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

The complex numbers z1 and z2 are graphed. Which point represents z1 – z2?

Answers

Answer:

A EDGE 2020

Step-by-step explanation:

I got it wrong twice and it gave me the answer :)

The point represents z₁ - z₂ will be A. Then the correct option is A.

What is a complex number?

The complex number is the combination of the real part and the imaginary part. Then the complex number is given as

⇒ a+bi

The complex numbers z₁ and z₂ are graphed.

The expression of z₁ and z₂ are given below.

z₁ = 4 – i

z₂ = –3 – 2i

Then the difference between z₁ and z₂ will be

z₁ - z₂ = (4 – i) – (–3 – 2i)

z₁ - z₂ = 4 – i + 3 + 2i)

z₁ - z₂ = 7 + i

Then the correct option is A.

More about the complex number link is given below.

https://brainly.com/question/10251853

#SPJ2

HELP ASAP!!
geometry

Answers

Answer:

Step-by-step explanation:

Y+6=3y-30

Subtract y from the left

6=2y-30

Add 30 to both sides

36=2y

Divide by 2

18=y

2x+29=4x-47

Subtract 2x

29=2x-47

Add 47

76=2x

Divide by 2

38=x

5x-3 /4=2x+3

Pls help

Answers

Answer:

x=-5

Step-by-step explanation:

5x-3/4=2x+3

First, multiply by 4

5x-3=4(2x+3)

Next, distribute.

5x-3=8x+12

Subtract 5x

-3=3x+12

Subtract 12

-15=3x

x=-5

Hope this helps :D

5x-3/4=2x+3
You do reseprocal/cross multiplication
5x-3=4(2x+3)
5x-3=8x+12
5x-8x=12+3
-3x=15
x=15/-3
x=-5

1
A line has a slope of -2 and a y-intercept of -2.
7
6
6
4
3
1
3-7-6-5-4-3-2-1
1 2 3
6 67
X
-3
4
-
--7-
What is the x-intercept of the line?

Answers

Answer:

-1

Step-by-step explanation:

Which is the solution to the equation 8.25 + one-fourth w = 10.75? Round to the nearest hundredth if necessary.

Answers

Answer:

w=10

Step-by-step explanation:

8.25+1/4w=10.75

8.25+0.25w=10.75

0.25w=10.75-8.25

0.25w=2.5

w=10

I hope this helps

Answer:

C/10

Step-by-step explanation:

Evaluate (27)-2
-2/3
Express your answer as a fraction in simplest form.
The solution is

Answers

Note: The expression you have written sounds a little unclear, but I am assuming your expression is (27)-2-2/3.

So, I am solving the question based on assuming the expression as (27)-2-2/3, which would still clear your concept.

Answer:

The expression in the simplest form is:

[tex]\left(27\right)-2-\frac{2}{3}=\frac{73}{3}[/tex]

Step-by-step explanation:

Given the expression

[tex]\left(27\right)-2-\frac{2}{3}[/tex]

simplifying the expression in the simplest form

[tex]\left(27\right)-2-\frac{2}{3}[/tex]

[tex]=25-\frac{2}{3}[/tex]

[tex]=\frac{25\cdot \:3-2}{3}[/tex]

[tex]=\frac{73}{3}[/tex]

Thus, the expression in the simplest form is:

[tex]\left(27\right)-2-\frac{2}{3}=\frac{73}{3}[/tex]

A)y=-2x+3, y=2
B)y=-2x-3, x=2
C)y=2x-3, y=2
D)y=2x+3,x=2​

Answers

the answer is d)y=2x+3,x=2

help!!! ill give brainliest!!

Answers

Answer:

4.123

Step-by-step explanation:

Just have to think what times itself = 17 and I thought well Istill close to 4 and then I just did the work

also PLZ MARK ME BRAINLIEST

FREE 9 = Tucson


...



..

Answers

Answer:

Tuscon. btw DIE MAX!

Step-by-step explanation:

Answer:yo the rule is

R% x P x T

which in this question is:

r%= 9%

p= 630

t=8

so

630 x 8 x 9% = 453.6

that's the final answer and in order to make sure make

630+453.6=1083.6

Step-by-step explanation:

Jackson is at colletibles fair. He has exactly $8 and will purchase a collectibles card from a vendor for $5. What percentage will jackson spend on the purchase?


A. 0.625%

B. 3%

C. 40%

D. 62.5%

Please help me out or explain how do i do it, but if you give me the answer ill give you brainliest!

Answers

I think the answer is B

Solve for theta to the nearest degree​

Answers

Step-by-step explanation:

So first thing is to determine which trigonometric ratio we use here. Theta is adjacent to 5 and 8 is the hypotenuse, so we should be using Cosine.

So we set up the equation

cos θ = adj/hype

cos θ = 5/8

θ = [tex]cos^{-1} (5/8)[/tex]

θ=51.3178125...

θ=51°

What is the fifth term in the sequence 17.3, 34.3, 51.3, 68.3...?

A 77.7
B 85
C 85.3
D 89.7​

Answers

The fifth term in the sequence would be C.

the set of non integers

Answers

Step-by-step explanation:

A non negative integer is an integer that that is either positive or zero. It's the union of the natural numbers and the number zero

Which quadrilateral has diagonals that are both congruent and perpendicular?

Answers

Answer:

Rhombu is the answer

Answeris rhombus

What is the reciprocal of 5 1/8

Answers

Answer:

0.19512195122

Step-by-step explanation:

It is 8/41.

5 1/8 = 41/8.
You flip it over and it equals to 8/41

When writing an equation in slope-intercept form, you need the values of the

Answers

Answer:

slope, m

y-intercept

Step-by-step explanation:

When writing an equation in slope-intercept form, there will be need for slope and y- intercept.

