A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m3 ymin. How fast is the height of the water increasing

Answers

Answer 1

The rate at which the height of the water in this cylindrical tank is increasing is 26.18 m/mn.

How to calculate the volume of a cylinder?

Mathematically, the volume of a cylindrical tank can be calculated by using this formula:

V = πr²h

Where:

h is the height.r is the radius.

Differentiating with respect to h, we have:

dV/dt = πr²(dh/dt)

3 = 3.142 × 5² × dh/dt

3 = 78.55dh/dt

dh/dt = 78.55/3

dh/dt = 26.18 m/mn.

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Related Questions

It is illegal to drive a vehicle while under the influence of ________.

Answers

It is illegal to drive a vehicle while under the influence of Alcohol.

Why it  illegal to drive a vehicle while under the influence of Alcohol?

It is  illegal to drive a vehicle while under the influence of Alcohol because once you take alcohol, it will make someone to be nub , which can make him to loose concentration on the road.

This can cause serious accident to him and other road users, hence it is illegal so as to protect road user.

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In ancient times, athletes, chosen by their city states, came to Olympia from every part of the Greek world. Identify the phrase in bold. verb phrase participial phrase gerund phrase infinitive phrase

Answers

In ancient times, athletes, chosen by their city states, came to Olympia from every part of the Greek world. The bolded part is a participial phrase.

What is a Participial phrase?

These refers to the group of words which contain a participle, modifiers etc and acts as adjectives.

The word 'chosen' is a participle which thereby makes it a participial phrase and is denoted as option B.

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suppose that both firms start off not advertising. If firms act independently, what stratefies will they end up choosing

Answers

Suppose that both firms start off not advertising. If firms act independently, what strategies will they end up choosing (option B) - Both firms will advertise)

What is an advert?

An advert is a mass or public media message with is designed to convince people to but into a product, service or an idea.

Hence, it is correct to state rival firms will end up advertising.

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Full Question:
Suppose that both firms start off not advertising. If firms act independently, what strategies will they end up choosing?

A) fizzo will choose not to advertise and Pop Hop will choose to advertise.

B) Both firms will advertise

C) Both firms will choose NOT to advertise

D) Fizzo will chose to advertise and Pop will choosenot to advertise.

Currently, the top export (in total dollar value) of Texas is

Answers

Currently, the top export of Texas is Petroleum and coal-based products are currently the top exports in Texas. This is further explained below.

What is Petroleum?

Generally, Products derived from petroleum and coal continue to lead Texas in terms of total export value.

In conclusion, Currently, Texas is the leading exporter of petroleum and coal-based goods.

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Public reaction to prohibition demonstrated which of the following

Answers

Public reaction to prohibition in the United States of America demonstrated: C. an increased tension between conservative beliefs and modern beliefs.

What is prohibition?

Prohibition can be defined as the 18th Amendment to the Constitution of the United States of America which banned the nationwide manufacture, transportation, and sale of alcoholic drinks (intoxicating liquors) from 1920 to 1933.

Based on historical records and information, we can infer and logically deduce that the public reaction to the nationwide manufacture, transportation, and sale of alcoholic drinks (prohibition) in the United States of America demonstrated an increased tension between conservative beliefs and modern beliefs such as liberals, Protestants, and Progressives.

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Complete Question:

Public reaction to prohibition demonstrated which of the following?

A. an understanding that government leaders are generally corrupt

B. a decreased focus on protecting citizens' civil liberties

C. an increased tension between conservative beliefs and modern beliefs

D. a movement toward increased support of laws regulating moral actions

Which of the following is a quantitative model used to budget advertising expenditures

Answers

This is a quantitative model used to budget advertising expenditures in marketing research:

Computer simulation model.

This means that the correct option is:

Option C.

What are computer simulation models and what are they used for in marketing reasearch?

This exercise is related to marketing and communication research techniques.

In this activity, you have to select the correct option from different definitions related to marketing research and choose the one that is a model used to budget advertising expenditures.

A computer simulation model, which the correct option, is a quantitative model that is used to know the contribution of advertising expenditures on sales responses.

These quantitative computer simulation models use statistical techniques to determine the contribution of advertising expenditures.

