Calculate the producers' surplus for the supply equation at the indicated unit price p.(Round your answer to the nearest cent.) p = 120 + q; p = 165

According to statistics a person will devote 32 years to sleeping and watching tv. the number of years sleeping will exceed the number of years watching tv by 18. over a lifetime, how many years will the person spend on each of these activities

Bradley and kelly are out flying kites at a park one afternoon. a model of bradley and kelly's kites are shown below on the coordinate plane as kites brad and kely, respectively: kites adbr and kely are shown on a coordinate plane. the vertices of adbr are a is at 9, 1; d is at 1, 5; b is at 9, 9; and r i which statement is correct about the two kites? (1 point) they are similar because segment br to segment db is 1: 2 and segment ke to segment yk 1: 2. they are not similar because segment br to segment db is 1: 5 and segment ke to segment yk is 1: 2. correct! they are not similar because segment br to segment db is 1: 2 and segment ke to segment yk is 1: 5. they are similar because segment br to segment db is 1: 5 and segment ke to segment yk is 1: 5.

Based on the situation in part a, the width of a rectangular garden is x feet, and its length is 5 feet more than twice its width. the right side of the equation, g(x) = 2x2 − 13x + 6, can be factored to g(x) = (2x − 1)(x − 6). this function could represent an inner region of the garden from the first equation, such as a vegetable garden with a border around it. the length of this inner garden would be 2x − 1 feet, and the width would be x − 6, which would leave a 3-foot border around the garden. part d what is the value of g(8) for the function g(x) in part c? what does this value mean in the context of the situation you described in part c?