If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then torricelli's law gives the volume v of water remaining in the tank after t minutes as v=5000(1−t40)20≤t≤40. find the rate at which water is draining from the tank after the following amount of time. (remember that the rate must be negative because the amount of water in the tank is decreasing.)

V'(t) =

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Step-by-step explanation:

Given:

V =  , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) =

V'(t) =

When we simplify the above, we get

V'(t) =

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

dnji

step-by-step explanation:

dskfbipo

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq