Charlie has a $30 smoothie gift card. each time he uses the card to buy a smoothie 2 dollars is the duct tape from his card, if the balance on his car today is 12 dollars, how many smoothie has she purchase with the card?

Let x = a + bi and y = c + di and z = f + gi. which statements are true?

Which expression is a perfect cube? a. x8 b. y24 c. m28 d. x64

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).