Write a program that accepts three decimal numbers as input and outputs their sum.

Show that there is a language a ⚆ {0, 1} â— with the following properties: 1. for all x â a, |x| ≤ 5. 2. no dfa with fewer than 9 states recognizes a. hint: you don’t have to define a explicitly; just show that it has to exist. count the number of languages satisfying (1) and the number of dfas satisfying (2), and argue that there aren’t enough dfas to recognize all those languages. to count the number of languages satisfying (1), think about writing down all the strings of length at most 5, and then to define such a language, you have to make a binary decision for each string about whether to include it in the language or not. how many ways are there to make these choices? to count the number of dfas satisfying (2), consider that a dfa behaves identically even if you rename all the states, so you can assume without loss of generality that any dfa with k states has the state set {q1, q2, . . , qk}. now think about how to count how many ways there are to choose the other four parts of the dfa.

You are consulting for a beverage distributor who is interested in determining the benefits it could achieve from implementing new information systems. what will you advise as the first step?

John recently worked on a project about various programming languages. he learned that though procedural language programs are useful, they have disadvantages too. what is a disadvantage of programs written in procedural languages? a. programs do not represent data complexity. b. programs take more time to execute. c. programs are prone to security threats. d. programs do not interface with multiple platforms.