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Statistics show that the fractional part of a battery 8that is still good after hours of use is given by B 4-0 What fractional part of the battery is still operatingafter 300 hours of use)AnswerHow to answer nens in new window)Keypad

Statistics show that the fractional part of a battery 8that is still good after hours of use is given by B 40 What fractional part of the battery is still opera class=

Respuesta :

Given,

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

t = 300

Replace,

[tex]B=4^{-0.01\cdot\:300}[/tex]

Multiply -0.01*300 = 3

[tex]B=4^{-3}[/tex]

Apply exponent rule,

[tex]a^{-b}=\frac{1}{a^b}[/tex][tex]B=\frac{1}{4^3}[/tex]

Simplify, 4^3=64

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

Answer: B = 1 / 64

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