reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee Step-by-step explanation: yyyyyyyyyyyyyyyyyyyyyyyyyeeeeeeeeeeeeeeeeeeeeeet
Answer:
C: None of the above
Step-by-step explanation:
Answer:
3820 years
Step-by-step explanation:
The age of the skull can be found using carbon-14 by applying the half-life relationship.
Age of skull is given by;
![t=(\frac{In\frac{N}{N0} }{-0.693} )*5730](https://tex.z-dn.net/?f=t%3D%28%5Cfrac%7BIn%5Cfrac%7BN%7D%7BN0%7D%20%7D%7B-0.693%7D%20%29%2A5730)
where N=63 N₀=100 -0.693=decay factor of carbon and 5730 =half-life of carbon-14, t =age
substitute values in equation
![t=(\frac{In\frac{63}{100} }{-0.693} )*5730\\\\\\t=(\frac{In0.63}{-0.693} )*5730\\\\\\t=(\frac{ -0.4620}{-0.693} )*5730\\\\\\t=(0.6667)*5730\\\\\\t=3820.29\\\\\\t=3820years](https://tex.z-dn.net/?f=t%3D%28%5Cfrac%7BIn%5Cfrac%7B63%7D%7B100%7D%20%7D%7B-0.693%7D%20%29%2A5730%5C%5C%5C%5C%5C%5Ct%3D%28%5Cfrac%7BIn0.63%7D%7B-0.693%7D%20%29%2A5730%5C%5C%5C%5C%5C%5Ct%3D%28%5Cfrac%7B%20-0.4620%7D%7B-0.693%7D%20%29%2A5730%5C%5C%5C%5C%5C%5Ct%3D%280.6667%29%2A5730%5C%5C%5C%5C%5C%5Ct%3D3820.29%5C%5C%5C%5C%5C%5Ct%3D3820years)
The point of intersection of the two lines is at (1,-1)
<h3>System of equation</h3>
The given system of expression is shown below
x - 2y = 3
5x + 3y = 2
The solution to the system of equation is the point of intersection
From equation 1
x = 3 + 2y
Substitute into 2
5(3+2y) + 3y = 2
15 +10y + 3y = 2
13y = -13
y = -1
Substitute y = -1 into 3
x = 3 + 2y
x = 3+(-2)
x = 1
Hence the point of intersection of the two lines is at (1,-1)
Learn more on system of equation here: brainly.com/question/25976025
#SPJ1