The cost of fuel to propel a boat through the water (in dollars per hour) is proportional to the cube of the speed v. a certain ferry boat uses $100 worth of fuel per hour when cruising at 10 miles per hour. apart from fuel, the cost of running this ferry (labor, maintenance, and so on) is $3125 per hour. (a) find the proportionality constant for the cost of the fuel per hour. do not round your answer.

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297

Estimate the area under the curve f(x) = 16 - x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles. answer to the nearest integer.

Identify the initial amount a and the growth factor b in the exponential function. a(x)=680*4.3^x