Aturntable rotates counterclockwise at 78 rpm. a speck of dust on the turntable is at an initial angular position of 0.45 radians at t = 0 seconds. what is the angular position of the speck at t = 8.8 seconds relative to a reference angular position of 0 radians (your answer should be between 0 and 2\piπ radians, round answer to one decimal)?

Displacement will be 11 revolution and 1.02π radian

Step-by-step explanation:

We have given that initial angular position = 0.45 radian

Angular speed

Time is given as t = 8.8 sec

So angular displacement in 8.8 sec

As he has already covered 0.45 radian

So total angular displacement = 0.45 + 71.8432 = 72.2932 radian

We know that 1 revolution = 2π = 2×3.14 = 6.28 radian

So 11 revolution = 11×6.28 = 69.08 radian

Left dispalcement = 72.2932 - 69.08 = 3.2132 radian = 1.02π radian

is should be y = 5x

step-by-step explanation:

correct me if im wrong

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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step-by-step explanation: