Given:-
To find:-
The simplified form.
At first we take conjucate and multiply below and above.
The conjucate is,
So now we multiply. we get,
Now we simplify. so we get,
We know the value of,
Substituting the value -1. we get,
So now we split the term to bring it into the form a+ib. so we get,
So the required solution is,
Answer:
Explanation:
The question is "Einstenium-253 is an element that loses about 2/3 of its mass every month. A sample of einstenium-253 has 450 grams. Write a function that gives the sample's mass in grams, S(t) from today".
Since <em>einstenium-253 loses about 2/3 of its mass every month</em>, you can model the amount of sample by an exponential decay function, which is a geometric progression with a growing factor less than 1.
The general form of an exponential decay function is:
Where:
In this case, you have:
Now you can replace the values in the model and will obtain: