A basketball coach is performing a cost/benefit analysis in order to determine if more hours of practice would help the team score more points
The coach's action is an example of

A.individual trade-offs
B. opportunity cost.
C. marginal thinking
D. marginal benefit.

Answers

Answer 1

Answer: The coach's action is an example of Marginal Thinking.

Explanation:

Marginal thinking involves the analysis of the cost/benefit of increasing a unit to something. In this case, the coach is considering whether to increase practice hours (cost) the team will get more points (benefits).

Although it seems like a simple thought process, Marginal Thinking implies analyzing all the variables that are compromised. For example, the coach must consider if more hours of training could generate more fatigue in the players, and that would lower their performance and get fewer points.

I hope this information can help you.


Related Questions

the vast majority of the worlds nations have which system of government ?

Answers

Answer:

As of today, the vast majority of world's government is under democracy, and the democratic government tree. This can include, but not limited too, federal,  representative, direct, etc.

For example, the US government employs both direct & indirect democracy (federal). In certain cases, the US people vote directly for any changes. But in general (such as the general election), the US votes indirectly, telling their representatives who to vote for.

Another example can be the United Kingdom, which also employs indirect democracy. They vote for members in the parliament, who then votes for the laws.

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Corporations have more ways to raise
to pay for productive resources than small firms or not-for-profit
organizations.

Answers

Answer:

Unlike small firms and non-profit organizations, corporations have more ways to raise the money that they spend on productive resources.

Explanation:

This is because corporations have the advantage of more means to raising capital such as selling stocks.This gives them an advantage over the other business structures.Employees can be attracted to offer their labor to corporations that small holdings since they are sure of their payment due to the high amounts of funds operated by corporations in comparison to small firms.

Answer:

capital

Explanation:

Which of the following statements best describes the characteristics of a hypothesis, one of the steps of the scientific method A. it is a possible answer to a specific question B. it is a scientific inquiry that cannot be tested C. It is a fact D. it is always true

Answers

Answer:

A. it is a possible answer to a specific question

Explanation:

a hypothesis is a proposed explanation for an observation or scientific problem

Answer:

A. it is a possible answer to a specific question

Explanation:

To act as a scientist, a researcher must meet the methodological requirements of a scientific work. This involves creating a hypothesis for the work, which is nothing more than a question to be investigated during the research. The researcher's hypothesis can be confirmed or refuted at the end of the investigative experiment.

 For example, an economics researcher might hypothesize about the impact of increased public spending on early childhood education. Then, based on this hypothesis, he or she will investigate with available data whether increased public spending positively affects early childhood education. At the end of the experiment, he confirms or refutes the hypothesis.

Note: This applies to all areas of knowledge.

Social Security is an example of an entitlement program.

Question 16 options:
True
False

Answers

True
I hope this helps

Answer:

The correct answer is "True".

Explanation:

Entitlement Programs of the federal government include Medicaid, Medicare, Social Security, Unemployment and Welfare Programs.  Entitlement programs are rights granted to citizens and certain non-citizens by federal law. Welfare programs such as SNAP (food stamps) or pell grants are an example of this kind of entitlement. The Social Security Retirement Program is an example of a contributory program.  Payroll taxes are paid into the program during a person’s working years and benefits are paid out monthly during retirement years based on a formula driven on total contributions made to the program.

On the world map above, which hemisphere is highlighted?

A. the Northern Hemisphere
B. the Southern Hemisphere
C. the Eastern Hemisphere
D. the Western Hemisphere

Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

D

Explanation:

thus why the allow is pointing to

Answer:

d - western hemisphere

Explanation:

Describe one specific way that the two disasters detailed above contributed to the decline of the Roman Empire.

Answers

You neeeeeeed to detail

The decline of the Roman Empire was exacerbated by financial struggles resulting from lost territories and reduced tax revenues, as well as the devastating effects of the Plague of Justinian and climatic disturbances from a volcanic eruption.

One specific way that the disasters contributed to the decline of the Roman Empire was the significant financial strain caused by the loss of territories and subsequent decrease in tax revenues. As large areas of the Western Roman Empire were lost, the diminished tax base undermined the empire's ability to support its military and administrative structures. This weakened state left the empire more vulnerable to Germanic invasions and internal decay.

Adding to the financial woes, the Plague of Justinian in 542 CE severely affected the population in the realm, crippling military recruiting and morale. The economy was further disrupted by a major volcanic eruption in 536 CE, which led to climatic changes and poor harvests. These combined catastrophes precipitated a downward spiral from which the Western Roman Empire could not recover, marking a significant factor in its decline.

