Answer:
what is the question? where is the diagram?
Answer:
Therefore the age of paint is 8915.78 years.
Step-by-step explanation:
Given that, the paint contain 34 % of the original carbon-14.
The exponential decay model for carbon-14 is
![A=A_0e^{-0.000121t}](https://tex.z-dn.net/?f=A%3DA_0e%5E%7B-0.000121t%7D)
A= Remaining amount of carbon.
= initial amount of carbon.
Here A= 34% of
![=\frac{34}{100}A_0](https://tex.z-dn.net/?f=%3D%5Cfrac%7B34%7D%7B100%7DA_0)
![\therefore \frac{34}{100}A_0=A_0e^{-0.000121t}](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cfrac%7B34%7D%7B100%7DA_0%3DA_0e%5E%7B-0.000121t%7D)
![\Rightarrow \frac{34}{100}=e^{-0.000121t}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B34%7D%7B100%7D%3De%5E%7B-0.000121t%7D)
Taking ln both sides
![\Rightarrow ln|\frac{34}{100}|=ln|e^{-0.000121t}|](https://tex.z-dn.net/?f=%5CRightarrow%20ln%7C%5Cfrac%7B34%7D%7B100%7D%7C%3Dln%7Ce%5E%7B-0.000121t%7D%7C)
![\Rightarrow ln|\frac{34}{100}|={-0.000121t](https://tex.z-dn.net/?f=%5CRightarrow%20ln%7C%5Cfrac%7B34%7D%7B100%7D%7C%3D%7B-0.000121t)
![\Rightarrow t=\frac{ln|\frac{34}{100}|}{-0.000121}](https://tex.z-dn.net/?f=%5CRightarrow%20t%3D%5Cfrac%7Bln%7C%5Cfrac%7B34%7D%7B100%7D%7C%7D%7B-0.000121%7D)
![\Rightarrow t= 8915.78](https://tex.z-dn.net/?f=%5CRightarrow%20t%3D%208915.78)
Therefore the age of paint is 8915.78 years.
Answer:
-23 degree
Step-by-step explanation:
=>-14-5-3-1
=>-23
Answer:
The area of the entire rectangle is given by: x^3 + 11x^2 + 18x
Step-by-step explanation:
The calculation of its area is straightforward, we only need to multiply its height times its width:
A = (x + 9)(x^2 + 2x)= x^3 + 2x^2 + 9x^2 +18x = x^3 + 11x^2 + 18x
Therefore the are are of the entire rectangle is given by: x^3 + 11x^2 + 18x