In a Point-of-Sale (POS) system that is commonly used in grocery or a department store checkout counter, identify the information needed, information to be processed, and the expected outcome of the system. Write your answer in the boxes on the next page. INPUT PROCESS OUTPUT ​

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.

Acloud service provider uses the internet to deliver a computing environment for developing, running, and managing software applications. which cloud service model does the provider offer? a. iaas b. caas c. maas d. paas e. saas

Acompany is hiring professionals for web designing. the firm is small with few resources. they want employees who possess problem-solving skills and can independently carry out responsibilities. which kind of employee should they select?