What is the nature of roots of quadratic equation 5x2 7x 2 0?

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Answer 1

The nature of the quadratic equation's 9 roots is 5x27x20 subsequently, the quadratic equation is [tex]ax^{2} +bx+c[/tex] .

What do you meant by quadratic equation?

[tex]$$\begin{aligned}& 5 x^2-7 x+2=0 \\& a=5 \\& b-7 \\& c=2 \\& b^2-4 a c \\& =49-4 \times 5 \times 2 \\& b^2-4 a c=9 \\& b^2-4 a c > 0\end{aligned}$$[/tex]

[tex]$\therefore$[/tex] Real and distinct roots can be found.

Here, a, b, and c are true and sensible. As a result, the value or expression ([tex]b^{2} - 4ac[/tex]) under the square root sign determines the type of roots and of the equation [tex]ax^{2} + bx + c = 0[/tex]. We say this because a negative number's root can never be a real number.

The nature of the roots indicates whether the equation has rational, irrational, or fictitious roots. Real roots are another name for imaginary roots. We must calculate the discriminant, which is [tex]b^{2} - 4 a c[/tex], in order to understand the kind of roots in quadratic equations (of the form [tex]ax^{2} + bx + c=0[/tex] ).

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Related Questions

Can evidence from one trial be used in another India?

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The evidence that was documented in one instance cannot be used in the cross-case. A party must get all required consents or permits before exploiting any evidence or disclosure gained in one action for the benefit of another.

What Exactly Is Proof?

Evidence is anything or information that is used to raise or lower the probability that a fact is true. Evidence can take many different forms, including testimony, written documents, visual or audio recordings, DNA tests, and other physical objects. Courts are unable to accept all evidence because it must adhere to the respective jurisdiction's standards of evidence (see below). In Judiciary, evidence is subject to the Federal Rules of Evidence. The court may reject testimony that is unreliable, hearsay, or otherwise inadmissible.

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What are the 4 types of local government unit and explained each?

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The four main categories of local government are county governments, municipalities (cities and towns), special districts, and school districts. About 8,000 local governments nationwide, or the majority, are counties.

Define local government unit.

A "unit of local government" is defined as any city, county, township, town, borough, parish, village, or other general-purpose political subdivision of a State.

Various Local Governments:

Municipalities.Regional Municipalities.Rural Communities (RC)Local Service Districts (LSD)

Each of the five continuously inhabited US territories also has smaller entities. While Puerto Rico has 78 municipalities, the Northern Mariana Islands only have four.

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Who is the leader of the Senate floor?

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Democratic candidate Kamala Harris was sworn in as vice president on January 20, 2021. Mitch McConnell is now the minority leader of the Senate, and Charles Schumer is the majority leader, thanks to her tie-breaking vote.

Who is the leader of the Senate?

President of the Senate, vice president of the United States. In his function as Senate president, the vice president is mandated by the Constitution to preside over daily Senate proceedings. When the vice president is not present, the chair is taken by the president pro tempore of the Senate (and any other people they choose).

Who makes the selection of the Senate leader and how is it done?

A senator who is qualified under the Constitution to chair the body in the absence of the vice president. The Senate customarily elects the senator from the ruling party with the longest history of continuous service to be president pro tempore (or "president for a time").

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How is soft power defined?

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Soft power in politics refers to the capacity to coax rather than force others to do something (contrast hard power). In other words, soft power entails influencing other people's preferences through attraction and appeal.

Who coined the word "soft power"?

The phrase "soft power" which Nye, a former dean of Harvard's Kennedy School of Government first used in the late 1980s to describe a nation's capacity to influence others without using force or coercion, is now frequently used in discussions of foreign policy. In this brief work, the concept is reintroduced and its use in developing post-September 11 U.S. foreign policy is argued.

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What does a political campaign director do?

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To achieve the campaign's financial objectives, the finance director collaborates closely with the candidate, campaign manager, and finance committee.

What does a campaign team for a politician do?

The campaign crew is the team of people in charge of creating and executing a political campaign's strategy. Campaign staffs often consist of paid and unpaid volunteers from the campaign or a related political party.

What does a campaign manager do?

A campaign manager, chairman, or director, who may be paid or unpaid, oversees the operations of a political campaign, including fundraising, advertising, opinion polling, voter turnout (including direct contact to the public), and other supporting tasks.

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What executive branch of government is elected by direct vote by the people for a term of six years?

