The temperature of a cooling liquid over time can be modeled by the exponential function t(x) = 60(1/2)^(x/30) + 20, where t(x) is the temperature in degrees celsius, and x is the elapsed time in minutes. graph the function and determine how long it takes for the temperature to reach 28°c. what was the initial temperature?

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

Aline passes through 3,7 and 6,9 what equation represents the line

Which set of side lengths form a right side? a) 3ft,6ft,5ft b)50 in,48in,14in c)53m,48m,24m d)8cm,17cm,14cm