Your answer is <span>–4.9t^2 + 15t + 1 = 0
Hope this helps.
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Answer:
Stesksp-by-step explanation:
Answer: dr/dt = 9/(24pi) cm per minute
9/(24pi) is approximately equal to 0.119366
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Work Shown:
Given info
dS/dt = 18 cm^2/min is the rate of change of the surface area
r = 6 cm is the radius, from the fact that the diameter is 12 cm
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Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius
S = 4*pi*r^2
dS/dt = 2*4*pi*r*dr/dt
dS/dt = 8*pi*r*dr/dt
18 = 8*pi*6*dr/dt
18 = 48*pi*dr/dt
48pi*dr/dt = 18
dr/dt = 18/(48pi)
dr/dt = (9*2)/(24*2pi)
dr/dt = 9/(24pi)
The units are cm per minute, which can be written as cm/min.
It is asking to find the cost (c) for (p) number of pizzas at $8 each. So 1 pizza would be $8 and 2 would be 2 * 8 = 16 and 3 would be 3 * 8 = 24 and 4 would be 4 * 8 = 32 and p would be p * 8 = c. So the answer is:
c = 8p
15. a ratio is a fraction comparing numbers showing how they relate to each other.
if she mixed 3 ounces of blue and 2 of yellow, this would make 5 ounces of green paint. So the ratio is 3/2. to get 20 ounces of green paint she would have to do this mixture 4 times since she gets five each time. If she mixes 2 ounces of yellow paint four times, she would use 4 * 2 = 8 ounces of yellow painy