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

the consolations of philosophy sat answers

Answers

The Consolations of Philosophy seeks to disprove the concept that excellent philosophy must be unimportant, and brings together six great philosophers who were persuaded of the capacity of philosophical knowledge to affect our lives in practical ways.

Who are the six great thinkers referred to above?

The six great thinkers are as follows:

SenecaEpicurusSocratesNietzscheMontaigne, and Schopenhauer

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Which of the following is true about RNA

Answers

One of the bases of DNA is replaced by Uracil. B is the correct option.

Features of RNARNA has ribose sugars, unlike DNA which has deoxyribose sugarsIt contains Uracil instead of Thymine in DNARNA is single-stranded, unlike DNA which is double-strandedThere are 3 forms, tRNA, mRNA, and rRNA.

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A It contains adenine paired to thymine

B One of the bases from DNA is replaced by uracil

C It contains the sugar deoxyribose

D Its nucleotides contain twice as many phosphate groups as DNAs nucleotides

what is the purpose of baptism protestant

Answers

Answer:

in Protestantism baptism is a rite of entry of welcome Into the life of church community.

A nurse is providing care to a postpartum woman. The woman gave birth vaginally at 2 a.m. The nurse would anticipate the need to catheterize the client if she does not void by which time

Answers

She would Catheterize by 9:00 am

Which of the following lot sizing rules bases the order quantity on a standard-size container or pallet load

Answers

A lot sizing rule which bases the order quantity on a standard-size container or pallet load is: b. The fixed-order quantity rule.

What is the fixed-order quantity rule?

The fixed-order quantity rule can be defined as a type of lot sizing rule which is designed and developed to be applied mostly when setup or order costs for a standard-size container are high.

In this context, we can infer and logically deduce that a lot sizing rule which bases the order quantity on a standard-size container or pallet load is referred to as the fixed-order quantity rule.

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Complete Question:

Which of the following lot sizing rules bases the order quantity on a standard-size container or pallet load?

a. The lot-for-lot rule

b. The fixed-order quantity rule

c. The periodic-order quantity rule

d. The gross requirements rule

which is not a task usually associated with activity-based costing (abc)

Answers

The application of a single cost rate across processes is not a task associated with activity-based costing.

What is activity-based costing?

The expression 'activity-based costing' makes reference to the methods aimed at calculating costs.

This strategy requires the estimation of overhead costs, which may include, for example, the salary of employees.

In conclusion, the application of a single cost rate across processes is not a task associated with activity-based costing.

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The CSS Grid Layout is intended for ____________.

Answers

Answer:

aligning items in columns and rows, allowing developers to easily control the rendering and appearance of large layouts and whole pages meant for the desktop, tablet, and smartphone displays.

Explanation:

For each blood group, indicate the antigens present on the RBCs and the antibodies present in the blood plasma.

Answers

What is AB0 System?

The AB0 System represents an important blood group in determining compatibility between blood types.

The discovery of the AB0 system took place in 1901 and is due to the physician Karl Landsteiner (1868 - 1943). He and his team noticed that when some types of blood were mixed together, the red blood cells agglutinate, which is called blood incompatibility.

Thus, it was verified that there were some blood types, which were called A, B, AB and 0. Hence, the ABO system emerged.

The determination of blood types is a genetic condition, constituting a case of multiple alleles, determined by three alleles: IA, IB, i.

With that being said, in blood type A there are A antigens and antibodies for B antigens. In type B, is the opposite there are B antigens and antibodies for A antigens. In type 0, there are no antigens and there are  antibodies for both antigens A and B. In type AB, There are both A and B antigens and there are no antibodies.

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Which of the following can neutralize the effects of free radicals before they cause much damage

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Antioxidants work by donating some of their own electrons in order to cancel out the effects of free radicals. This is further explained below.

What are Antioxidants?

Generally, a material that is capable of inhibiting oxidation, particularly one that is used to prevent the degradation of food goods that have been kept.

