Hogwartium has a half life of 713 years. A sample of Hogwartium is initially 62,442 grams. How many grams are left after 500 years? Round to the nearest gram. (Exponential and Logistic Models)

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

It is given that the quadratic equation hx²-3x+k=0, where h and k are constants, has roots [tex] \beta \: and \: 2 \beta [/tex]express h in terms of k

Aquadrilateral has exactly one pair of parallel sides. which name best describes the figure?