The function = 3describes the volume of a cube, , in cubic inches, whose length, width, and height each measure inches. Find the (instantaneous) rate of change of the volume with respect to when = 3 ℎ.

Answers

Answer 1

The correct structure of the question is as follows:

The function f(x) = x^3 describes a cube's volume, f(x) in cubic inches, whose length, width, and height each measures x inches. If x is changing, find the (instantaneous) rate of change of the volume with respect to x at the moment when x = 3 inches.

Answer:

Step-by-step explanation:

Given that:

f(x) = x^3

Then;

V = x^3

The rate whereby V is changing with respect to time is can be determined by taking the differentiation of V

dV/dx = 3x^2

Now, at the moment when x = 3;

dV/dx = 3(3)^2

dV/dx = 3(9)

dV/dx = 27 cubic inch per inch

Suppose it is at the moment when x = 9

Then;

dV/dx = 3(9)^2

dV/dx = 3(81)

dV/dx = 243 cubic inch per inch


Related Questions

Carrie and Alex are playing hiding and seek

Answers

Answer:

Ok.

Step-by-step explanation:

What is your question?

Answer: YESS

Step-by-step explanation:

I love hide and seek

Clear Mark for Review Jamal's lawn is shaped like a square with an area of 224.9 ft. Which measurement is closest to the side length of his lawn in feet?​

Answers

Answer: 15 feets

Step-by-step explanation:

Given that :

Area of square shaped lawn = 224.9 ft²

Measurement closest to side length of the lawn :

Since the length is square shaped ;

Area of square formula = a²; where a = side length of the square

Area = a²

224.9 ft² = a²

Take the square root of both sides

√224.9ft² = √a²

14.996666 ft = a

a = 14.996666 ft

a = 15 ft

Hence, the side length of the lawn is closest to 15 feets

Which of these expressions shows like terms?

Your answer:

3x +3y


2x +2x^2


2x+3x


2x^2 +3y^2

Please help! Need Now!

Answers

Answer:

C

Step-by-step explanation:

2x+3x Have the same variable. Therefore they both have like terms

-2c+y c=-2 and y=5 ​

Answers

Answer: 9

Step-by-step explanation: All you have to do is plug in the numbers for the variable they give you. :)

Answer:

Step-by-step explanation:

Given c= -2. & y=5

-2c+y=. -2x-2+5=4+5= 9 is the answer

I need help please.
What are the answers at least for the first one. Please help.

Answers

the first box is 1
the second box is 50
the third box is 8
you’re welcome

Answer:

1. 0 weeks

2.$50 in savings

3.8 weeks

4. $90 in savings

Step-by-step explanation:

Select the correct answer.
Which pair of statements correctly compares the two data sets?

А.The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set.

B.The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set.

C. The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set.

D. The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.

Answers

Answer: B?

Step-by-step explanation:

Answer:

Go for B

Step-by-step explanation:

Jasmine gets paid to do chores around her house. She earns $3.00 every 20 minutes that she cleans the gutters. She earns $3.60 every 20 minutes that she mows the lawn. It took her 40 minutes to clean the gutters and 2 hours to mow the lawn. How much money did Jasmine earn?

Answers

Answer:

$24

Step-by-step explanation:

Step one:

given data

we are told that she earned $3 every 20minute for gutter cleanup

and for mow, she earns $3.6 every 20 minutes.

Step two;

1. For a 40 minutes gutter cleanup she will make

=3*40/20

=3*2

=$6

1. For a 2 hours mow she will make

2 hours is 120 minutes

=3.6*120/20

=3*6

=$18

So in total she earned 6+18= $24

What is 3/4 divided 5/16 in its simplest form?

Answers

Step-by-step explanation:

3/4÷5/16

3/4×16/5

=12/5(2 2/5)

(3/4) divided by (5/16) in its simplest form is 12/5.

