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
castortr0y [4]
3 years ago
13

A sphere is partially filled with air. If the volume of the sphere is increasing at a rate of 548 cubic feet per second, what is

the rate, in feet per second, at which the radius of the sphere is changing when the radius is 6 feet? Submit an exact answer. Remember that the volume of a sphere is V=(4/3)π*r^3.
Mathematics
1 answer:
Rama09 [41]3 years ago
8 0

Answer:

  137/(36π) ft/s

Step-by-step explanation:

The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...

  A = 4πr² = 4π(6 ft)² = 144π ft²

Then the relationship above is ...

  dV/dt = A·dr/dt

  548 ft³/s = (144π ft²)·dr/dt

  dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s

You might be interested in
Riley tried the following homework question:
blondinia [14]

Answer:

her balance aka ADB would be 372.08

4 0
2 years ago
There goes my hopes for Virtuoso rank....
Tpy6a [65]
Y = x^2 + 10x - 171
y = (x - 9)(x + 19)

x - 9= 0 x + 19 = 0
x = 9 x = -19

Answer B covers all requirements... the factored form is
y= (x + 19)(x - 9)
and the zeros are -19 and 9
3 0
3 years ago
Suppose an oligopoly consists of two firms. Firm A lowers price and Firm B responds by lowering its price by the same amount. If
VMariaS [17]

Answer:

The profits for firma A and B will decrease.

Step-by-step explanation:

Oligopoly by definition "is a market structure with a small number of firms, none of which can keep the others from having significant influence. The concentration ratio measures the market share of the largest firms".

If the costs remain the same for both companies and both firms decrease the prices then we will have a decrease of profits, we can see this on the figure attached.

We have an equilibrium price (let's assume X) and when we decrease a price and we have the same level of output the area below the curve would be lower and then we will have less profits for both companies.

4 0
3 years ago
Can u answer with steps?
nasty-shy [4]

Answer:

if a:c=2:3 andb:c=3:4therefore a:c=2:4

8 0
2 years ago
Which set of side lengths or angle measures can be used to construct a triangle A. 50 inches, 90 inches, 35 inches B. 60 inches,
kolbaska11 [484]

Answer:

D. 60, 45,75

Step-by-step explanation:

For options C and D

For a triangle the sum of the angles must always be equal to 180 degrees

So 180 ≠45+45+80

and

60 +45+ 75= 180

For option A and B

The length of the longer side is equal to the square root of the sum of squares of the other two sides in a triangle.

According to Pythagorus theorem

hypotenuse²= base² + perpendicular²

c²= a²+ b²

90²= 50² + 35²

8100= 2500+1225

8100≠3725

95²= 60²+ 25²

9025= 3600+ 625

9025≠4225

Therefore only D is the correct option

8 0
3 years ago
Other questions:
  • (3 ten thousands 2 thousands) x 10
    8·2 answers
  • An average person's heart beats about 103,680 times a day. Write and solve an equation to find about how many times the average
    11·1 answer
  • What is the missing number? 73 - 17 = 46 + ?
    15·2 answers
  • Sean found that 6 of his classmates wore a size 5 shoe,
    12·2 answers
  • How do you solve his
    12·1 answer
  • What is the prime number of 24
    12·2 answers
  • Find the measure of each angle in the triangle.
    8·1 answer
  • An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t
    10·1 answer
  • Are these right? HELP PLEASE !!
    9·2 answers
  • What is the slope of this line?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!