Hideki is draining a 45 -gallon aquarium at a rate of 15 gallons per minute. What is the initial value of the linear function that represents this situation? 15 gallons 30 gallons 45 gallons 60 gallons

Factor completely: \[ 2 u^{4} w^{4}-2 w^{4} \]

Add. \[ \frac{-5}{8 w^{2} y}+\frac{3}{4 w y^{2}} \] Simplify your answer as much as possible.

Determine the geometric sequence if the second term is \( \frac{1}{9} \) and the sixth term is \( \frac{1}{729} \)

The height \( h \), in feet, of a projectile can be modeled by the equation \( h(t)=-16 t^{2}+v_{0} t+h_{0} \) where \( t \) is the time in seconds, \( h_{0} \) is the projectile's initial height in feet, and \( v_{0} \) is the projectile's initial vertical velocity in feet per second. Solve the projectile motion problem by completing the square. A soccer player kicks a soceer ball from the ground with an initial vertical velocity of var : \( v 0 \) feet per secoad. When will the ball land back on the ground? Round to the nearest tenth of a second. Enter the correct value in the box. Show Hints The ball will land on the ground again in \( \square \) second(s).

Factor completely: \[ 32 v^{3}-2 v^{3} x^{4} \]