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3 years ago

24 times 21 using the area model

Mathematics

1 answer:

AlladinOne [14]3 years ago

4 0

20. × 20

4. × 1
you also multiply 20×1 and 20×4 twice science both numbers are 20

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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 $14.0625 < 15$

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3 years ago

Lamar wants to replace a glass window in his restaurant. The window is in the shape of a square. Its side lengths are 11 feet. S

Over [174]

Answer:

55x11 = 55

(Meeting character limit)

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Elanso [62]

2/7 < 0.5
1/2 = 0.5 
5/6 > 0.5 
4/2 = 2

I hoped I helped. :)

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ABC is the image of ABC under a translation

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The translation is (x-8,y+5). To get from A to A’ you go left (x-axis) 8 times and up (y-axis) 5 times.

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Is $1.25 per song a unit rate

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Yes, since it's the amount per ONE song.

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