In conclusion, Antioxidants eliminate free radicals by donating some of their own electrons in order to do so.

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What is the approximate range of a personal area network

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The approximate range of a personal area network (PAN) is equal to 33 feet (10 meters).

What is a PAN?

PAN is an abbreviation for personal area network and it can be defined as a type of telecommunication network that covers a very short range of geographical locations (regions) such as buildings, especially for the purpose of establishing communication between different users that are resident within the same space or environment.

This ultimately implies that, personal area network (PAN) is a computer network that is designed and developed to only connect computers and network devices that are within the range of an individual (person).

In Computer technology and networking, we can infer and logically deduce that the approximate range of a personal area network (PAN) is equal to 33 feet (10 meters).

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Complete the following table by indicating at each price whether there is a shortage or surplus in the market, the amount of that shortage or surplus, and whether this places upward or downward pressure on prices.

Answers

When the price is at $42 per keyboard, there is a surplus in the market. At $42, there is a surplus of 300 units of keyboards in the market. The pressure is downward. When demand is low, there is a pressure for the prices to be reduced.

What is the market situation at $18?

At $18, there is a shortage of 200 keyboards. The pressure is upwards. Basic demand and supply indicates that when the demand is above the equilibrium point, the pressure for price to increase is high.

It is to be noted that the equilibrium point is the basis for the above rationalization. The equilibrium point is the price-point at which demand equals supply.

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Full Question:

The following graph shows the monthly demand and supply curves in the market for keyboards.

A) Use the graph input tool to help you answer the following questions. Enter an amount into the Price field to see the quantity demanded and quantity supplied at that price.

B) The equilibrium price in this market is ________ per keyboard, and the equilibrium quantity is ____________ keyboards bought and sold per month.

Complete the following table by indicating at each price whether there is a shortage or surplus in the market, the amount of that shortage or surplus, and whether this places upward or downward pressure on prices.

Also see the attached image.

A patient domiciled in State A sued a surgeon domiciled in State B in a federal court in State A, alleging claims for malpractice. The surgeon moved to dismiss the action for lack of personal jurisdiction. The court denied the motion and set discovery cutoff and trial dates.

Answers

The court denied the motion and set discovery cutoff and trial dates. because there has not been a final judgment entered in the case. This is further explained below.

What is the case?

Generally, a specific case of a certain circumstance; is a happening that serves as an example of anything.

In conclusion, The request was refused, and trial dates and deadlines for discovery were established. In light of the lack of a definitive ruling in the matter.

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thor the dark world the complete screenplay

Answers

These are some characteristics of the screenplay of Thor The Dark World written by Christopher Yost, Christopher Markus and Stephen McFeely:

Thor: The Dark World screenplay is about how Jane Foster awaits the return of Thor after two years of not seeing each other. Both of them discover something that makes Thor return to the Earth at the same time as Jane reappears (she had been previously su c ked into a wormhole).

What is Thor The Dark World and what are its characteristics?

Thor The Dark World is a film that was released in 2013. It is the sequel to Thor (first Thor movie), which was released in 2011, and also the eighth movie of the Marvel Cinematic Universe.

It was directed by Alan Taylor and the screenplay was written by  Christopher Yost, Christopher Markus and Stephen McFeely.

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Richard is a very social person. He enjoys talking to people and makes friends effortlessly. Which of the following personality traits does he display

Answers

The type of personality that Richard may be displaying is extroversion.

Who is an extrovert?

This is the term that is used to classify the personality type where the person is known to be easy going and outspoken.

This person is easily seen out and they are known to make friends very easily due to their nature, they would prefer to going out to staying indoors

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A page with a mismatch between the location of the page and the rating location; for example, an English (UK) page for an English (US) rating task.

Answers

A page with a mismatch between the location of the page and the rating location; for example, an English (UK) page for an English (US) rating task is known to be a false statement.

What is the term mismatch?

To mismatch things or people is a term that connote that one has to put two or more things or people together although they are not alike, neither are they similar or they do not go together well.

