Answer:
The first blank is Reflection across the line x=-3
The second blank is reflection across the line y=x
for Edumentum/PLATO
Step-by-step explanation:
I just did the test. I got it correct. Good luck to everyone else taking their finals rn :)
Answer:
a) k = 0.0001245 /year
b) The Shroud of Turin is 757.52 years old.
Step-by-step explanation:
a) dC/dt = - KC
dC/C = - kdt
Integrating the left hand side from C₀ to C₀/2 and the right hand side from 0 to t(1/2) (where t(1/2) is the radioactive isotope's half life)
In [(C₀/2)/C₀] = - k t(1/2)
In (1/2) = - k t(1/2)
- In 2 = - k t(1/2)
k = (In 2)/t₍₁,₂₎
t(1/2) is given in the question to be 5566 years
k = (In 2)/5566 = 0.0001245 /year
b) dC/C = - kdt
Integrating the left hand side from C₀ to C and the right hand side from 0 to t
In (C/C₀) = - kt
C/C₀ = e⁻ᵏᵗ
C = C₀ e⁻ᵏᵗ
When C = 91% of C₀ = 0.91 C₀, solve for t
0.91 C₀ = C₀ e⁻ᵏᵗ
0.91 = e⁻ᵏᵗ
e⁻ᵏᵗ = 0.91
- kt = In 0.91 = -0.00943
t = - 0.00943/(-0.0001245) = 757.52 years.
To solve this, we are going to set up a simple rule of three: If 20% are 48 cars, 100% how many cars will be:

Now, we can express this as a proportion ans solve for

:


We can conclude that there are 240 cars in the parking lot.
As given by the question
There are given that the $2c-$25=$69.
Now,

Hence, the correct answer is C.