A tube is being stretched while maintaining its cylindrical shape.

Answers

Answer 1

Answer:

This question is incomplete, the complete question is;

A tube is being stretched while maintaining its cylindrical shape. The height is increasing at the rate of 2 millimeters per second. At the instant that the radius of the tube is 6 millimeters, the volume is increasing at the rate of 96π cubic millimeters per second. Which of the following statements about the surface area of the tube is true at this instant? (The volume V of a cylinder with radius r and height h is V=πr2h. The surface area Sof a cylinder, not including the top and bottom of the cylinder, is S=2πrh.)

A) The surface area is increasing at the rate of 28pi square mm per second.

B) The surface area is decreasing at the rate of 28pi square mm per second.

C) The surface area is increasing at the rate if 32pi square mm per second.

D) The surface area is decreasing at the rate of 32pi square mm per second.

Answer:

Surface Area is increasing at the rate of 28π mm²/sec  ( Option A )

Explanation:

Given the data in the question;

let r be the radius and h be the height of the tube

so volume V = πr²h

dv/dt = πr² dh/dt + 2nrh dr/dt

⇒ 96n = π × 36 × 2 + 2π × 6h dr/dt

⇒ 24π = 12nh dr/dt ⇒ h.dr/dt = 2

Area Surface S = 2nrh

ds/dt = 2π ( r.dh/dt + h.dr/dt )

= 2π ( 6×2 + 2)

= 2π (14)

= 28π

therefore Surface Area is increasing at the rate of 28π mm²/sec ( Option A )


Related Questions

What is a name for el salvador's slang language? mareesh cochise caliche lambada.

Answers

El Salvador's  is known to have a lot of slang words. The name for El Salvador's slang language is caliche.

Caliche is known to be an informal word that is often used by the Salvadoran Spanish  people. It is known to be as a result of colloquialisms and specific indigenous lexical words that pertains to these people.  

Caliche is simply known as the Nawat (Pipil) often affected by the dialect of Spanish that is often and been spoken in El Salvador. It has been shown that it has an element of Spanish and Salvadoran slang.

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Answer:

Caliche

Explanation:

I took the Quiz

The auction price of the game system is higher than the retail price because. If you waited six months to buy the phone, you would have saved.

Answers

Answer:

Demand is higher than supply

$200

Explanation: I guessed and got it right

Answer:

The auction price of the game system is higher than the retail price because

✔ demand is higher than supply

.

If you waited six months to buy the phone, you would have saved

✔ $200

.

Explanation:

Use the completed profile: american reformer sheet for this lesson to answer the following question. Please enter the letter of the choice in the blank. Which reformer did you choose? a. Robert owen b. John noyes c. Lyman beecher d. Horace mann e. Dorothea dix.

Answers

Answer:

I know 100% that Lyman Beecher = Temperance (I took the test)

I believe

Dorothea Dix = education

Horace mann= prisons/asylums

John Noyes = utopian society

No clue which one goes with Robert Owen

Hope this helps :)

If a dam is installed across a river, what effect will this have on the coastline?.

Answers

Answer:

The effects of dams on rivers can have dramatic consequences both upstream and downstream as the natural flow and drainage of the land is altered. One of the most obvious of these effects is a profound altering of the natural sediment load carried by the waters of the previously free-flowing river.

Explanation:

Four seniors and six juniors are competing for four places on a quiz bowl team. What is the approximate probability that all four seniors will be chosen at random? 0. 00020 0. 00476 0. 06667 0. 7142.

Answers

Answer:

0.06667

Explanation:

4/6 = 0.06667

Use the drop-down menus and your knowledge of suffixes to choose the correct word for each sentence. The searched for artifacts in a field. During the civil war, the country found itself in a state of near. He was when he learned that the director had given the role to another actor.

Answers

Answer:

Explanation:

1-archaeologist

2-anarchy

3-furious

yw :)

He learned that the director had given the role to another actor archaeologist.

What is Civil war?

The American Civil War, commonly referred to by other names, lasted from April 12, 1861, until May 26, 1865. The Union[f] ("the North") and the Confederacy ("the South"), the latter of which was made up of seceding states, engaged in combat.

The conflict over whether to allow slavery to spread into the western regions, creating more slave states, or to forbid it from doing so, which was widely believed to put slavery on the path to eventual extinction, was the main driver of the war.

