I need to write it in numbers please
2 answers:
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Answer:
150.51 dB
Step-by-step explanation:
Data provided in the question:
decibel level of sound at 161 km distance = 180 dB
d₁ = 161 km
d₂ = 4800 km
I₁ = 180 db
The formula for intensity of sound is given as:
I =
and the relation between intensity and distance is given as:
I ∝
or
Id² = constant
thus,
I₁d₁² = I₂d₂²
or
therefore,
I =
or
I =
or
I = 20 × (-1.474)
or
I = -29.49
Therefore,
the decibel level on Rodriguez Island, 4,800 km away
= 180 - 29.49
= 150.51 dB
Number 1.
, first we will take the
of both of these numbers getting us,
, which then gives us that
Number 2
, solve for our exponent,
, use the logarithmic formula, and we get,
, which then we get that