves to the idea of a society based on commitment to religious freedom. Still, the transcendent and purposeful vision of America’s destiny remained. This vision fostered the development of what has come to be called America’s “civil religion”: a belief in America’s special mission as a society based on equality before the law, freedom of conscience, religious tolerance, and the spirit of voluntary service.

Related Questions

What happened to create the situation between the new york weekly journal and william cosby?

Answers

After Governor Cosby removed Chief Justice Morris from the Supreme Court, the Popular Party was determined to expose Governor's true character to the people of New York. They did so by founding a newspaper and chose Zenger as their printer. The 'New York Weekly Journal' first appeared on November 5, 1733.

German-born printer John Peter Zenger emigrated to America in 1710 and became an apprentice in the printing office of William Bradford the elder. On 5 November, 1733, Zenger began publishing the "New York Weekly Journal" which became the organ of the party that was opposed to the provincial governor.

To know more about William Cosby here

https://brainly.com/question/1086419

#SPJ4

a great rift developed between china and the soviet union after nikita khrushchev assumed power. which policy of khrushchev's did mao strongly object to?.

Answers

a great rift developed between china and the soviet union after nikita khrushchev assumed power.  Mao strongly object to peaceful coexistence with capitalist nations.

What impact did Nikita Khrushchev have?

With his important partner Anastas Mikoyan, Khrushchev launched a de-Stalinization strategy throughout his tenure, shocking the communist world with his condemnation of Stalin's misdeeds. The early Soviet space program was championed by him, and comparatively liberal domestic policy reforms were also put into effect.

What did Khrushchev promise?

Nikita Khrushchev, the premier of the Soviet Union, promised to defend Cuba in 1960, and he believed that the United States wouldn't try to stop the deployment of medium- and intermediate-range ballistic missiles in the communist Caribbean nation.

To know more about  nikita khrushchev  visit:

https://brainly.com/question/11513050

#SPJ4


The Cold War broke out almost immediately after World
War II ended with the defeat of the Axis powers. The Soviet
Union and the United States emerged from the war as the
world's two most powerful countries. But they had very
different ideologies. The United States was a democracy
with a capitalist economic system. The Soviet Union was a
communist dictatorship with an economy entirely
controlled by the government. The rivalry between these
two countries led to conflicts around the world, a buildup
of nuclear missiles, and even the development of the
space program.
According to the passage, what were the primary causes of the Cold War?
OA. The defeat of the Axis powers and the United States' belief in
democratic government
OB. The buildup of nuclear weapons around the world and the creation
of the space program
OC. The United States-Soviet alliance during World War II and the
Soviet Union's communist system
OD. The great power of the United States and the Soviet Union and
their different ideologies

Answers

Answer: The great power of the United States and the Soviet Union and

their different ideologies

Explanation:

Concerning the rules of marriage in different cultures, which statement is true?
OA. Marriage cannot take place between cousins.
SOB.
One man cannot marry multiple women at a time.
OC.
One woman cannot marry multiple men at a time.
Multiple men can marry multiple women at a time.
O D.

Answers

Answer:

OC. One woman cannot marry multiple men at a time

Explanation:

This is what i think i hope i helped

How can new problems be solved using old ideas

Answers

Answer:

Releasing the mind from old patterns of thought and other inhibiting influences. Bringing the elements of a problem into new combinations. Not rejecting any ideas during the creative, problem solving period.

Explanation:

Why did representative government develop in the colonies? (Hint: salutary neglect)

Answers

Answer:Reasons for Representative Government in the Colonies. 1. The distance from England created a need for colonists to make their own laws to keep peace and order

Explanation:

what caused the conflict between Philip IV of france and pope bonifce VIII

Answers

He compared the taxes to an attempt to enslave the church. He also threatened that any king, emperor, feudal lord, or anyone else who tried to tax the church would be subject to ex-communication. This is what caused the conflict between King Philip IV of France and Pope Boniface VIII.

comparing and contrasting which two philosophies in the chart would you say had the most similar ideas? explain

Answers

Compare and contrast in the table which two philosophies you think have the most similar ideas. Compare and contrast their political ideas with Thomas Hobbes. Montesquieu proposed dividing power into judicial, executive, and legislative powers.

