The domain of \( f(x)=\left\{\begin{array}{ll}\sqrt{x-5} & , x>3 \\ \frac{1}{x+5} & , x<0\end{array}\right. \) is:

3.(1 ponnt) Perform the indicated operations. Express the result using positive exponents. \[ 10^{-6} \cdot 10^{-1} \cdot 10^{4} \] a) \( 10^{24} \)

The term at position \( n \) in a sequence is \( n+2 \) Work out the \( 5^{\text {th }} \) term in this sequence. (Hint: the \( 5^{\text {th }} \) term is when \( n=5 \) )

Change to a decimal : \( 6 \frac{3}{4} \% \)

39. \( -4(6+4) \div(-2)+1= \) 40. \( 12 \div(7-4)-2= \) 41. \( 1+4^{2} \div(3+1)= \)

Perform the indicated operations. Write the result in scientific notation rounded to three significant digits. \[ \left(\frac{9.6 \times 10^{-3}}{\left(2.45 \times 10^{-4}\right)\left(1.1 \times 10^{5}\right)}\right)^{6} \]