5. En nuestro planeta, la superficie ocupada por los océanos es aproximadamente \( 3,6 \times 10^{14} \mathrm{~m}^{2} \) y su profundidad es \( 3,7 \times 10^{3} \mathrm{~m} \). Volumen \( = \) área superficie \( \times \) altura. ¿Cuál de las siguientes expresiones representa el volumen aproximado, en \( \mathrm{m}^{3} \), de agua oceánica en el planeta? A. \( (3,6 \times 3,7) \times 10^{42} \) B. \( (3,6 \times 3,7) \times 10^{11} \) C. \( (3,6 \times 3,7) \times 10^{17} \) D. \( (3,6 \times 3,7) \times 10^{4.6} \)

The postal service of a country charges \( \$ 0.36 \) postage for a letter weighing up to 1 ounce, plus \( \$ 0.26 \) for each additional ounce up to 5 ounces. Letters weighing more than 5 ounces do not qualify for these rates. \( C(x)=\left\{\begin{array}{ll}\$ \square & \text { if } 0<x \leq 1 \\ \text { (a) Write a piecewise-defined function } C \text { for the postage charged for a letter weighing } x \text { ounces. } \\ \$ \square & \text { if } 3<x \leq 4 \\ \$ \square & \text { if } 4<x \leq 5\end{array}\right. \)

\( \frac{2}{5\times 8}+\frac{2}{8\times 11}+\frac{2}{11\times 14}+...+\frac{2}{29\times 32} \)

Calcula las siguientes potencias: \( \begin{array}{ll}\text { a) } 3^{-4}=\frac{\square}{\square} & \text { b) }(3 / 4)^{-2}=\frac{\square}{\square}\end{array} \)

A 25 -year old woman burns \( 350-70 t \) cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is \( 135 t \) calories during the \( t \) th hour. What is her net decrease in calories after walking for 4 hours?

Consider the number pattern below: \[ \frac{-3}{5} ; \frac{-6}{9} ; \frac{-9}{13} ; \ldots . \ldots \] Determine the next two terms of the number pattern. Determine the \( n^{\text {th }} \) term of the number pattern.