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Answer: The Senate of the United States shall be composed of two Senators from each State, elected by the people thereof, for six years; and each Senator shall have one vote.

Who takes over if something happens to the president?

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The vice president takes over

When an oil company is invited to participate in negotiations with the Environmental Protection Agency over a proposed rule on offshore drilling, it illustrates that
A. the First Amendment to the Constitution only allows corporations to "petition the Government for a redress of grievances."
B. Supreme Court decisions banning iron triangles have largely failed to limit interest group influence.
C. federal agencies almost always attempt to consult relevant stakeholders before implementing a new rule.
D. interest groups no longer attempt to influence representatives in Congress or judges and focus almost all of their attention, instead, on administrative agencies.

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Environmental Protection Agency over a proposed rule on offshore drilling, it illustrates that the First Amendment to the Constitution only allows corporations to "petition the Government for a redress of grievances."

What is a referendum ?

Referendum a kind of direct legislating used at the state level that allows citizens to endorse or reject proposed laws or constitutional amendments.

a vote on whether to reverse a law that raises taxes on citizens who are wealthy and was approved by the New York state legislature and signed by the state's governor.

Any subject, matter, or action that has been put to the people's vote by the General Assembly, a local government, or a voter petition as permitted by law is referred to a referendum. Bond issues and constitutional amendments both require a referendum.

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n contract law it is the that determines how an offer may be . offeree, accepted court, rejected offeror, accepted state, accepted

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The party making the offer is called the offeror. The offeree is the individual who either acknowledges or doesn't acknowledge the proposition. Therefore, there must be three things for an agreement to exist: a bidder, a bidee, and, of course, a bid!

What are the two conditions for acceptance?

It is necessary to communicate acceptance. Quietness can't generally be viewed as acknowledgment. If the offer is not accepted without changes, it is a counteroffer.

In contract law, what do offer and acceptance mean?

The foundation of a contract is the meaning of offer and acceptance. An offer made by one party must be accepted by another, and then, typically, goods or services must be exchanged between the parties to form a contract.

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What is the setting of Act 2 Scene 1?

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The lord of Morocco shows up in Belmont in an trouble to gain Portia's hand in marriage.

Portia is prompted by the lord not to make hypotheticals about him grounded on his appearance because he's just as heroic as any European man. Portia informs the lord that the process of choosing cases, as outlined in her father's will, deems the lord to be as good as any other suitor, anyhow of her own preferences. The lord begs Portia to take him to the caskets so he can make his stylish conjecture after making a lengthy protestation of his own frippery and heroism. She tells him that if he suppositions inaptly, he'll have to live his entire life single. This condition is accepted by the lord, and Portia also takes him to supper.

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What is the main point of the Supremacy Clause quizlet?

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The Supremacy Clause of the United States Constitution is well-known. It establishes that the federal constitution and, more broadly, federal law take precedence over state laws and, indeed, state constitutions.

It forbids states from interfering with the federal government's exercise of its constitutional powers or performing any functions that are solely vested in the federal government. It does not, however, give the federal government the authority to review or veto state laws before they go into effect. State legislatures must also consider the Supremacy Clause. Changes to the Articles would be rejected by the national military. the supreme law of the land? Take one of our many Physical Chemistry practice tests to go over commonly asked questions. Which Authorities Does the Constitution Delegate The Inquisitive President Our Constitution established the federal government of the United States and established its relationship with the people and individual states. Ratification of the Constitution The Declaration of Rights Today's Constitution the United States The United States Constitution established and guaranteed America's national government and fundamental laws. A state constitution is the state's supreme law. The preamble sets the tone for the Constitution in order to assert your constitutional rights, you must first understand them.

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What is the purpose of the Bill of Rights according to the preamble?

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The primary goal of the Bill of Rights is to protect citizens' inherent rights as guaranteed by the U.S. Constitution.

What sentence in the Preamble is the most significant?

We the People, the most significant three words in our country's history, are found in the Preamble. These three words, together with the Preamble's succinct balance, lay the groundwork for our country's "federalism," which grants the states and the federal government both shared and exclusive rights.

What are the Bill of Rights' three fundamental tenets?

Below is a list of the first ten amendments to the United States Constitution. Freedom of speech, press, assembly, and petition are all guaranteed. To maintain a well-managed militia, it is necessary to have the right to keep and bear arms.

