The exponential decay function is shown as:
At = Ao*2^(-t/h)
Where:
At = Final amount
Ao = original amount
t = time
h = years for half-life to occur
We are not given the original and final amounts, but we are told that after the certain amount of time had passed, only 5% had remained. So if we were to isolate At and Ao in one side of the equation, such that: At/Ao = 0.05, we can solve for the missing variable, which is t.
Substituting:
<span>At/Ao = 2^(-t/h)
</span>0.05 = <span>2^(-t/20)
t = 86.44 years
Therefore, the pottery was made approximately 86.44 years ago.</span>
Resolving vectors question. See diagram enclosed.
<span>The value of the constant needed to complete in joules to three significant figures is 2.18 x 10^-18 J.</span>
The characteristics of standing waves allows to find the result for the speed of the wave is:
- The speed wave is: v = 10 m / s
The wave is a way of transmitting energy without mass displacement, , in the attachment we can see a diagram of the standing wave.
Each cycle corresponds to half a wavelength, they indicate that the frequency is 2.50 Hz and there are three cycles, so the wavelength is:
L =
λ = 2L/n
λ = 2 6 /3
λ = 4 m
Wave speed is related to wavelength and frequency
v = λ f
v = 4 2.5
v = 10 m / s
In conclusion, using the characteristics of standing waves we can find the result for the speed of the wave is:
- The wave speed is: v = 10 m / s
Learn more here: brainly.com/question/12536719
Explanation:
Given that,
Distance 1, r = 100 m
Intensity, 
If distance 2, r' = 25 m
We need to find the intensity and the intensity level at 25 meters. Intensity and a distance r is given by :
.........(1)
Let I' is the intensity at r'. So,
............(2)
From equation (1) and (2) :



Intensity level is given by :
, 

dB = 32.96 dB
Hence, this is the required solution.