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Mandarinka [93]
2 years ago
9

25. An apple is launched directly upward at 64 feet per second from a platform 80 feet high. The equation for this

Mathematics
1 answer:
Viktor [21]2 years ago
3 0

Answer:

a. 144 ft

b. 5 s

Step-by-step explanation:

h = -16t² + 64t + 80

a. This is a parabola, so the maximum height is at the vertex.

t = -64 / (2 × -16)

t = 2

h = -16(2)² + 64(2) + 80

h = 144

The apple reaches a maximum height of 144 ft.

b. 0 = -16t² + 64t + 80

0 = t² − 4t − 5

0 = (t + 1) (t − 5)

t = -1 or 5

t must be positive, so it takes 5 seconds to reach the ground.

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2 A marathon race is 42 195 m in length. The world record in 2016 was
Verizon [17]

Answer:

A. 7377 s

B. 5.72 m/s

C. 5.86 m/s

Step-by-step explanation:

A. Determination of the time in second.

Time (t) = 2 hours, 2 minutes and 57 seconds

We'll begin by converting 2 hours to seconds. This can be obtained as follow:

1 hour = 3600 s

Therefore,

2 hour = 2 hours × 3600 s / 1 hour

2 hours = 7200 s

Next, we shall convert 2 mins to seconds. This can be obtained as follow:

1 min = 60 s

Therefore,

2 mins = 2 mins × 60 s / 1 min

2 mins = 120 s

Finally, we shall determine the total time in second. This can be obtained as follow:

2 hours, 2 minutes and 57 seconds = 7200 s + 120 s + 57 s

= 7377 s

Therefore, the total time in second is 7377 s

B. Determination of the average speed.

Total distance = 42195 m

Total time = 7377 s

Average speed =?

Average speed = Total distance / total time

Average speed = 42195 / 7377

Average speed = 5.72 m/s

Therefore, the average speed is 5.72 m/s

C. Determination of the average speed.

We'll begin by converting 2 hours to seconds. This can be obtained as follow:

1 hour = 3600 s

Therefore,

2 hour = 2 hours × 3600 s / 1 hour

2 hours = 7200 s

Finally, we shall determine the average speed. This can be obtained as follow:

Total distance = 42195 m

Total time = 7200 s

Average speed =?

Average speed = Total distance / total time

Average speed = 42195 / 7200

Average speed = 5.86 m/s

Therefore, the average speed is 5.86 m/s.

7 0
3 years ago
I will greatly appreciate if you can solve this question!
Rus_ich [418]

Answer: The answer would be B

<u>Write out the equation in slope-intercept form: </u>

y=-5/3x+6 (Once we know that, it'll be easier to convert it into standard form.)

<u>Subtract -5/3 from both sides of the equation:</u>

y+5/3x=6

<u>Subtract 6 from both sides:</u>

y+5/3x-6=0

<u>Multiply both sides by 3 to get rid of the fraction:</u>

3y+5x-18=0

<u>Then arrange the numbers to x and y are on one side by itself:</u>

3y+5x=18

<em>And that's your answer!</em>

<em />

Hope this helped you!

5 0
2 years ago
What is the measure of this angle ?
yKpoI14uk [10]
The measure of the angle is 20
4 0
2 years ago
The area of a rectangular restaurant kitchen is 105 square meters. The perimeter is 44 meters. What are the dimensions of the ki
Scilla [17]

Answer:https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%263%5C%5C4%265%266%5C%5C7%268%269%5Cend%7Barray%7D%5Cright%5D%20

do not know

Step-by-step explanation:

<h3>sorry but this might be the answer to it</h3>
6 0
3 years ago
Ruben sees 14 wheels on a total of 6 bicycles and tricycles. How many bicycles and tricycles are there?
Rina8888 [55]
4 bicycles 2 tricycles 
4  (bicycles)times 2(number of wheels on each bicycle) = 8
2 (bike) time 3 (number of wheels on each) = 6
8+6=14 

5 0
3 years ago
Read 2 more answers
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