Asbestos is most often associated with which medical condition?
O
O
A. Obesity
B. Alzheimer's disease
O
C. Heart disease
O
D. Lung disease

Answers

Answer:

Asbestos is almost always associated with various lung diseases

Asbestos is most often associated with the medical condition related to lung disease. Inhalation of asbestos fibre can even lead to Asbestosis.

What is asbestos?

Asbestos is a type of mineral found in earth's crust. Inhalation of these fibres can cause severe diseases like cancer.

What is lung?

Lungs are the organs which is a part of respiratory system. It helps in exchange of oxygen and carbon dioxide in and out of the body.

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Which scenario best illustrates demographic underrepresentation?

Answers

Answer: all states receive equal representation in the senate regardless of their population!

Why does the human population continue to grow exponentially?
O
O
A. We are recovering from a population crash.
B. We are far beyond the carrying capacity of Earth.
O
c. Human population is not sustainable in the long run.
O
D. There are enough resources for each new member of the
population to use.

Answers

Answer:

The answer is D

Explanation: The reason we as a population keep growing is because we have more resources readily available for humans. With advancements in technology and machines we have many more resources and goods.

Human population continue to grow exponentially because there are enough resources for each new member of the population to use.

What is a Population?

This is defined as the total number of species present in a given area over s period of time.

Population tends to grow exponentially when there are enough resources for the organisms to use for their survival in the ecosystem.

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What impact did Georgia’s transition from a trustee colony to a royal colony have on its economy?

A. It began to thrive.

B. It stayed the same.

C. it collapsed

D. it began to suffer

Answers

Answer:

A. It began to thrive.

Explanation:

PLEASE HELP ME!!
Which statement best describes Africa's physical geography?
A. It mostly covered with rain forests
B. Much of it was savanna
C. It has wide coastal plains
D. It is a huge desert

Answers

Answer:

Option d - It is a huge desert

Explanation:

The Sahara covers large parts of Algeria, Chad, Egypt, Libya, Mali, Mauritania, Morocco, Niger, Western Sahara, Sudan and Tunisia. It covers 9 million square kilometres (3,500,000 sq mi), amounting to 31% of Africa.

Africa has eight major physical regions: the Sahara, the Sahel, the Ethiopian Highlands, the savanna, the Swahili Coast, the rain forest, the African Great Lakes, and Southern Africa. Some of these regions cover large bands of the continent, such as the Sahara and Sahel, while others are isolated areas, such as the Ethiopian Highlands and the Great Lakes. Each of these regions has unique animal and plant communities.

Answer:

the correct answer is b. much of it was savanna

Explanation:

Which of the following drives the free market economy?

A.
the needs and wants of the people

B.
the supply of goods in the market

C.
the number of consumers in the market

D.
the gross domestic product

Answers

Hello and welcome to Brainly.

The answer is A) The needs and wants of the people.

The reason being is that a free market is ran with the consumers best interest.

Answer:

A. The needs and wants of the people

Explanation:

Free market economy is a situation whereby the prices and productions are determined freely by the needs and wants of the people. That is, the force of demand and supply, or the buyers and sellers conducting businesses without government regulation. In other words, it's a purely capitalist economy, where by the profit is what dictates how the businesses are conducted such that it functions at optimum level, so as not to lose ground/market share to competitors.

Example of countries operating free market economy are but not limited to China, Hong Kong,Singapore etc.

Who taught that Communism is a form of socialism?

a. Robert Owen

b. Keir Hardie

c. Karl Marx

d. Adam Smith

Answers

The answer to this question Is C - Karl Marx

Answer:

c. Karl Marx

Explanation:

Within Karl Marx's ideas, he argued that communism was the objective of socialism. Humanity would have to undergo a series of steps to be able to evolve from a liberalist society, to a socialist one and then reach communism, where the class division was totally eliminated.

These steps include a revolution of the attacked (dominated classes) and the acceptance of the dominant races to leave the power to change it for the equitable treatment among all.

* Who started Apartheid in South Africa?
* What is the Apartheid?
* The Aim of Apartheid.
* Examples of Apartheid.
* Apartheid laws after 1948.
* Who ended Apartheid in South Africa?
* Forms of Opposition against Apatheid in S.A?

Answers

Answer:

Apartheid

Explanation:

The aim of apartheid was to separate the people of South Africa into small independent nations. The black ones were called Bantustans.

