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Flauer [41]
3 years ago
8

Write a prime factorization of each of the numbers below

Mathematics
1 answer:
Luba_88 [7]3 years ago
5 0
What are the numbers?
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A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
Stolb23 [73]

Answer:

  • t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

Explanation:

<u>1) Explanation of the model:</u>

  • Given: h(t) = -16t² + 48t

  • This is a quadratic function, so the height is modeled by a patabola.

  • This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.

<u>2) Axis of symmetry:</u>

  • The axis of symmetry of a parabola is the vertical line that passes through the vertex.

  • In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)

  • In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5

<u>Conclusion</u>: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of  1. 5 s + 1.5 s = 3.0 s.

Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

8 0
3 years ago
A jar contains three red marbles and five green marbles. A marble is drawn at random and not replaced. A second marble is then d
zvonat [6]

Answer:  

P(red then green) = 5/8 * 3/7 = 15/56

Step-by-step explanation: Since this is a logical "and" case, we have to multiply the separate events' probabilities...thus  P(red then green) = 5/8 * 3/7 = 15/56

6 0
3 years ago
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I am doing math and in it i have to find the answer to 3^12 ans 7^9 and when i ut it in the calculator it said 2.1445561e+13 and
grin007 [14]

Answer:

40,885,048

Step-by-step explanation:

first find 3^12 and then find 7^9.

3^12 = 531,441

7^9 = 40,353,607

Add these together and you'll get 40,885,048.

Welcome! Hope this helps.

7 0
3 years ago
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Is the triangle with side lengths of 10 in., 24 in., and 26 in. a right triangle? 85 POINTS
monitta
The answer to, Is the Triangle with side lengths of 10 in., 24 in., and 26 in, a right triangle is: Yes.  For right triangles, the sum of the squares of the shorter sides is equal to the square of the longer side.  Thus, this is a right triangle if 10^2+24^2=26^2.  Expanding these squares, we have 100+576=676, which is true.  Thus, the triangle is right.
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3 years ago
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In the expression
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The variable
4 is the coefficient
6 0
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