Answer:
The decibel of the remaining pigs is 51.5 dB.
Explanation:
Decibel (dB) is a unit of measure of the intensity of a given sound.
Number of pigs = 199, noise level = 74.3 dB.
Given that the intensity (I) of the sound from the pen is proportional to the number of pigs (N), thus:
I
N
I = kN
where k is the constant of proportionality.
⇒ k = 
= 
k = 0.3734
When 61 numbers of pigs were removed, the number of remaining pigs (N) squealing at their original level is 138.
Thus, the becibel level (I) of the remaining pigs can be determined by:
I = kN
= 0.3734 × 138
= 51.53 dB
The becibel level (I) of the remaining pigs is 51.53 dB.
Answer: 2. 2.0*10^2 W
Explanation:
Power = Work/Time
Power = (2.0*10^3) Joules/10 seconds
Power = 2.0*10^2 Watts
Mathematical equations can express dependencies between things, for example the relationship between the speed and acceleration. This can be summarized under "scientific laws".
More complex laws can represent models, for example a model of a human brain on a neuronal level could be based on complex mathematical equations.