the side of the cube is increasing at a constant rate of 0.2 centimeters per second. in terms of the surface area s, what is the rate of change of the volume of the cube, in cubic centimeters?

Answers

Answer 1

The rate of change of the volume of the cube is 0.4s cm³/s

What is rate of change?

Rate of change is the rate at which a quantity increases or decreases with time.

How to find the rate of change of the volume of the cube, in cubic centimeters?

Since the side of the cube is increasing at a constant rate of 0.2 centimeters per second. Its volume is given by V = L³ where L = length of side of cube.

Now, to find the rate of change of its volume, we differentiate the equation with respect to time, t.

So, V = L³

Differentiating, we have

dV/dt = dL³/dt

= dL³/dL × dL/dt

= 2L² × dL/dt

Since the rate of increase of the side of the cube is dL/dt = 0.2 cm/s, we have that

dV/dt = 2L² × dL/dt

= 2L² × 0.2 cm/s

= 0.4L² cm³/s

We know that the area of a cube s = L². So, substituting this into the equation, we have

dV/dt = 0.4L² cm³/s

= 0.4s cm³/s

So, the rate of change is 0.4s cm³/s

Learn more about rate of change of volume of cube here:

https://brainly.com/question/28838381

#SPJ1

Related Questions

Distribute and combine like terms: −4(7r + 7)

Answers

Answer:

r=1

Step-by-step explanation:

-4(7r+7)

-28r-28

r=1

HELPPPPP PLSSSSSSSSSS PLSSSSSSSS DRFTGYHUYGTFRDCGV PLSSSSSSSSSSSSSSSSSSSSSSSSSSSS PLSSSSSSSSSSSSSSSSSSSSSS FRTGYHUJTRCVBJHGB ASAPP PLSSSSSSSSS NNOWWW FGHUJIKHTFVBNGB.

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Answer:

B, C, and D

Step-by-step explanation:

They are both true the ones I said.

B c d are the right ones

Please help me name the parts of the circle

Answers

Answer:

radius is gf diametor is ce chord is Ab and secant is ge tangent is dc

Probably shouldn’t click they link

HELP I WILL GIVE BRIANLY
If 1/3 of my money is 80, what is 25% of my money?

Answers

Answer:

60 = 25% of ur money

Step-by-step explanation:

80×3=100%of ur money (240)

to get 25% we need to divide 240 by 4 bcs 4= 25%

The cost of boring a tube well 600 meter deep is as follows 25 paisa for the first metre and an additional 4paisa for every subsequent meter find the cost of boring a 500th meter long

Answers

The answer is 2021 paisa for the 500 metre long tube well

3a=a+36 find the value of a

Answers

Answer:

a=18

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step 1: Write out your equation

3a=a+36

Step 2: Subtract a on both sides

2a=36

Step 3: Divide by 2 on both sides

a=18

Hope I helped

Find the area of the figure. Round your answer to the nearest tenth.

Answers

Answer:

18.0

Step-by-step explanation:

I NEED HELP RN PLSSS!!! (check whole picture) i’ll give brainiest if u don’t give a link just pls help immediately!!!)

Answers

Answer:

So I would say your answer is..............A

Step-by-step explanation:

For most places, global warming will result in more frequent hot days and fewer cool days, with the greatest warming occurring over land. Longer, more intense heat waves will become more common. Storms, floods, and droughts will generally be more severe as precipitation patterns change

Also, A is correct because lets say you put an ice cube in the sun...okay well if it keeps getting hotter and hotter multiply ice cubes into ice caps. Well same thing will happen. It will melt causeing water from the ice caps. Which will result into more water. Which will cause water to go above sea level!

Hope this helps!!!

HELPPPP ME NOW PLS LLS

Answers

Answer:

Angle one is 107 degrees and angle 2 is 83 degrees

Step-by-step explanation:

When Bruce won a contest, he got a bronze medal with a radius
of 5 centimeters. What is the medal's diameter?

Answers

Answer:

10 centimeters

Step-by-step explanation:

diameter = 2r

r = radius

diameter = 2(5cm)

diameter = 10 cm

help me find the perimeter please:)

Answers

Answer:

79.2 cm

Step-by-step explanation:

Add up all the lengths of all of the sides of the figure:

16.2 + 7.5 + 7.5 + 18 + 18 + 12 = 79.2

Answer:

79.2 m

Step-by-step explanation:

Well since all the units are the same and you have already labeled the missing/ congruent sides. Just add up all the sides and you’d end up with 79.2

Can someone help asap

Answers

D is the answer because angle N would be 62 degrees if they were congruent

I don’t have any of the stuff pls help

Answers

Answer:

so 6/10 prefered ebooks pretty much and 1/10 didn't have a preference the other 3/10 liked traditional books you should be able to do the rest after that

helppppppppppppppppppppp plzzzzzzzzzzz answer

Answers

Answer:

Maria randomly selects a number from the list of numbers below.

56, 90, 88, 76, 12

What is the probability that she selects an even number?

Step-by-step explanation:

so fd jwshydd +3 b4--

Answer:

3/2

Step-by-step explanation:

4x+17=23

-17 on both sides

4x=6

divided by 4

x=3/2

True or false.

A counter-clockwise turn of 270° will land you at the same location as a 90° clockwise turn.

Answers

True. There is no difference between the two, they are the same thing and any time you will come up to the same place.