Note that this is also seen as the act of deliberately mismatching things of clothing, opponents and others.

Therefore, A page with a mismatch between the location of the page and the rating location; for example, an English (UK) page for an English (US) rating task is known to be a false statement because it is mnot correct.

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which skin finding during palpation of the extremities is concerning to the nurse performing an assessment on an older patient with congestive heart failure

Answers

The skin finding that is concerning to the nurse in an older patient with heart failure during palpation of the extremities is marked dependent pitting edema.

What is pitting edema?

Pitting edema is a health problem associated with the excess fluid in some tissue of the body.

Pitting edema may lead to tissue inflammation and swelling, especially in the extremities (legs and/or feet).

In conclusion, the skin finding that is concerning to the nurse in an older patient with heart failure during palpation of the extremities is marked dependent pitting edema.

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Determine which of the items below would show up on a monthly bank statement. (Check all that apply.)

Answers

Some of the items that would show up in a monthly bank statement are all of the items given which include:

Checks and other debits decreasing the account during the periodBeginning-of-period balance in the accountDeposits and other credits increasing the account during the periodEnd-of-period balance in the accountWhat does a bank statement show?

A bank statement is a record of all the transactions that have affected the account balance of a certain bank account owned by a person or an entity. It begins with the beginning of period balance.

It then shows the checks and debits that reduce the account's balance in a period as well as the deposits and credits that increase the balance. It then concludes with an end of period balance.

Options for this question were:

1. Checks and other debits decreasing the account during the period

2. Beginning-of-period balance in the account

3, Deposits and other credits increasing the account during the period

4. End-of-period balance in the account

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What term refers to the ability of a test to produce consistent and repeatable results

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Reliability refers to the ability of a test to produce consistent and repeatable results.

What is the reliability of a test?

This is the term that simply means consistency. What this means is that if the test is run over and over again the result would remain unchanged.

It is one attribute that a good test result is supposed to have while carrying out research. Different raters of the test are supposed to have the same consistent result in the test.

One of the test of a good research is that it is reliable. What this tells us is that the result from the test using the same data and approach would still remain the same even though the test was carried out by other people.

We can conclude by saying that reliability refers to the ability of a test to produce consistent and repeatable results.

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A single-price monopolist is a monopolist that sells each unit of its output for the same price to all its customers. Refer to Exhibit 1. A single-price monopolist earns a total profit of __________ when it produces and sells 20 units of its good.

Answers

From the information provided, A single-price monopolist earns a total profit of $80 when it produces and sells 20 units of its good. See the attached for more information.

How do we arrive at $80?

Total profit  = revenue - cost

Revenue  = price x number of units sold

Revenue  at 20 units  =

20  x9 = $180

Given that Total cost at 20 units is $100, thus,
Total Profit  = 180 - 100

= $80.

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The nurse notes that the electrical cord on an IV infusion pump is cracked. Which action by the nurse is best

Answers

Since the electrical cord on an IV infusion pump is cracked, an action by the nurse which is best is to:  4) clearly label the pump and send it for repair.

Who is a nurse?

A nurse refers to 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 patients.Providing care for sick people.Providing care for an injured patient.Perform routine checks on some medical instruments.

In this scenario, we can infer and logically conclude that an action by the nurse which is best is clearly labeling the cracked IV infusion pump and sending it for repair.

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Complete Question:

The nurse notes that the electrical cord on an IV infusion pump is cracked. Which action by the nurse is best?

1) Continue to monitor the pump to see if the crack worsens.

2) Place the pump back on the utility room shelf.

3) A small crack poses no danger so continue using the pump.

4) Clearly label the pump and send it for repair.

__________ is an intervention that changes the label or evaluation applied to some behavioral characteristic.

Answers

The intervention that changes the label or evaluation applied to some behavioral characteristic is:

ReframingWhat is reframing?

