4. Express each of these statements using quantifiers. Then form the negation of the statement, so that no negation is to the left of a quantifier. Next, express the negation in simple English. (Do not simply use the phrase "It is not the case that.") a) No student wants the question paper to become difficult b) Some apples are not tasty c) There is no one in this class who knows Chinese and Russian. [12] d) There exists some persons who doesn't know both Java and python properly
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- Let ? be the statement “it snows” and ? be the statement “it is below 32 degrees.” Write the following argument in argument form (i.e., using propositions and logical operators). - “It snows when the temperature is below 32 degrees. It is not snowing. Therefore, it is not below 32 degrees.”Let s1 be " Welcome " and s2 be " welcome ". Write the code for the following statements: (a) Check whether s1 is equal to s2 and assign the result to a Boolean variable isEqual.Let s1 be " Welcome " and s2 be " welcome ". Write the code for the following statements:a. Check whether s1 is equal to s2 and assign the result to a Boolean variable isEqual.b. Check whether s1 is equal to s2, ignoring case, and assign the result to a Boolean variable isEqual.c. Compare s1 with s2 and assign the result to an int variable x.d. Compare s1 with s2, ignoring case, and assign the result to an int variable x.e. Check whether s1 has the prefix AAA and assign the result to a Boolean variable b.f. Check whether s1 has the suffix AAA and assign the result to a Boolean variable b.g. Assign the length of s1 to an int variable x.h. Assign the first character of s1 to a char variable x.i. Create a new string s3 that combines s1 with s2.j. Create a substring of s1 starting from index 1.k. Create a substring of s1 from index 1 to index 4.l. Create a new string s3 that converts s1 to lowercase.m. Create a new string s3 that converts s1 to uppercase.n. Create a new string s3 that…
- Write TRUE if the statement is true, otherwise, write FALSE.5. The negation of (P ∧ Q) =⇒ (P ∨ Q) is a contradiction.Correct answer will be upvoted else downvoted. Computer science. You are given a positive integer x. Check whether the number x is representable as the amount of the solid shapes of two positive integers. Officially, you really want to check in case there are two integers an and b (1≤a,b) to such an extent that a3+b3=x. For instance, in the event that x=35, the numbers a=2 and b=3 are reasonable (23+33=8+27=35). In the event that x=4, no pair of numbers an and b is reasonable. Input The primary line contains one integer t (1≤t≤100) — the number of experiments. Then, at that point, t experiments follow. Each experiment contains one integer x (1≤x≤1012). Kindly note, that the input for some experiments will not squeeze into 32-cycle integer type, so you should use something like 64-bit integer type in your programming language. Output For each experiment, output on a different line: "Indeed" in case x is representable as the amount of the 3D shapes of two…ind the error(s) in each of the following and explain how to correct it (them):a) Assume the following prototype is declared in class Time:void ~Time( int );
- Let p, q, and r represent the following statements: p: The first ball is red. q: The second ball is white. r: The third ball is blue. Which would be the correct English statement for the symbolic form (¬¬p ∧∧ q) →→ r ? Group of answer choices A .If the first ball is red or the second ball is white, then the third ball is blue. B. If the first ball is not red or the second ball is white, then the third ball is blue. C .If the first ball is not red and the second ball is white, then the third ball is blue. D. If the first ball is red and the second ball is white, then the third ball is blue.(De Morgan’s Laws) In this chapter, we discussed the logical operators &&, ||, and !. DeMorgan’s Laws can sometimes make it more convenient for us to express a logical expression. Theselaws state that the expression !(condition1 && condition2) is logically equivalent to the expression(!condition1 || !condition2). Also, the expression !(condition1 || condition2) is logically equivalentto the expression (!condition1 && !condition2). Use De Morgan’s Laws to write equivalent expressions for each of the following, and then write a program to show that both the original expressionand the new expression in each case are equivalent.a) !(x < 5) && !(y >= 7)b) !(a == b) || !(g != 5)c) !((x <= 8) && (y > 4))d) !((i > 4) || (j <= 6))Write program in C++ Language The other solutions on chegg were incorrect! Please read carefully! Write a program that defines and tests a class called COP3014. The class resembles aclassroom. It has the following grading scheme:3 quizzes 20 points each 20%Mid term 100 points 30%Final 100 points 50%Based on the total grade of any student for the course, the letter grade of each student can becomputed as follows:Any grade of 90 or more is an A, any grade of 80 or more (but less than 90) is a B, any grade of70 or more (but less than 80) is a C, any grade of 60 or more (but less than 70) is a D, and anygrade below 60 is an F.This class needs to have some member variables. The first name, last name, the Z-number, thegrades, the total grade and final letter grade are all considered to be private member variablesof this class.The class should also have the following public member functions/procedural attributes that canbring the objects (students of the class) to life and give them some…
- 1. Let p, q, and r be the statementsp: I finish my assignment before 2:00 pm todayq: I go to the gym todayr: It is raining today (a) Invent a compound statement that uses all three of the proposi-tions p, q, and r as well as whatever logical connectives you choose. (b) Write an English sentence that corresponds to the statement youconstructed in (a). (c) Make a truth table for the statement you constructed in (a).Let A, B, and C, and D be the following statements:A The villain is French.B The hero is American.C The heroine is British.D The movie is good.Translate the following compound statements into symbolic notation.a. The hero is American and the movie is good.b. Athough the villain is French, the movie is good.c. If the movie is good, then either the hero is American or the heroine is British.d. The hero is not American, but the villain is French.e. A British heroine is a necessary condition for the movie to be good.Part 2 - OddOrEven ClassIn bluej. Write a program that prompts the user to enter an integer. The program should display “The input is odd" to the screen if the input is odd and displays “The input is even" to the screen if the input is even. Hint: Consider using the mod (%) operator.