3 years ago

Evaluate each expression.

Mathematics

1 answer:

Eva8 [605]3 years ago

5 0

A is 13 and b is 27 and c is 12

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Pls answer this is my last :D 32(67/3)-45

Volgvan

Answer:

~669.7(Rounded, original, 669.666666666666...)

Step-by-step explanation:

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A ball is thrown upward and its height after t seconds can be described by formula f(t)=−10t^2+24t+5.6. Find the maximum height

torisob [31]

Answer:

<h2>The maximum height is 20 feet.</h2>

Step-by-step explanation:

The height of the ball after t seconds is given by $f(t) = -10t^{2} + 24t +5.6$ .

For any function, at the maximum point, first order differentiate of the function will be 0, and the second order differentiate will be less than 0.

Now, $\frac{d f(t)}{dt} = -20t +24$ .

As per the given condition, $-20t +24 = 0\\t = \frac{24}{20} = \frac{6}{5}$ .

Whatever the value of t is, the second order differentiate of the function is -20, that is $\frac{d^{2} f(t)}{dt^{2} } = -20 \leq 0$ .

Hence, at t = $\frac{6}{5}$ , the height of the ball will be maximum.

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3 years ago

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