<u>Given</u>:
The two functions are ,
We need to determine the value of and
<u>Value of </u><u>:</u>
Let us determine the value of
Now, substituting x = -3, we get;
Thus, the value of is 17
<u>Value of </u><u>:</u>
Let us determine the value of
Substituting x = -3, we get;
Thus, the value of is 22.
Answer:
x = 2
Step-by-step explanation:
24 = 3*4x
24 = 12x
24 / 12 = x
2 = x
Answer:
25.9 years
Step-by-step explanation:
The half life of an isotope is related to the actual amounts by the equation:
N = Ni*(1/2)^(t/HL)
where N and Ni are the final and initial (Ni) amounts, t is the time (in years for this problem) and HL is the half-life, in years.
In this problem, we can write:
100 = 360*(1/2)^(x/14)
I'll reduce this to:
1 = 3.6*(1/2)^(x/14)
This can be solved by taking the log of both sides.
x = 25.87 or 25.9 years
Answer: 0.07
Step-by-step explanation: Since it is a binomial experiment , we will use the formula:
n C r
p = 0.35
q = 1 - 0.35 = 0.65
n is the number of trials = 7
r = 3
substituting into the formula, we have
7 C 3 (
= 35(
=0.0736
to the nearest tenth
= 0.07