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Alex17521 [72]
2 years ago
5

A cherry falls from a tree branch that is 9 feet above the ground.

Mathematics
1 answer:
miss Akunina [59]2 years ago
5 0
The cinematic equation is:
 h (t) = (1/2) * a * t ^ 2 + vo * t + h0
 Where,
 a: acceleration
 vo: initial speed
 h0: initial height
 Substituting values:
 h (t) = (1/2) * (- 32) * t ^ 2 + (0) * t + 9
 h (t) = - 16t ^ 2 + 9
 For t = 0.2 we have:
 h (0.2) = - 16 * (0.2) ^ 2 + 9
 h (0.2) = 8.36 feet
 To touch the ground we have:
 -16t ^ 2 + 9 = 0
 16t ^ 2 = 9
 t = root (9/16)
 t = 0.75 s
 Answer:
 
The height of the cherry after 0.2 seconds is:
 
h (0.2) = 8.36 feet
 
the cherry hits the ground at:
 
t = 0.75 s
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Answer:

$20

Step-by-step explanation:

The large ones cost $4 more so what you would do is to subtract that $4 from the $24.

24-4=20

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2 years ago
Using the ratio of perfect squares method, what is square root of 53 rounded to the nearest hundredth?
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Which ordered pair is the solution to the system of linear equations y=5x+8 and -4x-1 ?
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Hello : 
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8 0
3 years ago
Read 2 more answers
A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
pogonyaev

Answer:

0.75 mg

Step-by-step explanation:

From the question given above the following data were obtained:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Amount remaining (N) =.?

Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Number of half-lives (n) =?

n = t / t₁/₂

n = 6/6

n = 1

Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Number of half-lives (n) = 1

Amount remaining (N) =.?

N = 1/2ⁿ × N₀

N = 1/2¹ × 1.5

N = 1/2 × 1.5

N = 0.5 × 1.5

N = 0.75 mg

Thus, 0.75 mg of the sample is remaining.

5 0
2 years ago
Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Find the solution(s) for x in the equatio
Novay_Z [31]

Answer: x = 4; x = 5

Step-by-step explanation:

The directions specify to solve by factoring

x^2 - 9x + 20 = 0

To factor, find two numbers that add to -9 and multiply to 20

-5 and -4 work

-5 + (-4) = -9

-5 * -4 = 20

(x - 4)(x - 5) = 0

x = 4, x =5

6 0
3 years ago
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