If the arithmetic mean of the set of values: \( 18,23,29,2 k-1, k \) is 18 , then \( k=--- \) \( \begin{array}{llll}\text { a) } 1 & \text { b) } 7 & \text { c) } 19 & \text { d) } 29\end{array} \)

[a] Find the S.S. of the equation in \( \mathbb{R}:\left(x^{2}+4\right)\left(x^{2}-9\right)=0 \)

Part-II: Fill in the blank space by short answer only (1pt each) 5. What is the negation of; Every student in this class likes mathematics. 6. The GCF and LCM of two numbers are 3 and 180 respectively. If one of the numbers is 12, then the second number is.

1.) The function \( g \) is related to one of the parent functions \[ g(x)=x^{\wedge} 2+6 \] The parent function \( f \) is: \( f(x)=x^{\wedge} 2 \) Use function notation to write \( g \) in terms of \( f \).

3.) The function \( g \) is related to one of the parent functions \( g(x)=-(x-2)^{\wedge} 3 \) a.) Identify the parent function \( f \). b.) Use function notation to write \( g \) in terms of \( f \).

Reduciendo la siguiente expresión \( \sqrt{\frac{20^{x+1}}{4^{x+2}+2^{2 x+2}}} \)