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3 years ago

Simplifying radicals: √196s²

1 answer:

3 0

√196s² = √196 times √s²

s² is the square of 's'
196 is the square of 14
So both can easily come out of the radical.

√196s² = <u>14s</u>

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3 years ago

The percentage of obese children aged 12-19 years in the United States is approximatelyP(t) = 0.04t + 4.6 if 0 ≤ t < 10−0.010

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4.8% of of obese children aged 12-19 at the beginning of 1975.

9.15% of obese children aged 12-19 at the beggining of 1986

13.94% of obese children aged 12-19 at the beggining of 1995

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The percentage of obese children aged 12-19 years in the United States is given by the following piecewise function:

$P(t) = \left \{ {{0.04t + 4.6, 0 \leq t < 10}\atop {-0.01005t^{2} + 0.945t - 3.4, 10 \leq t < 30}} \right.$

In which t is measured in years.

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This is the value of P when t = 5, so $P(5)$ .

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$P(5) = 0.04(5) + 4.6 = 0.2 + 4.6 = 4.8$

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The value of P when t = 16, so $P(16)$ .

For P(16), we apply the second definition of the piecewise function.

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At the beginning of 1995?

The value of P when t = 25, so $P(25)$ .]

For P(25), we apply the second definition of the piecewise function.

$P(16) = -0.01005(25)^{2} + 0.945(25) - 3.4 = 13.94$

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