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What was the purpose of giving federal judges a life term?

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The purpose of lifetime position of federal judge is the independence from politics.

Life tenure for federal judges serves an incredibly important purpose: it shields judges from the political pressures that come with frequent duty to an electorate. Unlike many state courts, federal judges are not concerned with raising campaign cash or alienating voting constituencies by issuing unfavorable (but legally correct) decisions.

Federal courts play a critical role in preventing a hyper-democratic "tyranny of the majority," in which minority rights are routinely subordinated to the will of the majority. Many of the Bill of Rights clauses that courts frequently rely on to enforce - the right to free expression, the ability to exercise one's religion, and the right to due process of law, to name a few - were enacted to protect the rights of a small and sometimes unpopular minority.

Even in the best of conditions, being a conscientious federal judge is a challenging job. Even judges with lifelong tenure are not immune to political pressure. They continue to be members of their own communities, and as such, they are subject to a variety of social repercussions.

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Was the AAA a relief recovery reform?

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The Agricultural Adjustment Act (AAA) was signed into regulation through President Franklin Roosevelt on May 12, 1933 [1]. Among the law's dreams were limiting crop production, reducing stock numbers, and refinancing mortgages with terms extra favorable to struggling farmers [2].

What used to be the result of the AAA?

In 1936 the Supreme Court struck down the AAA, finding that it was once unlawful to tax one group—the processors—in order to pay any other group—the farmers. Despite this setback, the Agricultural Adjustment Act of 1933 had set the stage for almost a century of federal crop subsidies and crop insurance.

For example, the Agricultural Adjustment Act was once primarily a relief measure for farmers, however it additionally aided recovery, and it had the unintended final result of exacerbating the unemployment problem.) In the first two years, remedy and immediate recuperation had been the predominant goals.

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______ is an alternative dispute resolution technique in which disagreeing parties agree ahead of time to accept the decision of a neutral party in a formal courtlike setting, often complete with evidence and witnesses.

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An experienced third-party neutral is used in arbitration, an alternate conflict resolution technique, in a formal courtroom environment, frequently with witnesses and evidence.

Which of the following is a different approach to resolving disputes?

Common ADR practises include mediation, arbitration, and neutral assessment. These processes tend to be less formal, stressful, and public than traditional court sessions.

What does bargaining mean specifically in terms of the ADR?

The act of exploring the nature of any potential collaborative action that parties with opposing interests might take to manage and ultimately resolve their issue through direct or indirect communication is known as negotiation.

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53. Mechanical Engineering Inc. may be liable for the sexual harassment of an employee if the company knew or should have known about the harassment, failed to take immediate action, and the harassment was committed by a. the employee's previous employer. b. a company supervisor. c. a competitor. d. any of the choices.

Answers

The harassment, failed to take immediate action, and the harassment was committed by  a company supervisor.

Is harassment always criminal?

In general, harassment is illegal, and when it gets physical, it may result in legal action being taken against the offender or the business. Both violent crimes and sexual harassment fall under this category. Workplace harassment does not include lawful and reasonable management actions, such as those made to transfer, demote, or penalize an employee, provided that these actions are carried out in a reasonable manner.

What are the most common forms of harassment offenses?

There are two categories of sexual harassment accusations, according to the Commission on Equal Employment Opportunity (EEOC): "quid pro quid" and "hostile work environment." On defining sexual assault and establishing employer culpability, the EEOC offers assistance.

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Why was the NAFTA agreement important?

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The goal of NAFTA was to increase economic activity amongst North America's three major economies Canada, the United States, and Mexico.

Why was NAFTA created? Is it considered a success?

The North American Free Trade Agreement (NAFTA) was developed more than two decades ago with the goal of increasing trade between the United States, Canada, and Mexico. Its secondary goal was to increase these countries' global competitiveness. It has been extraordinarily successful in achieving both objectives.

What was NAFTA's significance?

To summarize, NAFTA established a wide free-trade zone in which import and export duties between the three member countries were decreased or removed (the U.S, Mexico, and Canada). Overall, commerce between the three countries increased, and real per capita GDP climbed marginally.

NAFTA's purpose was to encourage economic activity among North America's three major economic powers: Canada, the United States, and Mexico. Supporters of the pact believed that it would benefit the three countries involved by promoting freer trade and lower tariffs between Canada, Mexico, and the United States.

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What happens when govt expenditure increases?