National Party  (started Apartheid)

Translated from the Afrikaans meaning 'apartness', apartheid was the ideology supported by the National Party (NP) government and was introduced in South Africa in 1948. Apartheid called for the separate development of the different racial groups in South Africa.

Definition of Apartheid: (in South Africa) a policy or system of segregation or discrimination on grounds of race.

segregation on grounds other than race.

An example of Apartheid is a society where white people are considered superior and people of other races are mistreated.

After the Second World War, the National Party came to power in 1948 on a ticket of racial segregation and support for poor Afrikaners. A large number of laws were passed to establish the apartheid structure of government. ... It prohibited marriage between people of different races. The Group Areas Act.

The apartheid system in South Africa was ended through a series of negotiations between 1990 and 1993 and through unilateral steps by the de Klerk government. These negotiations took place between the governing National Party, the African National Congress, and a wide variety of other political organisations.

Internal resistance to apartheid in South Africa originated from several independent sectors of South African society and alternatively took the form of social movements, passive resistance, or guerrilla warfare. Mass action against the ruling National Party government, coupled with South Africa's growing international isolation and economic sanctions, were instrumental factors in ending racial segregation and discrimination.[1] Both black and white South African activists such as Steve Biko, Desmond Tutu, Nelson Mandela, Harry Schwarz, and Joe Slovo were involved with various anti-apartheid causes. By the 1980s, there was continuous interplay between violent and non-violent action, and this interplay was a notable feature of resistance against apartheid from 1983 until South Africa's first multiracial elections under a universal franchise in 1994.[6]

The aim of apartheid was to separate the people of South Africa into small independent nations. The black ones were called Bantustans.

National Party  (started Apartheid)

Translated from the Afrikaans meaning 'apartness', apartheid was the ideology supported by the National Party (NP) government and was introduced in South Africa in 1948. Apartheid called for the separate development of the different racial groups in South Africa.

Definition of Apartheid: (in South Africa) a policy or system of segregation or discrimination on grounds of race.

segregation on grounds other than race.

An example of Apartheid is a society where white people are considered superior and people of other races are mistreated.

After the Second World War, the National Party came to power in 1948 on a ticket of racial segregation and support for poor Afrikaners. A large number of laws were passed to establish the apartheid structure of government. ... It prohibited marriage between people of different races. The Group Areas Act.

The apartheid system in South Africa was ended through a series of negotiations between 1990 and 1993 and through unilateral steps by the de Klerk government. These negotiations took place between the governing National Party, the African National Congress, and a wide variety of other political organisations.

Internal resistance to apartheid in South Africa originated from several independent sectors of South African society and alternatively took the form of social movements, passive resistance, or guerrilla warfare. Mass action against the ruling National Party government, coupled with South Africa's growing international isolation and economic sanctions, were instrumental factors in ending racial segregation and discrimination.[1] Both black and white South African activists such as Steve Biko, Desmond Tutu, Nelson Mandela, Harry Schwarz, and Joe Slovo were involved with various anti-apartheid causes. By the 1980s, there was continuous interplay between violent and non-violent action, and this interplay was a notable feature of resistance against apartheid from 1983 until South Africa's first multiracial elections under a universal franchise in 1994.[6]

A is a group of people who live together and share responsibilities and resources.

Answers

Answer:

A Commune is a group of people who live together and share responsibilities and resources.

Explanation:

A "The communes attempted to equalize income among cooperatives by joining several cooperatives (now called brigades) together; in so doing, a cooperative community with poor land benefited from the wealth of a cooperative community with very fertile land.

There were approximately 53,000 communes in China, 170,000 peasants households in the communes, and 90,000,000 acres of arable land under the control of communes at the height of their existence. Communes have now largely disappeared and been replaced by the household responsibility system. In this system, each family is independently responsible for managing the plots of land it contracted to farm for long periods of time.

Reference: Asia for Educators, Columbia University . “The Commune System (1950s): Asia for Educators: Columbia University.” The Commune System (1950s) | Asia for Educators | Columbia University, 2009

Answer:

commune

Explanation:

9. Which of the following is NOT a good way to fit into the crowd if you decide to go to a party and not drink?

Answers

Answer: C

Explanation: Drink from the punch bowl because it’s probably non-alcoholic

Final answer:

It's not advisable to be defensive or isolating when not drinking at a party. It's also not recommended pretending to drink if you don't want to.

