Answer:
<h2>NONE OF THEM</h2>
Step-by-step explanation:
From the graph,
y and x intercepts are
and approximately
respectively
for A, C and D : ![y=53x-3](https://tex.z-dn.net/?f=y%3D53x-3)
x intercept the value of y=0, and y intercept x=0.
x and y intercepts are
and approximately
respectively
for B: ![y=35x-5](https://tex.z-dn.net/?f=y%3D35x-5)
x and y intercepts are
and approximately
respectively
Therefore x and y intercepts for the lines
and
they are not equal to the x and y intercepts of the given graph
Answer:
24
Step-by-step explanation:
= 4 (6) - 4 (√2) + √2 (6) - √2 <span>√2
</span>= 24 - 4√2 + 6√2 - 2
= (24 - 2) + (- 4√2 + 6√2)
= 22 + √2(- 4 + 6)
= 22 + √2 (2)
= 22 + 2√2
hope it helps
Answer:
16,383.33 years ( approx )
Step-by-step explanation:
Given equation that shows the amount of carbon-14 after t years,
![y = y_0 e^{-0.00012t}](https://tex.z-dn.net/?f=y%20%3D%20y_0%20e%5E%7B-0.00012t%7D)
Where,
= initial amount,
∵ 14% of
=
= ![\frac{7}{50}y_0](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B50%7Dy_0)
![\frac{7}{50}y_0= y_0 e^{-0.00012t}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B50%7Dy_0%3D%20y_0%20e%5E%7B-0.00012t%7D)
![\frac{7}{50}=e^{-0.00012t}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B50%7D%3De%5E%7B-0.00012t%7D)
Taking ln both sides,
![\ln(\frac{7}{50})=-0.00012t](https://tex.z-dn.net/?f=%5Cln%28%5Cfrac%7B7%7D%7B50%7D%29%3D-0.00012t)
![-1.966=-0.00012t](https://tex.z-dn.net/?f=-1.966%3D-0.00012t)
![\implies t =\frac{-1.966}{-0.00012}=16383.33](https://tex.z-dn.net/?f=%5Cimplies%20t%20%3D%5Cfrac%7B-1.966%7D%7B-0.00012%7D%3D16383.33)
Hence, the painting would be 16383.33 years old ( approx )