Given: (1) Let a truth table have 512 rows. Then, the number of atomic propositions in the table is 8. (2) Let the universe of discourse of x and y be the set of real numbers. Then, the negation of "ForEvery x ThereExists y (x < y)" is "ThereExists x ForEvery y (x > y)". Select one of the following choices: a. (1) is False and (2) is True. ○ b. (1) is True and (2) is False. c. (1) and (2) are True. ○ d. (1) and (2) are False.
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- Correct answer will be upvoted else downvoted. Computer science. You are provided a program with that comprises of n directions. At first a solitary variable x is doled out to 0. A while later, the guidelines are of two kinds: increment x by 1; decline x by 1. You are given m inquiries of the accompanying organization: question l r — what number of particular qualities is x appointed to if every one of the directions between the l-th one and the r-th one comprehensive are disregarded and the rest are executed without changing the request? Input The primary line contains a solitary integer t (1≤t≤1000) — the number of testcases. Then, at that point, the depiction of t testcases follows. The main line of each testcase contains two integers n and m (1≤n,m≤2⋅105) — the number of directions in the program and the number of questions. The second line of each testcase contains a program — a line of n characters: each character is either '+' or '- ' — addition and…Given A = {1,2,3} and B={u,v}, determine. a. A X B b. B X BLet P be “this book is a non-fiction book” and Q be “the ideas in the book is consistent with physical reality.” Consider a case where both P and Q are false (e.g. a fantasy novel and an unrealistic phenomenon in the novel) and see whether it makes sense that P→Q is true. [Give an example, i.e., the name of a book and a particular idea in that book] Explain why it is possible that P→Q is true yet Q is false. [Type your explanation]
- 5. Suppose X and Y are both TRUE, A and B are both FALSE, P and Q are unknown, which of the following can have the identifiable truth value? a. (P ∨ X) → B s. ( X ∧ Y) → P d. (P→X) ∧ Q f. (A ∨ P) ⇔ XQl: The Collatz conjecture function is defined for a positive integer m as follows. (COO1) g(m) = 3m+1 if m is odd = m/2 if m is even =1 if m=1 The repeated application of the Collatz conjecture function, as follows: g(n), g(g(n)), g(g(g(n))), ... e.g. If m=17, the sequence is 1. g(17) = 52 2. g(52) = 26 3. g(26) = 13 4. g(13) = 40 5. g(40) = 20 6. g(20) = 10 7. g(10) = 5 8. g(5) = 16 9. g(16) = 8 10. g(8) = 4 11. g(4) = 2 12. g(2) = 1 Thus if m=17, apply the function 12 times in order to reach m=1. Use Recursive Function.5. What if my movie marathon consists of exactly five distinct movies: two movies from one of the trilogies, 2 movies from a 2nd trilogy, and 1 movie from a 3rd. The movies can be watched in whatever order I choose and the same five movies watched in a different order constitute a different marathon. Now how many movie marathons are possible?
- Adt. If possitble, rethace the answe (10)/(21)+(1)/(9) Please give proper explanation and typed answer only.: Let Q(x, y) be the statement “Student x has been a contestant on quiz show y”.Express each of the following sentences in terms of Q(x, y), quantifiers, and logical connectives,where the domain for x consists of all students at your school and the domain for y consists of allquiz shows on television.1. There is a student at your school who has been a contestant on a television quiz show.2. No student at your school has ever been a contestant on a television quiz show.3. There is a student at your school who has been a contestant on Jeopardy and on Wheel ofFortune.4. Every television quiz show has had a student from your school as a contestant.5. At least two students from your school have been contestants on Jeopardy.Correct answer will be upvoted else Multiple Downvoted. Computer science. The j-th companion can be set before the I-th companion on the photograph if his square shape is lower and smaller than the square shape of the I-th companion. Officially, somewhere around one of the accompanying conditions should be satisfied: hj<hi and wj<wi (the two companions are standing or both are lying); wj<hi and hj<wi (one of the companions is standing and the other is lying). For instance, on the off chance that n=3, h=[3,5,3] and w=[4,4,3]: the main companion can be set before the second: w1<h2 and h1<w2 (one of the them is standing and the other one is lying); the third companion can be put before the second: h3<h2 and w3<w2 (the two companions are standing or both are lying). In different cases, the individual in the closer view will cover the individual behind the scenes. Help Polycarp for every I find any j, with the end goal that the j-th…
- Answer the following multiple choice questions: - If B represented the set of Boolean values true and false, then the set of Boolean functions B x B → B is... A) finite B) uncountably infinite C) countably infinite - The set of functions from {0,1} to N is... A) finite B) uncountably infinite C) countably infinite - The set of functions from N to {0,1} is... A) finite B) uncountably infinite C) countably infiniteIf p=T, q=unknown and r=F, what is p ∨ r ∧ q?Suppose you begin with one pair of newborn rabbits. At the end of the third month, and at the end of every month thereafter, they give birth to two pairs of rabbits. Each pair of offspring reproduces according to the same rule. Assume that none of the rabbits dic. Let fn be the number of pairs of rabbits at the end of month n, just after the new pairs have been born. We have f₁ = 1, f2 = 1, and f3 = 3. Which of the following is a recurrence relation for fn? Select one: O A. fn fn_1 + fn_3 O B. fn fn-1 +2fn_2 O C. fn fn-1 +2fn 3 O D. fn = fn-1 + fn_2 + fn_3