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s2008m [1.1K]
3 years ago
9

What is 5/8 - 1/4 and what is 2/3- 1/2

Mathematics
1 answer:
klemol [59]3 years ago
6 0
1st Question:
Exact Form:
3/8
Decimal Form:
0.375
2nd Question:
Exact Form:
1/6
Decimal Form:
0.16
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
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Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

y = -16x^2 + 177x + 98

It hits the ground when y = 0, so we have to find x for which y = 0, which is a quadratic equation.

Finding the roots of 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 question:

y = -16x^2 + 177x + 98

-16x^2 + 177x + 98 = 0

So

a = -16, b = 177, c = 98

\bigtriangleup = 177^{2} - 4(-16)(98) = 37601

x_{1} = \frac{-177 + \sqrt{37601}}{2*(-16)} = -0.53

x_{2} = \frac{-177 - \sqrt{37601}}{2*(-16)} = 11.59

Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.

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Answer:

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Step-by-step explanation:

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Answer:

EX :A jar contains 10 red marbles, 4 white marbles, and 2 blue marbles. Two ... To solve this question, you can solve for the probability of choosing 2 marbles that are pink and ... There are two even numbers and three odd numbers, so P (even) = 2/5 and P (odd) = 3/5. ... In a bag, there are 10 red, 15 green, and 12 blue marbles.

Step-by-step explanation:

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