Answer:
t=1
Step-by-step explanation:
combine the one t and the 4t
16-2t=5t+9
subtract the 16
-2t=5t+9-16
-7t=9-16
-7t=-7
t=1
Answer:
I hope you have a wonderful day!
Step-by-step explanation:
I hope this makes your day :))
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.
The descent after 16 seconds would be 672 feet, with the function -42•X and X=16 so -42•16=-672