Contrast often means "opposite". For example, black is the opposite of white, so there is a contrast between black ink and white paper. In literature, authors use contrast to describe the difference between two or more objects.

According to the Oxford Dictionary, contrast is comparing two things to show the difference. It is found in many literary works. The comparison involves identifying similarities and/or differences (e.g., apples and oranges are fruits), whereas contrasting involves comparing two or more objects or events to show differences (e.g., apples are what we They have edible thin skins, and oranges have thick skin (which we can't eat). For example, if you want to focus on the contrast between two subjects, you would not choose apples and oranges. Rather, you can compare and contrast two types of oranges or two types of apples to highlight nuances. For example, Red Delicious apples are sweet, while Granny Smith varieties are sour.

Learn more about contrast here:

https://brainly.com/question/24507709

#SPJ9

Which of the following accurately describes a belief of Social Darwinist?
A.
Darwinian laws of nature apply to society.
B.
Darwinian laws of nature apply only to animals
C.
Darwinian laws of nature dictate that people should treat others the way that they want to be treated.
D.
Darwinian laws of nature apply only to society

Answers

Darwinian laws of nature dictate that people should treat others the way that they want to be treated describes a belief of Social Darwinists.

The concept of "survival of the fittest," according to social Darwinists, holds that some people rise to prominence in society as a result of their inherent superiority. Throughout the past 150 years, social Darwinism has been invoked to defend many social injustices such as racism, eugenics, imperialism, and socioeconomic inequality.

Social Darwinism is a phrase that has been used to describe views that precede Darwin's publication of On the Origin of Species. It has also been used to describe the belief that Darwin's theory of evolution by natural selection may be used to comprehend the social endurance of a nation or country.

Learn more about Darwinists here:

https://brainly.com/question/9510913

#SPJ9

Provide 3 ways slaves lives were limited with the passage of the Slave Codes

A: Prohibited slaves from gathering without white supervision.

B: Prohibited slaves from reading and writing.

C: Prohibited slaves from being sold to other plantations.

D: Prohibited slaves from dressing above the condition of slaves.

pls help

Answers

3 ways slaves' lives were limited with the passage of the Slave Codes were:

A: Prohibited slaves from gathering without white supervision.

B: Prohibited slaves from reading and writing.

D: Prohibited slaves from dressing above the condition of slaves.

In American history, a slave code is any system of laws founded on the idea that slaves were property rather than people. slave codes were ingrained in the system of slavery; nevertheless, enslavers strengthened these with slave codes to safeguard both the property and the property owner from the threat of slave violence. For example, slaves were not allowed to leave their owner's property without permission, slaves were not allowed to gather without a white person present, slaves were not allowed to own firearms, slaves were not allowed to be taught to read or write, slaves were not allowed to possess or transmit "offensive" literature, and slaves were not allowed to get married.

Learn more about Slave Codes here:

https://brainly.com/question/17945915

#SPJ9

Why were few court cases won against monopolies and trusts during the gilded age? there was not enough legislation in place to support court cases. monopolies and trusts received wide support from the public. most monopolies had been broken up by the gilded age. the federal courts usually ruled in favor of big businesses.

Answers

The answer is D: The federal courts usually ruled in favor of big businesses

Answer D: The federal courts usually ruled in favor of big businesses

Explanation: i got it correct in the test

early European Colonization and settlement of the Americans.

Answers

Early European Colonization and settlement of the Americans.

