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Karo-lina-s [1.5K]
3 years ago
15

During a dry year, the reservoir level dropped 512 feet. The next year the level rose 314 feet. Which expression shows the total

change in reservoir height, in feet, during these two periods?
Mathematics
1 answer:
tia_tia [17]3 years ago
5 0

Answer:

You will be hot as shet

Step-by-step explanation:

e

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A shipping clerk can process 8 orders every 22 minutes. How many minutes will it take to process 14 orders
stira [4]
The answer is 112 hours all that is needed is multiplication 8x14=112
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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
Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find
maria [59]
In 4 hours Bethany did the whole fraction 1 of the house.

In 1 hour he would do 1/4 of it.

In 3 hours Colin did the whole fraction 1 of the house.

<span>In 1 hour he would do 1/3 of it.
</span>
In 1 hour they would both do (1/4 + 1/3)

If it takes both of them x hours to finish 1 whole fraction of the house.

In 1 hour they will both do   1/x

That means that:

1/x = 1/4 + 1/3

That is the equation.   x can be solved for.
5 0
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Complete the missing value/help?
blagie [28]

What it is basically asking is if Y = -4, find the value of x in the equation 6x + 7y = 4x + 4y

To solve this you just need to plug in -4 for y and solve for x

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Now isolate x by adding 28 to both sides

6x - 28 + 28 = 4x - 16 + 28

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and subtract 4x from both sides

6x - 4x = 4x - 4x + 8

2x = 8

divide both sides by 2

2/2x = 8/2

x = 4

x = 4, y = -2

Answer: (4, - 2)

Hope it helps :)

Bransliest would be appreciated

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Daniel [21]

Answer:

x2+10=0A.B.C.D.

it is A because 0 can't enter into a letter if it can enter then it will be the same letter

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