The election of Abraham Lincoln as president of the United States in 1860 ended years of political contention over slavery because he opposed its spread into the country's western territories.

Therefore, He learned that the director had given the role to another actor archaeologist.

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One advantage of participatory budgeting is that it allows subordinates to perform the budgeting function, thus freeing up upper management for more important tasks.

Answers

Answer:

Answer is true

Explanation:

Which best describes the first law of thermodynamics as compared to the second law of thermodynamics? The first law describes how thermal energy is conserved but not the direction it moves. The first law describes the direction thermal energy moves but not how it is conserved. The first law describes how thermal energy can be created but not how it can be destroyed. The first law describes how thermal energy can be destroyed but not how it can be created.

Answers

The statement which best describes the difference between the first law of thermodynamics in comparison with the second law of thermodynamics is that: A. The first law describes how thermal energy is conserved but not the direction it moves.

The First Law of Thermodynamics states that energy can neither be created nor destroyed but it can only be transformed (converted) from one form to another such as potential energy to kinetic energy. Thus, thermal energy is always conserved according to the First Law of Thermodynamics.

On the other hand, the Second Law of Thermodynamics states that the entropy (disorderliness) of an isolated system always increases and can never be decreased. Thus, the direction of an energy is described by the Second Law of Thermodynamics.

In conclusion, the difference between the First Law of Thermodynamics in comparison with the Second Law of Thermodynamics is that the first law describes how thermal energy is conserved but not the direction in which thermal energy moves.

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Answer:

A is the answer

Explanation:

This is for people who don't like reading long answers :)

~Hope it helps!

What is the similarities of prehistoric and egyptian.

Answers

Answer:

prehistoric cave paintings, traditional rules :)

Explanation:

did this Question last week with my class 3rd period !

A city's population is represented by the function P=25,000(1. 0095)t , where t is time in years. How could the function be rewritten to identify the daily growth rate of the population? What is the approximate daily growth rate? Drag and drop the choices into the boxes to correctly complete the table. If a value does not match, do not drag it to the table. Function Daily growth rate.

Answers

Answer:

The yearly growth rate is 0.95%. For the daily growth rate, change t, to t/365/

Explanation:

navalan nasyonal Eskol​

Answers

Answer:

Lol lol lol lol lol lol lol lol lo lol

What is a common element to many Garafuna treats and foods? meat corn coconut.

Answers

Answer:

The answer is "Coconut"

Explanation:

Have a great day!

The common element to many Garifuna treats and foods is coconut. The correct option is c.

What is Garifuna treat?

Coconut is a common ingredient in Garifuna food, along with other fundamental components like roots and tubers, including yams and sweet and bitter yucca, as well as bananas and sweet potatoes, among others.

Additionally, coconut is a common ingredient in many of the main courses, snacks, and desserts. This essential component is widespread throughout the Caribbean Sea region.

This style of characteristic food, which is rich in combinations and variants, is a result of the customs of the Garifuna people's forefathers, who were primarily indigenous African, Carib, and Arawak people.

Therefore, the correct option is c, coconut.

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Which method of choosing teams would be most hurtful to lower skilled players? A. Having team captains pick one player at a time B. Having people count off C. Having people team up according to birthdays D. Having people draw numbers.

Answers

Answer:

The answer has to be A

Explanation:

Cause that has to down grade one's skill

Answer:

Which method of choosing teams would be most hurtful to lower skilled players?

A. Having team captains pick one player at a time <<<------ Correct

B. Having people count off

C. Having people team up according to birthdays

D. Having people draw numbers.

Explanation:

Edge 2022 100% on unit test

Which lines from the excerpt of antigone best demonstrate that creon abhors criminals who show no remorse for their actions?.

Answers

There are different kinds of stories excerpt of Antigone best demonstrate that Creon abhors criminals who show no remorse for their actions is that  ''But most I hate when one found out in guilt, Will seek to glaze and brave it to the end''.

Antigon story is known to be that of a tragedy. It was  written by Sophocles in the year 441 BCE. The lines talks about why the reason for hating a person if they are guilty, it implies why can't He love them instead.

It was a play about the effect of a civil war where two sons of Oedipus, Eteocles and Polyneices, kill each other. In the excerpt, the new king and their successor, Creon punished Polyneices for his disloyalty.

