Answer:
C.
Step-by-step explanation:
Answer:
The water level is dropping at a rate of 0.24 ft/s
Step-by-step explanation:
Here, we simply want to calculate the change in depth (height of the cone) , given the volume change
Mathematically, we have the volume of a cone as;
V = 1/3 * π * r^2 * h
we are given dv/dt as 12 ft^3/m
dv/dh = 1/3 * π * r^2
Substituting the value for the radius, we have
dv/dh = 1/3 * 22/7 * 4^2 = 50.29
dh/dt = dh/dv * dv/dt
dh/dv = 1/(dv/dh) = 1/50.29
Thus,
dh/dt = 1/50.29 * 12
dh/dt = 0.24 ft/s
Answer:
(3,1) ; (6,-2)
Step-by-step explanation:
We have to search the points that the line and the parabola have in common, that are the points where they intercept
(3,1) ; (6,-2)
"the candle is 17 inches tall after 3 hours" then it says " after 5 hours it is 15 inches tall"
-assuming that they mean that after 2 additional hours (from 3-5), the candle is now 2 inches shorter than before, a unit of decreasing value can be determined in this case the candle is "shortening" at a rate of 1 inch/per hour. If we write this in equation form it looks like this I think: h = h-t ...... right ? so then: h = 20 - 8 , h = 12 inches after 8 hours.
20 inches is the original height of the candle before any was burnt that I calculated using the same equation - What do you think of my answer.
Is the all of the problem
