Mathematics High School

If a single singer is singing at 74 dB, how many singers have joined him if the level increases to 83 dB and each singer is equally loud?

Answers

Answer 1

Approximately 7 singers have joined the initial singer to increase the level from 74 dB to 83 dB.

To calculate the number of singers that have joined the initial singer, we can use the logarithmic nature of the decibel scale. The decibel scale is logarithmic, meaning that an increase of 10 dB represents a tenfold increase in sound intensity.

In this case, we have an increase from 74 dB to 83 dB, which is an increase of 9 dB. Since each singer is equally loud, we can assume that each additional singer adds the same amount of sound intensity.

To find out how many singers have joined, we need to determine how many times 9 dB represents a tenfold increase. We can use the formula:

[tex]10^{\\increase} ^{\\in dB/10)}\\[/tex] = number of singers

Let's calculate it:

[tex]10^{(9/10)[/tex] ≈ 7.94

Therefore, approximately 7 singers have joined the initial singer to increase the level from 74 dB to 83 dB.

To know more about sound intensity check the below link:

https://brainly.com/question/17062836

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