Solution
for this case we have the following function:

And we want to find the limiting size of the population, since this is a logistic function the loading or the limiting size needs to be:
34000
Answer:
(24 + 3√3) / 16.
Step-by-step explanation:
Tan 60° + Cos 30° sin 60° + Cot 30 / csc 30 sec 30
= √3 + √3/2 * √3/2 + √3 / 2 * 2/√3
= 2√3 + 3/4 / 4/√3
= (8√3 + 3)/ 4 / √3
= 24 + 3√3 / 16
Answer:
-10
Step-by-step explanation:
G(x)=x^2-10x+16
g(x)=x^2-10x+25-25+16
g(x)= (x-5)^2-9
minimum value is -9
Answer:
(A) 180
Step-by-step explanation:
We have to treat those player selections as independent events, since one doesn't influence the other (the fact you chose Joe as a guard, shouldn't have an influence on who'll pick as center, unless there's bad blood between some players... but that's a whole other story).
So, how many ways to pick 2 guards from a selection of 4? The order doesn't seem to matter here, since they don't specify for example that Joe can only play on the left side). So, it's a pure combination calculation:

C(4,2) = 6.
How many ways to pick the 2 forwards from a group of 5? Using the same calculation, we get:
C(5,2) = 10.
And of course, the coach has 3 ways to pick a center player from 3.
Then we multiply the possible ways to pick guards, forwards and center...
6 * 10 * 3 = 180 ways.