Using the Fundamental Counting Theorem, it is found that there are 10 positive three-digit integers have the hundreds digit equal to 7 and the units (ones) digit equal to 1.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with 
ways to be done, each thing independent of the other, the number of ways they can be done is:
The number of options for each selection are given as follows, considering there are 10 possible digits, and that the last two are fixed at 7 and 1, respectively:
Hence, the number of integers is given by:
N = 10 x 1 x 1 = 10.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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We have been given that function that models the population to be:
p(t)=7te^(-t/12)
we are required to compute for the time taken for the percentage of infected people to be maximum.
from the interval given, the maximum number will be at the point p'(t)
from the function;
p'(t)=-7/12e^(-t/12)(t-12)
equating this to zero and solving for t we get:
-7/12e^(-t/12)(t-12)=0
t=12
hence it will take a maximum of 12 days for infection to reach it's maximum percentage.
Answer:
64q^6r^8s^4
Step-by-step explanation:
(-8q^3r^4s^2)^2
= (-8)^2 q^(3*2) r^(4*2) s^(2*2)
= 64q^6r^8s^4
Step-by-step explanation:
diameter: 8
radius: 4
height: 18
Place the middle part of the protractor (where the lines intersect) on the vertex of the angle, then just look at the number the other arrow’s pointing!
