Use a truth table to determine whether the two statements are equivalent. \( \sim p \rightarrow \sim q \) and \( q \rightarrow p \) Choose the correct answer below. The statements are not equivalent. The statements are equivalent.

Use the remainder theorem to find \( P(1) \) for \( P(x)=-x^{3}+2 x^{2}-4 x-6 \). Specifically, give the quotient and the remainder for the associated division and the value of \( P(1) \). Quotient \( =\square \) \( P(1)=\square \)

If the set is empty, enter DNE. \( A \cup B^{c}=\{3,4,5,7,10 \) \( A^{c} \cap B=\{ \)

5) \( \frac{2}{3} \bigcirc \frac{3}{6} \)

16. \( \frac{2 x+10}{4 x+20} \)

In exam study guide \( 1 \leqslant \quad \begin{array}{l}\text { Solve the equation. } \\ \sqrt{5 x}-x+10=0\end{array} \)