Decide whether the two events are disjoint and tell why or why not:
• randomly choosing a scarf that is blue
• randomly choosing a scarf that is frayed

A: Not disjoint, because the events cannot occur at the same time.

B: Disjoint, because the events cannot occur at the same time.

C: Disjoint, because the events can occur at the same time.

D: Not disjoint, because the events can occur at the same time.

Initially 100 milligrams of a radioactive substance was present. after 6 hours the mass had decreased by 4%. if the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. (round your answer to one decimal place.)

Identify a1 and r for the geometric sequence an= -256(-1/4) n-1

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