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omeli [17]
4 years ago
15

Create the equation of a parabola using the function h(t) = -16t2 + h0 where h(t) is the height (in feet) of an object thrown fr

om the top of a building at time t (in seconds), and h0 is the height of the building. You can research a local building and use that height or just pretend your imaginary building has a height of 500 feet.
Mathematics
1 answer:
butalik [34]4 years ago
7 0
H(t)=-16t²+500
0=-16t²+500
16t²=500
t²=31.25
t=5.9 seconds before the object hits the ground
☺☺☺☺
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Consuelo's living room is the shape of a rectangle and has an area of 360 square feet. The width of the living room is 5/8 its l
zlopas [31]

Answer:

The answer to your question is length = 24 ft

Step-by-step explanation:

Data

Rectangular-shaped

Area = 360 ft²

lenght = x

width = 5/8x

Formula

Area = length x width

- Substitution

360 = (x)(5/8x)

- Solve for x

360 = 5/8x²

x² = 360(8)/5

x² = 2880 / 5

x² = 576

- Result

x = 24 ft

- Conclusion

The length of the living room is 24 ft and the width is 24(5/8) = 15 ft.

3 0
4 years ago
The sum of 7/3 and four times a number is equal to 2/3 subtracted from five times the number?
Artyom0805 [142]

Answer:

-3

Step-by-step explanation:

7 0
3 years ago
The train takes 1 1/2 hours to get from Miami to Orlando. The train takes 5 times as long as that to get from Miami to Tallahass
AleksandrR [38]
'Miami to Orlando' = 1 1/2 hours = 1.5 hours
'Miami to Tallahassee' = 5 times of 'Miami to Orlando',  then
 5 * 1.5 =  7.5
So the train would take 7.5 hours or 7 1/2 hours from Mami to Tallahassee.
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3 years ago
What is the slope of the line by the equations below? y-9=15 (x-5)
ipn [44]

To find the slope, you should rearrange the equation into slope-intercept form, ie. y = mx + c, where m is the gradient.

y - 9 = 15(x - 5)

y = 15(x - 5) + 9 (Add 9 to each side)

y = 15x - 15*5 + 9 (Expand 15(x - 5))

y = 15x - 75 + 9

y = 15x - 66

Therefor, the slope of the equation is 15.

7 0
3 years ago
Read 2 more answers
Joshua and Caleb work at a furniture store. Joshua is paid $175 per week plus 5% of his total sales in dollars, x, which can be
Agata [3.3K]

Answer: x = $11,900

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Joshua’s earnings: g(x)=175+0.05x

Caleb's earnings: f(x)=532+0.02x.

So, if both earnings are equal:

g(x) =f (x)

175+0.05x =532+0.02x

Solving for x:

0.05x-0.02x = 532-175

0.03x= 357

x = 357 /0.03

x = $11,900

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
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