Answer:
Expand it.
(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).
Multiply everything out (being sure to multiply <em>every</em> term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.
i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:
1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):
(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.
Simplify again, and the answer is: -11-2i
Step-by-step explanation:
I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.
Answer:
7.5 MW
Step-by-step explanation:
The power generated from a falling water is a function of its height and volume. The power generated an be calculated using the formula:
Power (P) = Density(ρ) * volume flow rate(Q) * acceleration due to gravity(g) * height(h)
P = ρQgh
But Qh = Velocity(v) * volume(V).
Hence power = ρvgV
Given that ρ of water = 1000 kg/m³, v = 75 m/s, V = 10 m³, g = 10 m/s². Substituting:
P = ρvgV = 1000 * 75 * 10 * 10 = 7500000 W
P = 7.5 MW
2(x-2)+(x+3)
=(2x-4)+(x+3)
=2x-4+x+3
=3x-1
