Answer:
The rate of change in surface area when r = 20 cm is 20,106.19 cm²/min.
Step-by-step explanation:
The area of a sphere is given by the following formula:
In which A is the area, measured in cm², and r is the radius, measured in cm.
Assume that the radius r of a sphere is expanding at a rate of 40 cm/min.
This means that 
Determine the rate of change in surface area when r = 20 cm.
This is 
when 
. So
Applying implicit differentiation.
We have two variables, A and r, so:
The rate of change in surface area when r = 20 cm is 20,106.19 cm²/min.
Answer:
-22
Step-by-step explanation:
The function y=400-22x is a linear equation in the form y=mx + b. Although they put "mx" after "b" so the equation doesn't start with a negative.
"m" is rate of change, or the slope if graphed.
The negative means "y" decreases as "x" increases. On a graph, it decreases left to right.
Answer:
-9 < x
Step-by-step explanation:
-3x - 7 < 20
+ 7 + 7
___________
-3x < 27
___ ___
-3 -3
x > -9 [Whenever you <em>divide</em><em> </em>or <em>multiply</em><em> </em>by a negative, reverse the inequality symbol.]
The above answer is written in reverse, which is the exact same result.
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Answer:
y=x2
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Answer:
In descending order, 1, 4, 3
