Determine whether the events are independent. A bag contains 13 red and 6 green marbles. A marble is drawn, replaced in the bag, then a second marble is drawn. Are the events "first marble is red" and "second marble is green" independent events?

E área de un rectángulo mide 28 metros Cuadrados. El largo es de 7 metros. metros

Which compound has the highest mass percent \( S \) ?

\( \begin{array}{r}29, \text { a) Simplify } k^{\circ}+m^{\circ}+n^{\circ} \text { such that } k, m \text { and nis not } 0 \\ \hline 2\end{array} \)

3. Para acelerar un pequeño cohete desde el reposo hasta una velocidad de \( 200 \mathrm{~m} / \mathrm{s} \) se realiza un trabajo de 200 kilojulios. a) Determine la masa del cuerpo en Kg . b) Si se suministra al cohete un trabajo adicional de 80 Kj , determine su nueva velocidad en \( \mathrm{m} / \mathrm{s} \).

An industrial production process costs \( C(q) \) million dollars to produce \( q \) million units; these units then sell for \( R(q) \) million dollars. If \( C(2.1)=5.4, R(2.1)=6.6, M C(2.1)=0.7 \), and \( M R(2.1)=0.8 \), calculate the following. (a) The profit earned by producing 2.1 million units. The profit is i. (b) The approximate change in revenue if production increases from 2.1 to 2.13 million units. The change in revenue is about i (c) The approximate change in revenue if production decreases from 2.1 to 2.04 million units. The change in revenue is about i (d) The approximate change in profit in parts (b) and (c).