If a worker accidentally drops a bolt from the top of a 2304 foot tall tower, the height of the bolt after \( t \) seconds is given by the expression \( 2304-16 \mathrm{t}^{2} \). a. Find the height of the bolt after 2 seconds. b. Find the height of the bolt after 5 seconds. c. To the nearest whole second, estimate when the bolt hits the ground. d. Factor \( 2304-16 t^{2} \).

Solve the inequality (algebraically). \( \frac{(x-9)(x+9)}{x}<0 \) A. \( (-\infty,-9) \cup(9, \infty) \) B. \( [-9,0) \cup[9, \infty) \) C. \( [-9,0) \cup(0,9] \) D. \( (-\infty,-9) \cup(0,9) \)

Dibuje una gráfica en GeoGebra que corresponda al sistema de ecuaciones lineales dado y determine geométricamente si cada sistema tiene una solución única, un número infinito de soluciones o ninguna solución. Luego, resuelva cada sistema algebraicamente para confirmar su respuesta. \[ A=\left\{\begin{array}{c}2 x-3 y=-8 \\ 3 x+4 y=5\end{array}\right. \]

Use exponential rules to write an equivalent exponential function with only \( x \) in the exponent. Answers should be of the form \( g(x)=a\left(b^{x}\right) \). Express your answers using fractions. \( g(x)=4^{x-1} \)

d. What is the \( z \)-score for a music artist that uses 6,400 unique words in their songs?

Previous Problem Problem List Next Problem (1 point) Find all exact solutions on the interval \( 0 \leq \theta<2 \pi \). If there is more than one answer, enter as a comma separated list. \( 2 \cos (3 \theta)=-\sqrt{3} \) \( \theta=\square \) help (angles)