The range of sound intensities that the human ear can detect is so large that a special decibel scale (named after Alexander Graham Bell) is used to measure and compare sound intensities. The decibel level (dB) is given by dB(1) = 10 log() where Io is the intensity of sound that is barely audible to the human ear. Use the decibel level formula to find the decibel level for the following sounds. Round to the nearest tenth of a decibel. (a) Automobile traffic, I = 1.58 x 108 10 dB (b) Quiet conversation, I= 10,800 Io dB (c) Fender guitar, I = 3.16 x 1011. Io dB (d) Jet engine, dB I= 1.58 x 1015. Io

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The range of sound intensities that the human ear can detect is so large that a special decibel scale (named after Alexander Graham Bell) is used to measure and compare sound intensities. The decibel level (dB) is given by

\[ dB(I) = 10 \log\left(\frac{I}{I_0}\right) \]

where \( I_0 \) is the intensity of sound that is barely audible to the human ear. Use the decibel level formula to find the decibel level for the following sounds. Round to the nearest tenth of a decibel.

(a) Automobile traffic, \( I = 1.58 \times 10^8 \cdot I_0 \)  
\[ \_\_\_\_ \text{dB} \]

(b) Quiet conversation, \( I = 10,800 \cdot I_0 \)  
\[ \_\_\_\_ \text{dB} \]

(c) Fender guitar, \( I = 3.16 \times 10^{11} \cdot I_0 \)  
\[ \_\_\_\_ \text{dB} \]

(d) Jet engine, \( I = 1.58 \times 10^{15} \cdot I_0 \)  
\[ \_\_\_\_ \text{dB} \]
Transcribed Image Text:The range of sound intensities that the human ear can detect is so large that a special decibel scale (named after Alexander Graham Bell) is used to measure and compare sound intensities. The decibel level (dB) is given by \[ dB(I) = 10 \log\left(\frac{I}{I_0}\right) \] where \( I_0 \) is the intensity of sound that is barely audible to the human ear. Use the decibel level formula to find the decibel level for the following sounds. Round to the nearest tenth of a decibel. (a) Automobile traffic, \( I = 1.58 \times 10^8 \cdot I_0 \) \[ \_\_\_\_ \text{dB} \] (b) Quiet conversation, \( I = 10,800 \cdot I_0 \) \[ \_\_\_\_ \text{dB} \] (c) Fender guitar, \( I = 3.16 \times 10^{11} \cdot I_0 \) \[ \_\_\_\_ \text{dB} \] (d) Jet engine, \( I = 1.58 \times 10^{15} \cdot I_0 \) \[ \_\_\_\_ \text{dB} \]
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