Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.
<h3>What is the volume of a sphere?</h3>
The volume of a sphere of radius r is given by:

Applying implicit differentiation, the rate of change is given by:

In this problem, we have that:

Hence the rate of change of the radius is given as follows:




The radius is increasing at a rate of 0.0081 cm per minute.
More can be learned about implicit differentiation at brainly.com/question/25608353
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Answer: He will spend $7.50 & save $2.50
Step-by-step explanation: So if shawn downloads 5 movies at $2 a piece, that makes 10 dollars worth of movies, but it he gets a 25% discount that means he spends $2.50 less than $10 which is $7.50.
Answer:
PQ = 3.2
Step-by-step explanation:
You must use the addition property of equality, and subtract 16 from the of the 5x, and add it to the other side.
After that, you have 5x = 16
You then divide both sides by 5.
5x/5 = 1x = x
16/5 = 3.2
x = 3.2
Therefore, the side 'PQ' is equal to 3.2
Brainliest appreciated!
Answer:
5 units
Step-by-step explanation:
If point T is on the line segment SU, then ST + TU = SU.
Given
TU = 4x + 1
SU = 8
ST = 3x
To get TU, we need to get the value of x first. To get x, we will substitute the given parameters into the formula;
3x+4x+1 = 8
7x+1 = 8
subtract 1 from both sides
7x+1-1 = 8-1
7x = 7
divide both sides by 7
7x/7 = 7/7
x = 1
Substitute x = 1 into the length TU
Since TU = 4x+1
TU = 4(1)+1
TU = 5
Hence the numerical length of TU is 5 units
Answer:
5
Step-by-step explanation:
First, take away the monthy charge of 69$ just to have cable from 104$, then you will want to see that there is still a mysterious 35$ left from the bill after cable was removed. That 35$ is to be divided amoungst the 7 movies on demand that Danielle watched , leading you to get 5$ per movie on demand as your answer.