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Circle H is inscribed with quadrilateral D E F G. Angle E is 123 degrees. The measure of arc D E is 73 degrees. What is the measure of arc EF in circle H? 41° 50° 114° 173°.

Answers

Measure of arc EF is 41 degrees

Answer: 41 degrees

Explanation:

I got it right

The oblique pyramid has a square base. An oblique pyramid has a square base with a base edge length of 2 centimeters. The vertical height of the pyramid is 3. 75 centimeters. What is the volume of the pyramid? 2. 5 cm3 5 cm3 6 cm3 7. 5 cm3.

Answers

Answer:

What brought an end to efforts during the late thirteenth century to form an alliance of European states and the il-khanate of Persia aimed at crushing Islamic forces in the eastern Mediterranean

Explanation:

Answer:

58One-third cm3

Explanation:

E2020

How does a phase change from solid to liquid occur in a substance.

Answers

Answer:

As heat is added to solid water, the temperature increases until it reaches 0 °C, the melting point. At this point, the phase change, added heat goes into changing the state from a solid to liquid. Only when this phase change is complete, the temperature can increase .

Solid → Liquid: Melting or fusion

Solid → Gas: Sublimation

Gas → Liquid: Condensation

Explanation:

Which group is made up of organisms that are all members of the same kingdom?.

Answers

Answer:

cat , frog , mushroom , graas , worm , shark , mold , bacteria , apple tree , fern , rose bush , corn plant

The group that is made up of organisms that are all members of the same kingdom is fern, rose bush, and corn plant. The correct option is D.

What is taxonomic rank?

Taxonomic rank is the relative level of a group of organisms in an ancestral or hereditary hierarchy in biological classification.

A common system consists of the following elements: species, genus, family, order, class, phylum, kingdom, and domain. Cladistics is another term for the study of taxonomy.

When it comes to taxonomic rank, the kingdom is the second highest, with smaller groups known as phyla.

Plantae is divided into four evolutionary related groups: bryophytes (mosses), seedless vascular plants, gymnosperms (cone bearing seed plants), and angiosperms (flowering seed plants).

Kingdom Plantae consists of autotrophic, multicellular, photosynthetic eukaryotes. These are mostly non-motile, embryo-forming organisms that serve primarily as producers in the ecosystem by converting solar energy into chemical energy via photosynthesis.

Thus, the correct option is D.

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Your question seems incomplete, the missing options are:

cat, frog, and mushroom

grass, worm, and shark

mold, bacteria, and apple tree

fern, rose bush, and corn plant

A samoan handicraft company is expanding its market into australia and new zealand. The company’s director of marketing is researching the two additional markets for this expansion. She is comparing various cultural aspects of the two countries. Which areas of culture should she consider when studying the countries for changes in the marketing mix?.

Answers

Culture is part of our everyday life. The areas of culture that should be consider when studying the countries for changes in the marketing mix are;

Geography, income bracket, gender, age Time and punctuality, customs and taboos, religious beliefs and celebrations, values.

Samoa is known to have different cultures when compared to other countries.  The director in charge of marketing in the firm should research the geography of New Zealand and Australia because it is different from Samoan geography.

He should conduct a well detailed demographic analysis such as income bracket, gender, and age so that they can know more about possible customers.

The culture and tradition of New Zealand and Australia should be studied so that their business can have a smooth running overtime.

 

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Which one of the following equations correctly represents the process involved in the electron affinity of x?.

Answers

Electron affinity is known simply as the energy change from the addition of 1 e– to a gaseous element/ion. The one of the equations correctly represents the process involved in the electron affinity of x is X(g) + e- → X-(g)

For electron affinity,

Atom(g) + e– → Ion–(g), ΔE = –E.A.

Electron affinity is simply known as the amount of energy that is given off when an electron is added to a neutral atom to create a negatively charged ion.

It is often hard to measure and as such the values are available for only a few chemical elements.

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A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a certain day, total admission fees were $900, and 350 people attended the fair. How many children attended the fair that day? 80 children 150 children 200 children 320 children.

Answers

150 children attended the fair for that day if $900, and 350 people attended the fair, hence option b is correct.

What is the number of children attended the fair?

Detailed explanation:

Let's say there are x youngsters and y grownups.

350 persons in all visited the fair, thus.

So, x + y = 350.

In addition, fees per kid are $2 and fees per adult are $3.

