Answer:
x = 1000
Step-by-step explanation:
5,350 ÷ x = 5.35
To find this you should divide 5,350 by 5.35.
5,350 ÷ 5.35 = 1000
x = 1000
Answer:
11/50
Step-by-step explanation:
22% is 22/100
So, divide 22/100 by 2 to get 11/50, which cannot be simplified any further.
Answer: 2/3
Step-by-step explanation:
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:
The equation of the line y= 5x+1. Line that is parallel to the function given should have the same slope as the equation which is 5. We use the point-slope form in order to find the second equation that contains the point (4,5).
y - 5 = 5(x-4)
y = 5x - 20 +5
y≈ 5x -15