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A growth in aggregate demand is probably going to result from increased government spending (AD). In the short run, this may result in greater growth.

What happens when government spending rises?

Government expenditure growth stimulates the economy's overall demand and contributes to some real GDP growth.More people find work and earn money as a result of that rise. A greater increase in consumer spending as a result of higher incomes increases aggregate demand and supports continued real GDP growth.

What happens when government expenditures increase?

According to Keynesian economics, more government spending enhances aggregate demand and consumption, which leads to increased production and a quicker recovery from recessions.

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in 2022, provided maria meets the requirements to claim the full credit, what is the maximum amount of the child tax credit and the credit for

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answer: The Child Tax Credit is intended to offset the many expenses of raising children and can be worth as much as $2,000 per child for Tax Year 2022; the refundable maximum is $1,500. For Tax Year 2023, the refundable maximum will be $1,600.

Probable cause is
a.) a precedent-setting term concerned with the use of undercover operations
b.) a police procedural issue concerned with the use of deadly force
c.) a legal explanation for the use of interrogation as a means to elicit a confession
d.) a legal criterion residing in a set of facts that cause a reasonable person to believe that a person committed a specific crime.

Answers

Probable cause is a legal criterion residing in a set of facts that cause a reasonable person to believe that a person committed a specific crime.

According to American criminal law, a police officer must have probable cause before being granted a warrant for the arrest of a suspect or the issuance of a search warrant. Probable cause is not a term or phrasing that is generally accepted. Traditionally, the question of whether a suspect had committed or was committing an offence at the time of arrest has been answered by looking at the facts and circumstances that were known to the officer and about which they had reasonably reliable information. This definition comes from the 1964 U.S. Supreme Court decision Beck v. Ohio. Grand juries use it as a guideline when issuing criminal indictments.

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Which departments and agencies help the president maintain national security?

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the Military Commanders, the Army Force Protection Service, the Security Agency, as well as the Defense Intelligence Apparatus, among many more departments, agencies, and organizations.

What is the overarching goal of national security?

As previously stated, the objective of the national security policy is to secure the preservation of our country's enduring and fundamental needs: to ensure the lives and safety of Americans and to uphold American sovereignty over its institutions, values, and territory.

Who is in charge of maintaining national security?

The National Security Council serves as the President's main decision-making forum for matters of national security and foreign policy, as well as the President's main vehicle for coordinating these matters among federal departments.

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Does an executive order override state law?

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An executive order is a pronouncement made by the president or a governor that has legal effect and is typically based on pre-existing statutory authority.

Does an executive order supersede a state law?

In order to supersede state law, executive orders must also be "legal." As a result, the Constitution's requirements are quite clear: the Federal government cannot directly coerce the States to adopt specific legislation or pursue its policy objectives.

The Executive Branch of the United States Government is instructed through executive orders, which are issued by the White House. Executive orders specify necessary conditions for the Executive Branch and have legal force.

The Supremacy Clause is the name given to paragraph 2 of Article VI of the United States Constitution. The federal constitution and federal law in general are established as having precedence over state laws and even state constitutions. Federal law is referred to as "the supreme law of the nation" in the U.S. Constitution.

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What were 5 programs of the New Deal?

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President Franklin D. Roosevelt launched a number of initiatives known as the "New Deal" to help Americans regain their prosperity during the Great Depression.

What were the 3 major programs of the New Deal?

President Franklin D. Roosevelt launched a number of initiatives known as the "New Deal" to help Americans regain their prosperity during the Great Depression. When Roosevelt took office in 1933, he moved quickly to stabilize the economy, create jobs, and help people in need.

Congressional Emergency Relief Act (1933)

made the Federal Emergency Relief Administration exist (FERA).

lent money to states so they might finance regional humanitarian initiatives for the poor.

Federal Surplus Commodities Corporation (FSCC) (1933)

formerly known as the Federal Surplus Relief Corporation (1933–1935) and subsequently as the Federal Surplus Commodities Corporation (1935–1940), provided surplus food and other goods to individuals in need.

Numerous other benefit plans for employees of the rail sector are administered by the Railroad Retirement Board (1934), in addition to the Railroad Retirement Program.

appropriations for emergency relief (1935-1943)

provided money for New Deal labor organizations, particularly the Works Progress Administration (WPA).

Social Security Act (1935)

a nationwide system of pensions, unemployment insurance, and assistance for mothers with children was established, and the Social Security Administration (SSA) was established to oversee its administration.

