b. \( \frac{5 \cdot|x-4|}{2}=7+2 \cdot \sqrt{\frac{9}{4}} \)

Consider the following position functions \( r \) and \( R \) for two objects. a. Find the interval \( [c, d] \) over which the \( R \) trajectory is the same as the \( r \) trajectory over \( [a, b] \) b. Find the velocity of both objects. c. Graph the speed of the two objects over the intervals \( [a, b] \) and \( [c, d] \) respectively. For graphing, lot \( c=1 \) and \( d=20 \). \( r(t)=\left\langle 4+t^{2}, 4-4 t^{4}, 3+3 t^{4}\right\rangle,[a, b]=[0,5] \) \( R(t)=\left\langle 4+\ln t, 4-4 \ln ^{2} t, 3+3 \ln ^{2} 1\right\rangle \), on \( [c, d] \) a. The interval is \( \square \) (Simplify your answers.)

fectos cuando la velocidad ación: \( d=2(15)^{2}+50 * 15-200 \)

Question Drought has affected the area for weeks. On the last day there was rain, the river had a depth of 12 feet. After 16 days rain, the depth is now 10 feet. What is the \( y \)-intercept in this situation? Do not include units in your answer.

4. En el siguiente sistema de restricciones \( x+2 y \leq 500 \) \( 2 x+y \leq 400 \) \( y \leq 225 \) Uno de los puntos de corte que se ubica en los limites del espacio solución es

What type of data represents a category?