Answer:
t = 8588 years
Step-by-step explanation:
From the given information:
Using the formula:
![k = \dfrac{In (2)}{t_{1/2}}](https://tex.z-dn.net/?f=k%20%3D%20%5Cdfrac%7BIn%20%282%29%7D%7Bt_%7B1%2F2%7D%7D)
Given that:
= 5730 years
Then:
![k = \dfrac{In (2)}{5730}](https://tex.z-dn.net/?f=k%20%3D%20%5Cdfrac%7BIn%20%282%29%7D%7B5730%7D)
![k = \dfrac{0.6931472}{5730}](https://tex.z-dn.net/?f=k%20%3D%20%5Cdfrac%7B0.6931472%7D%7B5730%7D)
k = 1.20968 × 10⁻⁴
However; the expression to find the value of x is:
![x= x_oe^{-kt}](https://tex.z-dn.net/?f=x%3D%20x_oe%5E%7B-kt%7D)
![4.6 \times 10^{-13} = 1.3 \times 10^{-12} \times e^{(-1.20968\times 10^{-4} \times t)}](https://tex.z-dn.net/?f=4.6%20%5Ctimes%2010%5E%7B-13%7D%20%3D%201.3%20%5Ctimes%2010%5E%7B-12%7D%20%5Ctimes%20e%5E%7B%28-1.20968%5Ctimes%2010%5E%7B-4%7D%20%5Ctimes%20t%29%7D)
![\dfrac{4.6 \times 10^{-13} }{1.3 \times 10^{-12}}= e^{(-1.20968\times 10^{-4} \times t)}](https://tex.z-dn.net/?f=%5Cdfrac%7B4.6%20%5Ctimes%2010%5E%7B-13%7D%20%7D%7B1.3%20%5Ctimes%2010%5E%7B-12%7D%7D%3D%20%20e%5E%7B%28-1.20968%5Ctimes%2010%5E%7B-4%7D%20%5Ctimes%20t%29%7D)
![0.353846= e^{(-1.20968\times 10^{-4} \times t)}](https://tex.z-dn.net/?f=0.353846%3D%20%20e%5E%7B%28-1.20968%5Ctimes%2010%5E%7B-4%7D%20%5Ctimes%20t%29%7D)
(-1.20968 × 10⁻⁴ × t) = In(0.353846)
(-1.20968 × 10⁻⁴ × t) = -1.03889
![t = \dfrac{-1.03889}{-1.20968 \times 10^{-4}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cdfrac%7B-1.03889%7D%7B-1.20968%20%5Ctimes%2010%5E%7B-4%7D%7D)
t = 8588 years
NO IM LATE IM SO SORRY IT B
Answer:
D) 7/8
Step-by-step explanation:
The probability that there is at least one student at both Saturday's and Sunday's events is the inverse of the probability of having all students selecting either Saturday OR Sunday.
Since the probability of a student selecting Saturday is 0.5, the probability of all 4 students selecting that day is
0.5 * 0.5 * 0.5 * 0.5 = 1/16
Then the probability of having all students selecting either Saturday OR Sunday is twice that, which is 2/16, or 1/8
Therefore the probability that there is at least one student at both Saturday's and Sunday's events is 1 - 1/8 = 8/8 - 1/8 = 7/8
If we can assume those are semi circles, the answer is 5+7.5pi. However, you would need more information if they are not perfect semicircles.
Answer:
8
Step-by-step explanation: