Mr. Specter design the layout for a factory. The roof of the factory has an elevation of 56.2 feet and the floor the lowest level has an elevation of -15.3 feet. A pulley is installed on an outer wall at an approximate elevation equal to 1/4 of the total height of the factory. The factory office floor is located 5.5 feet above the Poli what is the approximate elevation of the factory office floor?

Consider the integral: 4 0 16 − y2 − 16 − y2 4 1 x2 + y2 dz dx dy . (a) describe w. use the standard view of the x, y, and z axes. front half of a cone with a rounded top. full cone with a flat top. right half of a cone with a flat top. front half of a cone with a flat top. right half of a cone with a rounded top.

Erin bought christmas cards for $2 each to send to her family and friends. which variable is the dependent variable?

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)