If P(x) = x² + x + 1 and Q(x) = 4x² - 1, find P(6).
2 answers:
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For this case we have the following functions:
We must find (g * h) (x)
By definition we have to:
So:
Now, we evaluate the function at x = -3:
Answer:
Answer:
Step-by-step explanation:
The decay rate of a radioactive isotope (also called activity of the isotope) is given by:
where
r is the decay rate
k is the decay constant
N is the number of nuclei in the radioactive sample
The decay constant of a radioactive isotope is also related to the half-life of the isotope by the formula
where
is the half-life of the isotope, which is the time taken for the sample to halve, compared to its initial amount
In this problem, the half-life of plutioniun-239 is
Therefore, the k-factor (decay constant) is: