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
Mariana [72]
3 years ago
5

A spherical balloon is being deflated at a rate of 5 cubic centimeters per second. At what rate is the radius of the balloon cha

nging at the instant the volume of the balloon 972pi cm^3?
Mathematics
1 answer:
Dvinal [7]3 years ago
5 0

Answer:

0.0048cm/s

Step-by-step explanation:

Volume of the spherical balloon is expressed as;

V = 4/3 \pi r^3\\

dV/dt = dV/dr * dr/dt

Given

dV/dt = 5cm³/s

dV/dr = 4πr²

Since V = 972picm³

972π = 4/3πr³

972 = 4/3r³

4r³ = 972 * 3

r³ = (972 *3)/4

r³ = 729

r = ∛729

r = 9cm

dV/dr = 4π(9)²

dV/dr = 324π

dV/dt = dV/dr * dr/dt

5 = 324πdr/dt

dr/dt = 5/324π

dr/dt = 5/324(3.14)

dr/dt = 5/1017.36

dr/dt = 0.0048cm/s

You might be interested in
Find the solution of the differential equation dy/dx=(x^2-y)/(x-y^2)
Ivan
Consider this option (basic steps are marked).

6 0
3 years ago
PLS HELP ,,,
LenKa [72]

The function, g(x), has a constant rate of change and will increase at a faster rate than the function f(x) for all the values of x.  

Given:

g(x) = 5/2 x -3 ..... (1)

f(x) = - 3.5 at x = 0

So, putting the value of x=0 in equation (1) for comparison. We get,

g(x) at x = 0

=> g(x) = 5/2 x (0) - 3

=> g(x) = -3

In this value of x function g(x) is faster than function f(x) having a value equal to -3.5.

Similarly, put x = 1 in equation (1) for comparison. We get,

=> g(x) = 5/2 x (1) - 3

=> g(x) = (5-6)/2

=> g(x) = -1/2

In this value of x function g(x) is faster than function f(x) having a value equal to -1.

Similarly, put x = 2 in equation (1) for comparison. We get,

=> g(x) = 5/2 x (2) - 3

=> g(x) = (5-3)

=> g(x) = 2

In this value of x function g(x) is faster than function f(x) having a value equal to 1.5.

Similarly, put x = 3 in equation (1) for comparison. We get,

=> g(x) = 5/2 x (3) - 3

=> g(x) = (15/2 - 3)

=> g(x) = 7.5 - 3

=> g(x) = 4.5

In this value of x function g(x) is faster than function f(x) having a value equal to 4.

Therefore, for all values of x function g(x) is faster than function f(x).

function f(x).

To learn more about the function visit: brainly.com/question/14996787

#SPJ1

8 0
1 year ago
A triangle has sides with lengths of 8 inches, 15 inches, and 17 inches. Is it a right triangle?
In-s [12.5K]

Answer:

Yes

Step-by-step explanation:

A square plus b square equal c square

3 0
3 years ago
Read 2 more answers
Need help for these two questions, any help is appreciated ​
kherson [118]

Answer:

I believe the answer is C

Step-by-step explanation:

5 0
3 years ago
What is the distance from L1 to D? That is, what is the measure of the line segment L1D? Hint: review the diagram in "The Race C
velikii [3]

A line segment in geometry is the part of a line which is bounded by two distinct end points.

<h3>What is line segment?</h3>

Your information is incomplete. Therefore, an overview will be given. A line segment simply means a part of a line that has two endpoints.

A line segment contains end points and the points if the line that's between them. A segment is typically named by two endpoints like AB.

Learn more about line segments on:

brainly.com/question/2437195

6 0
2 years ago
Other questions:
  • The retangular floor of a bathroom is 6 feet wide and 7 feet long . What is the total area in square feet of the floor of the ba
    6·2 answers
  • An angle measures 76° less than the measure of a complementary angle what is the measure of each angle
    5·1 answer
  • Mrs. Williams is ordering designer cupcakes for her wedding.
    14·1 answer
  • What is the difference between ≤ and &lt; ?
    12·1 answer
  • Btw the options for 5 are A-105.7 B-10.57 C-1.057 D-0.1057
    12·2 answers
  • Consider the function represented by the equation y-6x-9 +0. Which answer shows the equation written in function notation
    12·1 answer
  • The dot plots show the number of hours a lightbulb lasts from two different brands. Brand A. Number of hours per lightbulb 1000
    10·1 answer
  • What is the slope of this line?<br> 3/4<br> −3<br> −3/4<br> 4
    6·2 answers
  • What is figure g select all that apply
    8·1 answer
  • Sam and Jane split the cost of one sandwich and two bottles of water. The sandwich cost $4.50 and EACH bottle of water cost $1.2
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!