Practice It! Select the statement(s) that accurately describe the distance-time graph shown. \( \square \) object A traveled at a constant speed of 5 meters per second. \( \square \) objects A, B and C traveled uphill. \( \square \) objects C traveled the shortest distance in 60 seconds. \( \square \) objects A, B and C are showing positive acceleration. \( \square \) Object B traveled at a constant speed of 0.4 meters per second.

1. (10 Puntos) Resolver la siguiente ecuación en diferencias usando la transformada Z. \[ \begin{array}{l}x(n+3)-4 \cdot x(n+1)=3^{n} \\ x(0)=1 \\ x(1)=2 \\ x(1)=3\end{array} \]

2) ¿Cuál es el complemento de un ángulo de \( 45^{\circ} 27^{\prime \prime} 39^{\prime \prime} ? \) ¿Y su suplemento?

Simplify the following expression. \( \left.\qquad \frac{a^{4}}{b^{5}}\right)^{4} \)

Divide the polynomial by the monomial. (Simplify your answer completely.) \( \frac{25 x^{2}+5 x-4}{-5 x} \) \( \square \)

When an object is thrown upward, its height ( S ), in meters, is given (approximately) by the quadratic equation \( \mathrm{S}=-5 \mathrm{t}^{2}+\mathrm{vt}+\mathrm{h} \), where \( v \) is the upward initial velocity in meters/second, \( t \) is the time of flight in seconds, and \( h \) is the height above level ground from which the object is thrown. Johnny is standing on a platform 12 meters high and throws a ball straight up as high as he can at a velocity of 17 meters/second. At what time \( t \) will the ball hit the ground? How far from the ground is the ball after 3 seconds have elapsed from the time of the throw? (Assume that the ball is 12 meters from the ground when it leaves Johnny's hand.) The ball will strike the ground The ball is seconds after it is thrown.