B.) 6?....
This seems too easy for it to be correct but I think it is B.
Answer: C. 13,839 (the answer is not among the given options, however the result is near this value)
Step-by-step explanation:
The exponential decay model for Carbon-
14 is given by the followig formula:
(1)
Where:
is the final amount of Carbon-
14
is the initial amount of Carbon-
14
is the time elapsed (the value we want to find)
On the other hand, we are told the current amount of Carbon-14 is , assuming the initial amount of Carbon-14 is :
(2)
This means: (2)
Now,finding from (1):
(3)
Applying natural logarithm on both sides:
(4)
(5)
(6)
Finally:
This is the age of the paintings and the option that is nearest to this value is C. 13839 years
The x-value of the vertex of the given parabola is x = 5, so the correct option is b.
<h3>
How to get the x-value of the vertex?</h3>
If we define the parabola by f(x), by looking at the table, we can read:
So, notice that:
f(2) = f(8).
Then the x-coordinate of the vertex is the midpoint between 2 and 8.
x = (2 + 8)/2 = 5
The x-value of the vertex of the given parabola is x = 5, so the correct option is b.
If you want to learn more about parabolas:
brainly.com/question/4061870
#SPJ1
Well you cannot write it in rational form, since it already is.
Rational form means a fraction. And -3 5/8 is a fraction..
Please correct me if I am wrong.