An artist creates an abstract sculpture that appears as a box perched on top of a post. The box is in the shape of a cube with edges measuring 5 inches each. It is placed on top of a post in the shape of a rectangular prism with a length of 3 inches, a width of 4 inches, and a height of 18 inches.
The volume of the entire sculpture (box and post) is

Abouncy ball is released from a certain height. on the first bounce, it travels 32cm. with each subsequent bounce, it travels 9/10 the distance of the previous bounce. what is the total distance that the ball has traveled when it completes its 25th bounce?

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 9 + 12x + 4x^2