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3 years ago

What is the prime factorization of 187

Mathematics

1 answer:

o-na [289]3 years ago

7 0

The prime factoriation is 11 x 17

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Deshaun makes 9 dollars for each hour of work. write an equation to represent his total pay p after working h hours.

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P = 9h <== ur equation

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3 years ago

If You And Your'e Friend Have 5 Video Games And You Sell 3 And You Have 45$ And Video Games Are 20$ A Pice How Much Video Games

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In a small libary, there are 5 nonfiction books for every 9 fiction books. There are 130 nonfiction books. A. How many fiction b

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Step-by-step explanation:

9/5 = ?/130

130 / 5 = 26

?= 9 * 26 = 234

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3 years ago

Find the solution set s^2=16

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During a 90-day monsoon season, daily rainfall can be modeled by sinusoidal functions. A low of 4 inches of rainfall was recorde

Phoenix [80]

Answer:

$25.4\,days \leq t \leq 34.6\,days$

Step-by-step explanation:

Let consider the following model:

$c(t) = A \cdot \sin \left(\frac{2\pi \cdot t}{T} \right) + \bar c$

The average is given by the following formula:

$\bar c = \frac{c_{min}+c_{max}}{2}$

The maximum value is:

$c_{max} = 2 \cdot \bar c - c_{min}$

$c_{max} = 2\cdot (8\,in) - 4\,in$

$c_{max} = 12\,in$

Amplitude is:

$A = 12\,in - 8\,in$

$A = 4\,in$

The sine function has a periodicity of $2\pi$ , where is minimum is reached at $\theta = \frac{3\pi}{2}$ , when t = 30. The period of the cycle is:

$T = \frac{2\pi}{\frac{3}{2}\pi }\cdot (30)$

$T = 40$

The complete expression is:

$c(t) = 8\,in + 4\,in \cdot \sin \left(\frac{2\pi}{40}\cdot t \right)$

The times associated with $c = 5\,in$ are, respectively:

$8\,in + 4\,in \cdot \sin \left(\frac{2\pi}{40}\cdot t \right) = 5\,in$

$4\,in \cdot \sin \left(\frac{2\pi}{40}\cdot t \right) = -3\,in$

$\sin \left(\frac{2\pi}{40}\cdot t \right) = -0.75$

$t = \frac{40}{2\pi}\cdot \sin^{-1} (-0.75)$

Instants are, respectively:

$t_{1} \approx 25.4\,days$

$t_{2} \approx 34.6\,days$

Period is:

$25.4\,days \leq t \leq 34.6\,days$

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3 years ago