You are at the Grand Canyon, standing at the edge of a ledge 1,857 m high. You have a mass of 61 kg. You decide to take a selfie to share with your science teacher when you get home which causes you to wonder... a. How much gravitational potential energy do you have standing at the edge of this cliff? 1,110,114,6 J
b. If you were to trip and fall mid-selfie, your stored potential energy would be converted to kinetic energy, as you are in motion. Assume that all of the GPE you calculated in part A would be converted to kinetic energy when you fall. If so, how fast would you be falling?

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answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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