The Spanish were the first to invade the continent of North America and its inhabitants in 1565 Colonization in St. Augustine, Florida, followed by the British in 1587 when the Plymouth Company founded a settlement they named Roanoke in what is now North Carolina. The process through which European settlers colonized North, Central, and South America as well as the Caribbean islands is known as European colonization of the Americas. It is also acknowledged as the root cause of the displacement and frequent eradication of the numerous indigenous cultures of those places. The aboriginal inhabitants suffered greatly as a result of European colonization of North America. Their way of life underwent a quick but permanent transformation. Several causes contributed to the modifications, including including land loss, disease, the enforcement of laws that were against their culture, and many other things.

Learn more about Colonization hear :

https://brainly.com/question/4719775

#SPJ9

Why is it important to use both primary and secondary sources when constructing historical arguments?

Answers

Answer:

It’s important to use both because they complement each other to help you build a convincing argument.

Answer:

Why is it important to use both primary and secondary sources when constructing historical arguments?

Both sources provide evidence that the argument is valid.

What is one of the most essential aspects to consider when constructing historical arguments?

All sources used to support the argument must be reliable.

How would using newspaper articles from a specific time period help to support your argument?

They show how people felt about issues and events at the time they occurred.

Explanation: edmentum sample answer

Why were old kingdom egyptians able to build such large tomb complexes for themselves?.

Answers

Economy was good and there was social and political stability.

what explorer named and claimed canda for France​

Answers

I’m not sure if this is correct but it might be “Jacques Cartier”

The answer is Jacques Cartier

What was the first continental congress and what did they do?

Answers

The First Continental Congress convened in Carpenters' Hall in Philadelphia, Pennsylvania, between September 5 and October 26, 1774. Delegates from twelve of Britain's thirteen American colonies met to discuss America's future under growing British aggression.

Answer:

The Continental Congress served as the government of the 13 American colonies, and later the United States, from 1774 to 1789. In 1776, it took the momentous step of declaring America’s independence from Britain.

Explanation:

Which culture is better is Chinese , Japanese , or Korean ? and In what ways are they alike?

Answers

Choose your opinion on the first question. Then state “Japanese, Chinese, and Korean share the same art style, such as line art. Also, some Korean and Japanese words come from Chinese words. They all share a similar writing style, as well.

These questions are about Robert Hooke

1. The first and last name of your scientist.

2. A mug shot (picture of your scientist)

3. Years living (examples: 1901-1959)

4. The country he/she was born in.

5. Where he/she did his/her work.

6. A description, in your own words, of what your scientist is most famous for (3-4 sentences).

7. Pictures, graphics, or illustrations of what your scientist is famous for.

8. A paragraph, in your own words, explaining how his/her accomplishment has benefited the world. (3-4 sentences)

9. Two interesting facts about your scientist.

10. A quote by your scientist.

Also please don't use plagiarism and answer these correctly, don't answer this question with an I don't know so that u can get the points

Answers

Robert Hokeee was an English scientist who lived during the 17th century and was noted for various scientific contributions, but especially for his opposition to the famous Isaac Newton.

What is the scientist's first and last name?

His first and last name are Robert Hooke.

In what year was he born and died, how many years did he live?

He was born in 1635 and died 1703 (68 years old)

Where was he born?

He was born in England

Where did he develop his work?

His work primarily took place in London, England.

Why is this scientist considered popular?

Robert Hooke was an English scientist who is considered one of the most important experimental scientists in the history of science who developed experiments in different areas of science such as:

BiologyMedicinePlanetary physicsMechanics of deformable solidsMicroscopyArchitecture.

Additionally, he was one of the leading members of the first scientific society in history, the Royal Society of London, and one of Newton's best-known opponents.

How did his achievements benefit the world?

Some of Hooke's achievements are:

He formulated what is now called Hooke's law of elasticity, which describes how an elastic body stretches proportionally to the force exerted on it.He contributed to the reconstruction of London after the great fire of 1666. In this task he was supported by Christopher Wren.

