A circle has a radius of 63 millimeters. What is the length of the arc intercepted by a central angle that measures 40°?

34.64 mm

21.98 mm

43.98 mm

395.84 mm

What is x and y (use substitution? ) 5x+3y=38 and y=3x+8?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

If f(x) = 3x2 - 2x+4 and g(x) = 5x + 6x - 8, find (f-g)(x).