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Svetradugi [14.3K]
3 years ago
10

simplify the expression.astronomers measure large distances in light-years. one light-year is the distance that light can travel

in one year, or approximately 5,880,000,000,000 miles. suppose a star is 13.4 light-years from earth. in scientific notation, how many miles away is it?
Mathematics
1 answer:
ikadub [295]3 years ago
3 0
Just multiply how many miles in one light year (provided in question which is 1 LY = 5.88*10^12 miles) and multiply that by 13.4 and you should get 7.88*10^13  miles for the answer.
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At sea level, the pressure is 1013, that's when the altitude is at 0, sea level, let's see

\bf \textit{Periodic Exponential Decay}\\\\
A=I(1 - r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &1013\\
I=\textit{initial amount}\\
r=rate\to 11.8\%\to \frac{11.8}{100}\to &0.118\\
t=\textit{meters climbed}\to &0\\
p=period\to &1000
\end{cases}
\\\\\\
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\bf \textit{Periodic Exponential Decay}\\\\
A=I(1- r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &1013\\
r=rate\to 11.8\%\to \frac{11.8}{100}\to &0.118\\
t=\textit{meters climbed}\to &t\\
p=period\to &1000
\end{cases}
\\\\\\
A=1013(1-0.118)^{\frac{t}{1000}}\implies A=1013(0.882)^{\frac{t}{1000}}

now, to check the atmospheric pressure at 4000, simply set t = 4000, to get A.


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3 years ago
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