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
ra1l [238]
3 years ago
5

The volume V of a cube with sides of length x inches is changing with respect to time t (in seconds). When the sides of the cube

are 10 in. long and increasing at the rate of 0.5 in/sec, how fast is the volume of the cube increasing?
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer:

dV/dt = 3×10^2 × 0.5 = 150 in^3/sec

the volume of the cube is increasing at 150in^3/sec

Step-by-step explanation:

Volume V = length l^3

V = x^3

Differentiating both sides;

dV/dt = 3x^2 dv/dt

Given;

x = 10 in

dx/dt = 0.5 in/sec

dV/dt = 3×10^2 × 0.5 = 150 in^3/sec

the volume of the cube is increasing at 150in^3/sec

You might be interested in
Find the length of BC
sdas [7]

Answer:

It would be 90

Step-by-step explanation:

If you look at it you can see it is a right angle. And a right angle is always 90 degrees. Hopes this helps and have a nice day and stay safe

8 0
3 years ago
Determine the unit rate of a marathon runner who travels 9/2 miles in 3/4 hour.
ludmilkaskok [199]

Answer:

The marathon runner runs 1 mile every 10 minutes.

Step-by-step explanation:

9/2 miles is equal to 4.5 miles. 3/4 hours is equal to 45 minutes.

8 0
3 years ago
Janice is making a soup recipe that normally yields 8 servings. The recipe calls for 3 pounds of chicken and a certain number of
kondaur [170]

Answer:Janice needs 5 pounds of vegetables.

Step-by-step explanation:

5 0
3 years ago
Of the following options, what could be a possible first step in solving the equation 3x − 1 = 2x + 4?
madreJ [45]
Move the "x" terms to the same side
5 0
3 years ago
Read 2 more answers
Help please and show the steps
marshall27 [118]

Answer:

-sin(2A)

Step-by-step explanation:

1-(sin(A)+cons(A))^2

1-(sin(A)^2+2sin(A)cos(A)+cos(A)^2) :use FOIL to get it

1-(1+sin(2A))

1-1-sin(2A)

-sin(2A)

8 0
3 years ago
Other questions:
  • The function H(t) = −16t2 + 48t + 12 shows the height H(t), in feet, of a cannon ball after t seconds. A second cannon ball move
    12·1 answer
  • The volume of a cylinder with height h h and radius r r can be found using the formula V = ? r 2 h V=?r2h Find the volume of a c
    6·1 answer
  • Catherine rents a booth at a flea market for $80 per day she plans to sell printed T-shirts for $14 each if the cost price of ea
    11·1 answer
  • Write three different equations that have =5 as a solución
    10·1 answer
  • What's one hundred sixty times thirtyone
    12·1 answer
  • Amanda solves the equation 6x+9=57. She gets the answer x=0.5. Do you agree with Amanda? Explain your answer.
    7·2 answers
  • What is the surface area of a sphere with a radius of 30m?
    15·1 answer
  • Which expression is the best estimate of 15 x 3??
    13·1 answer
  • Please help I need u I have a picture to explain
    15·1 answer
  • Un círculo con circunferencia igual a 20 tiene un arco con ángulo central igual a 72°.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!