To motivate his agents, a sales manager promised to take his team to a weekend vacation if they can meet their monthly target of P72,000. The team has two products to sell: e-book A costs P360 per copy, while e-book B costs P240 per copy. How many copies of each e-book do the agents have to sell to meet their target? Find The linear inequalities in two variables?

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.

Selective incapacitation is a strategy to reduce prison population

Which law requires employers to provide safe working environments for their employees? a. civil rights act b. fair labor standards act c. occupational safety and health act d. wagner act