Tina has to create a password of exactly 6 letters for the security of a software program file. how many passwords are possible, assuming that passwords are case-sensitive (upper and lower-case letters are treated as different letters) and no other symbols are allowed?

Arestaurant chef made 1 1/2 jars of pasta sauce. each serving of pasta requires 1/2 of a jar of sauce. how many servings of pasta will the chef be able to prepare using the sauce?

Proving the congruent supplements theorem

Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).