Solve. \( -3 \frac{2}{3}=x-1 \frac{1}{4} \) What is the solution to the equation? Enter your answer as a simplified mixed number in the box.

Which of the following is equal to \( \log \sqrt[4]{1000} \) ? ( 1 point) \( \begin{array}{l}\frac{3}{4} \\ -\frac{4}{3} \\ -\frac{3}{4}\end{array} \)

1a. Calculate the next two terins of each of the following sequences \( \begin{array}{ll}\text { (a) } 11,8,5, \ldots & \text { (d) } 4,9,14, \ldots \\ \text { (c) } 3 \frac{1}{2}, 3 \frac{1}{2}, 7,5,10 \frac{1}{2}, \ldots & \text { (e) } 1,5,9,13, \ldots\end{array} \)

Simplify. \( 9^{\frac{3}{2}} \)

c) \( \sqrt[3]{729} \cdot 4^{2}-\sqrt{49} \cdot 5^{0} \cdot 1^{3} \)

What value is equivalent to \( \log _{2} 13 \) to the nearest thousandth? Use the change of base formula to determine your answer. (1 point) 0.270 3.700 0.813 0.557