A particle moves along the curve (square root 5x+1 ) + (square root y) = 5. When the particle reaches the point (3,1) it’s x- coordinate is decreasing at a rate of 2cm/sec. how fast is the y-coordinate changing at that instant?

Someone this asap for a group of students attends a basketball game. * the group buys x hot dogs at the concession stand for $2 each. * the group buys y drinks at the concession stand for $3 each. the group buys 29 items at the concession stand for a total of $70. how many hot dogs did the group buy?

Express the following as a function of a single angle. cos(60) cos(-20) - sin(60) sin(-20)

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters