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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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The symbol ⊕ is used to denote exclusive or, so p ⊕ q ≡ (p v q) ^ ~ (p ^ q).
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I'll use text forms of the logical symbols because copying/pasting on mobile is annoying.

⊕ = XOR

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Also recall that IMP is logically equivalent to

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= (NOT p AND q) OR (NOT q AND p)

The statements in bold match, so p XOR q is indeed equivalent to NOT (p IFF q).

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