84. Sound Intensity The relationship between the number of decibels B and the intensity of a sound / (in watts per square meter) is B- 10 kog 10 (a) Determine the number of decibels of a sound with an intensity of I watt per square meter. (b) Determine the number of decibels of a sound with an intensity of 10 watt per square meter. (c) The intensity of the sound in part (a) is 100 times as great as that in part (b). Is the number of decibels 100 times as great? Explain. Exploration

log 9 = x logus y log 135 - Show in x ad y type.

a) Copy and complete the table below:   Original Function y= 5t3 - 5t f(z) = lnz h(x) = -5e x First derivative       Second Derivative           b) After completing the derivatives of the various functions in part 1 a) above, copy and complete the table below stating the name of EACH function that was derived:   Original Function Cubic Function Logarithmic Function Exponential Function First derivative       Second Derivative

Richter scale Use the Richter scale formula R = log (1/1,) to find the magnitude of an earthquake that has an intensity (a) 100 times that of I (b) 10,000 times that of I (c) 100,000 times that of I,

The Richter scale rating of an earthquake of intensity x is given by log (x) - log (x₁), where x₁ is the intensity of a small "benchmark" earthquake. Write the Richter scale rating as a single logarithm. What is the Richter scale rating of an earthquake for which x = 100,000,000x0? Using a single logarithm, the Richter Scale rating of an earthquake in terms of x and xo is The Richter scale rating of an earthquake for which x= 100,000,000x is.

Sound levels are measured in decibels using the function B=10(log I +12) where ß is the sound level in decibels (dB) and I is the sound intensity measured in watts per meter squared (W/m²). Wwhat is the sound level in decibels if the intensity is 0.00012 w/m?? (A) -29.2 (B) 10.8 (C) 35.2 (D) 80.8 O A O B O D

loga Mr = ________________