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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:
A just did the assignment
Step-by-step explanation:
if this helped give brainlest
7x/2 < 5
7x/2 * 2 < 5 * 2
7x < 10
7x71 < 10/7
x < 10/7
Answer: the costs would be the same if he orders 29 rose flowers.
Step-by-step explanation:
Let x represent the number of roses that Victor would order such that the cost will be the same with either flower shop.
Dayton Florist charges $3 per rose, plus $12 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is
3x + 12
Tammy's Flowers, in contrast, charges $2 per rose and $41 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is 2x + 41
For the costs to be the same, the number of rose flowers that he orders would be
3x + 12 = 2x + 41
3x - 2x = 41 - 12
x = 29
Divide 27 by 60, then multiply by 100:
27 /60 = 0.45
0.45 x 100 = 45%