Explanation:

The question is asking which action is not advisable when you decide to go to a party and choose not to drink alcohol. One such behavior that wouldn't be recommended is getting defensive or confrontational if people question your decision not to drink. It's essential to stay calm and communicate your choice in a respectful manner. It's also not advisable to isolate oneself from others due to not drinking. Engage in conversation, participate in other non-drinking activities, and have fun. Also, pretending to drink when you don't want to isn't a good strategy. It's best to be true to your decisions, and real friends will respect your choices.

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Which accurately describes the origin of the Islam religion?

Answers

Answer:

Although its roots go back further, scholars typically date the creation of Islam to the 7th century, making it the youngest of the major world religions. Islam started in Mecca, in modern-day Saudi Arabia, during the time of the prophet Muhammad's life.

Answer:

A man named Muhammad experienced visions from Archangel Gabriel to create Islam.

Explanation:

How are the quran and the sharia different

Answers

Answer:

They have different names, they may look different, they may talk different.

Explanation:

Answer: Sharia law is Islam's legal system. It is derived from both the Koran, Islam's central text, and fatwas - the rulings of Islamic scholars.

Explanation: The Quran recognizes the absolute equality of men and women as human beings and proclaims that they are each other's partners in promoting the common good. Sharia provides women with certain rights that were practically unheard of in the premodern world.

The substances listed on the left side of a chemical equation are the _____.

coefficients

reactants

precipitates

products

Answers

Answer:

The substances listed on the left side of a chemical equation are the reactants

answer = reactants. hope it helped

Teddy Roosevelt was elected to 4 terms as president.

Question 11 options:
True
False

Answers

Answer:

yes he was

Explanation:

Answer:

It is False Teddy Roosevelt was elected to 4 terms as president.

Explanation:

Theodore “Teddy” Roosevelt, was the 26th President of the United States in 1901. He became the youngest President in the Nation's history at the age of 43.

The one who's was elected to four terms as the president was Franklin D. Roosevelt (FDR) in 1932, 1936, 1940, and 1944; As a result of this unprecedented fact, the 22nd Amendment to the US Constitution was ratified to limit all future presidents to two elected terms.

Which phrases describe groundwater? Check all that apply. feeds surface water supplies is the largest supply of freshwater includes wetlands, streams, and lakes is located on Earth’s surface is found in ice sheets and glaciers

Answers

Answer:

Feeds surface water supplies are the most abundant supply of freshwater

Explanation:

The high number of percentage of water consumption is obtained from the ground. It is, therefore, one of the primary natural resources for any living thing, water consumed in different ways from drinking to watering in the garden. Thus, the condition of water is crucial regardless of where it will be used.

Groundwater is one of the valuable resources of water that we use for several activities. The water we drink can also be a valuable agricultural resource and in other sectors for daily activities which generally depend on groundwater to be operational.

Answer:

It A and B

Explanation:

just did it and it is the correct answer

which of the following best describes The spread of communism. in the years immediately following WW11

Answers

The spread of the money around the whole us affected it and they need the money for ww2

Answer:

The number of communist countries increases greatly during the end of 2nd WWII

Explanation:

As the war between the Americans and soviets intensified, the communities were possessed with hysteria and made the nation the red scare. This led to profound effects of the U.S society and government.

There was also analyzing of the federal employees to determine their capability and loyalty to the ruling government and the American committees. However, the climate of tension that surrounded the red scare cooled down and started easing towards the end of the 1950s.

Which appeal is most clearly an example of logos?
A.People who aren't truckers shouldn't dictate policy for truckers.
B.Economic forecasts show that your policies will only help the rich.
C.The best way to help veterans is to provide them with free health care.
D.Don't feel like paying taxes? Try telling that to the victims of a disaster.

Answers

Answer:

Economic forecasts show that your policies will only help the rich.

Explanation:

The appeal which is most clearly an example of logos is B. Economic forecasts show that your policies will only help the rich.

What's an example of economic forecasting?

A high instance is the long-term GDP boom forecast assumption inside the U.S. Tax Cuts and Jobs Act of 2017 that projects a miles smaller financial deficit with the intention to burden destiny generations of Americans—with drastic implications to the financial system—than independent economist estimates.

What are the types of economic forecasting?

strategies of forecasting encompass Econometric models, Consensus forecasts, economic base analysis, Shift-share analysis, input-output model, and the Grinold and Kroner version. See additionally Land use forecasting, Reference magnificence forecasting, Transportation making plans, and Calculating demand Forecast Accuracy.

