Find the length of the curve x equals startfraction y cubed over 42 endfraction plus startfraction 7 over 2 y endfraction on 3 less than or equals y less than or equals 5.

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

Yvaries directly as x. y =90 when x=6. find y when x=13

Acontainer full of water weighs 15.5 lbs. when ¼ of the water is poured out, the container now weighs 12 ½ lbs. how much does the container weigh when empty?