Reframing refers to the shift in the method of evaluating a behavior. The person who applies this sort of intervention is able to understand a psychological defect from another viewpoint.

It is also known as cognitive reframing. Some conditions and relationships can be analyzed with this technique.

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Fill in the blank: In order to determine when you should deliver certain content to your audience, you need to understand _____.

Answers

In order to determine when you should deliver certain content to your audience, you need to understand:

Your buyer's journey

What is your Buyer's Journey?

The buyer's journey refers to all the stages that customers often pass before they end up purchasing a product. It can even begin from the promotional articles about the business that such buyers go through.

When they get to the company's website, everything about the business ought to feed them with information about the business. In this manner, they will be able to make certain purchasing decisions.

All businessmen and women need to understand their buyer's journey. This understanding will help them to know when they should deliver certain contain that will make their customers interested in their offerings.

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Although Netflix doesn't produce movies itself, it plays a major role in getting movies from producers to final consumers. Netflix is performing the role of a

Answers

The role that is played by Netflix in getting the movies from producers to final consumers is the role of a marketing intermediary. Option B

What is Netflix?

Netflix has become the world's leading platform when it comes to letting out movies even though they do not produce moves themselves.

The role that is played by Netflix in getting the movies from producers to final consumers is the role of a marketing intermediary.

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Missing parts;

Although Netflix doesn't produce movies itself, it plays a major role in getting movies from producers to final consumers. Netflix is performing the role of a

A. freight forwarder.

B. marketing intermediary.

C. package applicator.

D. logistics analyst.

E. supply chain specialist.

How long will it take for 475 mg of a sample of radium-225, which has a half-life of about 15 days, to decay to 30 mg

Answers

Answer:

60 days

Explanation:

Half-life is the amount of time it takes half of a substance to decay away.

Guess and Check

One method for solving half-life problems like this is to guess and check. To do this, we can continue to divide 475mg by 2 until we get to 30mg.

475 ÷ 2 = 237.5237.5 ÷ 2 = 118.75118.75 ÷ 2 = 59.37559.375 ÷ 2 = 29.6875

As seen here, it takes approximately 4 half-lives for this sample of Ra-225 to decay to 30mg. Now, we can multiply 4 by the length of the half-life, 15 days.

4 * 15 = 60 days.

Fractions

Another way to solve this is to use fractions.

30 is about 1/16 of 47516 is equivalent to [tex]2^{4}[/tex].

This means that it takes 4 half-lives for 475mg to decay to 30mg. Using the same method above, we can tell that 4 half-lives are 60 days.

Important Note

In this question, I rounded occasionally. So, not all of the values are exact, but they are all very close.

Which of the following is a technique to improve internal validity

Answers

The technique to improve internal validity is D) Addition of a control group.

What is internal validity?

Internal validity  serves as the  study  which bring about the establishment of a trustworthy cause-and-effect relationship  that can be found in treatment and an outcome.

it should be noted that  Internal validity also helps to eliminate alternative explanations , hence, The technique to improve internal validity is D) Addition of a control group.

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COMPLETE QUESTOIN:

Which of the following is a technique to improve internal validity ____________?

A) Experimenter expectancy

B) Participant bias

C) Use of a confederate

D) Addition of a control group

At the beginning of the 20th century, the leading cause of death in the U.S. was _______________.

Answers

At the beginning of the 20th century, the leading cause of death in the U.S. was infectious diseases.

What are infectious diseases?

Infectious diseases are any type of disease that can be transmitted by suitable hosts and vectors, which are caused by bacteria and viruses.

Infectious diseases are well known to produce epidemics and pandemics and vaccination helped to fight against them.

Infectious diseases were the main cause of death around the world (not only in the USA), but now we are able to fight against transmissible diseases by using the latest technological advancements.

In conclusion, at the beginning of the 20th century, the leading cause of death in the U.S. was infectious diseases.

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Teflon is a type of Select one: a. nylon b. PVC c. elastomer d. polymer e. synthetic rubber

Answers

Basically, Teflon is simply a type of d. polymer.

