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:
Length of each shelf is 0.45 meters
Step-by-step explanation:
Given
Required
Determine the length of each shelf
This is calculated by dividing the total length by number of shelves as thus:
Hence;
<em>Length of each shelf is 0.45 meters</em>
write fractions for each type of song out of the total
10/45 country
15/45 pop
5/45 r&b
10/45 rap
5/45 techno
write these fractions in their simplest forms
2/9 country
1/3 pop
1/9 r&b
2/9 rap
1/9 techno
<em>the chances of the next song played on shuffle being pop is 15/45, or 1/3</em>
<em>(hope this helps! if it does, please give brainliest! thank you x)</em>
