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Elina [12.6K]
3 years ago
12

The loudness, L , of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d , from the so

urce of the sound. When a person 14 feet from a jetski, it is 70 decibels loud. How loud is the jetski when the person is 46 feet away?
Mathematics
1 answer:
Ivahew [28]3 years ago
5 0

Answer:

Loudness (L) = 6.48 dB

Step-by-step explanation:

Given:

Loudness (L) = k / d² , where k = constant

So,

70 = k / 14²

k = 13,720

New distance = 46 feet

Find:

Loudness (L) = ?

Computation:

Loudness (L) = 13,720 / 46²

Loudness (L) = 13,720 / 2,116

Loudness (L) = 6.48 dB

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Answer:

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Step-by-step explanation:

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8 0
3 years ago
Find the equation of a line that goes through the points (-3,5) and (5,-11)
Rasek [7]

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-11}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-3)}}}\implies \cfrac{-16}{5+3}\implies \cfrac{-16}{8}\implies -2

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-5-2(x+3)\implies y-5=-2x-6\implies y=-2x-1

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2 years ago
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The answer is 3/10


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Answer:

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Step-by-step explanation:

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A sequence is defined by the following:
katrin2010 [14]

Answer:

Step-by-step explanation:

a1 = 6

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a2 = -1.2*a_1

a2 = -1.2 * 6

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a3 = -1.2*a_2

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a4 = -1.2 * 8.64

a4 = -10.368

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3 years ago
Read 2 more answers
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