The quarter-circular slotted arm oa is rotating about a horizontal axis through point o with a constant counterclockwise angular velocity ω = 7 rad/sec. the 0.1-lb particle p is epoxied to the arm at the position β = 60°. determine the tangential force f parallel to the slot which the epoxy must support so that the particle does not move along the slot. the value of r = 1.4 ft.

If a(0,0,0) and b(2,2,2) are points in coordinate space, how many paths are there from a to b that move from one lattice point to another in the positive x-,y- or z- direction?

The sat and act tests use very different grading scales. the sat math scores follow a normal distribution with mean 518 and standard deviation of 118. the act math scores follow a normal distribution with mean 20.7 and standard deviation of 5. suppose regan scores a 754 on the math portion of the sat. how much would her sister veronica need to score on the math portion of the act to meet or beat regan's score?

Satchi found a used bookstore that sells pre-owned dvds and cds. dvds cost $9 each, and cds cost $7 each. satchi can spend no more than $45.