What is the mathematical statement of the following, using the following statements on the image? 3. "It is not true that it is raining and I am wearing my rubbers." a. ~P v ~Q b. ~P ^ ~Q c. P v Q
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What is the mathematical statement of the following, using the following statements on the image?
3. "It is not true that it is raining and I am wearing my rubbers."
a. ~P v ~Q
b. ~P ^ ~Q
c. P v Q
Step by step
Solved in 2 steps with 1 images
- C++ Programming Exercise: A real estate office handles, say, 50 apartment units. When the rent is, say, $600 per month, all the units are occupied. However, for each, say, $40 increase in rent, one unit becomes vacant. Moreover, each occupied unit requires an average of $27 per month for maintenance. How many units should be rented to maximize the profit? Write a program that prompts the user to enter: a. The total number of of units. b. The rent to occupy all the units. c. The increase in rent that results in a vacant unit. d. Amount to maintain a rented unit. The program then outputs the number of units to be rented to maximize the profit.Assume that A and B are known to be true, X, Y, and Z are known to be false, and that the truth values of P and Q are unknown. For each of the following statements, state whether it is true or false (you have sufficient information even with the unknowns). P ® A ~ (P Q) v P (P ® X) ® (~X ® ~P)A. Suppose that x and y are variable names that already refer to Boolean values.Write an expression (not a statement!) that evaluates to True iff at least oneof the variables is False.# TODO: Write your expression hereB. Suppose that x, y, and z are variable names that already refer to Boolean values.Write an expression (not a statement!) that evaluates to True iffat least two of the three variables (x, y, z) are True.# TODO: Write your expression here
- 2. Assume x, y and z are integer variables with x = 2, y = 5 and z = 10. Each expressionis independent. Determine the results of the following statements and show the step toevaluate them: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.1. What is the value of x after each of these statements is encountered in a computer program, if x = 2 before the statement is reached? a) if (x+1=3) OR (2x+2=3) then x:=x+1 b) if x<2 then x:=x+1
- C++ Programming Exercise: Ther are 50 apartment units. When the rent is $600 per month, all the units are occupied. However, for each, $40 increase in rent, one unit becomes vacant. Moreover, each occupied unit requires an average of $27 per month for maintenance. How many units should be rented to maximize the profit? Write a program that prompts the user to enter: a. The total number of of units. b. The rent to occupy all the units. c. The increase in rent that results in a vacant unit. d. Amount to maintain a rented unit. The program then outputs the number of units to be rented to maximize the profit.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))c++ programming b) Given x and y are int variables and z is a double variable. The initial value for x, y, andz are 4, 6, and 2.5. Show the working steps and result for the following expression:(i) x / (3 + y) + 11 % y(ii) x - y++ + z
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