A is a climate-controlled building or set of buildings that houses database servers and the systems that deliver mission-critical information and services.

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.

Using a conditional expression, write a statement that increments numusers if updatedirection is 1, otherwise decrements numusers. ex: if numusers is 8 and updatedirection is 1, numusers becomes 9; if updatedirection is 0, numusers becomes 7.

What did i do wrong with this const discord = require('discord.js'); var bot = new discord.client(); const token = 'ntm3mjcxmtu1mjg3ote2ntq2.dyogew.dpfiwfpuifzuzvifop-csuxasnm' const prefix = "! " bot.registry.registergroup('simple', 'simple'); bot.registry.registerdefaults(); bot.registry. + '/commands'); bot.on('message', message => { if(message.content == 'hi! ') { message.channel.send ('@everyone sup, how is @everyone day going'); } if(message.content == 'h3lp') { message.channel.send ('dose not have any commands yet'); } bot.on('ready', function() { console.log("ready") }); bot.login(token);