To divide two fractions, you can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and the denominator.  So, to divide (3/4) by (5/16), you can multiply (3/4) by the reciprocal of (5/16):

(3/4) ÷ (5/16) = (3/4) * (16/5)

Now, multiply the numerators and denominators:

Numerator: 3 * 16 = 48

Denominator: 4 * 5 = 20

3/4) ÷ (5/16) = 48/20

To simplify this fraction, find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both by the GCD:

GCD of 48 and 20 is 4.

(48/4) ÷ (20/4) = 12/5.

To know more about simplest form:

https://brainly.com/question/29775109

#SPJ2

A picture frame has a perimeter of 62 inches. The difference between the
length and twice the width is 1 inch. What are the length and width of the
frame?

Answers

Answer: each width = 10, each length = 21

Explanation: from the question we know that L=2w + 1 and we also know that a rectangle has the perimeter of 62 when we plug it in the equation we will get 62= 2(2w+1+w) we will multiply the 2 now and we will get 62=4w+2+2w we will combine like terms and we will minus two from both sides ending up with 60=6w we will divide six from both sides and we will get w=10 then we will use l=2w+1 to find the length and it will be 21

Cada semana de los últimos 3 años Lucía ha hecho 120 km en bicicleta y cada mes 100 km corriendo y 15 km nadando. Debe cambiar la bicicleta cada 20.000 km. ¿Tiene que cambiarla ya?

Answers

Answer:

Lucía no tiene que cambiar ya la bicicleta porque ha recorrido 18,720 km.

Step-by-step explanation:

Para determinar la respuesta tienes que encontrar la cantidad de km que Lucía ha hecho en 3 años multiplicando los 120 km que hace a la semana por la cantidad de semanas que hay en 3 años. Para determinar las semanas, tienes que considerar que en 1 año hay 52 semanas:

Semanas=52*3= 156 semanas

120*156=18,720 km

De acuerdo a esto, la respuesta es que Lucía no tiene que cambiar ya la bicicleta porque ha recorrido 18,720 km.

In a survey of 2,000 people who owned a certain type of​ car, 900 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

45%

Step-by-step explanation:

900/2,000 = 45

Rotate ΔABC with vertices A(-1, 4), B(2, 1), and C(3, -3) about the origin by 90°.

What are the coordinates of A'?

Answers

You got this you can do it I don’t know the answer but I hope you find someone who does(:

PLZ HELP OMG!! I’ll mark Brainliest to whoever gives correct answer first!!!

Answers

Answer:

Step-by-step explanatioThe chosen topic is not meant for use with this type of problem. Try the examples below.

2

(

x

2

1

)

=

16

,  

(

0

,

4

)

 

8

=

2

(

3

x

+

3

)

2

,  

(

1

,

3

)

x

(

x

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=

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n:

pls help I will give you brainliest please just help

Answers

Answer:

the picture isnt there

Step-by-step explanation:

Answer:

The picture is just a black photo...

Step-by-step explanation:

Your Welcome!

Brainliest Appreciated!

Pencils cost 25 cents apiece. Rulers cost 80 cents
apiece. Susan spent $20 for a total of 36 rulers and
pencils. How many pencils did she buy?

Answers

Answer:

She bought 16 pencils

What is the quotient?
-4/5 *2
HELP PLEASE

Answers

Answer:

The answer is 4/25 or 0.16.

Step-by-step explanation:

If the astrick is meant for a square root, then yes that is the answer.

The correct answer is 1.6.

A new amusement park has a sign posting the cost for rides.
How much would it cost for 18 rides?

Answers

Answer:

It would cost $51 for 18 rides

Step-by-step explanation:

if it costs $8.50 for 3 rides, you could easily just multiplied the price of 3 by 6 because 6 x 3 = 18 rides

And 8.5 x 6 = $51

if a telescope originally costs $539.99 the tax rate is 10%. what is the total?

pls someone explain how to solve these type of problems plssssssssssss im not asking for a answer just explaining and possibly a example PLSS HELP ITS DUE IN 10 MINUTES ​

Answers

$539.99 x 10% = 53.999 so essentially $54

Find the line of reflection if the image of (-5,-2) is each of the following?

