Please help, the problem is due tomorrow
1 answer:
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Answer:
64
Step-by-step explanation:
can be found by first finding
then taking that result and putting it into the function
.
means we are going to take the expression
and evaluate it for
:
So .
So we have this so far:
.
was found by replacing
in
with
.
Answer:
% Remaining
And replacing the value t =5.5 hours we got:
% Remaining
Step-by-step explanation:
Previous concepts
The half-life is defined "as the amount of time it takes a given quantity to decrease to half of its initial value. The term is most commonly used in relation to atoms undergoing radioactive decay, but can be used to describe other types of decay, whether exponential or not".
Solution to the problem
The half life model is given by the following expression:
Where A(t) represent the amount after t hours.
represent the initial amount
t the number of hours
h=2.6 hours the half life
And we want to estimate the % after 5.5 hours. On this case we can begin finding the amount after 5.5 hours like this:
Now in order to find the percentage relative to the initial amount w can use the definition of relative change like this:
% Remaining =
We can take common factor and we got:
% Remaining
And replacing the value t =5.5 hours we got:
% Remaining