I was able to find the complete instructions for the exercise with its options online:

competitive parity modelpercentage-of-sales modelROI budgeting modelarbitrary allocation model

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Monetary policy faces a recognition lag and an operational lag, but avoids the

Answers

Even though monetary policy may face the recognition and operational lag, it gets to avoid the administrative lag.

What is the administrative lag?

This refers to the delay in implementing policy thanks to bureaucratic bottlenecks such as the need to pass new laws that affect things like tax and spending.

Monetary policy is carried out solely by the Federal Reserve which means that they could implement it without having to wait for new laws to be passed thereby avoiding the administrative lag.

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Katherine should proofread the recommendation report, and you should finish the slide deck for the presentation.

Answers

Katherine should proofread the recommendation report, and you should finish the slide deck for the presentation. This is an example of a compound sentence.

What is a presentation?

It should be noted that a presentation simply means an information that's conveyed to the audience.

In this case, a compound sentence us a sentence that has two independent clauses.

Therefore, Katherine should proofread the recommendation report, and you should finish the slide deck for the presentation. This is an example of a compound sentence.

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Complete question

Katherine should proofread the recommendation report, and you should finish the slide deck for the presentation. What type of sentence is this?

The graph represents a hypothetical picture of the U.S. economy. The Federal Reserve (Fed) determines that the economy must be stimulated. Assume that the Fed will use open market operations, the reserve ratio is 0.1, and the desired change in the money supply is an increase of $650 billion.

Answers

The course of action that would be used to achieve this goal would be

Buying $65 billion of government bonds

How to solve for the solution

Given that the feds are wanting to stimulate the economy, there is going to be a right shift in the aggregate demand.

There would be an increase in money supply given that the feds are going to buy bonds.

The money multiplier

1/0.1= 10

Change in reserve

= $650 billion/10= $65 billion

Hence we conclude that the way of achieving the goal would be by Buying $65 billion of government bonds

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The employment forecast for well-trained medical insurance and coding specialists is/are

Answers

The employment forecast for well trained medical insurance and coding specialists is increasing.

What is the employment forecast?

Insurance and Coding Specialists ae those that provide medical billing and coding services to physician's offices and medical specialty practices for health care providers to be paid for services rendered. Insurance and Coding Specialists prepare and submit claims to insurance companies and prepare and send statements to patients.

These codes by these specialists are very vital for insurance billing purposes and one of the primary roles is to give a unique code to each kind of treatment and use these codes for billing, research and recordkeeping.

Thus, the employment forecast for well trained medical insurance and coding specialists is increasing because there is high demand for them world wide.

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erik erickson Psychosocial Development theory

Answers

Erik Erickson's Psychosocial Development theory is a model that states people progress through distinct development steps in a function of social crisis.

What is the Psychosocial Development theory?

The Psychosocial Development theory was proposed by Erik Erickson in order to evidence the stages of development of individuals in a society.

Erickson's Psychosocial Development Theory is based on different stages of development which include, among others, preschool stage, scholar stage, adolescence, adulthood, etc.

In conclusion, Erik Erickson's Psychosocial Development theory is a model that states people progress through distinct development steps in a function of social crisis.

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who was the architect of the cathedral of florence

Answers

Arnolfo di Cambio was the architect of the cathedral of Florence.

What is architecture?

Architecture refers to an art that involves the process of planning, designing, developing, and construction of a b or other structures such as the cathedral of Florence.

Based on historical records and information, we can logically deduce that Arnolfo di Cambio was the architect of the cathedral of Florence.

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The best predictor of your success in the physical activity professions is probably the level of commitment you make in preparing yourself to be the most knowledgeable and highly skilled practitioner possible.

Answers

The best predictor of success in the physical activity professions is the level of commitment in preparing to be the most knowledgeable and highly skilled practitioner possible is a true statement.

What is Commitment?

This refers to a high degree of dedication to a particular cause or action in his context.

When an individual is committed then more knowledge will be gained thereby making the individual successful.

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Possible explanations for the income differences between men and women include all but which one of the following

Answers

Men's earnings are largely viewed as supplemental to women's. D would be the correct option.

What is gender pay gap?

It is the deliberate reduction in the pay of women as opposed to men in the same job position.

