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3 years ago

What’s the surface area

Mathematics

1 answer:

DerKrebs [107]3 years ago

7 0

Answer:

Step-by-step explanation:

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A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the he

Ulleksa [173]

Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

$h(t) = -16t^2 + 30t$

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

$f(x) = ax^2 + bx + c$ :

$f(\frac{-b}{2a}) = maximum/minimum$

i.e we first solve for $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for x in $f(x) = ax^2 + bx + c$

In our case:

First we need to solve $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for t in $h(t) = -16t^2 + 30t$

By comparison:

$b = 30$

$c = -16$

$\frac{-b}{2a} = \frac{-30}{2 * -16}$

$\frac{-b}{2a} = \frac{-30}{-32}$

$\frac{-b}{2a} = \frac{30}{32}$

$\frac{-b}{2a} = \frac{15}{16}$

Substitute $\frac{15}{16}$ for t in $h(t) = -16t^2 + 30t$

$h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})$

$h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}$

$h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}$

$h(\frac{15}{16}) = \frac{-225 + 450}{16}$

$h(\frac{15}{16}) = \frac{225}{16}$

$h(\frac{15}{16}) = 14.0625$

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because $14.0625 < 15$

8 0

3 years ago

Adding and Subtracting Decimals

Alex17521 [72]

Answer: 14.353 or 18.647

Step-by-step explanation:

Hi.

Subtracting:

16.5 - 2.147 = 14.353

Adding:

16.5 + 2.147 = 18.647

5 0

2 years ago

A 3-yard roll of brown paper costs $1.14.What is the unit price HELP PLEASE

Lapatulllka [165]

Per 1 yard the cost would be $0.38. Not sure what unit you need it in, but thats the answer in yards.

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3 years ago

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A sample with mean of 85 and SD of 12 is transformed into z-scores. After the transformation, what are the values for the mean a

MrRa [10]

Answer:

The value remain unchanged.

Step-by-step explanation:

By Z score, we mean:

Z = $\frac{x-\mu}{\sigma}$ , if we substitute the given values of mean and standard deviation, we obtain the z score value. That is,

Z = $\frac{85 - 0}{12}$ = 85/12 = 7.083333.

NB: We assume that mean and standard deviation are in the same units.

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3 years ago

Solve for x: y=-3x+6

vazorg [7]

The answer is : x= -y/3+2

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3 years ago

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