If the polar bear were taken out of the food chain what would happen to the seal population the seal population would diminish the seal population would grow dramatically the seal population would stay the same the seal population would decrease slightly

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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Ingrid started speaking about her slide presentation. when she clicked to th"third slide, which had just a picture of an elephant, she forgot what she wassupposed to talk about. what could ingrid do to avoid this situation in thefuture? oa. print handouts for her audience.ob. add presenter's notes to each slide.oc. add a video to each slide.od. save her slide presentation to a flash drive