The gender pay gap is justified by a couple of arguments. These include:

Women being employed in lower-paying jobs as opposed to men.Women sacrificing career growth in favor of raising children.Women asking for lesser payment during the selection phase

Thus, the earnings of men being viewed as supplemental to women's is not one of the arguments used in justifying the gender pay gap.

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a) women are disproportionately employed in lower-paying, lower-status occupations

b) Women leave the labor market to care for children and elderly parents and then re-enter it

c) women underestimate their worth to employers and ask for less than their male counterparts

d) Men's earnings are largely viewed as supplemental to women's

Label the structures of the pharynx based on the hints provided.

Answers

The structures of the pharynx can be labeled as nasopharynx, oropharynx, and laryngopharynx.

What is the function of these structures?The nasopharynx is responsible for communication with the nasal cavity.The oropharynx is responsible for communication with the mouth.The laryngopharynx is responsible for the communication between the respiratory system and the opening of the esophagus.

The pharynx is an organ that is part of the respiratory system and digestive systems. This organ allows the passage of air and ingested food into the body, as it directs these elements to the regions of the body where they are needed.

In general, we can say that the function of the pharynx is to make the connection between the nose, mouth, larynx, and esophagus.

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Which best describes the tempo of this excerpt

Answers

The tempo of the excerpt can best be described as Adagio.

What is an adagio tempo?

This refers to when the tempo of a musical piece is done slowly or rather in slow time.

This enables for powerful music as it feels like every part of the musical piece by Maria Szymanowska is heard individually.

Rest of the question talks about an excerpt from a music piece by Maria Szymanowska.

The music piece is a Mozart Piano Concerto.

Options for this question are:

FortelargoAdagioAllegro

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During a sales presentation to Ms. Daley for a Medicare Advantage plan that has a 5-star rating in customer service and care coordination

Answers

The correct statement to say to Ms. Daley is that Medicare Advantage plan received a 5-star rating in customer service and care coordination with an overall performance rating of 4-stars.

What is a sales presentation?

A sales presentation can be defined as an act that involves the process of speaking to customers and potential customers, so as to formally share and explain information about a product such as a health care plan, Medicare Advantage plan, etc, especially for the purpose of proffering a solution to a particular problem.

What is a health care plan?

A health care plan refers to a medical plan for the medical care of a particular patient which covers a part or whole risk and cost of the medical expenses incurred such as Medicare.

In this scenario, we can reasonably infer and logically conclude that the correct statement to say to Ms. Daley is that Medicare Advantage plan received a 5-star rating in customer service and care coordination with an overall performance rating of 4-stars.

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Complete Question:

During a sales presentation to Ms. Daley for a Medicare Advantage plan that has a 5-star rating in customer service and care coordination, and received an overall plan performance rating of a 4-star, which of the following would be the correct statement to say to her?

If (5+3i)(-2-4i)=a+bi, what is a+b for i=square root -1?
A. -48
B. -24
C. -20
D. -4

Answers

Answer:

B. -24

Explanation:

Step 1: Expand

[tex](5+3i)(-2-4i)[/tex] expands to [tex]-10 -20i -6i - 12i^2[/tex]

i is the square root of -1, so the [tex]i^2[/tex] will simplify further and make the equation:[tex]-10 -20i-6i+12[/tex].

This can be simplified because there are 2 constants, -10 and +12, as well as 2 coefficients to the same variable.

So, the equation becomes:

[tex]2-26i[/tex]

Step 2: Answer question

The question asks of you, what is a+b from the parent expression a+bi.

b is the coefficient that is linked with the variable i.

a has no variable, so it must be the constant.

Here, the value of the "b" coefficient is -26. And the value of the constant is positive 2.

So we have to plug these 2 values into the equation a+b:

[tex]2+(-26)[/tex]

This solves out as, -24

So, the answer to this question is B.

The value of a + b for i = square root -1 is -24 (Option B)

Data obtained from the question(5 + 3i)(-2 - 4i) = a + bii = √-1Value of a + b =?

