The side of a cube is increasing at a rate of 2 kilometers per hour. At a certain instant, the side is 1.5. What is the rate of change of the volume of the cube at that instant (in cubic kilometers per hour)?

Answers

Answer 1

Answer:

dV/dt = 13,5 [Km³/h]

Step-by-step explanation:

The volume f the cube is:

V = x³                 where x is a side of the cube, then tacking derivatives with respect to  time on both sides of the equation

dV/dt = 3*x² dx/dt

dx/dt = 2 km/h

at the time when the side x =  1,5 Km

dV/dt = 3* (1,5)²*2   [km³/h]

dV/dt = 13,5 [Km³/h]


Related Questions

Based on the table,
what is the best
prediction of the
number of clicks on
the advertisement if
1,500 people visit the
website?
F. 7
G. 137
H. 83
J. 105





PLEASE HELP
ILL GIVE YOU BRAINIEST

Answers

H. 83 would be the best prediction because when there was 510 visits there was 32 clicks so u multiply 32 times 3 and get 96 but since it’s 510 visits and not 500, 83 would be the most predictable :)

The linear relation is y = 0.049x + 8.606 then the value of y is 83. Then the correct option is H.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The linear relation is given as

[tex]\rm y - 63 = \dfrac{63-60}{1106-1045} (x - 1106)\\\\y = 0.049x+8.606[/tex]

For x = 1500, then the value of y will be

[tex]\rm y = 0.049\times 1500+8.606\\\\y = 82.37 \approx 83[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472

a drum has a diameter of 18 in and is 16 in deep find the volume

Answers

Answer:

Volume is approximately 4071.5 in³

Step-by-step explanation:

V= πr²h

V=π(9)²(16)

What is the rule for reflecting across the x-axis?​

Answers

Answer:

See below

Step-by-step explanation:

If we want to reflect across x-axis, we'll change the y-coordinate of the        co-ordinate to it's opposite (If it's negative, it will become positive and vice versa) while the x-coordinate will remain the same.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Points (-2, 4) and (-1, 1) lie on the same line. Which of the following equations represents the line

Answers

Answer:

y = -3x - 2

Step-by-step explanation:

Given the coordinates  (-2, 4) and (-1, 1), we are to find the equation of a line passing through the points.

The standard form of the equation is expressed as;

y = mx+c

m is the slope

m = y2-y1/x2-x1

m = 1-4/-1+2

m = -3/1

m = -3

get the y-intercept c;

Substitute m = -3 and any point say (-1,1) into the equation y = mx+c

1 = -3(-1) + c

1 = 3 + c

c = 1-3

c = -2

Get the required equation;

y = mx+c

y = -3x + (-2)

y = -3x - 2

For a soccer practice, the coach set up four cones, labeled W, X, Y, and Z, to mark the edges of the rectangular field. Suppose the field is drawn on a coordinate plane, where the x- and y-values represent the position, in yards, from the center of the field, which is located at (0, 0). The location of the cones are as follows. Cone W is located at (-38, -53). Cone X is located at (-38, 53). Cone Y is located at (38, 53). Cone Z is located at (38, -53). What is the perimeter of the field? A. 364 yards B. 8,056 yards C. 182 yards D. 38 yards

Answers

Answer:

A. 364 yards

Step-by-step explanation:

The distance between two points  [tex]A(x_1,y_1)\ and\ B(x_2,y_2)[/tex] on the coordinate plane is given as:

[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The cone W, X, Y and Z form a rectangle.

The perimeter for the rectangle = 2(length +  breadth)

[tex]Length=|WX|=\sqrt{(-38-(-38))^2+(53-(-53))^2}=106 \\\\Breadth=|XY|=\sqrt{(38-(-38))^2+(53-53)^2}=76[/tex]

Perimeter = 2(length + breadth) = 2(106 + 76) = 364 yards

Is the following a function?