To amend a country's constitution, 5 6 of the 52 states in that country must approve the amendment. If 44 states approve an amendment, will the constitution be amended

Answers

Answer: Yes. It will be amended

Step-by-step explanation:

Since 5/6 of the 52 states in a country must approve the amendment before the country's constitution is amended, then the number of states that must approve it will be:

= 5/6 × 52

= 43.33

= 43 approximately

Since 44 states approve an amendment, the constitution be amended since it's more than 5/6 of the 52 states.

Please help NO LINKS
LINKS=REPORTED

Answers

Answer:

They didn't multiply the whole equation by 2 or -3 and only the first part

Answer:

when the first equation was multiplied by 2, the -22 did not get multiplied by 2

when the second equation was multiplied by -3, the -14 did not get multiplied by -3

the result is that x should be = 2

Step-by-step explanation:

The mulraneys hired a contractor to build an addition to their home. The contractor proposed a rectangular room with a perimeter of 50 feet. The mulraneys asked the contractor to change the perimeter to 60 feet by increasing both he length and the width by the same distance. By how many feet did the mulranys ask the contractor to increase the length of the room?

Answers

Answer is 220 and what’s up

Figure AAA maps to figure BBB with a scale factor of 0.750.750, point, 75.

Answers

Answer:

7.5

Step-by-step explanation:

x=10*0.75 = 7.5

note that b is smaller than a

HELP FOR 7 AND 8 Pleaseeeee

Answers

I believe the answer to 7 would be;
B. 64 cm

This is was a guess. My reasoning is 8(6) =48 and 8(10)=80, so the number in between would be 64.

Another train of thought was the number in the middle of 6 and 10 is 8 and 8(8) = 64
6, 7, 8, 9, 10
X, X, • , X, X

I believe the answer to 8 would be;
C. 82.5 in

Following the equation, you would multiply 15 and 11 the divide the product by two

15(11)=165
165/2=82.5

Please correct me if I am wrong and have a good day!

Find the 100th term for the sequence. -9,-4, 1, 6, 11, .......

Answers

Answer:

486

Step-by-step explanation:

for the 2nd term, add 5 to -9

for the 3rd, add 5 × 2 to -9

for the 4th, add 5 × 3 to -9

for the 100th, add 5 × (100 - 1) to -9

=> 5 × 99 + (-9)

=> 486

Hmmmmmskksksksksksjsjsjdj

Answers

Answer:

Hmmm

Step-by-step explanation:

Write an equation of the line that passes through the given points.
(-2,8) and (1, -1)

Answers

/Answer:

Short Answer Type:

P1 - (-2,8)

P2 - (1,1)

Slope: (1 - 8) / (1 + 2)

=> -7/3

Therefore: 1 = -7/3 + c

=> 10/3 = c

Therefore equation: y = -7x/3 + 10/3

(6,3); (1,4)

Slope

Giving brainless answer

Answers

Answer:

-1/5. When you do y^2 - y^1/ x^2 - x^1 = It will lead to -1/5

Step-by-step explanation:

HI can you guys please help with these

Answers

AnswerЯ могу помочь вам, но я не знаю, как мне так жаль, но вы можете найти ответ, если вы умны и в каком вы классе буквально вы, люди, такие тупыеЯ могу помочь вам, но я не знаю, как мне так жаль, но вы можете найти ответ, если вы умны и в каком вы классе буквально вы, люди, такие тупыеЯ могу помочь вам, но я не знаю, как мне так жаль, но вы можете найти ответ, если вы умны и в каком вы классе буквально вы, люди, такие тупые

Step-by-step explanation:

This table shows how many male and female students attended two different

movies. What is the probability that a randomly chosen person from this
group is male?
Round your answer to two decimal places.
Action
Drama
Total
Male
105
124
229
Female
99
151
250
Total
204
275
479

Answers

Answer:

the correct answer is

229/479 = 0.48

The probability that a randomly chosen person from this group is male is 0.48.

What is the probability that a male is chosen?

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

The probability of choosing a male = number of males / total number of males and females

229/479 = 0.48

To learn more about frequency tables, please check: https://brainly.com/question/26577861

Given h(x)=4x-4h(x)=4x−4, find h(-3)h(−3).

Answers

Answer:1

Step-by-step explanation:

4x-4x+4=4h(x)

4=4h(x)

h(x)=1

h(-3)h(-3)=(1)(1)=1

8 squared + B squared = 10 squared

Right triangle Pythagorean theorem

Answers

Answer:

Step-by-step explanation:

It's 6. The Pythagorean Theorem details how to find the length of a right triangle's hypotenuse.

The equation is a² + b² = c²

C is the length of the hypotenuse. The side lengths you have are a leg as 8 and hypotenuse as 10. By substituting these values into the equation, we get 8² + b² = 10²

Therefore, 64 + b² =100

So b² = 36

By square rooting both sides we finally reach the answer b=6.

Hope I helped!! (p.s. maybe brainliest)

40 points for this answer thank you

Answers

A = 6%
B = 36%
C = 16/25
D = 80%
M = 11/50
R = 45%
T = 14/25
X = 7/10

Those are all the answers that I got, I’m NOT saying all of them are correct! I hope this helps tho- :)

HELP!!! Use the properties of exponents to simplify the expression:

Answers

There you go the answer key

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