To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{16}{16}} \)
\( \frac{\sqrt{16}}{\sqrt{16}} \)
\( \frac{\sqrt{4^2}}{\sqrt{4^2}} \)
1

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

4 + (5 + 4) ÷ 4 x 2 - 4²
P: 4 + (9) ÷ 4 x 2 - 4²
E: 4 + 9 ÷ 4 x 2 - 16
MD: 4 + \( \frac{9}{4} \) x 2 - 16
MD: 4 + \( \frac{18}{4} \) - 16
AS: \( \frac{16}{4} \) + \( \frac{18}{4} \) - 16
AS: \( \frac{34}{4} \) - 16
AS: \( \frac{34 - 64}{4} \)
\( \frac{-30}{4} \)
-7\(\frac{1}{2}\)

The equation for this sequence is:

a_n = a_n-1 + 4(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 + 4(6 - 1)
a₆ = 41 + 4(5)
a₆ = 61

First, solve for \( \left|y + 4\right| \):

\( \left|y + 4\right| \) - 2 = 0
\( \left|y + 4\right| \) = 0 + 2
\( \left|y + 4\right| \) = 2

The value inside the absolute value brackets can be either positive or negative so (y + 4) must equal + 2 or -2 for \( \left|y + 4\right| \) to equal 2:

So, y = -6 or y = -2.

A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:

35,000 fans x \( \frac{2}{3} \) = \( \frac{70000}{3} \) = 23,333 fans.