A town has five police dogs. If a radio dispatcher receives a call, depending on the nature of the situation, some, all, or none of the dogs can be sent. How many options does the dispatcher have for sending the police dogs to the scene of the caller? The dispatcher has \( \square \) options. (Type a whole number.)

(1) \( \cot ^{2}(\theta)-\csc ^{2}(\theta) \)

1. What is the distance between \( (-5,2) \) and \( (-9,2) \) ?

b. De un tanque lleno de agua se utiliza la cuarta parte para lavar la ropa, los cinco sextos del resto, para cocinar y aún quedan cien litros de agua. i. ¿Cuál es la cantidad total de litros de agua del tanque? ii. ¿Cuántos litros se utilizan para lavar la ropa? iii. ¿Cuántos para cocinar?

A ball is thrown vertically upward from the top of a building 128 feet tall with an initial velocity of 32 feet per second. The distance \( s \) (in feet) of the ball from the ground after \( t \) seconds is \( s(t)=128+32 t-16 t^{2} \). (a) After how many seconds does the ball strike the ground? (b) After how many seconds will the ball pass the top of the building on its way down? (a) After \( \square \) seconds the ball strikes the ground. (b) The ball passes the top of the building on its way down after seconds.

b) \( (5,4) \) y \( \left(-\frac{x_{2}}{x_{1}}, 2^{y_{2}}, 2\right) \)