How to solve this problem? (the answer is 262 Hz). i want to know the step by step on how to solve the equation given. if it helps, i am a grade 10 student. (YES, This is a math question)

How to solve this problem the answer is 262 Hz i want to know the step by step on how to solve the equation given if it helps i am a grade 10 student YES This i class=

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ANSWER:

262 Hz

STEP-BY-STEP EXPLANATION:

We have the following formula to determine the frequency:

[tex]F=440\cdot\mleft(\sqrt[12]{2}\mright)^n[/tex]

According to the statement we can determine that the value of n is equal to -9 (below the concert pitch), therefore we replace and calculate the frequency:

[tex]\begin{gathered} F=440\cdot\mleft(\sqrt[12]{2}\mright)^{-9} \\ F=440\cdot(1.05946)^{-9} \\ F=440\cdot0.5946 \\ F=261.63\cong262\text{ Hz} \end{gathered}[/tex]

Therefore the frequency of middle C is 262 Hz

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