Convert the english sentences into propositional logic. in parts (), convert the propositions into english. in part (f), let p(a) represent the proposition that a is prime. (a) there is one and only one real solution to the equation x2 = 0. 3xvy((r2 = 0) a (v2 = 0) ==y=x (b) between any two distinct rational numbers, there is another rational number. (3x € eye (iz € (x2vx 1) == (32.b € n) ((a+b = 2x) p(a)ap(b))] if a natural number x is greater than 1, then there exist 2 natural numbers which are prime and the sum of those 2 numbers is equal to twice of x.

How do i simply this expression (quadratic formula basis) on a ti-84 or normal calculator?

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.

Aright triangle has an area of 21 m2. the dimensions of the triangle are increased by a scale factor of 4. what is the area of the new triangle