Find the exact area of the surface obtained by rotating the given curve about the x-axis. x = t3, y = t2, 0 ≤ t ≤ 1.

Polygon mnopq is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image m′n′o′p′q′. the coordinates of point m are (2, 4), and the coordinates of point n are (3, 5). the slope of is .

Simplify 15(x - 4)(x -1)-3(x + 4)(x - 1) with steps

Jake bakes and sell apple pies. he sells each pie for $5.75 . the materials to make the pies cost $40. the boxes jake puts the pies in cost & 12.50 total. how many pies does jake need to sell to earn a profit of $50