Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

2 + (4 + 2) ÷ 2 x 4 - 3²
P: 2 + (6) ÷ 2 x 4 - 3²
E: 2 + 6 ÷ 2 x 4 - 9
MD: 2 + \( \frac{6}{2} \) x 4 - 9
MD: 2 + \( \frac{24}{2} \) - 9
AS: \( \frac{4}{2} \) + \( \frac{24}{2} \) - 9
AS: \( \frac{28}{2} \) - 9
AS: \( \frac{28 - 18}{2} \)
\( \frac{10}{2} \)
5

To add these radicals together their radicands must be the same:

4\( \sqrt{45} \) + 9\( \sqrt{5} \)
4\( \sqrt{9 \times 5} \) + 9\( \sqrt{5} \)
4\( \sqrt{3^2 \times 5} \) + 9\( \sqrt{5} \)
(4)(3)\( \sqrt{5} \) + 9\( \sqrt{5} \)
12\( \sqrt{5} \) + 9\( \sqrt{5} \)

Now that the radicands are identical, you can add them together:

If 83% of the town's 32,000 voters cast ballots the number of votes cast is:

(\( \frac{83}{100} \)) x 32,000 = \( \frac{2,656,000}{100} \) = 26,560

The mayor got 51% of the votes cast which is:

(\( \frac{51}{100} \)) x 26,560 = \( \frac{1,354,560}{100} \) = 13,546 votes.

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

The equation for this sequence is:

a_n = a_n-1 + 2(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 2(6 - 1)
a₆ = 21 + 2(5)
a₆ = 31