Since, $900 is assumed to represent the entire sales.

So, 2x + 3y = 900

Consequently, we have the equation system,

2x + 3y = 900

x + y = 350

Now let's resolve the equations.

x + y = 350 ⇒ y = 350 - x

The result is that 2x + 3y = 900 2x + 3(350 -x) = 900 2x + 1050 - 3x = 900 -x = -150 x = 150.

The result is that y = 350 - x y = 350 - 150 y = 200.

Therefore, As a result, 150 children and 200 adults, respectively, visited the fair.

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You are going to write an essay about the life of a person whom you admire. Which two organizational aids could you use, and why?.

Answers

Answer:

Organizational aids are tools that allow an author to help the reader understand and follow the flow of information and ideas within a text. They provide a framework for organizing and connecting what has been written into a cohesive whole.

Explanation:

Two organizational aids that could be used to write about the life of someone whom you admire would either be chronological order or cause-and-effect. The chronological order might be used because the author may want to inform the reader about key events within the person's life, and this organizational aid would help to accomplish that goal. Using cause-and-effect could also work well because it could show how certain events were caused by other events, which ultimately led to the outcome of certain moments in the person's life.

Answer:

You can use a sequence chart or a timeline. Both organizational aids allow you to present the events of the person's life in order of occurrence.

Explanation:

Difference between point to point and continuous path control system.

Answers

Answer:

Continuous path control system is continuous operation that perform by tool.The program used in continuous path control system is more complex .

Explanation:

Researchers are investigating the effect of ph level in water on the breeding habits of the moon jellyfish. As part of a laboratory experiment, they will randomly assign one of three treatments, low ph , medium ph , or high ph , to the water in the tanks that hold the jellyfish.

Answers

In this experiment randomization tends to minimize the effects of uncontrolled variables, such as water temperature, so that such factors are not confounded with the treatment effects.

In an experiment, variables are carefully controlled in order to ensure the reliability of the results. Usually, treatments are assigned randomly to experimental units. Randomization refers to the assignment of experimental units to groups by chance.

Randomization is important in this experiment because it  tends to minimize the effects of uncontrolled variables, such as water temperature, so that such factors are not confounded with the treatment effects.

Missing parts;

Which of the following is the best reason for the random assignment of a treatment level to an experimental unit?

A. Randomization tends to minimize the effects of uncontrolled variables, such as water temperature, so that such factors are not confounded with the treatment effects.

B. Randomization will make up for improper experimental design, data collection, and analysis.

C. Randomization makes the analysis easier since the data can be entered into the computer in any order.

D. Randomization is required by statistical consultants before they will analyze the experiment.

E. Randomization means that the experiment would not need to be replicated

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Raven can walk 2. 4 miles in 36 minutes. At this rate, how far can she walk in 1 hour?.

Answers

Answer:

4

Explanation:

2.4/36 to find how many miles in one minute

0.0666666667×60= 4 miles

Answer:

4 miles

Explanation:

1 hour = 60 minutes

in 36 minutes = 2.4/36

in 1 hour = 2.4/36 × 60 = 4

so the answer is 4 miles

Which answer choice is a solution to the inequality mc001-1. Jpg? –1 1 1. 5 0.

Answers

Answer:

c, 1.5

Explanation:

Answer:C) 1.5

Explanation:

White shapes and black shapes.

Answers

Answer:

9/32

Explanation:

Hopefully it’s relevant to the question.

White shape and black shapes

A sequence is defined recursively using the formula f(n 1) = f(n) – 5. Which sequence could be generated using this formula? 1, –5, 25, –125,. 2, 10, 50, 250,. 3, –2, –7, –12,. 4, 9, 14, 19,.

Answers

Answer: C ( 3,-2,-7,-12)

Explanation: teacher helped me and showed me

A company is selling used office equipment for 12000.

Answers

Answer:

So?what do u need to know or work ou in this question

Explanation:explanation is

It takes John 1.5 hours to ride a distance of 17 kilometers on his bike. John wants to
calculate his average speed during the journey.
Which is an appropriate unit for his average speed?
hr/km
km/hr
km
hr

Answers

Answer:

Km/hr

Explanation:

It is Km/hr since the 17 is in Km, and the 1.5 is in hours. So in geneeral, to measure speed, it is usually the km first and then the hr

So... hr/km is WRONG

And... km/hr is RIGHT

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