Local wildlife experts have begun to track the population of trout in their area. the function f represents the approximate population of trout in sky lake, and the function g represents the approximate population of trout in lake cyan, where t is the number of months since experts began tracking the populations. find the expression that describes the total trout population in the area after t months, f(t) + g(t).

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size.it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

See attachment below and find the equivalent of tan(∠qsr)

If you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. also what is the measure of angle 5 and why? you need to use the names of the angle relationship and explain.