Answer:
(y-18%) + (y+8%)
Step-by-step explanation:
Answer:
The artifact was made approximately 13,306 years ago
Step-by-step explanation:
The half-life of Carbon-14 = 5730 years
The formula for radioactive decay is given by the equation:
![N=N_0 e^{- \lambda t}\\where:\\N = Number\ of\ particles\ at\ time\ t\\N_0= Number\ of\ particles\ at\ time\ t_0\\\lambda = decay\ constant = \frac{In}{t_{1/2}} ; t_{1/2} = half-life\\t = time\ in\ years](https://tex.z-dn.net/?f=N%3DN_0%20e%5E%7B-%20%5Clambda%20t%7D%5C%5Cwhere%3A%5C%5CN%20%3D%20Number%5C%20of%5C%20particles%5C%20at%5C%20time%5C%20t%5C%5CN_0%3D%20Number%5C%20of%5C%20particles%5C%20at%5C%20time%5C%20t_0%5C%5C%5Clambda%20%3D%20decay%5C%20constant%20%3D%20%5Cfrac%7BIn%7D%7Bt_%7B1%2F2%7D%7D%20%3B%20t_%7B1%2F2%7D%20%3D%20half-life%5C%5Ct%20%3D%20time%5C%20in%5C%20years)
The amount of Carbon-14 left = 20% = 20/100 = 0.2
![\therefore \frac{N}{N_0} = 20 \% = 0.2](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cfrac%7BN%7D%7BN_0%7D%20%3D%2020%20%5C%25%20%3D%200.2)
![N=N_0 e^{- \lambda t}\\\\dividing\ both\ sides\ by\ N_0\\\frac{N}{N_0} = e^{- \lambda t}\\0.2 = e^{- \lambda t}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.2 = Ine^{- \lambda t}\\In0.2 = -\lambda \times t\\but\ \lambda = \frac{In2}{t_{1/2}} \\\therefore In0.2 = -\lambda \times t\\\\= In0.2 = - \frac{In2}{t_{1/2}} \times t\\where\ t_{1/2} = 5730\ years\\-1.6094 = - \frac{0.6931}{5730} \times t\\-1.6094 = - 0.00012095 \times t\\t = \frac{-1.6094}{-0.00012095} \\t = 13,306.32](https://tex.z-dn.net/?f=N%3DN_0%20e%5E%7B-%20%5Clambda%20t%7D%5C%5C%5C%5Cdividing%5C%20both%5C%20sides%5C%20by%5C%20N_0%5C%5C%5Cfrac%7BN%7D%7BN_0%7D%20%3D%20e%5E%7B-%20%5Clambda%20t%7D%5C%5C0.2%20%3D%20e%5E%7B-%20%5Clambda%20t%7D%5C%5Ctaking%5C%20natural%5C%20logarithm%5C%20of%5C%20both%5C%20sides%5C%5CIn%200.2%20%3D%20Ine%5E%7B-%20%5Clambda%20t%7D%5C%5CIn0.2%20%3D%20-%5Clambda%20%5Ctimes%20t%5C%5Cbut%5C%20%5Clambda%20%3D%20%5Cfrac%7BIn2%7D%7Bt_%7B1%2F2%7D%7D%20%5C%5C%5Ctherefore%20In0.2%20%3D%20-%5Clambda%20%5Ctimes%20t%5C%5C%5C%5C%3D%20In0.2%20%3D%20-%20%5Cfrac%7BIn2%7D%7Bt_%7B1%2F2%7D%7D%20%5Ctimes%20t%5C%5Cwhere%5C%20t_%7B1%2F2%7D%20%3D%205730%5C%20years%5C%5C-1.6094%20%3D%20-%20%5Cfrac%7B0.6931%7D%7B5730%7D%20%5Ctimes%20t%5C%5C-1.6094%20%3D%20-%200.00012095%20%5Ctimes%20t%5C%5Ct%20%3D%20%5Cfrac%7B-1.6094%7D%7B-0.00012095%7D%20%5C%5Ct%20%3D%2013%2C306.32)
t ≈ 13,306 years
The domain are the X values.
Each set of parenthesis is written as (x,y), so the domain would be the first number in each set of parenthesis.
{-3, -1, 0, 1, 5}
Answer:
got to get some point for my questions sorrry
Step-by-step explanation: