Divide 5460 by 12 and you would get the answer of 455 per hour/ one hour.
There are 89 gallons of gas that were in the tank
Step-by-step explanation:
first expand :
6p +36 -p +6
5p+42
Answer:
the slope is -1/2
the slope form is y = -1/2x -2
Step-by-step explanation:
Radius of cone is decreasing at the rate of
inches
What is rate of change?
Suppose there is a function and there are two quantities. If one quantity of a function changes, the rate at which other quantity of the function changes is called rate of change of a function.
Here rate of change of radius of cone has been calculated
Radius of cone = 18 inches
Height of cone = 11 inches
Volume of cone (V) = ![\frac{1}{3} \pi r^2h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h)
![\frac{dV}{dt} = \frac{1}{3} \pi h (2r\frac{dr}{dt})\\-541 = \frac{2}{3} \pi \times 11\times 5\times\frac{dr}{dt}\\\frac{dr}{dt} = -\frac{541 \times 3}{2 \times \pi \times 11 \times 5}\\\frac{dr}{dt} = -\frac{1623}{110 \pi}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20h%20%282r%5Cfrac%7Bdr%7D%7Bdt%7D%29%5C%5C-541%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20%5Ctimes%2011%5Ctimes%205%5Ctimes%5Cfrac%7Bdr%7D%7Bdt%7D%5C%5C%5Cfrac%7Bdr%7D%7Bdt%7D%20%3D%20-%5Cfrac%7B541%20%5Ctimes%203%7D%7B2%20%5Ctimes%20%5Cpi%20%5Ctimes%2011%20%5Ctimes%205%7D%5C%5C%5Cfrac%7Bdr%7D%7Bdt%7D%20%3D%20-%5Cfrac%7B1623%7D%7B110%20%20%5Cpi%7D)
Radius of cone is decreasing at the rate of
inches
To learn more about rate of change, refer to the link-
brainly.com/question/24313700
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