The base and sides of a container is made of wood panels. The container does not have a lid. The base and sides are rectangular. The width of the container is w cm . The length is four times the width. The volume
of the container is 784cm

Suppose you want to transform the graph of the function y=tan(x+pi/4)-1 into the graph of the function y=-tan(x+pi/2)+1 which transformations should you perform. a) reflect the graph of the first function across the x-axis, translate it pi/4 units to the left, and translate it 2 units up. b) reflect the graph of the first function across the x-axis, translate it pi/4 units to the right, and translate it 2 units up. c) reflect the graph of the first function across the line y = -1, translate it pi/4 units to the left, and translate it 2 units up. d) reflect the graph of the first function across the line y = -1, translate it pi/4 units to the right, and translate it 2 units up.

Which expression represents the series 1+5+25+125+625

Abag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. an experiment consists of drawing a marble, replacing it, and drawing another marble. the two draws are independent. a random variable assigns the number of blue marbles to each outcome. calculate the expected value of the random variable. a. 3/4 b. 1/3 c. 3/8 d. 2/3