To properly align the shaft of a base-mounted pump to the shaft of its driver (usually an electric motor), very thin shims must be placed under the mounting feet. You must report the total thickness of the shims placed under each foot. Shims are provided in precise thicknesses, measured in thousandths of an inch. In this case, three shims were placed under one foot. One shim is marked 0.030", the second is marked as 0.015", and the third is marked as 0.007". What is the total thickness of the three shims? Your answer should be to the nearest thousandth of an inch.

Demonstrate the proof of your new polynomial identity through an algebraic proof and a numerical proof in an engaging way! make it so the whole world wants to purchase your polynomial identity and can't imagine living without it! you must: label and display your new polynomial identity prove that it is true through an algebraic proof, identifying each step demonstrate that your polynomial identity works on numerical relationships create your own using the columns below. see what happens when different binomials or trinomials are combined. square one factor from column a and add it to one factor from column b to develop your own identity. column a column b (x − y) (x2 + 2xy + y2) (x + y) (x2 − 2xy + y2) (y + x) (ax + b) (y − x) (cy + d)

The parabola x= √y-9 opens: a.)up b.)down c.)right d.)left

Subscriptions to a popular fashion magazine have gone down by a consistent percentage each year and can be modeled by the function y = 42,000(0.96)t. what does the value 42,000 represent in the function?