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: 427 miles
Step-by-step explanation:
if the jeep averages 30.5 miles per gallon, and you have 14 gallons, then you will need to multiply 30.5*14 to get your answer, which is 427
If you would like to complete the factorization, you can do this using the following steps:
<span>4p^2 + 36p + 81 = (2p + 9) * (2p + 9) = (2p + 9)^2
</span>
The correct result would be 9.
Answer:
y = -5/4x + 7 1/4
Step-by-step explanation:
The difference in y (10) over the difference in x (8)
Answer:
See below.
Step-by-step explanation:
If the exponent is a/b then a is the power and b is the value of the radical.
Example: x^2/3 = ∛x². 2 is the power and 3 is the radical.
Answers:
1) 7^2/3 = ∛7²
5) √3 = 3^1/2
9) (∛27)⁴ = 27^4/3 = 3^4 = 81.