The fine schedule for overdue books at the county library is modeled by the values in the table. Library Fines for Overdue Books Days overdue Amount of fine 0 0 ¢ 2 5 ¢ 4 10 ¢ 6 15 ¢ 8 20 ¢ 10 25 ¢ Which equation best models the fine schedule for overdue books?

F(x)=x^3+4 question 6 options: the parent function is shifted up 4 units the parent function is shifted down 4 units the parent function is shifted left 4 units the parent function is shifted right 4 units

What are the solutions of the system? solve by graphing. y = -x^2 -6x - 7 y = 2

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)