Yes.
y represents the temperature.
x represents the number of hours past 8:00am.
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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.
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He cut the poster board into 10 equal parts, so you start with none of the poster board being used up.
Since there were 10 sheets of poster board, and now 8/10 of the original amount is left, we know that there must now be 8 sheets left out of the original 10 sheets.
He can make one sign for each remaining sheet, so he can make 8 signs.
The answer is C.
Answer:
We conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.
Thus, the domain of g is: -7 ≤ x ≤ 4
Step-by-step explanation:
We know that the domain of a function is the set of inputs or argument values for which the function is defined.
From the given graph, it is cleared that the function g starts from the x-value x = -7 and ends at x = 4.
It means the function is defined for the set of input values from x = -7 to x = 5 for which the function is defined.
Therefore, we conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.
Thus, the domain of g is: -7 ≤ x ≤ 4
Answer:
360 people in 3 hours. 120 people per hour.
Step-by-step explanation:
How many times do 20 minutes go into 3 hours?
Well, 60 min. ÷ 20 min. = 3
So, 3 x 3 = 9
So 40 people went on the ride each 20 minutes. And there are (3) 20 minutes in every hour.
So 3 hours would be 9 x 40 = 360
120 people per hour because 40 x 3 = 120
and 20 minutes (3) times equals 1 hour.