Michael and john are creating patterns. each patterns starts at 1. michael uses the rule multiply by 2 and then subtract 1. john uses the rule multiply by 5, and then subtract 3. plot the ordered pairs that are created from the first three terms of the sequences.

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

Logan wants to know how many skateboards have defective parts. he inspects 20,000 skateboards and keeps track of the number of defects per board. use his probability distribution table to find the expected value for defects on a skateboard.

Which of the following would be a good name for the function that takes the weight of a box and returns the energy needed to lift it?