Answer:
i^32 = 1
Step-by-step explanation:
For i = √(-1), i^2 = -1 and i^4 = (-1)^2 = 1.
We know that ...
i^32 = (i^4)^8
Substituting for i^4, we have ...
i^32 = 1^8 = 1
5x -2y = 26. We know that x = y + 4. Substitute the value of x in and you get 5y + 20 - 2y = 26 If yous simplify this you get 3y + 20 = 26
Take away 20 from both sides and you end up with 3y = 6
Now did use both sides by 3
You end up with y = 2
Now to find x you just simplify the value of y into x = y + 4. You end up with x = 2 + 4. Now you know that y = 2 and. X = 6
Answer:
11.0 years
Step-by-step explanation:
The exponential function describing the population growth can be written ...
population = (initial population)×(1 +growth rate)^years
If t represents the number of years, we can fill in the values to get ...
18500 = 12000×1.04^t
Dividing by 12000 gives ...
18500/12000 = 1.04^t
Taking logarithms, we have ...
log(18500/12000) = t×log(1.04)
t = log(185/120)/log(1.04) ≈ 11.037 ≈ 11.0
It will be 11.0 years until the population reaches 18,500.
The abs were pretty bad and
Answer:
y=4x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-2)/(1-0)
m=4/1
m=4
y-y1=m(x-x1)
y-2=4(x-0)
y-2=4x
y=4x+2