What is Teflon?

Teflon can be defined as a tough, insoluble synthetic polymer (resin) that is typically manufactured through the polymerization of tetrafluoroethylene and it's primarily used to make non-stick coatings in cooking utensils. Also, it is used in making seals and bearings for automobile vehicles.

In this context, we can infer and logically deduce that Teflon is simply a type of polymer, synthetic polymer or additional polymer in industrial chemistry.

In conclusion, it is very important to note that it is completely false and incorrect to say that Teflon is simply a type of:

Nylon.PVCElastomer.Synthetic rubber

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Mrs. Huggins was prescribed Ciprofloxacin to treat her cystitis. What type of treatment was prescribed to the patient

Answers

The type of treatment was prescribed to the patient is known to be a c-dif  treatment.

what is c-dif?

This is known to be a kind of gram positive and a spore forming bacillus and it is said to be treated with Ciprofloxacin that is known to hinder bacterial dna gyrase and topoisomerase II.

Hence in the case above, The type of treatment was prescribed to the patient is known to be a c-dif  treatment.

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after finishing a sprint tawanda experiences painful cramps

Answers

Her muscle cramps are most likely due to a temporary deficit of; Adenosine triphosphate (ATP)

What are the causes of Cramps?

The potential causes of cramp could be because of dehydration, low levels of certain minerals (magnesium, potassium, calcium, and sodium, although the evidence has been mixed), and reduced blood flow through muscles attendant in prolonged sitting or lying down.

Now, in this Tawanda's case, we see that it is more like a pain to her calf muscles and as such we can say that the cause is from a deficit of ATP because muscle relaxation is an adenosine triphosphate (ATP)-dependent active process, actin and myosin chains do not disengage, causing an electrically silent cramp.

Thus, from the above we can conclude that her muscle cramps are most likely due to a temporary deficit of; Adenosine triphosphate (ATP)

Complete question is;

After Tawanda finishes a sprint and suffers great pain in her calf muscles. Her muscle cramps are most likely due to a temporary deficit of?

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Which of the following statements about the impact of a company's competitive efforts in a region on its regional market share and number of branded pairs sold is false

Answers

The statement about the impact of a company's competitive efforts in a region on its regional market share and number of branded pairs sold that is false is; Option B

What is the impact of a product on the market?

Looking at the give other options, the only one that does not help a company in its efforts to increase regional market share and number of branded pairs sold is option B.

The reason option B is false is that in all the other options, we observe that there is celebrity endorsement which helps significantly in sales. Thus, offering variety and styles helps in sales as well as Band reputation which is also very key in increasing sales. Finally, If a company has bad quality rating then that would have an adverse affect on its sales.

The missing options are;

A. companies with more influential celebrity lineups in a region enjoy a competitive advantage in attracting buyers to purchase their brand in either retail stores or online as compared to regional rivals with less influential celebrity endorsements (or no celebrity endorsements).

B. a footwear-maker achieves the biggest possible styling/quality-based competitive advantage in a given region when its branded footwear has a higher S/Q rating than any other company in the region.

C. a company's pairs sold and market share outcomes in a region are positively impacted when the number of models/styles it offers for sale in the region is above the regional average.

D. a company's pairs sold and market share outcomes in a region are positively impacted when its brand reputation image rating in a region is above the regional averageE. the more a company's S/Q rating in a region is below the region's all company average, the bigger is the company's resulting competitive disadvantage and the bigger is the resulting negative impact on the company's pairs sold and market share in the region.

