The loudness level of a sound, D, in decibels, is given by the formula D = 10 log ( 10 12 I ) , where 1 is the intensity of the sound, in walls per meter 2 . Decibel levels range from 0, a barely audible sound, to 160, a sound resulting in a ruptured eardrum. (Any exposure to sounds of 130 decibels or higher puts a person at immediate risk for hearing damage.) Use the formula to solve Exercises 117-118. The sound of a blue whale can be heard 500 miles away, reaching an intensity of 6.3 × 10 6 watts per meter 2 . Determine the decibel level of this sound. At close range, can the sound of a blue whale rupture the human eardrum?
The loudness level of a sound, D, in decibels, is given by the formula D = 10 log ( 10 12 I ) , where 1 is the intensity of the sound, in walls per meter 2 . Decibel levels range from 0, a barely audible sound, to 160, a sound resulting in a ruptured eardrum. (Any exposure to sounds of 130 decibels or higher puts a person at immediate risk for hearing damage.) Use the formula to solve Exercises 117-118. The sound of a blue whale can be heard 500 miles away, reaching an intensity of 6.3 × 10 6 watts per meter 2 . Determine the decibel level of this sound. At close range, can the sound of a blue whale rupture the human eardrum?
Solution Summary: The author calculates the decibel level of the sound of blue whale and whether it can rupture the human eardrum.
The loudness level of a sound, D, in decibels, is given by the formula
D
=
10
log
(
10
12
I
)
,
where 1 is the intensity of the sound, in walls per meter2. Decibel levels range from 0, a barely audible sound, to 160, a sound resulting in a ruptured eardrum. (Any exposure to sounds of 130 decibels or higher puts a person at immediate risk for hearing damage.) Use the formula to solve Exercises 117-118.
The sound of a blue whale can be heard 500 miles away, reaching an intensity of
6.3
×
10
6
watts per meter2. Determine the decibel level of this sound. At close range, can the sound of a blue whale rupture the human eardrum?
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Determine if the values of the variables listed are solutions of the system of equations.
2x - y = 4
3x+5y= - 6
x=1, y = 2; (1,-2)
Is (1, 2) a solution of the system of equations?
L
No
Yes
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10. A sound wave's amplitude can be modeled by the function y = −7 sin ((x-1) + 4). Within the interval 0 < x < 12, when does the function have an amplitude
of 4? (Select all that apply.)
9.522 seconds
4.199 seconds
0.522 seconds
1.199 seconds
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