Solve the following system of equations by using either substitution or elimination.

x + 2y + 7z = 54.35

5x -3y + 2z = 46.6

12x -24y –z = -40.95

Agymnast dismounts off the uneven bars in a tuck position with a radius of 0.3m (assume she is a solid sphere) and an angular velocity of 2rev/s. during the dismount she stretches out into the straight position, with a length of 1.5m, (assume she is a uniform rod through the center) for her landing. the gymnast has a mass of 50kg. what is her angular velocity in the straight position?

Abug is 12 cm from the center of a turntable that is rotating with a frequency of 45 rev/min . what minimum coefficient friction is required so that the bug stays on the turntable?

What is relative velocity? in which condition is relative velocity known by adding the velocity of the first body and that of the second body