Which of the follow where x and y are A) vy 3x such that B) xv, P(x,y) is O Only A is true O Only B is true O Both A and B are O Both A and B are
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- If the statements p and q are both true while statement r is false. which of the following has a false truth value?* a. If r then (p or q). b. Not (r and (not p or q)). c. (p or r) if and only if not q. d. If not (r and q) then p.Which of the following best characterizes the statements: A) If n is an odd integer, then n2 + 4n + 1 is an even integer B) If n is an integer that is evenly divisible by 3, then (n + 2)2 + 2n is an even integer 1.Only A is true 2.Only B is true 3.Both A and B are true 4.Both A and B are false4. Which of the following statements is NOT correct? (a) If LR is regular, then L is regular. ( b) If L is regular, then L is regular. (c) If L∗ is regular, then L is regular. ( d) If L is finite, then L is regular
- Consider the following statements: Which of the following statements are valid? If they are invalid, explain why. (4) a. volume = box (length, width, height); b. volume = box (length, 3.8, height); c. cout << box(num1, num3, num2) << endl; d. cout << box (length, width, 7.0) << endl; e. volume = box (length, num1, height); f. cout << box(6.2, , height) << endl; g. volume = box (length + width, height) h. volume = box (num1, num2 + num3) ;Make use of De Morgan’s Laws to write the given statement in an equivalent form. 6. It is not true that Bob failed the English proficiency test and he registered for a speech course.Which of the following statements below is self-contradiction? a. [(X→Y) ∧ X]→Yb. [(~X→Y) ∧ (~X ∧ ~Y)]→Yc. X → (X ∨ Y)d. X ∧ (~X ∧ Y) 28
- C++ Given int x = 13 and int y = 4 which of the following C++ statements is false? x / y evaluates to 3 x % y evaluates to 1 x / y evaluates to 3.25 NoneThe force of gravitational attraction, F, of two bodies is given by a formula in which a constant, G, is multiplied by the product of the two masses (m1 and m2). This is then divided by the square of the distance, d, between the two bodies. Assuming these variables are declared, and have proper initial values where necessary, which of the following C++ statements correctly expresses this formula? a. F = = G*m1*m2/d^2; b. F = G*m1*m2/d*d; c. F = G*m1*m2*(d*d); d. None of the aboveFor each of the following questions, write ONLY what is requested. a. Write a statement(s) that prompts for and reads in a temperature. b. Write a statement(s) that displays a 7 × 7 square of asterisks. c. State the rule for identifiers (the naming rule). d. Given that an int variable s has been initialized, write a statement(s) that declares a new variable andassign it the remainder of 9 times 8 less than s divided by 4. e. Write a statement(s) that initializes the variables named a, b, c and d to false, ''one'', 'y' and 87.9respectively
- Write the following compound statement in terms of the simple statements p, q, and r. "I go to office hours and ask questions, and my professor does not remember me." p: I go to office hours. q: I ask questions. r: My professor remembers me.For each of the following statements, determine whether they are true or false. If false, write their logical negation (distributing the ¬ across any expressions as necessary) and explain how this negation is true. In each of these, x and y are assumed to be integers. (a) (∀x)(∀y)((y > x) ⇒ (x = 0)) (b) (∃x)(∀y)((y > x) ⇒ (x = 0)) (c) (∀x)(∃y)((y > x) ⇒ (x = 0)) (d) (∀x)(((∀y)(y > x)) ⇒ (x = 0))Assume that a = 1, b = 2, c = 2. What is the value of each of the following Boolean expressions? A. (a > 1) OR (b = c) B. [(a + b) > c] AND (b < c) C. NOT (a = 1) D. NOT [(a = b) OR (B = C)] E. (a = 1) AND (b = 1) AND (c = 2) Please show the end result and please explain how you got it. I'm escpecially confused with D.