The red graph is the result of a vertical translation, 4 units down, of the black graph.
This means that, whenever the black graph associates
The red graph must associate 4 less to the same input:
So, the equation for the red graph is
or, equivalently,
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.
60% if there are only 10 white and black balls
Answer:
x = 8
Step-by-step explanation:
3(x-5)+6x = 3x-15+7x
3x-15+7x = 65
10x = 80
x = 8
