The half-life of a certain radioactive substance is 2.5 years.
(a) what is the value of the exponential decay constant, k? round your answer to 3 places after the decimal point, if necessary.
(b) if 190 grams is present initially, how much will be present in 4.3 years? round your answer to 3 places after the decimal point, if necessary.

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

Is appreciated! graph the functions and approximate an x-value in which the exponential function surpasses the polynomial function. f(x) = 4^xg(x) = 4x^2options: x = -1x = 0x = 1x = 2

Two variables, x and y, vary inversely, and x=12 when y=4. what is the value of y when x=3?