Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (let |a| = 24 lb and |b| = 18 lb. round your answers to one decimal place.)

magnitude 33.5 correct: your answer is correct. lb
angle 13.8 correct: your answer is correct. °

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

The boiling point of water at an elevation of 0 feet is 212 degrees fahrenheit (°f). for every 1,000 feet of increase in elevation, the boiling point of water decreases by about 2°f. which of the following represents this relationship if b is the boiling point of water at an elevation of e thousand feet? a) e = 2b - 212 b) b = 2e - 212 c) e = -2b + 212 d) b = -2e + 212

Which of the following pair(s) of circles have las a common external tangent? select all that apply. a and b a and c b and c