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The Texas Automobile Insurance Plan Association was established to:

A. Create a database of uninsured drivers

B. Help companies learn about your insurance history

C. Help drivers find the cheapest insurance rates

D. Provide insurance to high-risk drivers

Answers

Answer:

the answer is D

Explanation:

Final answer:

The Texas Automobile Insurance Plan Association was formed to provide insurance to high-risk drivers who are otherwise ineligible for standard auto insurance due to various risk factors.

Explanation:

The Texas Automobile Insurance Plan Association was established mainly to provide insurance to high-risk drivers. These are individuals who are statistically more likely to file an insurance claim due to a variety of factors, including previous accident history, DUIs, or points on their driver's license. Such drivers often have difficulty obtaining regular auto insurance due to these risk factors. The Association therefore acts as a safety net, ensuring that all drivers, irrespective of their risk level, can obtain necessary insurance coverage.

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A monopoly is the control of a market by ____________________________

Question 4 options:

a few dominant firms.


a single producer.


the government.


a foreign trust.

Answers

Answer:

A monopoly is the control of a market by a single producer

Explanation:

In economics, a monopoly whithin a specific market is characterized by having a single producer or seller, this producer faces no competition.

A monopoly doesn't work favorably for consumers, the firm which holds control of the market also has control of the prices and quality of the products, leaving the consumers with no other options.

the factor You observe or measure during an experiment​

Answers

Answer:

Dependent variable

Explanation:

Answer:

The things that are changing in an experiment are called variables. A variable is any factor, trait, or condition that can exist in differing amounts or types. An experiment usually has three kinds of variables: independent, dependent, and controlled.

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Gerrymandering involves drawing districts more fairly based upon its ethnic and social background.

Question 20 options:
True
False

Answers

Answer:

False

Explanation:

Gerrymandering, in U.S. politics, the practice of drawing the boundaries of electoral districts in a way that gives one political party an unfair advantage over its rivals (political or partisan gerrymandering) or that dilutes the voting power of members of ethnic or linguistic minority groups (racial gerrymandering).

False, Gerrymandering is unfair because it purposely excludes voters based ethnicity, social status, and political parties affiliation.

3. Historical Question: What was the layout of the Nazi concentration camp Auschwitz?
a. Source 1: Interview with 80 year-old Holocaust survivor in 1985.
b. Source 2: Map of concentration camp found in Nazi files.
I trust Source
more because

Answers

B:source two
Source two is more reliable as it had been dated back to during the holocaust and the memory of a holocaust survivor at age 80 will be worn.
Final answer:

Auschwitz, a Nazi concentration camp, was made up of three camps: Auschwitz I, II and III. Its layout can be best understood through Source 2, a map from Nazi files, but the personal account from Source 1 (a Holocaust survivor) offers a first-hand perspective of life within the camp.

Explanation:

The layout of the Nazi concentration camp Auschwitz can be best understood through Source 2, the map found in Nazi files. Auschwitz, located in Poland, consisted of three main camps: Auschwitz I, II (Birkenau), and III (Monowitz). Auschwitz I acted as the administrative center and was the site of key atrocities, while Auschwitz II was the largest extermination camp where most deaths occurred, and Auschwitz III was a labor camp where prisoners were subjected to forced labor. It is important to note that both sources should still be utilized for a full understanding as the Holocaust survivor's account in Source 1 can provide a personal and first-hand understanding of life within the camp – an invaluable perspective that complements the factual information derived from Source 2.

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Which TWO statements about the Mississippian Indians are correct?(Choose thetwo correct answers.)


A
They mainly lived in pueblos.
B
They lived in large mound towns.
C
They were largely nomadic.
D
Their villages were ruled by a single king.
E
Their villages were organized as chiefdoms.

Answers

The two statements that are true about the Mississippian Indian are they lived in large mound towns and their villages were organized as chiefdom.  

Answer: Options B and E

Explanation:

The natural setting that the Mississippian Indians got to live on offered them the platform to build mounds. They used these mounds to build houses, temples, burial buildings, etc.

The senior-most and the wisest person (most of the time, a man) in the village was made the chief and had a hierarchy of other ranks of responsible people working under him.

Write a paragraph explaining the ways in which Roman
influence can be seen in our society today. Use details
from the lesson and reading for support.

Answers

Answer:

Roman styles and ideas are evident throughout the world today. Roman building methods and ideas are seen in many modern buildings. Roman artistic ideas (both visual and literary) are still valued and studied today. Concepts from Roman government have been picked up in our current system. The Roman language influences our language and is used in the fields of science and law.

Final answer:

Roman influence can be seen in our society today in architecture, democracy, and language.

