A tournament is set up so that only one-fourth of the players are eliminated in every round. The number of players remaining, y, can be written as a function of the number of rounds, x, in the tournament, given the starting value of the number of players, a, like so: y=a(1−0.25)^x or y=a(0.75)^x. If Latavius is running the tournament and needs to determine the number of rounds before a certain number of players remain, he needs to rearrange the formula to be written so that x is in terms of y.

Which steps should Latavius follow to do that?

Match each step with the action that should be taken in that step.

Step 1

Step 2

Find the area of a parallelogram with the given vertices. p(-2, -5), q(9, -5), r(1, 5), s(12, 5)

Thanh and her crew are building a stage in the shape of a trapezoid for an upcoming festival. the lengths of the parallel sides of the trapezoid are 14 ft and 24 ft. the height of the trapezoid is 12 ft.what is the area of the stage? enter your answer in the box. ft²

Atechnician compares repair costs for two types of microwave ovens (type i and type ii). he believes that the repair cost for type i ovens is greater than the repair cost for type ii ovens. a sample of 6767 type i ovens has a mean repair cost of $79.79$⁢79.79. the population standard deviation for the repair of type i ovens is known to be $19.18$⁢19.18. a sample of 5555 type ii ovens has a mean repair cost of $75.24$⁢75.24. the population standard deviation for the repair of type ii ovens is known to be $21.40$⁢21.40. conduct a hypothesis test of the technician's claim at the 0.050.05 level of significance. let μ1μ1 be the true mean repair cost for type i ovens and μ2μ2 be the true mean repair cost for type ii ovens. step 2 of 4 : compute the value of the test statistic. round your answer to two decimal places.