What is the slope intercept form of an equation ?

When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.

Here m is slope and c is constant.

To writing the slope intercept form of the equation,

There will be requirement of slope,

and y intercept, it will be in form of (0, a), here a will be value of y coordinate.

To know more about Slope intercept form :

https://brainly.com/question/9682526

#SPJ2

What is the y-intercept of the function f(x) = -2/9x + 1/3x?

Answers

Answer:

Step-by-step explanation:

Pleas help me on this

Answers

Answer:

3x

Step-by-step explanation:

x+x+x

=3x

if i am wrong than sorry

I think 3x I’m not completely sure tho!

Mark uses 19 gallons of gas while traveling 399
miles at a constant rate in his car. How many
miles is Mark able to travel on 9 gallons of gas?

Answers

Answer:

189

Step-by-step explanation:

If mark uses 19 gallons to travel 399 miles, that means he was able to travel 21 miles per gallon.

We get this by taking 399 divided by 19.

So if mark travels on 9 gallons of gas and goes 21 miles per gallon, he will have traveled 189 miles.

We get this by taking 21 times 9


Point P is the center of the circle in the figure above. What is the value of x?

Answers

Answer:

x = 80°

Step-by-step explanation:

To find x, we need to create an equation.

Recall that the sum of all the 4 interior angles of a quadrilateral = 360°.

Therefore:

m<B + m<A + m<C + m<P = 360°

m<B = 20° (given)

m<C = 20° (given)

m<A = ½*x = x/2 (inscribed angle theorem)

m<P = (360 - x)°

Plug in the values and solve for x

[tex] 20 + \frac{x}{2} + 20 + (360 - x) = 360 [/tex]

[tex] 20 + \frac{x}{2} + 20 + 360 - x = 360 [/tex]

Collect like terms

[tex] 20 + 20 + 360 + \frac{x}{2} - x = 360 [/tex]

[tex] 400 + \frac{x}{2} - x = 360 [/tex]

Subtract 400 from each side

[tex] 400 + \frac{x}{2} - x - 400 = 360 - 400 [/tex]

[tex] \frac{x}{2} - x = -40 [/tex]

[tex] \frac{x - 2x}{2} = -40 [/tex]

[tex] \frac{-x}{2} = -40 [/tex]

Multiply both sides by 2

[tex] \frac{-x}{2} \times 2 = -40 \times 2 [/tex]

[tex] -x = -80 [/tex]

Divide both sides by -1

[tex] \frac{-x}{-1} = \frac{-80}{-1} [/tex]

[tex] x = 80 [/tex]

Can whoever answers this give a full explanation of what numbers i'm supposed to put (screenshot is there)

Answers

Long division is easier than you think. Here's how to solve this problem:

1. See how many times 36 can go into 66.

Multiply until you reach a number that is closest (or exact) to 66.

36 x 1 = 36; 36 x 2 = 72.

72 is over 66, so 2 doesn't work. Therefore, we'd put "1" in the first space on the shelf (right above the 6).

2. Subtract.

Now that we have "1" on the shelf, you need to subtract 36 by 66. We do this because 36 x 1 is 36. If it were the number "2" on the shelf, we'd subtract 72, and so on.

66 - 36 = 30.

3. See how many times 36 can go into 30.

Since it can't go into 30, we bring the 3 down (hence the arrow pointing down). The number is now 303.

4. See how many times 36 can go into 303.

I won't write it all out, but after multiplying 1-7 by 36, we find that the closest solution is 36 x 8 = 288.

We put "8" on the shelf, next to "1".

5. Subtract.

Now that "8" is on the shelf, we subtract 288 by 303, which gives us 15.

Since 36 cannot go into 15, and there are no more numbers we can drag down, your remainder is 15.

Your answer is:

36 R 15

The first two boxes under 663 should be filled with 36, the next three under that should have 303, the next three should have 288, and the final two boxes should have 15.

I hope this helped!

what’s the answer to (7−4n)⋅6

Answers

42 - 24n
I think and I hope this helps
simplified it would be 28n*6

21 boys and 14 girls. What is the ratio of girls to boys in Ms. Hawthorne's class?

Answers

Answer:

14 to 21

Step-by-step explanation:

reverse of 21 to 14 = 14 to 21

for geometry:(

will give brainist!!

Answers

Step-by-step explanation:

that's ur answer

I hope you understand

Solve equations by using elimination
-4+5y= 13
X-5y=21
( , )

Answers

Answer:

y=17/5 ,x= 38

Step-by-step explanation:

-4+5y =13 add 4 both side

4-4+5y=13+4

5y=17

5y/5=17/5 y=17/5

x-5y=21

x-5(17/5)=21

x-17=21

x=21+17= 38

HELP DUE TOMORROW ASAP BAINLYEST

Answers

Answer:

B is the correct answer

Step-by-step explanation:

3/12 = 1/4 = 0.25

Answer:

Step-by-step explanation:

(B)

Can any one help
WILL GIVE 30 POINTS

Answers

The believe the answer is C but I could be wrong, good luck!

Answer:I think it’s b too

Step-by-step explanation:

Help me with this Fraction problem please, IT's Simple

Answers

Answer:

x=2

Step-by-step explanation:

26 divided by 13 is 2

,,,,,,,,,hi help pls

Answers

Answer: slope is 0
to find the slope , you have to subtract y-es and divide them by x-es.(delta y/ delta x)
so,
(-6,-2) (-7,-2)
slope: -2-(-2)/-7-(-6)
slope:0/ -1
slope: 0
which looks on the graph like this:

f(x) = -4x^2+ 10
Find f(-2)

Answers

Answer:

-6

Step-by-step explanation:

plug -2 into x

-6 should be the correct answer
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