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aleksandr82 [10.1K]
3 years ago
7

A professional stunt performer at a theme park dives off a tower 21 m high into the water. His height above the ground at time t

seconds is given by the equation h= -4.9t^2 + 21.
a) How long does it take to reach the halfway mark?

b) How long does it take to reach the water?

c) Compare the times in (a) and (b). Explain why the time at the bottom is not twice the time at the halfway point.
Mathematics
1 answer:
Alex73 [517]3 years ago
5 0

Answer:

c becauae it is way more resonable

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Suppose that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each
stich3 [128]

We have been given that  you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.            

We will use sum of geometric sequence formula to solve our given problem.

S_n=\frac{a\cdot(1-r^n)}{1-r}, where,

a = First term of sequence,

r = Common ratio,

n = Number of terms.

For our given problem a=50, r=50\%=\frac{50}{100}=0.5 and n=25.

S_{25}=\frac{50\cdot(1-(0.5)^{25})}{1-0.5}

S_{25}=\frac{50\cdot(1-0.0000000298023224)}{0.5}

S_{25}=\frac{50\cdot(0.9999999701976776)}{0.5}

S_{25}=100\cdot(0.9999999701976776)

S_{25}=99.99999701976776\approx 100

Therefore, the ball will travel 100 meters and option B is the correct choice.

 

4 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
amm1812

Answer:

The solution of this system of equations is (3 , -8)

Step-by-step explanation:

The given system is

x + 2y = -13

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We make x the subject of the first equation and put it into the second:

x =  - 13 - 2y

We put this expression for x into the second equation

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We substitute y=-8 into x=-13-2y to get:

x =  - 13 - 2( - 8) = 3

The solution of this system of equations is (3 , -8)

3 0
3 years ago
3 is less than w, and 8 is greater than w
eduard

Answer:

Whats the question?

Step-by-step explanation:

Srry i couldnt help

3 0
3 years ago
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Divide these polynomials.
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3 0
3 years ago
What’s the equation ? (2,-2) ( 4,1)
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Answer:

y = 3 2x − 5

Step-by-step explanation:

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