Astudent is asked to calculate the value of 353 using the identity (x + y)3 = x3 + 3x2y + 3xy2 + y3. the student's steps are shown below. step 1: 353 = (30 + 5)3; therefore, x = 30 and y = 5 step 2: = (x)3 + 3(x)2(y) + 3(x)(y2) + (y)3 step 3: = (27,000) + (a) + (b) + (125) step 4: = 42,875 in step 3, what are the values of a and b, respectively?

A)a square brown tarp has a square green patch green in the corner the side length of the tarp is (x + 8) and the side length of the patch is x what is the area of the brown part of the tarpb)a square red placemat has a gold square in the corner the side length of the gold square is (x - 2) inches with the width of the red region is 4 in what is the area of the red part of the placemat

Ashley spent half of her lunch money on a turkey sandwich. then she spent two-thirds of the money she had left on a bottle of juice and the rest of the money on a cookie. if the cookie cost $.75, how much lunch money did ashley have to start with?

Anew obstacle course is home to several new types of challenging obstacles. one such obstacle is traversing a 15-stair staircase. to make it more challenging, the stairs are not uniformly spaced. rather, the vertical space between consecutive stairs for the first 10 stairs is 113 feet and the vertical space for the last 5 stairs is 134 feet. what is the total vertical distance traveled ascending and descending the entire 15-stair staircase?