A rectangular piece of cardboard measures 12 inches by 40 inches. Squares are cut out of the corners and the sides are folded up to create an open-top box. Write a polynomial function to model the volume of the box. What is the maximum length of the cut that will produce the maximum volume? What is the maximum volume?

Given a(-12,5) and b(12,29) find the point that divides the line segment ab three-eighths of the way from a to b

Hye ryung is the president of the local chapter of the american medical students association (amsa). she is organizing local outreach and informational meetings. at her first meeting there are five people present (including herself). every month after that her group grows by 5 people. a. how many members are in the group after 6 months? b. the logistics of hosting and feeding her group at meetings was more complicated than expected. the cost of feeding 5 people at her first meeting was $30, for 10 people it was $35, for 15 it was $45, and after 6 months all of the costs had added up to $100. write a function to model the cost with the number of people attending meetings. c. what connections can you make between the linear growth of the group’s membership and the increasing costs of running meetings?

Pyramid shown has a square base that is 18 inches on each side has a surface area of 164 square inches what is the slant height