Explanation:

The Roman influence can be seen in our society today in several ways. One major area is architecture. Many buildings around the world are modelled after ancient Roman structures, such as government buildings, theatres, and even huge sports arenas. The concept of democracy is another notable Roman influence.

At that time, the Romans had nicely developed a system of government where the citizens of the region had the sole power to elect their leaders, which then served as a foundation for modern democracies. Additionally, Latin, the language spoken by the Romans, has influenced many modern languages, including English, French, and Spanish.

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How to write 12 ten thousands 8 thousands 14 hundreds 7ones In 2013, the employee at Lighthouse Services prepared an annual report for the bank that revealed total revenue in 2012 was $6,000,000. The manager needs the information to apply for a loan to purchase new equipment to maintain the operations at the organization. The report was prepared in accordance with GAAP and the report contained information about the 2012 financial performance at the company.Which of the following describes the role of the employee at Lighthouse Services?A. Board of Director B. CFO C.CEO D.Managerial Accountant E.Financial Accountant Which media access method is used by twisted-pair Ethernet networks? (Please select one of the four options)CSMA/CDToken passingCSMA/CAOFDMA Reason for Jim Crow Laws and The Black codes to end The existence of social norms, both formal and informal, is one of the main things that inform ___________, otherwise known as a way to encourage social conformity.(A) values(B) sanctions(C) social control(D) mores Two 2.0-cm-diameter disks face each other, 1.0 mm apart. They are charged to 8.0 nC . What is the electric field strength between the disks. A proton is shot from the negative disk toward the positive disk. What launch speed must the proton have to just barely reach the positive disk? A parallel-plate capacitor consists of two plates, each with an area of 21 cm2 separated by 3.0 mm. The charge on the capacitor is 9.8 nC . A proton is released from rest next to the positive plate. How long does it take for the proton to reach the negative plate? An ice cube of volume 15 cm^3 and density 917 kg/m^3 is placed in ethyl alcohol of density 811 kg/m^3. What is the buoyant force on the ice? Will it float? Darwins theory of evolution is based on Why was Fort Pillow important in the Civil War?Select the best answer from the choices provided.A. Fort Pillow was the first combat test of African American troops.B. Fort Pillow was where Robert Smalls took the Planter.C. Fort Pillow was the site where the Civil War began.D. Fort Pillow was the site of a famous massacre of African American soldiers. Who was sentenced to death for corrupting the youth of Athens? The x component of vector is -27.3 m and the y component is +43.6 m. (a) What is the magnitude of ? (b) What is the angle between the direction of and the positive direction of x? Rapida Inc. and Click Inc. are two companies that have been manufacturing typewriters for almost 30 years. Due to the reduced demand for typewriters today, both companies' average return on invested capital is approximately 5 percent. The current industry average is 2 percent. In this scenario, Rapida Inc. and Click Inc. most likely havea. competitive advantage over other firms in their industry.b. competitive parity with each other.c. strategic alliance with each other.d. economies of scope instead of economies of scale. Estimate 29.14 x 5.2 One of the trade-offs Tesla faces is between safety and the maximum range someone can drive an all-electric car before having to recharge it. For example, adding steel to a car makes it safer but also heavier, which results in fewer mileage between recharges. Assume that this trade-off is consistent with increasing costs of added safety. Draw a hypothetical production possibilities frontier that Tesla engineers face that show this trade-off. Your grandmother seemed happy when you gave her a smartphone for her birthday. Yet she still doesn't respond to your texts or emails, only your voicemail. Your grandmother is uncomfortable with ____________. Show that the following argument with hypotheses on lines 12 and conclusion on line c isvalid, by supplementing steps using the rules of inference and/or logical equivalences. Clearly label which rule you used in each step.1. p q2. (q r)c. p Let's assume that bacteria doubles every 10 minutes. If a culture begins with exactly30 bacterial cells, how many bacteria will be present after 1 hour?A 960 BacteriaB 1000 BacteriaC 1520 BacteriaD 1920 Bacteria Complete the following using compound future value. (Do not round intermediate calculations. Round your answers to the nearest cent.)what is the amountwhat is the interestTime Principal Rate Compounded Amount Interest4 years $16,900 8% Quarterly $ $ Given the three topics listed below, discuss a visual, verbal, and algebraic way of connecting the concepts:1. The distance formula2. The standard equation of a circle (not centered at the origin)3.The Pythagorean TheoremCan you think of other related mathematics topics that can be extended from these three? Write a 1/2 page not including diagrams.