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

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?

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

8. \( [5-68 . c] \quad \) Write the explicit rule and determine the 100 th term for the given sequence. \( \quad 24,19,14, \ldots \)

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. \( 7 \ln (x-4) \) - \( 3 \ln x \)

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.