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allsm [11]
2 years ago
5

Answer the following questions using the graph at the right (attatched). The graph shows the height h in feet of a snowball t se

conds after it is launched. The path of the snowball is given by the equation: h = -16t^2 + 128t
How long is the snowball in the air? Explain how you know the answer based on the graph

Mathematics
1 answer:
Mariulka [41]2 years ago
7 0

Answer:

8secs

Step-by-step explanation:

To calculate how long the ball stays in air, we need to find the time it takes to reach the max height first

The ball reaches its max height when dh/dt = 0.

-32t+128=0

32t = 128

t = 128/32

t = 4secs

The time the ball spent in air will be;

t = 2(4)

t = 8secs

Hence the ball spent 8secs in air

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Gabby received change worth $2.10. She received 3 more dimes than nickels and 4 less quarters than nickels. How many of each kin
xz_007 [3.2K]

Answer:

Gabby received

7 nickels

10 dimes

3 quarters

Step-by-step explanation:

Let

x----> the number of dimes

y----> the number of nickels

z---> the number of quarters

Remember that

1 dime=$0.10

1 nickel=$0.05

1 quarter=$0.25

we know that

0.10x+0.05y+0.25z=2.10 ------> equation A

x=y+3-----> equation B

z=y-4 -----> equation C

substitute equation B and equation C in equation A and solve for y

0.10(y+3)+0.05y+0.25(y-4)=2.10

0.10y+0.30+0.05y+0.25y-1=2.10

0.40y=2.10-0.30+1

0.40y=2.80

y=7 nickels

<em>Find the value of x</em>

x=y+3 -----> x=7+3=10 dimes

<em>Find the value of z</em>

z=y-4 -----> z=7-4=3 quarters

therefore

Gabby received

7 nickels

10 dimes

3 quarters

6 0
3 years ago
Which expressions are equivalent to x + 2y + x + 2?
Pani-rosa [81]

Answer:

none of the above im pretty sure

Step-by-step explanation:

6 0
3 years ago
Find the distance between the points with the given coordinates (-8,-6),(4,10)​
Serggg [28]

Hello from MrBillDoesMath!

Answer:

20

Discussion:

Let (x1,y1) = (-8, -6) and (x2,y2) = (4,10). Per the distance formula,

Distance = sqrt (  (x1-x2)^2 + (y1-y2)^2 )  so

Distance = sqrt (  (-8-4)^2 + (-6-10)^2 )

                = sqrt( (12)^2 + (-16)^2 )

                = sqrt( 144     + 256 )

                = sqrt(400)

                = 20

Thank you,

MrB

3 0
3 years ago
Read 2 more answers
If Sophia purchases n songs for .99 cents each, write an expression for the total cost.
kodGreya [7K]

Answer:

I think the answer would be n×0.99

Step-by-step explanation:

the answer will be n×0.99 because she bought for example n=7 each for 99 cents. to find the total you would have to do 7x0.99. Hope this help you

3 0
3 years ago
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5x² = 80 in a quadratic equation
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Here is a photo attached to the bottom right here. Hope this helps!

8 0
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