Answers

Answer:

yes

Step-by-step explanation:

you can times them all by 3

BRAINLIEST PLEASE

Solve for x.And please show me how u got the answer
9
12
4x - 2)
3x + 2

Answers

Answer: -7

Step-by-step explanation:

3x + 2 + 12 = 4x -2 + 9

3x + 14 = 4x + 7

-4x  -14    -4x  -14

-1x = 7

x= -7

I really need help with the first one, so I can do the rest of anyone could help I’d be so grateful.

Answers

Answer:

1) a = 1 ; b = 5 ; c = 0

2) a = 1 ; b = 3 ; c = 10

3) a = -5 ; b = -7 ; c = 2

4) a = 1 ; b = 2 ; c = -9

5) a = -7 ; b = 6 ; c = -1

6) a = 4 ; b = -10 ; c = -7

Step-by-step explanation:

a , b & c are just coefficients of the equation

Answer: [tex]x^{2}[/tex] =5x=0  

Step-by-step explanation:

Write an exponential function to model the situation. Then find the value of the function after 5 years to the nearest whole number. A populaton of 330 animals that decreases at an annual rate of 22%.

Answers

Answer:

Results are below.

Step-by-step explanation:

First, we need to establish the decrease function in the given population:

FV= PV/(1+g)^n

FV= future value

PV= present value

g= decrease rate

n= number of periods

Now, for the given information:

PV= 330

g= 22% = 0.22

n= 5 years

FV= 330 / (1.22)^5

FV= 122

if I have a 40 in a class and get 100% on something thats 40% of my grade. whatsmy new grade PLEASE ANSWER like please please please please answer

Answers

Answer: depends on how your class is weighted, and specifically how many points the thing is, and your point score.

Step-by-step explanation:

i guess 60%? it's too vague

Hmm l can’t figure it out

Gavin works as a salesperson at an electronics store and sells phones and
phone accessories. Gavin earns a $12 commission for every phone he sells
and a $3.50 commission for every accessory he sells. On a given day, Gavin
made a total of $135 in commission and sold 12 more accessories than
phones. Determine the number of phones sold and the number of accessories
sold.

Answers

Answer: Hence, there are 6 phones and 18 accessories sold.

Since we have given that

Let number of phones sold be 'x'

Let number of accessories sold be 'y'.

Commission for every phone = $12

Commission for every accessory = $3.50

Total commission = $135

And Difference between accessories and phones sold = 12

According to question, we get that

Using both the equations, we get that

x=6 and y = 18

You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.

Answers

Answer:

4500

Step-by-step explanation:

10000 x .09 x 5

Find the slope between the following two points: (3, 1), (5, 4).

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

[tex]slope = \frac{4 - 1}{5 - 3} \\ \\ = \frac{3}{2} \\ \\ = 1.5[/tex]

1.5 is the answer to your problem

25 POINTS AND BRAINLIEST!! Clay wants to ride a Ferris wheel that has a radius of 80 feet and is suspended 9 feet above the ground. The wheel makes 6 revolutions in one minute. Find the period and amplitude.

Answers

Answer:

Step-by-step explanation:

Linear velocity and angular velocity are related by the formula:

v = ωr

ω = n2πr/t, where n is the number of rotations, t is the time taken, r is the radius.

ω = 2 x 2π x 25/1

ω = 100π

v = 100π x 25

= 2500π feet per minute

3a−1=2a
show work, please

Answers

Answer:

a = 1

Step-by-step explanation:

3a - 1 = 2a

3a - 2a - 1 + 1 = 2a - 2a + 1

a = 1

Answer:

Your answer is A = 1

Step-by-step explanation:

You would subtract 3a from 2a

so it would be -1 = 1a

Then divide by 1 and your answer is A= 1

Billy has a gift card with a $160 balance. He buys several video games that cost $40 each. After the purchases, his gift card balance is $40. Enter an equation to help find out how many video games Billy bought.

