Answer:4
Step-by-step explanation: 77 in total
subtract 77 from 1 to get 76, multiplied by 4 would get you 304. and how many times would 77 go into 304. divide it from 77 and you will get 4.
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: 5
Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.
Notice that our data set is already written from least to greatest.
1, 2, 2, 8, 9, 14
Notice that in this data set, there is no middle number directly because 2 and 8 fall directly in the middle. In this situation, we take the average of these two middle numbers and divide their sum by 2.
Since 2 and 8 are the numbers that appear in the middle, we add them.
2 + 8 gives us 10.
Now we divide 10 by 2 to get 5.
So the median of this data set is 5.
Given: p=2, h=8
5p^2=h
5(2)^2=8 ------- substitution here
5(4)=8
20 doesn't equal 8
I did exponents first because it comes before multiplication in the order of opertions.
Subtract 8 from both sides and then multiply both sides by -5
V = -5