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Other Questions
QUESTION 18A container with a volume of 3.76 L holds 0.574 moles of nitrogen gas at 2.88 atm. What is the temperature of the gas in C? 1 Treating people within an organization fairly and taking actions that do not discriminate against people in protected classes on the basis of some illegal criterion is called _____. What is the mass percent of cashews in a 10. 0g mixed nut sample if the cashews are 0. 87g? Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of T Q is 16 and the length of R Q is 20.What is the length of Line segment S R?9 units12 units15 units18 units Not a single word ------ say.did sheshe didshe Read the excerpt from "The Scarlet Ibis.After we had drifted a long way, I put the oars in place and made Doodle row back against the tide. Black clouds began to gather in the southwest, and he kept watching them, trying to pull the oars a little faster. When we reached Horsehead Landing, lightning was playing across half the sky and thunder roared out, hiding even the sound of the sea. The sun disappeared and darkness descended, almost like night. Flocks of marsh crows flew by, heading inland to their roosting trees, and two egrets, squawking, arose from the oyster-rock shallows and careened away.What best describes the effect of the imagery used in this excerpt?It shows the cruelty of the narrator.It helps the setting come alive.It reveals the fact that Doodle is tired.It tells the reader that Doodle will die What was the Glorious Revolution in England? When Oliver Cromwell's protectorate was overthrown and the monarchy restored The final split of the English Church from Roman Catholic authority The end of the monarchy in England and the establishment of a constitutional republic The bloodless removal of James II and the establishment of a limited monarchy For accommodation of persons with special needs, call 555-555-1234, tty 711 is an example of the disclaimer that must appear in advertising for what type of event?. Which of the following is true of the Second Continental Congress? A.) It was convened with the intention of formally declaring independence from Britain. B.) It hired German mercenary soldiers, known as Hessians, to fight against the British. C.) It continued to petition King George III to end the emerging conflict. D.) It called for an end to the boycott on all goods imported from Britain Read the speech and answer the question.Voluntourism: An Opportunity Too Good to be TrueA Speech to the Student Body of Evergreen High[1] Picture this: It's Spring Break, and you fly off to some country where there's lush rainforests and beautiful, blue coastlines to explore. There's also people in need, so you decide to blend your vacation with volunteering. Volunteering as a tourist, or voluntourism, seems like a great way to explore new regions and help people at the same time. However, this "volunteer plus travel" experience can actually harm local communities. While many teens might view traveling and volunteering abroad as a worthwhile adventure, there are more genuine and effective ways to make a difference.[2] Most would agree that volunteering in general is a worthy use of time. However, what if you found out the children you are "helping" are actually being kept in poor conditions so voluntourists will spend money to come to the local area? Dale Rolfe, a supporter of ethical voluntourism, explains the shocking reality that "Animal sanctuaries and orphanages are often manufactured for the voluntourist...encouraging a cycle of exploiting the very animals and children the volunteers are trying to help."[3] Proponents of the "volunteer plus travel" experience also argue that traveling to new places builds character and is a valuable way to learn about different cultures. With voluntourism, however, participants often pursue experiences that are all about them. For example, they sign up to build a school for a gold star on their resume, but they have no real building skills and take jobs away from local construction workers (Schulten). Or, they arrive to teach English but instead take selfies with the locals. One world traveler and ethical voluntourist believes voluntourism "can perpetuate small minded views of the world by taking insulated, fake, and structured experiences and selling them as unabridged and eye opening" (Carlos). The voluntour experience is a mirage. The voluntourist's eyes are not opened to real life at the destination, and lasting change is not achieved.[4] If you want a genuine experience where you can see a lasting impact, there are better options than voluntourism. You can volunteer in your local community. Give an hour every week to your town's animal rescue. Serve monthly dinners to the homeless. Be a reliable, positive influence on a child who needs a mentor. Studies show that volunteering and forming lasting relationships with those you help has a positive impact on your physical and emotional health. In fact, blood pressure is reduced, memory is improved, and rates of depression are reduced (Michaels).