If a force f⃗ acts on an object as that object moves through a displacement s⃗ , the work done by that force equals the scalar product of f⃗ and s⃗ : w=f⃗ ⋅s⃗ . a certain object moves through displacement s⃗ =(4.00m)i^+(5.00m)j^. as it moves it is acted on by force f⃗ , which has x-component fx = -12.0 n (1 n = 1 newton is the si unit of force). the work done by this force is 26.0 n⋅m = 26.0 j (1 j = 1 joule = 1 newton-meter is the si unit of work). find the y-component of f⃗ .

What is the slope of the line shown below?

One integer is 8 times another. if the product is 72, then find the integers

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