A shopper pushes a grocery cart with a force F of 55 N downward and to the right, as shown in the figure below. The angle the handle makes with the horizontal is 46°, and the cart is moved 12 m. Find the work W done, in joules (J). Do not round any intermediate computations, and round your answer to the nearest hundredth.

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Uestion 1(multiple choice worth 5 points) (05.02)alex wants to paint one side of his skateboard ramp with glow-in-the-dark paint, but he needs to know how much area he is painting. calculate the area of the isosceles trapezoid. isosceles trapezoid with top base 12 feet, bottom base of 18 feet, and height of 6 feet. 72 ft2 84 ft2 90 ft2 108 ft2

Use the second shift theorem to find the inverse laplace transform of (e^−3s) / (s^2 + 2s − 3)