Makena, who works for Costco's corporate office, is helping to construct an open top box from a 14 by 30-inch piece of cardboard. To do this, Makena is going to cut out squares from the four corners so that the four sides can

be bent upwards. She is trying to create a rectangular box with the largest possible volume.

a.) Write the formula that you will be typing into Desmos (this should be the formula you are optimizing in terms ofone variable)

b.) What should be the dimension of the square cuts? remember your units!"

c.) What is the largest possible volume for the box? "remember your units!"

Which pair of angles are vertical angles? ∠1 and ∠4 ∠1 and ∠2 ∠2 and ∠4 ∠2 and ∠3

F(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions