Let p = [9 15 -4 -7], y_1 (t) = [2e^3t + 6e^-t 3e^3t + 15e^-t], y_2 (t) = [-8e^3t + 2e^-t -12e^3t + 5e^-t]. a. show that y_1 (t) is a solution to the system y' = py by evaluating derivatives and the matrix product y'_1 (t) = [9 15 -4 -7] y_1 (t) enter your answers in terms of the variable t. [] = [] b. show that y_2 (t) is a solution to the system y' = py by evaluating derivatives and the matrix product y'_2 (t) = [9 15 -4 -7] y_2 (t) enter your answers in terms of the variable t. [] = []

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

Combine like terms to make a simpler expression 3z+z

40 points. given: two congruent angles ∠c and ∠r are supplementary. prove: ∠r and ∠c are both right angles. it doesn't have to be exactly 10 rows.statements reasons1. 1. 2. 2. 3. 3. 4. 4. 5. 5. 6. 6. 7. 7. 8. 8. 9. 9. 10. 10.