In order to find the inverse of
we first replace A(x) with y:
Then we replace every y with an x and every x with a y, like so:
We solve this new equation for y:
We raise both sides of the equation to the fifth power:
Finally, we replace y with the inverse of the function:
and that is the inverse function.
Answer:
308
Step-by-step explanation:
7x3x11=308
The word each means to multiply in math.
Step-by-step explanation:
Percentage for Rollerblading
= Total - Percentage for Swimming - Percentage for Biking
= 100% - 43% - 15%
= 42%.
Your answer should and must be 5
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