Cutting speed, when applied to a grinding wheel, is called surface speed. What is the surface speed in ft/min of a 9-in-diameter grinding wheel revolving at 1,500 rpm? (Surface speed \( = \) circumference in feet \( \times \) rpm.)

Gegee die funksie \( f(x)=3^{-x} \). 6.1 Gee die vergelyking van \( g \) indien \( g \) die refleksie van \( f \) in die \( y \)-as is en wat 3 eenhede afwaarts geskuif word. B.2 Bereken die \( x \)-afsnit van \( g \).

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

Find the domain of the logarithmic function. \( f(x)=\log (2-x) \)

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

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?