Robert Hooke Quotes"With the help of microscopes, there is nothing so small as to escape our investigation; Hence there is a new visible world discovered for the understanding""The truth is that the Science of Nature has been doing only a work of Brain and Fantasy for too long: it is high time that it returns to the clarity and solidity of Observations on material and obvious things".

interesting facts about robert hookeNo authenticated portraits of Hooke exist and it is said that the portrait of him in the Royal Society was destroyed on purpose.As a child he was interested in drawing and made his own materials with chalk, iron ore and charcoal.

Learn more about Robert Hooke in: https://brainly.com/question/1562414

#SPJ1

Pick the evidence that best supports the Following Claim.

The proclamation line of 1763 caused many colonists to become angry at the British.

Answers

The Proclamation line of 1763 was a result of the British winning the French and Indian War.

What is proclamation line?

At the conclusion of the French and Indian War, the British issued the Proclamation of 1763 in an effort to pacify the Native Americans by preventing European settlers from settling on their territory.

The British colonies on the Atlantic coast and the American Indian territory west of the Appalachian Mountains were divided by the proclamation line, which was established as a result. It has grown to be a tenet of Native American law in both the United States and Canada over the years following the declaration.

To know more about proclamation line visit:

https://brainly.com/question/510294

#SPJ9

Answer:

...

Explanation:

3 short reasons, Why were colonies started? ​

Answers

Answer:Colonies were started for different reasons one being the desire to create havens from persecution and model societies.Also because they had differing systems of governance. And lastly because they wanted to grow cash crops

Explanation:

Why may John D. Rockefeller considered a robber baron?

Answers

John D. Rockefeller was considered a robber baron due to their monopolistic pattern of business.

What is a robber baron?

A robber baron is someone who used unethical tactics to eliminate rivals and create a monopoly in his business. The term has a negative meaning.

John D. Rockefeller was blamed for being a monopolist who made money by purposefully limiting the production of commodities and then raising prices which is considered unethical behavior.

Only after the monopolist has priced out or prohibited legally any industry rival companies into the market this type of event takes place.


Learn more about Robber baron, here:

https://brainly.com/question/2661599

#SPJ1

What was the result at the u. S. Supreme court level in the case opener involving the constitutionality of the individual mandate of the affordable care act requiring that most americans obtain minimum essential health insurance contained within the affordable care act?.

Answers

While the U.S. Supreme Court rejected the claim under the Affordable Care Act (ACA) that the individual mandate was within Congress's commerce power, the mandate was found to be constitutional as a tax.

The individual mandate under the Affordable Care Act (ACA) required most Americans to either maintain a minimum level of healthcare coverage or pay a financial penalty.

In 2012, the Supreme Court upheld a challenge to the individual mandate's constitutionality on the grounds that it was an appropriate use of Congress's taxing authority.

To learn more  Affordable Care Act (ACA), visit the following link:

https://brainly.com/question/14010081

#SPJ4

Why did lord Baltimore find Maryland ?

Answers

As a devout Catholic, the first Lord Baltimore wanted the Maryland Colony to be a location where English people may practise their religion freely.

More about Lord Baltimore:

Roman Catholics in England faced persecution by the Church of England for their views, much like the Pilgrims and Puritans did. Lord Baltimore, a Catholic himself, became determined to found a colony in the Americas where Catholics may practise their religion freely.

In honour of Henrietta Maria, the queen consort of Charles I, Cecil Calvert gave it the name Maryland. Roman Catholics who were being persecuted in England swiftly came to be known as refugees in Maryland.

Leonard Calvert, the first governor, was the brother of Cecil Calvert, whose colony eventually became the State of Maryland.

Learn more about Lord Baltimore here:

https://brainly.com/question/2976976

#SPJ9

This engraving shows people removing artwork,
sculpture, and other decorations from a church.
This practice is called|
The church shown was most likely built by
The artwork is being removed because the people
thought it was

Answers

This practice is called iconoclasm. The church shown was most likely built by the Catholic church. The artwork is being removed because the people thought it was a sin to display it in a church.

