9514 1404 393
Answer:
8000π mm^3/s ≈ 25,133 mm^3/s
Step-by-step explanation:
The rate of change of volume is found by differentiating the volume formula with respect to time.
V = 4/3πr^3
V' = 4πr^2·r'
For the given numbers, this is ...
V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s
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<em>Additional comment</em>
By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.
Answer: B.The cost of rental fee only
Step-by-step explanation:
The $35 is the cost of the rental fee only. The person would then have to pay a further $15 for every hour they use the boat.
Essentially, the $35 is the fixed cost associated with the rental and the $15 is the variable cost to do so. If this were in a linear equation format it would take the form: y = 15x + 35.
5 points not 10 but
5/8 each day
5 days=5 times 5/8=5/1 times 5/8=25/8=24/8+1/8=3+1/8=3 and 1/8
3 and 1/8 mile
Answer and Explanation:
The line seems to pass trough the points (0,6) and (-3,4).
Slope is: 
The slope of the line should be 
.
