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Statistics show that the fractional part of a battery, B, that is still good after 6 hours of use is given by B = 4-0.011 What fractional part of the battery is still operatingafter 300 hours of use?AnswerHow to enter your answer (opens in new window)Keypad

Statistics show that the fractional part of a battery B that is still good after 6 hours of use is given by B 40011 What fractional part of the battery is still class=

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Answer

Explanation

Given:

[tex]B=4^{-0.01t}[/tex]

where:

t=300 hours

To determine the fractional part of the battery after 300 hours of use, we plug in t=300 into B=4^-0.01t. So,

[tex]\begin{gathered} B=4^{-0.01t} \\ B=4^{-0.01(300)} \\ Simplify \\ B=4^{-3} \\ B=\frac{1}{64} \end{gathered}[/tex]

Therefore, the answer is:

[tex]\frac{1}{64}[/tex]

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