How to determine the value of a + b

To determine the value of a + b, we'll begin by obtaining the value of a and b. This can be obtained as illustrated below

(5 + 3i)(-2 - 4i) = a + bi

Expand

5(-2 - 4i) + 3i(-2 - 4i) = a + bi

-10 - 20i - 6i - 12i² = a + bi

-10 - 26i - 12i² = a + bi

But

i = √-1

i² = -1

Thus, we have:

-10 - 26i - 12(-1) = a + bi

-10 - 26i + 12 = a + bi

-10 + 12 - 26i = a + bi

2 - 26i = a + bi

From the above,

a = 2b = -26

Therefore,

a + b = 2 + (-26)

a + b = 2 - 26

a + b = -24

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Many people like to hold some of their assets as it is the most liquid of all assets, and there is no risk of capital loss.quzilet

Answers

Many people like to hold some of their cash on hand is the most liquid asset of all assets and there is no risk of capital loss.

What is a liquid asset?

Refers to assets that can be exchanged for cash, simply and quickly, such as stocks and bonds. Cash on hand is considered the most liquid of all assets because it is accessible more quickly than other assets, through a withdrawal, for example. So, cash on hand has:

Market liquidityAccounting liquidity

The liquidity of an asset, then, is determined by the speed and high availability with which the asset can be converted into cash, without losing market value due to any oscillation or inherent risks in the financial market.

Therefore, cash on hand is the most liquid asset of all assets and is not subject to market fluctuations, being one of the most used asset options by people, due to the security and high availability with which it can be obtained.

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Which of the following is a recommended practice for sharps containers

Answers

Sharps containers not being emptied until they are completely full is regarded as the recommended practice for their storage under any type of condition.

What is a Container?

This refers to a type of enclosure which is used to store or preserve different types of items such as food, sharp etc. This helps to prevent the substances from having direct contact with the environment as this helps to prevent the spread or growth of pathogens present within the area or axis.

The container must be full before being emptied to prevent them from falling out which may lead to different types of injuries. Their adequate storage also ensures that they are disposed properly so as to prevent contamination of individuals by already infected ones in this type of scenario.

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james travels for business and is always worried

Answers

A type of device which will ensure that James's laptop won't  be stolen while he travels is a: D) Cable lock.

What is a laptop?

A laptop can be defined as a small, portable type of computer that is designed and developed by embedding both a mousepad and keyboard on it.

What is a cable lock?

A cable lock can be defined as a type of device that comprises flexible cables which can be wrapped around equipment such as a laptop, and an anchor point and then locked with a key, so as to prevent theft or any form of unauthorized use.

In this scenario, we can infer and logically deduce that a cable lock is a type of device which will ensure that James's laptop won't  be stolen while he travels.

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Complete Question:

James travels for business and is always worried that his laptop will be taken from his room.

Which type of device will ensure that James's laptop will not be stolen while he travels?

A) Server lock

B) USB lock

C) Padlock

D) Cable lock

The buried verb phrase engage in evaluation can be revised to .

Answers

The buried verb phrase engage in evaluation can be revised to evaluate.

What is a buried verb phrase?

A buried verb phrase is a textual expression where a verb is hidden in a noun phrase.

A buried verb phrase may result very useful to substitute a verb that is able to enlarge a sentence, thereby losing sense.

In conclusion, the buried verb phrase engage in evaluation can be revised to evaluate.

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The nurse notes an infant client with tetralogy of Fallot developed cyanosis and applies supplemental oxygen. What assessment finding should the nurse document as evidence of a positive response to oxygen therapy

Answers

An assessment finding which the nurse should document as evidence of a positive response of this infant client to oxygen therapy is decreased agitation and restlessness.

Who is a nurse?

A nurse is a professional who's been trained in a medical institution and licensed to perform any of the following tasks and activities in a hospital:

Promoting hygienic behaviors among patients.Providing care for sick people, even when they are resistive.Providing care for an injured patient.

Generally, an assessment finding which the nurse should document as evidence of a positive response of this infant client to oxygen therapy is decreased agitation and restlessness.

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how long can you be in europe as a tourist

Answers

Explanation:

You are allowed to stay in Europe (more specifically Schengen Area with passport or visa) for 3 months in any 6-month time period.

Which of the following is used to estimate the age of subadults analysis of the epiphyseal union

Answers

Dental attrition can be used to estimate the age of subadults analysis of the epiphyseal union

What is epiphyseal union?