[5] There is another reason to look into alternatives to voluntourism. Did you know the average "voluntour" travel package costs $3,400 (Rolfe)? Could that travel money be better spent? If the world's citizens are your passion, it could go to an international organization. If you care about education, your funds can be used to buy books for students in faraway lands. If you want villagers to have clean water, contribute funds to local efforts to dig wells. If you want to experience a different culture, travel to the country as a guest, and learn from the locals how you can best help them after you've returned home. But do not voluntour.[6] In reality, there are better ways to make a difference. Voluntourism might appear to be an adventure that blends travel and helping others, but it does little except provide a costly, superficial experience that might actually do more harm than good. So, volunteer where you are most needed-at home, where you can stay to see the job through and form genuine, lasting relationships. Choose a beautiful coastline closer to home and send the travel money you saved to an international organization that will put it to good use. Whatever you do, don't turn someone else's hardship into your vacation.How does the speaker's rhetorical question in paragraph 2 support the purpose of the speech? It emphasizes the need for willing and wealthy volunteers to bring help to those less fortunate. It highlights how unfair life can be for certain groups of people throughout the world. It reinforces the idea that voluntourism can harm the people and communities it is meant to help. It reminds the audience that there are some who fight the injustice associated with voluntourism. Letter to a Citizen of Kentucky, an excerptExecutive Mansion, Washington,April 4, 1864.A. G. Hodges, Esq., Frankfort, Ky.My Dear Sir: You ask me to put in writing the substance of what I verbally stated the other day, in your presence, to Governor Bramlette and Senator Dixon. It was about as follows: I am naturally anti-slavery. If slavery is not wrong nothing is wrong. I cannot remember when I did not so think and feel; and yet I have never understood that the Presidency conferred upon me an unrestricted right to act officially in this judgment and feeling. It was in the oath I took that I would to the best of my ability preserve, protect and defend the Constitution of the United States. I could not take the office without taking the oath. Nor was it in my view that I might take the oath to get power, and break the oath in using the power. I understood, too, that in ordinary civil administration this oath even forbade me to practically indulge my primary abstract judgment on the moral question of slavery. I had publicly declared this many times and in many ways; and I aver that, to this day I have done no official act in mere deference to my abstract judgment and feeling on slavery. I did understand, however, that my oath to preserve the Constitution to the best of my ability imposed upon me the duty of preserving, by every indispensable means, that government, that nation, of which that Constitution was the organic law. Was it possible to lose the nation, and yet preserve the Constitution? Evaluate the given algebraic expressions replacing x with -2 and y with 1[tex]3x^{2}[/tex] ASAP I WILL GIVE BRAINEST A good theory is hard to understood, while simple enough to capture the key features of the object or situation being studied.TrueFalseEvents that occur locally, or nationally, impact the rest of the consumers and producers in this country.TrueFalseMicroeconomics and macroeconomics are not separate subjects, but rather complementary perspectives on the overall subject of the economy.TrueFalseMost real-world industries will either be a perfect competition or a monopoly and will not fall in the middle ground of market structures.TrueFalse A carnival ferris wheel with a radius of 7m rotates once every 16 seconds. The bottom of the wheel is 1m above the ground. Find the equation of the function that gives a rider's height above the ground in meters as a function of time, in seconds, with the rider starting at the bottom of the wheel. Please use math tools to state your answer - see hint. Or attach your work as ONE easy to read file. What fraction with a denominator of 32 is equal to 1/2? A malignant tumor is a mass of cells that is usually not harmful. invades healthy tissue. rarely damages vital organs.do not spread to other parts of the body. A local pet groomer is considering expanding his services to include cats and needs to decide whether to invest in the necessary equipment and supplies. What type of decision does this represent for the groomer Select the correct answer from each drop-down menu.The hexagonal seating section in an auditorium has a small entrance at the front. A walkway leading from the entrance to the front of the stage is30 ft long. What is the approximate area of the entrance and seating section combined?30 ftEach side of the hexagon is about oft long. The area of the seating section is aboutft. The area of the entrance and seating section combines is aboutft.ft. The area of the entrance is about what is the difference between pressure potential and solute potential and give the formula for water potential More blood vessels are stimulated to ______ more than ______ because blood vessels contain more ______ receptors than ______ receptors.