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barxatty [35]
3 years ago
11

A ball is thrown from an initial height of 5 feet with an initial upward velocity of 44ft/s. The ball's height h (in feet) after

t seconds is given by the following.
Find all values of t for which the ball's height is 25 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Mathematics
1 answer:
Virty [35]3 years ago
3 0

0=44-25t-5t^2

t^2+2t-8=0

(t+4)(t-2)=0

t=-4 (not a solution) or t=2

Answer: after 2 seconds

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Answer:

The number of mosquitoes is maximum for 6.5 inches rainfall.

Step-by-step explanation:

The given function is

M(x)=13x-x^2                   .... (1)

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We need to find the rainfall that produces the maximum number of mosquitoes.

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M'(x)=13-2x               .... (2)

Equate first derivative equal to 0.

13-2x=0

2x=13

x=\frac{13}{2}=6.5

Differential function (2) with respect to x.

M''(x)=-2

Double derivative is negative. So, the value of function is maximum at x=6.5.

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How should I solve for x and what is x?
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Answer:

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