Epiphyseal union can simply be defined as the secondary ossification of bone in juveniles and primary means of estimating age of subadult post-cranial remains.

Below are the four stages used in the analysis of epiphyseal union:

Nonunion with no epiphysesNonunion with separate epiphyses Partial unionComplete union.

So therefore, dental attrition can be used to estimate the age of subadults analysis of the epiphyseal union

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which intervention would the nurse add to the plan of care for a client who engages in ritualistic

Answers

An intervention which this nurse should add to the plan of care for a client who engages in ritualistic behavior is: D. help the client understand that the behavior is caused by maladaptive coping with increased anxiety.

Who is a nurse?

A nurse can be defined as a professional who has been trained in a medical institution and licensed to perform the following tasks and activities in a hospital:

Promoting hygienic behaviors among clients or patients.Providing care for sick people (client).Providing care for an injured client or patient.Perform routine checks on some medical instruments.Providing an intervention to client issues.

In this scenario, we can infer and logically conclude that an intervention which this nurse should add to the plan of care for a client who engages in ritualistic behavior is helping him or her understand that the behavior is typically caused due to maladaptive coping with increased anxiety.

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Complete Question:

Which intervention would the nurse add to the plan of care for a client who engages in ritualistic behavior?

A. Redirect the client's energy into activities to help others.

B. Teach the client that the behavior is not serving a realistic purpose.

C. Administer antianxiety medications that block out the memory of internal fears.

D. Help the client understand that the behavior is caused by maladaptive coping with increased anxiety.

Which of the following strategies will simplify the determination of whether convertible securities are dilutive or antidilutive to EPS

Answers

A business strategy which will simplify the determination of whether convertible securities are dilutive or antidilutive to EPS is: Comparing the incremental effect of the conversion.

What is EPS?

EPS is an acronym for earnings per share and it can be defined as the portion of a business firm's profit that is allocated per outstanding share of common stock of the business firm, so as to serve as a profitability indicator.

This ultimately implies that, a business strategy which will simplify the determination of whether convertible securities are dilutive or antidilutive to earnings per share (EPS) is comparing the incremental effect of this conversion.

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Complete Question:

Which of the following strategies will simplify the determination of whether convertible securities are dilutive or antidilutive to EPS?

Assume all convertible securities are dilutive.

Calculating EPS, including each possible combination of convertible securities.

Comparing the incremental effect of the conversion.

Which of the following was a policy created by Alexander Hamilton

Answers

The policy that was created by Alexander Hamilton was the sale of national bank stock.

Who was Alexander Hamilton?

The man Alexander Hamilton is regarded as one of the founding fathers of the United States of America owing to the role that he played during and after the revolutionary war.

Now, the policy that was created by Alexander Hamilton was the sale of national bank stock.

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Missing parts;

Which of the following was a policy created by Alexander Hamilton?

A. Sold of national bank stock

B. Ended certain diplomatic missions

C. Gave more federal offices to Democratic-Republican

D. Moving the capital to the District of Columbia

Two retailers compete on costs and the ambience of their retail stores. They are identical in all other dimensions of customer utility. Retailer A is cheaper than retailer B. Retailer A also has the better ambience. Does this mean that retailer A is on the efficient frontier

Answers

Yes the retailer A is the efficient Frontier.

How  is retailer A the efficient frontier?

When two retailers are in a competition based on costs and ambience, they would be identical. The retailer called A is the cheaper person than B. This means he has the better ambience hence A is the more efficient frontier.

The portfolios that are known to be at the bottom or below the frontier are those that would be termed sub optimal. The reason is because there are no sufficient returns that exists for the level of risks that they may carry.

Because retailer A is cheaper and it has better ambience than we are able to know that the efficient frontier is that of retailer A out of these two.

The importance is that it helps the retailers to be aware of the potential risks that their portfolios and the results that they carry.

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is the process where cells acquire specialized structures and functions, like team members playing different positions.

Answers

Cellular differentiation is the process where cells acquire specialized structures and functions, like team members playing different positions.

What is Cell differentiation?

This is the process in which young cells mature and develop into a specialized one based on certain features.

A typical example is the embryonic stem cell which when  mature form different types of cells such as cardiomyocytes, neurons etc which have their unique functions in the body system due to their different genetic composition.

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