Iconoclasm literally means “picture breaking” and refers to a recurring historic impulse to break or smash images for religious or political reasons. For example, in ancient Egypt, the carved visages of some pharaohs have been obliterated by means of their successors; in the course of the French Revolution, images of kings were defaced. Christianity has skilled periods of iconoclasm – the religiously influenced destruction of works of artwork, especially figurative pix: as an example the Byzantine Iconoclasm of the 8th and 9th centuries, and what Martin Luther termed the “Bildersturm” at some point of the Reformation. Iconoclasm is the social belief in the significance of the destruction of icons and different photos or monuments, maximum regularly for spiritual or political reasons. people who engage in or guide iconoclasm are called iconoclasts, a time period that has turn out to be figuratively implemented to any character who challenges "cherished beliefs or venerated establishments on the grounds that they may be erroneous or pernicious."

Learn more about Iconoclasm here:-

https://brainly.com/question/25758528

#SPJ4

Answer:1: iconoclasm

              2: Catholic church

              3: a sin to display it in the church

Explanation:

just did it on edge

Help me answer these 2 questions! best answer gets thanks and brainliest ^^

identify two contributions to technology that were made during the tang dynasty (1 point)

A. gunpowder and abacus
B. sails and irrigation
C. silk and paper
D. Written language and pottery

Analyze how Confucianism impacted Emperor Wudi's treatment of the nobility (1 point)

A. he made the nobles pass a civil service test
B. he increased the power of the nobility
C. nobles were punished less severely than peasants
D. he gave power to people who passed Confucianism tests

Answers

Answer: 1/A. gunpowder and abacus

2/B. he increased the power of the nobility

Explanation:

1. The two contributions to technology that were made during the tang dynasty are gunpowder and abacus

2. Confucianism impacted Emperor Wudi's treatment of the nobility as A. he made the nobles pass a civil service test.

What was the technology about?

Emperor Wudi's treatment of the nobility during the Tang Dynasty was influenced by Confucianism. Confucianism emphasized the importance of meritocracy and ethical behavior. As a result, Emperor Wudi implemented a civil service examination system, requiring the nobility to pass these tests in order to hold positions within the government.

This practice aimed to ensure that individuals in positions of power were chosen based on their knowledge, skills, and adherence to Confucian principles rather than solely on their noble status. This move by Emperor Wudi aligns with Confucian ideals of governance and merit-based selection.

Learn more about technology

https://brainly.com/question/7788080

#SPJ2

Which cities constituted main areas of Christian growth up to A.D. 325?

Answers

Christianity was most prevalent in large cities along the Mediterranean Sea in 325 AD. The principal centers of Christianity during this time included Carthage, Rome, Ephesus, Antioch, Damascus, and Jerusalem.

Egypt, North Africa, and Gaul had all adopted the faith by the end of the second century A.D. Jews who had moved in the major Roman Empire cities and worked as merchants, artisans, and intellectuals among the converts as the religion gained popularity. It is generally accepted that the reason Christianity spread so quickly is because people didn't think it was important enough to control, regulate, or persecute because it was viewed as a minor religion. Christians argued that their religion was a fulfillment of Jewish scriptures in response to claims that it was inferior.

Learn more about Christianity here:

https://brainly.com/question/27649231?

#SPJ9

How should waste materials be disposed? How about contaminated

wastes?

Answers

Answer:

If the waste can be composted or is biodegradable, place it all in the compost pit. If the waste is polluted, it is the responsibility of the garbage collector or waste collection facility to handle it. Perhaps it will be disposed of in a landfill or incinerated.

Explanation:

I hope this helps you! <3

Plato wrote that a tyrant can become dangerous because every tyrant has too much... question 12 options: freedom to rule. material wealth. popular support. interest in war.

Answers

Plato wrote that a tyrant can become dangerous because every tyrant has too much freedom to rule.

In Plato's view, a central reason that a tyrant becomes a problem is that the ruler has too much freedom—freedom to do whatever he or she likes, without regard for law or reason. As a result, the ruler can become a danger to the people.

