Mathematics question(venn diagram) ; a final year maths student was given a project to identify which of 30 chemical substance contained the element iron, lead, and proporous in his project defence, he gave the following breakdown iron only (5), lead and phoporous (10), and the three elements (6), iron and lead (6), iron and proporous only (3). the number of substance that have only phoporous or only lead are equal assuming the elements are the only constituents; (a) how many substance have lead 0nly. (b) how many substance had at least two element

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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answer4 to the second power is 16

and 4 to the third power is 64,