Answers

Answer:

the reflection would be (5,2)

Step-by-step explanation:

the answer isssssssssss 5,2

-2/5x + 3= 2/3x + 1/3

Answers

Answer:

x=2.5

Step-by-step explanation:

In this case, simplification can isolate x, so x=2.5.

answer quickly plzzz ​

Answers

Angle 1 measures to be 16

PLEASE HELP !! THANK YOU AND ILL GIVE 10 POINTS PLUS BRAINLIEST !! CORRECT ANSWERS ONLY PLEASE !!

Answers

It is D. 53.

The step by step is in the picture! :)

Can u guys PLEASE ANSWER THIS QUESTION ASAP URGENTLY

Find the equation of the parabola in general form

Answers

Answer:

x^2-4x+3

Step-by-step explanation:

Since the zeroes of the quadratic are 1 and 3, we can set up an equation in factored form:

(x-1)(x-3)

=x^2-4x+3

We can further check that this is the right answer by evaluating it at the vertex:

(2)^2-4*2+3=-1

Since that corresponds to the graph, the answer is x^2-4x+3

Solve the system using the elimination method. - Which one should I do first
3x-4y+z=-5
6x-4y+z=1
x+y+z=6

Answers

Answer:

first equation and second equation

Step-by-step explanation:

it is more easier because both of them have the same y

Answer:

Use equation (1) and equation(2) and eliminate 4y+z

Step-by-step explanation:

3x-4y+z=-5     ...(1)

6x-4y+z=1        ...(2)

x+y+z=6          ...(3)

First, you find the equation that you can use the elimination method on;

there are multiples of them.

However, I would use equation (1) and equation(2) and eliminate 4y+z :

 3x-4y+z=-5

- 6x-4y+z=1  

         -3x=-6

            x=2

As you can see, both the terms with y and z are eliminated in one step, exposing the variable x.

From here is just my advice:

There are multiple ways for you to answer this question. In math, the process may sometimes not matter if the answer was correct. Nevertheless, you should try finding one way that fits you or makes it easier to solve. I personally think that how I have been trying this helped me later when math got more complicated. (Also, it was fun for me to find another way that I was not taught of)

GOOD LUCK!! and I HOPE THIS HELPS YOU!!!!

Two parallel lines are crossed by a traversal. What is the value of h?
h=60
h=80
h=100
h=120

Answers

Answer:

h=60

Step-by-step explanation:

The angle that is 120 degrees and the angle that is h degrees are called same side interior angles

Same side interior angles are supplementary, meaning that they add to 180 degrees

To find h we can use Measures addition postulate to find the unknown value h

h+120=180

h=60

y+3=-7(x+5) in slope intercept form

Answers

Answer:

IN slope intercept form this is y=-10x-50

y+3=-7(x+5)

y=-10(x+5)

y=-10x-50

Step-by-step explanation:

Write a fraction, a decimal and a percent for: one-sixth

Answers

Answer:

fraction:1/6  decimal:0.166666 repeated    percent:16.6 repeated

Step-by-step explanation:

Answer:

1/6,0.16,16.60

Step-by-step explanation: please mark me brainlist

The coin jar was filled with pennies and nickels in the ratio of 7 to 2. If there were 28 nickels in the jar, how many coins were there?

Answers

28/2=14
7x14=98.
98 is the answer

Raymond bought a book that cost C = 1.065x after sales tax. How could he rewrite the cost equation to emphasize the base price of the book and the amount he paid in tax? C= x + 0.065 A B. C= x + 0.065x с C=1+ 0.065 D C=1+ 0.0652​

Answers

Answer:

C

Step-by-step explanation:

which is greater? 2/3 or 3/4?​

Answers

Answer:

3/4

Step-by-step explanation:

When finding common denominators the answer would be 3/4.

Answer:

2/3 is not greater than 3/4

Step-by-step explanation:

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