A function is relationship where a member of the Domain maps to one and only one member of the Range.
To prove a relationship is a function, a VERTICAL LINE TEST may be performed. If a vertical line cuts the graph of a relationship only once then it is a function if not, then it is not.
View the image attached for the test.
The answer is
option A
Answer: 41.5 min
Step-by-step explanation:
This problem can be solved with the Radioactive Half Life Formula:
(1)
Where:
is the final amount of the radioactive element
is the initial amount of the radioactive element
is the time elapsed
is the half life of the radioactive element
So, we need to substitute the given values and find
from (1):
(2)
(3)
(4)
Applying natural logarithm in both sides:
(5)
(6)
Clearing
:
This is the time elapsed
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