I = sqrt(-1), i^2 = -1
So multiplying it out;
4 - 14i + 14i - 49i^2
4 - 49 * -1
= 53
The answer to this would be 3 x 2 x 5
There are 48 available subjects. Researchers should select 4 of them for their experiment.
We should find the number of possible different random samples. The order of the selected subjects is not important. This means that we need to find how many different combinations of subjects from total 48 are possible. <span>A </span>formula<span> for the number of possible </span>combinations<span> of </span>r<span> objects from a </span>set<span> of </span>n<span> objects is: n!/r!(n-r)!. In our case n=48 and r=4:
C=48!/44!*4!=48*47*46*45*44!/44!*4!=</span><span>48*47*46*45/4*3*2*1=4669920/24=
194580.</span>
Answer:
24.1 billion
Step-by-step explanation:
One way to write the logistic function is ...
P(t) = AB/(A +(B-A)e^(-kt))
where A is initial value (P(0)), and B is the carrying capacity (P(∞)). We are told to use relative population growth in the 1990s as the value for k.
In billions, we have ...
A = 5.3
B = 100
k = 0.02/5.3 ≈ 0.003774 . . . . . relative growth rate at 20 M per year
t = 2450 -1990 = 460
Answer:
(x, y) = (-1, 6)
Step-by-step explanation:
y = 2x + 8
y = 5 - x
Substituting the second equation into the first equation, we get:
5 - x = 2x + 8
5 = 3x + 8
-3 = 3x
x = -1.
So, y = 5 - (-1).
Simplifying, we get:
y = 6.
