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marta [7]
3 years ago
8

Matthew launches a ball at 34 meters/sec from a 28 meter tall platform. The function of the ball's height (h) at time (t) second

s after launch is h(t) = -2t^2+34t+28. Determine how long it will take for the ball to be at its original height.
Mathematics
1 answer:
Alex17521 [72]3 years ago
5 0

Answer:

17 seconds

Step-by-step explanation:

h(t) represents height, we want to know when the ball will return to a height of 28 feet.  So our equation is..

28 = -2t² + 34t + 28

Now solve for t...

0 = -2t² + 34t         (subtract 28 from both sides)

0 = t² - 17t             (divide both sides by -2)

0 = t(t - 17)          (factor out a t)

So

t = 0

or

t - 17 = 0

  t = 17          

0 seconds is the initial height.  At 17 seconds, the ball will return to that height

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Out of 28 students in a class, 7 have blue eyes. What is the probability a student picked at
mars1129 [50]

Answer:

3/4

Step-by-step explanation:

7/28 have blue eyes

So 28-7=21

21/28 don't have blue eyes

21/28 simplified=3/4

7 0
3 years ago
Read 2 more answers
A.
Reptile [31]

Answer:

The real zeros of f(x) are x = 0.3 and x = -3.3.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this problem, we have that:

f(x) = x^{2} + 3x - 1

So

a = 1, b = 3, c = -1

\bigtriangleup = 3^{2} - 4*1*(-1) = 13

x_{1} = \frac{-3 + \sqrt{13}}{2*1} = 0.3

x_{2} = \frac{-3 - \sqrt{13}}{2*1} = -3.3

The real zeros of f(x) are x = 0.3 and x = -3.3.

7 0
3 years ago
What is the circumference of a circle with a diameter of 8 feet? Use 3.14 for ON d=80 O A. 25.12 ft B. 12.56 ft C. 50.24 ft D. 1
Andrew [12]

Answer:

25.12

Step-by-step explanation:

Formula: 2πr, r = d/2

Given: π = 3.14, d = 8

Sub: r = 8/2

Simplify: r = 4

Sub: 2(3.14)(4)

Simplify: 6.28(4)

Solve: 25.12

8 0
3 years ago
What is the value of the expression shown below?
faltersainse [42]

Answer:

It should be

Step-by-step explanation:

<h2><u><em>B.</em></u></h2><h2>23    1/4</h2>
5 0
3 years ago
At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 12 m. T
cestrela7 [59]

Answer:

The answer would be 251.2 for the side walk if the radius for the whole circle is 12 and the small circle's radius would be 8. Only for the answer with the 8 m and 12 m radius NOT the 11m and 9 m

The equation would be:

144 x 3.14 - 64 x 3.14 = 251.2

Step-by-step explanation:

First, you need to find out what the whole circle is:

The whole circle is 452.16

Then, find the inner circle :

8 x 8 x 3.14  

200.96

Last, subtract the whole by the inner:

452.16 - 200.96 = 251.2

hope this helps!

5 0
3 years ago
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