Answer:

Step-by-step explanation:
We need to evaluate 
(5+6i)(5+6i) = (25 + 36i² + 60i) = (25 - 36 + 60i) = -11 + 60i
= 
Now we rationalize the denominator.
Now, multiplying both the numerator and denominator by (6-i)

= 
Formula used:
(a+b)² = a² + b² + 2ab
i² = -1
Answer:
6w
Step-by-step explanation:
You can't simplify it any further:
6 * w
w+w+w+w+w+w
<u>6w</u>
Answer:
1). Number of kids on the other side = 16
2). Brian took the time to each piece of pie = 20 seconds
Step-by-step explanation:
1). Let the number of kids on one side = x
Then the number of kids on other side = 2x
3 adults helped the side having number of kids = x, then the number of people on this side = x + 3
Since the total number of people on this side = 11
Then the equation will be,
x + 3 = 11
x = 11 - 3
x = 8
Then number of kids on the other side = 2x = 2×8
= 16
2). By unitary method,
∵ Brian took the time to eat 6 pieces of the pie = 2 minutes
∴ Brian will take time to eat 1 piece of pie =
minutes
=
seconds
= 20 seconds
Answer: See explanation
Step-by-step explanation:
From the question, the booster club needs to raise at least $8,000 for new football uniforms and they've already raised $1,270.
The inequality to find the average amounts each of the 97 members can raise to meet the club's objective will be:
97x ≥ 8000 - 1270
97x ≥ 6730
x ≥ 6730/97
x ≥ 69.38
The geometric mean for the above set of data given is: 1.1475 (Option B). See the explanation below.
<h3>What is Geometric Mean?</h3>
The geometric mean can be defined as the average rate of return of a set of values obtained by multiplying the terms together.
Geometric mean is best suited for series with serial correlation, which is notably true for investment portfolios.
<h3>What is the computation justifying the above answer?
</h3>
The formula for geometric mean is given as:
![\left(\prod _{i=1}^{n}x_{i}\right)^{\frac {1}{n}}={\sqrt[{n}]{x_{1}x_{2}\cdots x_{n}}}](https://tex.z-dn.net/?f=%5Cleft%28%5Cprod%20_%7Bi%3D1%7D%5E%7Bn%7Dx_%7Bi%7D%5Cright%29%5E%7B%5Cfrac%20%7B1%7D%7Bn%7D%7D%3D%7B%5Csqrt%5B%7Bn%7D%5D%7Bx_%7B1%7Dx_%7B2%7D%5Ccdots%20x_%7Bn%7D%7D%7D)
Hence,
The geometric Mean =
1.0147506490423
1.1475
Learn more about Geometric Mean:
brainly.com/question/23706022
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