Answers

Answer:

160÷3=40

Step-by-step explanation:

that is the answerrrrrrrrrrrrrrrrrrrrrrrrrrr

can someone help me on this​

Answers

Answer:

A. The balloon rises 1 mile every 1/5 minute.

Step-by-step explanation:

1. Height = 1/5Time

2. For every mile risen, it takes 1/5 Minutes.

or if its easier to understand the other way around

For every 1/5 minutes, the balloon rises 1 mile

I hope my answer is correct and that you get a good grade!

Please help me I've been dying for twelve minutes.

Answers

1 goes on the first on -1 goes on the second

- 1/125 goes on the last one and -125 the third one

What is the area of a quadrilateral with vertices at (1,6),(7,6),(1,12),(7,12)?

Answers

Answer:

Let us consider the quadrilateral ABCD shown below. 

Let us consider the quadrilateral ABCD shown below. 

In the above quadrilateral, A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) are the vertices.

To find area of the quadrilateral ABCD, now we have take the vertices A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) of the quadrilateral ABCD in order (counter clockwise direction) and write them column-wise as shown below. 

Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows.

(x1y2 + x2y3 + x3y4 + x4y1) -----(1)

Add the diagonal products x2y1, x3y2, x4y3 and x1y4 are shown in the dotted arrows.

(x2y1 + x3y2 + x4y3 + x1y4) -----(2)

Subtract (2) from (1) and multiply the difference by 1/2 to get area of the quadrilateral ABCD.

So, area of the quadrilateral ABCD is

=  (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)

- (x2y1 + x3y2 + x4y3 + x1y4)}

Problem :

Find the area of the quadrilateral whose vertices are

(-4, -2), (-3, -5), (3, -2) and (2, 3)

Solution : 

Let A(-4, -2), B(-3, -5), C(3, -2) and (2, 3).

Plot A, B, C and D in a rough diagram and take them in counter-clockwise order.

Then,

(x1, y1)  =  (-4, -2)

(x2, y2)  =  (-3, -5)

(x3, y3)  =  (3, -2)

(x4, y4)  =  (2, 3)

Area of triangle ABC is 

=  (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)

- (x2y1 + x3y2 + x4y3 + x1y4)}

=  (1/2) x  {[20 + 6 + 9 - 4] - [6 - 15 - 4 - 12]}

=  (1/2) x  {[31] - [-25]}

=  (1/2) x  {31 + 25}

=  (1/2) x  56

=  28

So, area of the given quadrilateral is 28 square units.

In the above quadrilateral, A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) are the vertices.

To find area of the quadrilateral ABCD, now we have take the vertices A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) of the quadrilateral ABCD in order (counter clockwise direction) and write them column-wise as shown below. 

Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows.

(x1y2 + x2y3 + x3y4 + x4y1) -----(1)

Add the diagonal products x2y1, x3y2, x4y3 and x1y4 are shown in the dotted arrows.

(x2y1 + x3y2 + x4y3 + x1y4) -----(2)

Subtract (2) from (1) and multiply the difference by 1/2 to get area of the quadrilateral ABCD.

So, area of the quadrilateral ABCD is

=  (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)

- (x2y1 + x3y2 + x4y3 + x1y4)}

Problem :

Find the area of the quadrilateral whose vertices are

(-4, -2), (-3, -5), (3, -2) and (2, 3)

Solution : 

Let A(-4, -2), B(-3, -5), C(3, -2) and (2, 3).

Plot A, B, C and D in a rough diagram and take them in counter-clockwise order.

Then,

(x1, y1)  =  (-4, -2)

(x2, y2)  =  (-3, -5)

(x3, y3)  =  (3, -2)

(x4, y4)  =  (2, 3)

Area of triangle ABC is 

=  (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)

- (x2y1 + x3y2 + x4y3 + x1y4)}

=  (1/2) x  {[20 + 6 + 9 - 4] - [6 - 15 - 4 - 12]}

=  (1/2) x  {[31] - [-25]}

=  (1/2) x  {31 + 25}

=  (1/2) x  56

=  28

So, area of the given quadrilateral is 28 square units.

