1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mars2501 [29]
1 year ago
13

The edges of a cube increase at a rate of 3 cm/s. How fast is the volume changing when the length of each edge is 40 cm?

Mathematics
1 answer:
OLga [1]1 year ago
7 0

Answer:

  14400 cm³/s

Step-by-step explanation:

Find the rate of change of volume in terms of edge length, and evaluate the expression for the given conditions.

<h3>Rate of change of volume</h3>

  V = s³ . . . . volume in terms of edge length (s)

  dV/dt = 3s²·ds/dt . . . . . . derivative of volume with respect to time

For the given values of s and ds/dt, this is ...

  dV/dt = 3(40 cm)²(3 cm/s) = 14400 cm³/s

You might be interested in
Which could be the first step in simplifying this expression? Check all that apply. (x^3x^-6)^2
allsm [11]
If the expression is what I understand it is, this is my answer. (x to the third times x to the negative sixth all squared)

First, i would simplify what is inside the parentheses. x^-6 is the equivalent to
1/x^6. Therefore, the expression inside the parentheses is a fraction: x^3/x^6.

When dividing numbers with exponents, just subtract the exponents. 
3-6= -3     so the simplification of the expression in the parentheses is 1/x^3.

To finish the problem, I would apply the square from outside the parentheses to the values inside them. In this way, the exponent would be multiplied by 2.

Our final answer is 1/x^6.
3 0
3 years ago
2(7x-9)=5(x+3)<br> Solve for x
Nadya [2.5K]

Answer:

x = 3.67

Step-by-step explanation:

Simplify both expressions

14x - 18 = 5x + 15

Subtract the bigger (n)x by the smaller

14x - 5x = 9x

Plus the smallest by itself, giving you:

9x - 18 = 15

     +18   +18

9x = 33

Simplify ( divided by 3 )

3x = 11

x = 3.67

7 0
3 years ago
A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 1/3x. Find the height of
Temka [501]

Great question! I had this question in Geometry on Edmentum.

Answer: Height of cone = 3y

Step-by-step explanation:

We know that the cylinder and the cone have the same volume. The cylinder has radius x and height y. We will make use of the formulas:

Volume of cylinder = πr²h

Volume of cone = 1/3πr²h

Since the cone has radius 1/3x, we will have to make its height 3 times of y (the height of the cylinder) to make both the cylinder and the cone have the same volume.

So, the height of the cone is equal to 3y.

Hope this helps, and have a wonderful day! :D

Please mark me brainliest! I don't have trouble getting points, but I do when it comes to brainliest.

7 0
3 years ago
Use the distributive property to simplify the following expression: -3(-x - 3y)
alexandr402 [8]

Step-by-step explanation:

-3(-x -3y) = 3( x +3y) = 3x+9y

7 0
3 years ago
6x - 2y = 26<br><br> 2x + 3y = 5
labwork [276]

Answer:

x = 4, y=-1

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Help help plz about to fail
    11·1 answer
  • When fully loaded 747 airplane flies at 475 .13 miles per hour. How far can a loaded 747 travel in 5.25 hours? round your answer
    11·1 answer
  • Find (f•f)(3) f(x) = x^2 - x
    6·1 answer
  • A geometric sequence is defined by the explicit formula an = 5(-3)n-1. What is the recursive formula for the nth term of this se
    7·1 answer
  • Of the students in Ms. Smiths class, 6 walk to school. This represents 30% of the students in her class. How many students are i
    11·2 answers
  • Jon Lyons refinishey furniture. He is paid $22.50 for each cabinet he refinishes. How much will Jon earn if he
    6·1 answer
  • During a huge snowstorm in the White Mountains last year, it snowed 200 centimeters in one week. How much did it snow in meters?
    7·2 answers
  • I need help, I wasn't in class when we did this assignment and my teacher didn't go over it. Help the best you can :)
    12·2 answers
  • Payal is going to Turkey. The exchange rate is £1 = 3.1938 lira. She changes £582 to lira. How
    11·1 answer
  • Choose the angle which is represented by the name.<br><br> RUN and NUG
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!