For gym class, gracie keeps a record of how many miles she runs. for the first half of the semester she runs 23 miles, and her grand total at the end of the semester is 50 miles. write an equation to model this situation. a) 23 + x = 50 b) x - 23 = 50 c) 23 - x = 50 d) x - 50 = 23

What is the area of triangle abc if a = 8, b = 11, and c = 15?

To find the extreme values of a function f(x.y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x,y)=xy

When you flip a biased coin the probability of getting a tail is 0.6. how many times would you expect to get tails if you flip the coin 320 times?