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tatyana61 [14]
3 years ago
14

Help please!

Mathematics
1 answer:
NARA [144]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

i hope this work for you

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stepladder [879]

Given:

The data set is

21, 16, 30, 15, 16, 18, 10, 24, 26, 20, 19, 24, 24, 25, 23

10, 15, 16, 16, 18, 19, 20, 21, 23, 24, 24, 24, 25, 26, 30

To find:

The range, average and median for the given data set.

Solution:

Arrange the data set in ascending order.

10, 15, 16, 16, 18, 19, 20, 21, 23, 24, 24, 24, 25, 26, 30

(1)

Range = Maximum value - Minimum value

           = 30 - 10

           = 20

Therefore, the range of the given data set is 20. All the options are incorrect.

(2)

Average=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}

Average=\dfrac{311}{15}

Average\approx 20.73

Therefore, the average score is about 20.73. All the options are incorrect.

(3)

Number of observations = 15, which is odd.

Median=\dfrac{n+1}{2}\text{th term}

Median=\dfrac{15+1}{2}\text{th term}

Median=\dfrac{16}{2}\text{th term}

Median=8\text{th term}

In the arranged data set 8th term is 21.

Median=21

Therefore, the correct option is b.

7 0
3 years ago
The excluded values of a rational expression are –3, 0, and 8. Which of the following could be this expression?
e-lub [12.9K]
Excluded values are -3, 0 and 8, so denominator will be:

(x-(-3))\cdot(x-0)\cdot(x-8)=(x+3)\cdot x\cdot(x-8)=(x+3)(x-8)x=\\\\=(x^2-8x+3x-24)x=(x^2-5x-24)x=\boxed{x^3-5x^2-24x}

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