The decision version of the knapsack problem is as follows: given a set of n items {1, 2, …, n}, where each item j has a value v(j) and a weight w(j), and two numbers v and w, can we find a subset x of {1, 2, …, n} such that σj∈x v(j) ≥ v and σj∈x w(j) ≤ w? prove formally that the knapsack problem is np-complete (you can use any known np-problem discussed in the class).

Answer: this depends on the amount required to pay off the individual's card as well as how large the minimum payments are.if the amount is significantly large and the minimum payments are significantly small, then it will take a longer time to pay off the credit card.if the amount is significantly small and the minimum payments are significantly large, then it will take less time to pay off the credit card.hence, it would be difficult to answer true or false to this statment.however, for the purpose of this statement, it is most likely assumed that regardless of the amount to pay off the credit card the minimum payments would be quite large.therefore, the better option would be to pick 'true' as your answer.hope this ! : )have a lovely day! < 3

By checking for voltage with a neon tester;

70.73 trillion driffrent cells

If your choices are the following: control + tabshift + tabcontrol + homeshift + homethen the correct answer would be control + home.