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Rufina [12.5K]
3 years ago
5

When running multiple machines in a factory, the total sound power in decibels (dB) can be estimated using the regression equati

on y=119.06+10logx, where x represents the number of machines. What is the best estimate for the total sound power when 5 machines are running in the factory?
A) 121 dB
B) 126 dB
C) 135 dB
D) 169 dB
Mathematics
1 answer:
likoan [24]3 years ago
3 0

Answer:

the nearest number is 126 dB

Alternative B

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ANSWER


( {36})^{ (-  \frac{1}{2}) }  =  \frac{1}{6}


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The given expression is


{36}^{( -  \frac{1}{2} )}
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Recall that,



{a}^{ - m}  =  \frac{1}{ {a}^{m} }

We apply this law of exponents to get,



{36}^{( -  \frac{1}{2} )}  =  \frac{1}{ {36}^{(  \frac{1}{2} )} }

We cab rewrite the given expression to obtain;



{36}^{( -  \frac{1}{2} )}  =  \frac{1}{  \sqrt{36}  }

This will simplify to give us,


{36}^{( -  \frac{1}{2} )}  =  \frac{1}{  6 }


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