Angie sells handmade bracelets at craft fairs. She bought 2 packs of charms. One pack has 150 small charms and 60 large charms. The other pack has the same ratio of small to large charms. The second pack has 50 small charms. How many large charms are in the second pack? large charms Submit

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

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.

Diketahui fungsi tujuan meminimumkan \( Z=x+5 y \) dengan pembatas-pembatas sebagai berikut \( x+y \leq 8 \) \( 2 x-3 y \leq 6 \) \( x \leq 5 \) \( y \geq 1 \) a. gambarkan daerah layak b. tentukan Z minimum

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?