The area of the given quadrilateral with vertices at (1,6),(7,6),(1,12),(7,12) is 28 square units.

Let the quadrilateral be ABCD.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

We need the area of the quadrilateral whose vertices are;

(-4, -2), (-3, -5), (3, -2) and (2, 3)

Let; A(-4, -2), B(-3, -5), C(3, -2) and (2, 3).

Then, we have;

(x1, y1)  =  (-4, -2)

(x2, y2)  =  (-3, -5)

(x3, y3)  =  (3, -2)

(x4, y4)  =  (2, 3)

Area =  (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)

- (x2y1 + x3y2 + x4y3 + x1y4)}

=  (1/2) x  {[20 + 6 + 9 - 4] - [6 - 15 - 4 - 12]}

=  (1/2) x  {[31] - [-25]}

=  (1/2) x  {31 + 25}

=  (1/2) x  56

=  28

So,

The area of the given quadrilateral with vertices at (1,6),(7,6),(1,12),(7,12) is 28 square units.

Learn more about quadrilaterals here:

https://brainly.com/question/1365755

#SPJ5

what is 5 1/3 as an improper fraction??

Answers

Answer:

5/3

Step-by-step explanation:

PLS MAKE ME AS BRAINLIST

2 (x+4) = 2 (x-6) Solve the equation

Answers

Answer: x=16 this is the answer without the 2 in the beginning of the equation with the 2 there's no solution

Step-by-step explanation:

What number is 7.2% of 35?

Answers

Answer:

2.52

Step-by-step explanation:

35 x 7.2 = 2.52 :D

|-10| divided by 2 x |5|

Answers

Answer:

1

Step-by-step explanation:

|-10| divided by 2 x |5| would equal 1.

Answer:

1

Step-by-step explanation:

The absolute value of -10 is 10. Divide that by what I'm assuming is 2 times the absolute value of 5 (5) is 10. 10 divided by 10 is 0.

Which statement is true?
Question 9 options:

A)

|–45| = 45 and |–96| = 96.

B)

–|–45| = 45 and –|–96| = –96.

C)

|–45| = 45 and |–96| = –96.

D)

|–45| = –45 and |–96| = –96.

Answers

Answer:

d can be right answer....

A is a right answer (if the number is negative between lines it gone be positive out of em )

Which fraction is represented by point A on the number line?​

Answers

-1/4

((20 word minimum dont mind ))

Write an equation in point-slope form for the line through the given point with the given slope
(8,-3);m= -1/4

Answers

Answer: y+3= -1/4(x-8)

Step-by-step explanation: so if y-y1=m(x-x1) and y1= -3 and x1=8 and m=(-1/4) u just plug in those number to the equation

please help me
I don't answer this
I'll give brilliance​

Answers

Answer:

2 oz.

Step-by-step explanation:

2 eggs is 4 oz. of oil so 4/2 =2 oz for 1 egg

2 :) hope this helps

Name the property that proves these triangles are congruent

Answers

Answer:

SAS or Side-Angle-Side

Step-by-step explanation:

Comparing Functions


How much money will Bob in December have if his bank account growth stays at the same rate?


Month Bank-Acc

|

January | $5,000

February $6,700

March $8,400

April $10,100

May $11,800

Answers

He will have 22,900 by December.
in december Bob would have 23,700, the rate is +1,700 every month

Carissa earns $450 per week for a 40 hour work week plus $16.83 per hour for each hour of overtime after 40 hours. Write an equation that would be used to determine her weekly wages where, W, is her wages and, V, is the number of overtime hours worked.

Answers

Answer:

W = 450 + 16.83V

Step-by-step explanation:

For 40 hours Carissa

earning = $450

earning for 1 hour of over time = $16.83

multiplying both side by V

earning for v hour of over time = $16.83*V = $16.83V

weekly wage(W) = earning for 40 hours + earning for V hour of over time

W = 450 + 16.83V

Thus equation will be as given below for weekly earning

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