What is greater than 0.58 and less than 0.6
2 answers:
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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
Option D:
Solution:
Given function:
To find the inverse of the function.
<u>Inverse of a function:</u>
<em>If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back to x.</em>
Interchange the variables x and y.
Now, solve for y.
Multiply both sides by (y - 5).
Cancel the common factors, we get
Divide by x on both sides.
Add 5 on both sides.
To make the denominator same, multiply the 2nd term by .
Option D is the correct answer.