Let p be "It is raining" and let q be “It is snowing". Translate each of the following logical expressions into English statements. ק V קר .1 2. р ла 3. -p → q 4. p + ¬q 5. -p
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- If ai s false, b is true, and c is true,find the truth value of the statement. a → (b → c) Select the truth value of a → (b → c) when a is false, b is true, and c is true.Choose the correct answer below. True or False?Write TRUE if the truth value of the statement is incorrect, otherwise write FALSE. Arctic Ocean is the largest ocean in the world if 33 is divisibly by 4 or Dogs can fly. I am richer than Bill Gates if the moon is made up of green cheese.Show the value of x after each of the following statements is performed:a) x = fabs(7.5);b) x = floor(7.5);c) x = fabs(0.0);d) x = ceil(0.0);e) x = fabs(-6.4);f) x = ceil(-6.4);g) x = ceil(-fabs(-8 + floor(-5.5)));
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- Q: The propositional variables b, v, and s represent the propositions: b: Alice rode her bike today. v: Alice overslept today. s: It is sunny today. Select the logical expression that represents the statement: “Alice rode her bike today only if it was sunny today and she did not oversleep.” b→(s→¬v) 2. b→(s∧¬v) 3. s∧(¬v→b) 4. (s∧¬v)→b Group of answer choices b→(s∧¬v) b→(s→¬v) s∧(¬v→b) (s∧¬v)→b 2); The following two statements are logically equivalent (p → q) ∧ (r → q) and (p ∧ r) → q Group of answer choices True False3. The formula for determining compound interest is: A represents the amount to earn; P is the principle that is initially invested; r is the interest rate earned; n is the number of times the interest is compounded; and t is the number of time periods for the investment. Write a program that prompts the user to enter P, r, n and t. The program should output the amount earned on the investment. 4. Look up the Pythagorean theorem if you are not already familiar with it. Use the following formula to solve for c in the formula: c = √a2 + b2. Use the proper functions from the cmath header file. Be sure to output the result.lWrite the following statement in symbolic form: If I will go to college then I will get a job, if and only if I will not go to college or I will not get a job. La-bel any simple statements used with variables. Then construct a truth table for it and indicate the answer column.
- 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.Open notes and open book. Suppose you have a certain amount of money in a savings account that earnscompound monthly interest, and you want to calculate the amount that you willhave after a specific number of months. The formula is as follows:f = p * (1 + i)^t• f is the future value of the account after the specified time period.• p is the present value of the account.• i is the monthly interest rate.• t is the number of months.Write a program that takes the account's present value, monthly interest rate,and the number of months that the money will be left in the account as threeinputs from the user. The program should pass these values to a function thatreturns the future value of the account after the specified number of months.the program should print the account's future value.2- Number of basic operations of the following statement is equal to : for ( int i = 0 ; i< = 1 ; ++i) System.out.println( "X+1"+"Y"); A- 5 B- 6 C- 7 D- None