The tyrannical man is the son of the democratic man. He is the worst form of man due to his being the most unjust and thus the furthest removed from any joy of the true kind. It is dangerous .

To know more about Plato here

https://brainly.com/question/28426876

#SPJ4

2. Based on the excerpt, explain what role the key provisions in the Articles of Confederation played in the debate over state sovereignty vs. strong national government.

Answers

Explanation:

The Continental Congress adopted the Articles of Confederation, the first constitution of the United States, on November 15, 1777, but the states did not ratify them until March 1, 1781. The Articles created a loose confederation of sovereign states and a weak central government, leaving most of the power with the state governments. Once peace removed the rationale of wartime necessity the weaknesses of the 1777 Articles of Confederation became increasingly apparent. Divisions among the states and even local rebellions threatened to destroy the fruits of the Revolution. Nationalists, led by James Madison, George Washington, Alexander Hamilton, John Jay, and James Wilson, almost immediately began working toward strengthening the federal government. They turned a series of regional commercial conferences into a national constitutional convention at Philadelphia in 1787. This constitutional convention laid the foundation for what would later be established as THE U.S. CONSTITUTION OF WE THE PEOPLE.

What was the outcome when the treaty of Ghent was signed and the war of 1812 ended

Answers

Answer:

the United States got the right to the Mississippi River and all of its tributaries. it set up a peaceful process for settling future disputes

Other Questions
describe the motion of fluid as it transfers energy. What type of entrepreneurship focuses on preservation of nature, life support, and community in the pursuit of perceived opportunities to bring into existence future products, processes, and services for gain, where gain is broadly construed to include economic and non-economic gains to individuals, the economy, and society?. what is the slope of the line What is the answer(Also if you can please wright how you did it):) Which equation represents a graph with a vertex at (3, 2)?y = 4x2 + 24x + 38y = 4x2 24x + 38y = 4x2 + 12x + 2y = 4x2 + 16x + 13 Annie can mow 1/6 of an acre in 50 minutes. how many acres can she mow per hour? Solve each equation by factoring. Check your answers. 4 x+11 x+6=0 help me please :(What did Black nationalists fight for? Did they agree with Martin Luther King Jr.? Why or why not? Harper loves adidas apparel for its style and comfort. She needs running pants and purchases a pair with the adidas logo. This is an example of which type of purchase decision?. 4. In Federalist Paper 78, which branch did Hamilton state was the weakest? O executive O legislative O diplomatic O judicial Multiply or divide. State any restrictions on the variables.x+3 x-10 / x+4 x-12 . 3x+18 / x+3 The Canadian goose flies south for the winter to avoid the extreme cold. Which characteristic of life does this behavior best illustrate? response growth and development cellular organization metabolism Please help, I have a time limit on each question and its almost done b. If x=b ,then x=b what is 60:48 in the simplest form If Ax + By = CzIf A, B, C, x, y, and z are all positive integers then A, B, and C should all have a common prime factor.A common prime factor means that each of the numbers needs to be divisible by the same prime number. So 15, 10, and 5 all have a common prime factor of 5 (they're all divisible by the prime number 5).So far, so simple, and it looks like something you would have solved in high school algebra.But here's the problem. Mathematicians haven't ever been able to solve the Beale conjecture, with x, y, and z all being greater than 2.For example, let's use our numbers with the common prime factor of 5 from before.51 + 101 = 151but52 + 102 152 Which story problem could be solved using the given equation 1/5 x 2/3 Cause: Atlantic trade winds north equator blow clockwise If q I s the number of quarts of lemonade, then 1/4 quarts can be used the number of cups of lemonade mix. How much mix is needed to make the needed amount of lemonade?2 quarts 8 quarts 12 quarts 18 quarts carolina land trust purchases private land for clean waterway conservation. a benefactor invested $1,000,000 for 15 years and gave the principal and accrued interest of $1,200,000 to the trust. (a) what simple interest rate did the investment earn? (b) had the interest being compounded annually at that rate, what would have been the value of the gift?