A rectangular box is to have a square base and a volume of 72 ft3. If the material for the base costs $0.41/ft2, the material for the sides costs $0.12/ft2, and the material for the top costs $0.23/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.)

What is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4

In the following diagram it is given that dec,ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2

Complete the solution of the equation. find the value of y when x equals to 6 4x+y=20