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What is judicial interpretation of the Constitution?

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Judicial interpretation refers to how a judge translates laws in the constitution.

Unique judges interpret the legal guidelines of their state or the country in distinctive approaches. A few judges are stated to interpret laws in ways that can't be sustained by using the plain that means of the law; at other times, some judges are said to "legislate from the bench". Those judicial behaviors are occasionally known as judicial activism, which is contrasted to judicial restraint as a way of interpreting both what legal guidelines say and how much freedom judges ought to create new laws from the bench.

A judge looks to the meaning of the words within the constitution, relying on common understandings of what the words intended on the time the provision was brought. A judge infers structural policies (strength relationships between institutions, for example) from the relationships especially mentioned in the constitution.

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What is an example of dependent?

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child, spouse, parent, or certain other relative to whom one contributes all or a major amount of necessary financial support: She listed two dependents on her income-tax form.

How does gerrymandering work in the US?

Answers

Setting electoral district borders to promote particular political objectives inside legislative bodies is known as gerrymandering.

Who makes the choice to gerrymander?

The new census information is used by the impartial Californian Citizens Redistricting Commission (CCRC) to redistrict the State Board of Equalization, State Senate, and Congressional districts. Republican political strategist Thomas Brooks Hofeller (April 14, 1943 – August 16, 2018) is best recognized for his role in gerrymandering election district patterns in their favor.

Does gerrymandering pose a threat to democracy?

Because it gives politicians the ability to pick their voters through packing or cracking, gerrymandering is risky. Political gerrymandering, for instance, is prohibited, but the Council has never deemed a map to be too partisan.

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What is the mandate of the Office of the President?

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A presidential mandate is the power bestowed upon a president by the people who successfully elect them to serve as their representative in government.

What is the president of the Philippines' mandate?

All executive divisions, agencies, and offices are under the purview of the Philippine president. This covers formal appointments as well as reorganization and reconfiguration.

What is the definition of the presidential mandate?

In a representative democracy, a constituency's authorization to act as its representative is referred to as a mandate (or seat). It's a popular misconception that elections, especially ones with a wide margin of victory, provide newly elected officials or governments an implied mandate to carry out specific programs.

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What powers did the USA Patriot Act grant to the federal government ?

Answers

The Patriot Act allows the FBI to secretly wiretap or perform physical searches on American residents without demonstrating probable cause in order to gather evidence of criminal activity.

What is a government simple definition?

Every country or group of people has a system of government. According to Oxford Encyclopedia, government is "a system of social control in which the right to propose laws or the right to enforce them is vested in a certain group within society."

What is the full meaning of government?

1. the action of governing; political rule or administration; the exercise of political authority over the activities, affairs, etc. of a political unit, population, etc., as well as the performance of certain responsibilities for this unit or body. 2. the framework or method.

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which of the following is not an exclusive right (subject to some exceptions) granted by copyright law?

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Option a is Correct. Profit from the work is not an exclusive right conferred by copyright law (subject to few exceptions).

The copyright holder has control over how a copy of the work is made thanks to the reproduction right. Given that it is at issue in the majority of copyright infringement claims, it is perhaps the most crucial of the rights. Pasting a news article into an email, photocopying a magazine, uploading movies or music to a website, copying a computer program or a document onto a PC, scanning or digitizing printed text or images into a digital file, or right-clicking an online photo or other image and copying it or saving it to a PC are a few examples of actions that violate the reproduction right.

These kinds of actions (as well as the ones listed below) may violate the rights of the copyright owner if they are not permitted by the copyright owner or by another provision of the law, such as the fair use exception (s).

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Correct Question:

Which of the following is not an exclusive right (subject to some exceptions) granted by copyright law?

a. Profit from the work.

b. Distribute the work.

c. Copy the work.

d. Create "derivative works".

How does this passage demonstrate the use of propaganda it repeats the animals accomplishments in the battle with Frederick over and over?

Answers

It emphasizes the positive aspects of the conflict with Frederick while downplaying its negative elements.

What use of propaganda does this paragraph make apparent?It repeatedly recapitulates the victories the animals had over Frederick.It implies that the animals defeated Frederick using exaggerations.It emphasizes the positive aspects of the conflict with Frederick while downplaying its negative elements.It makes use of farm animals to support the contention that the animals triumphed over Frederick.

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