This test: 35 point(s) Exam Question 24 of 35 possible This question: 1 point(s) possible Use the quotient rule to simplify. Assume that the variable represents a positive real number. \[ \sqrt[3]{\frac{x^{2}}{125}} \]

Vergelyk die volgende getalpatroon met die oorspronklike getalpatroon wat in VRAAG 3.1 hierbo gegee is: \[ 4 ; 28 ; 70 ; 130 ; \ldots \] 3.2.1 Beskryf, in woorde, hoe hierdie nuwe patroon gevorm is. 3.2.2 Bepaal die waarde van die \( 15^{\text {de }} \) term in hierdie patroon.

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?

Use propenties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1 . Where possible, evaluate logarithmic expressions. \( 7 \ln (x-4) \) - \( 3 \ln x \)

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. \( C(x)=\left\{\begin{array}{ll}\$ \square & \text { if } 0<x \leq 1 \\ \text { (a) Write a piecewise-defined function } C \text { for the postage charged for a letter weighing } x \text { ounces. } \\ \$ \square & \text { if } 3<x \leq 4 \\ \$ \square & \text { if } 4<x \leq 5\end{array}\right. \)

Determina il valore dell'espressione in notazione scientifica : \[ \left(1,2 \cdot 10^{3}-19 \cdot 10^{2}\right)^{2}:\left(0,07 \cdot 10^{3}\right) \cdot 0,03 \]