Sketch a continuous graph that satisfies the following set of conditions: f′(x) > 0 when x < −4 and x > 3,f′ (x) < 0 when −4 < x < 3 and f(1) = 5.

Atoy company is considering a cube or sphere-shaped container for packaging a new product. the height of the cube would equal the diameter of the sphere . compare the volume to surface area ratios of the containers. which packaging will be more efficient? for a sphere, sa =4πr²

Twenty points. suppose that one doll house uses the 1 inch scale, meaning that 1 inch on the doll house corresponds to 1/2 foot for life-sized objects. if the doll house is 108 inches wide, what is the width of the full-sized house that it's modeled after? in inches and feet

Find the measure of the angle indicated in bold