Determine whether the following equation defines \( y \) as a function of \( x \). \( x^{2}+y^{2}=49 \) point(s) possibl Does the equation \( x^{2}+y^{2}=49 \) define \( y \) as a function of \( x \) ? Yes No

Work out the \( n \)th term of the following number patterns. a) \( 2,4,6,8, \ldots \) b) \( 3,5,7,9, \ldots \) c) \( 5,8,11,14, \ldots \) d) \( 1,5,9,13, \ldots \) e) \( 12,22,32,42, \ldots \) f) \( 2,8,14,20, \ldots \) g) \( 3,4.5,6,7.5, \ldots \)

Evaluate each expression. (a) \( \log _{6} 6= \) (b) \( \log _{4} \frac{1}{64}=\square \)

Rationalize the denominator and simplify. Assume that the variable represents a positive real number. \[ \sqrt{\frac{2}{w}} \]

A sewage treatment plant discharges a pollutant with a concentration of \( 18 \mathrm{mg} / \mathrm{L} \). The plant's total discharge is 0.15 MGD (millions of gallons per day). Determine the rate of pollutant released in pounds day. Give your answer accurate to at least two decimal places.

UMEROS REALES: 1) Resuelve extrayendo factores de los radicales \( \begin{array}{ll}\text { a) } \sqrt{48}+\sqrt{27}= & \text { b) } 9 \cdot \sqrt{12}-2 \cdot \sqrt{75}=\end{array} \)