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3 years ago

Analyze the diagram below and complete the instructions that follow.

Mathematics

1 answer:

Pavel [41]3 years ago

4 0

2
5
6
3 is all I can think of

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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

Hello please help on number 3

padilas [110]

18 + 22 + 23 + 24 + 25 + 26 + 30= 168

168/7= 24

the missing number is 24

Good Luck! XD

3 0

3 years ago

Please answer 1 - 3! thank you!

Firdavs [7]

Answer:

The first one is

5x * 10

(x is the variable) TIMES 10

Step-by-step explanation:

8 0

3 years ago

A bag contains 72 toffees. How many toffees can be stored in 122 such bags? Estimate the number of toffees to nearest tens.

d1i1m1o1n [39]

The exact number is 8,784 toffees but if you want me to estimate to the nearest tens then it would be 8,780

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3 years ago

Finish this sentence: "To find the surface area of a prism we need to find the _______ of all of the sides and _____ them togeth

ale4655 [162]

Step-by-step explanation:

you need to find the area and add them together

8 0

3 years ago