<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B54%7D%20" id="TexFormula1" title=" \sqrt[3]{54} " alt=" \sqrt[3]{54} " ali

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Sergio [31]

3 years ago

gn="absmiddle" class="latex-formula">
How do I solve?

Mathematics

1 answer:

Nadya [2.5K]3 years ago

3 0

Answer:

find the cubic root of the number given

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Of the town's 42 firefighters, 16 volunteered for the special rescue team. Express the portion who did not volunteer.

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16 volunteered for the special rescue team.

n + 16 = 42

or it could be this way:

42 - 16 = n

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Air pressure may be represented as a function of height (in meters) above the

denis-greek [22]

Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3> $P(h) =P_0e^{-0.00012h}$ </h3><h3> In this function $P_o$ is the air pressure at the surface of the earth, and $h$ is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

$P(h) =P_0e^{-0.00012h}$

In order to calculate at what height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute $P(h)=0.5P_o$ into the function:

$0.5P_o=P_0e^{-0.00012h}$

2. Finally, you must solve for $h$ .

Remember the following property of logarithms:

$ln(b)^a=a*ln(b)\\\\ln(e)=1$

Then, you get this result:

$0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2$