Let p (n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. the parts of this exercise outline a strong induction proof that p (n) is true for n ≥ 18. a) show statements p (18), p (19), p (20), and p (21) are true, completing the basis step of the proof. b) what is the inductive hypothesis of the proof? c) what do you need to prove in the inductive step? d) complete the inductive step for k ≥ 21. e) explain why these steps show that this statement is true whenever n ≥ 18.

Which system of linear inequalities is represented by the graph? !

Factor the polynomial by its greatest common monomial factor.

Aresearch study is studying the effects of a new drug for osteoporosis alzheimer's disease (ad) for women above the age of 65 years. a group of individuals with osteoporosis is randomized into two groups. one group is treated conventionally, and the second group is treated with the new medication. assessments are made at 3, 6, 12, 36, and 48 months. the conventionally treated group is assessed for ad using a serum blood test, and the treatment group is assessed for ad using a pet radiotracer that binds to beta-amyloid plaques. in comparing these 2 trial arms, the authors of the study may encounter which type of bias? a. selection bias on the risk of developing b. measurement bias c. confounding bias d. recall bias e. lead-time bias