Which of the following devices would most likely have a 4G connection Laptop
Mobile phone
Workstation
Server

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.

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Holly created a professional development plan to explore how she could advance from her entry-level position to the next step in her career. she has identified her current skills and the skills needed for the job she wants. what should she do now? a) ask a colleague for advice about work-life balance b) identify her areas for improvement c) plan a vacation before she begins her new job d) wait until a position opens before continuing her plan