Answer:
5√3 ft/s
Step-by-step explanation:
Let h represent the horizontal distance of the kite from the person. Let s represent the string length. Then the Pythagorean theorem tells us ...
s^2 = 100^2 + h^2
2s·ds/dt = 0 + 2h·dh/dt
ds/dt = (h/s)·dh/dt
So, we need to know the horizontal distance when s=200.
200^2 = 100^2 + h^2
40000 -10000 = h^2
h = 100√3
Substituting known values into the equation for ds/dt, we have ...
ds/dt = (100√3)/(200)(10 ft/s) = 5√3 ft/s
The string must be let out at 5√3 ft/s when it is already 200 ft long.
Answer:
Step-by-step explanation:
we know that
The equation of a exponential decay function is equal to
where
r is the number of bacteria remaining
n is the number of hours since the antibiotic was applied
a is the initial value
r is the rate of change
we have
substitute
Answer:
It is 65.97cm^2
So I think it is option B) 21 pi = 65.97
V=pi(3^2)7/3
Step-by-step explanation:
