Problem 1: Consider the following Boolean expression. Q = A (~B) + B.(~A) What are the Boolean expressions that are similar to the above expression. Select all that apply. 1. Q = A.B 2. Q = AⓇB 3.Q=(-A) (~B) 4. Q = A + B 5. Q = 1
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- 1. Determine if the expression: (!( a>=b) || !( a==c )) is True or False. Given the value of a is 2, b is 10 and c is -5. 2. Determine if the expression: ! (!(a>b) && ( a==c) || ( a>=b ) ) is True or False. Given the value of a is 2, b is 10 and c is -5. 3. Determine if the expression: !( b>c ) || ( c<5 ) is True or False. Given the value of b is 10 and c is -5.What is the explicit expression that represents how manyWrite an expression that obtains a random integer between 34 and 55. Write an expression that obtains a random integer between 0 and 999.
- Simulate the dice game of lucky sevens. The rules are: roll two dice if the sum equals 7, win $4 if the sum is not 7, lose $1 Write a program that asks the user how much they would like start the game with. The program should then: simulate the dice roll (using the random function) and show what was rolled show what the user’s funds are after each roll ask the user if they want to roll again if the user wants to roll again, repeat the three actions above if the user does not want to roll again give some response and end the game the final output should show if they won or lost money, and how many rolls they playedWrite an expression that obtains a random integer between 34 and 55. Write an expression that obtains a random integer between 0 and 999. Write an expression that obtains a random number between 5.5 and 55.5.The two roots of a quadratic equationax2 + bx + c = 0 can be obtained using the following formula:b2 - 4ac is called the discriminant of the quadratic equation. If it is positive, theequation has two real roots. If it is zero, the equation has one root. If it is negative,the equation has no real roots.Write a program that prompts the user to enter values for a, b, and c and displaysthe result based on the discriminant. If the discriminant is positive, display tworoots. If the discriminant is 0, display one root. Otherwise, display “The equationhas no real roots.”Note you can use Math.pow(x, 0.5) to compute √x. Here are some sampleruns: Enter a, b, c: 1.0 3 1 ↵EnterThe equation has two roots -0.381966 and -2.61803
- 1. By using the aid of flowchart(s), explain the difference between if selection and if.. else selection.An argument is expressed in English below. Rhys will go to the beach. If Rhys is excited; then Rhys will go to the beach. Rhys is excited. Variable names are assigned to each English phrase as follows: p: Rhys is excited •q: Rhys will go to the beach Is the argument valid? If valid, then indicate which rule is used for the argument. If invalid, then give truth assignments to the variables that prove the argument is invalid. Pick 4. Check NextWhen you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making periodic payments over a certain period of time. Of course, the lending company will charge interest on the loan. Every periodic payment consists of the interest on the loan and the payment toward the principal amount. To be specific, suppose that you borrow $1,000 at an interest rate of 7.2% per year and the payments are monthly. Suppose that your monthly payment is $25. Now, the interest is 7.2% per year and the payments are monthly, so the interest rate per month is 7.2/12 = 0.6%. The first months interest on $1,000 is 1000 0.006 = 6. Because the payment is $25 and the interest for the first month is $6, the payment toward the principal amount is 25 6 = 19. This means after making the first payment, the loan amount is 1,000 19 = 981. For the second payment, the interest is calculated on $981. So the interest for the second month is 981 0.006 = 5.886, that is, approximately $5.89. This implies that the payment toward the principal is 25 5.89 = 19.11 and the remaining balance after the second payment is 981 19.11 = 961.89. This process is repeated until the loan is paid. Write a program that accepts as input the loan amount, the interest rate per year, and the monthly payment. (Enter the interest rate as a percentage. For example, if the interest rate is 7.2% per year, then enter 7.2.) The program then outputs the number of months it would take to repay the loan. (Note that if the monthly payment is less than the first months interest, then after each payment, the loan amount will increase. In this case, the program must warn the borrower that the monthly payment is too low, and with this monthly payment, the loan amount could not be repaid.)
- Flowchart for this given task please and also please give a little explanation of how you did your flowchart, please. Task 2: Find the term of any linear sequence given by the rule Term = a * n + b, where a and b are integers specified by the user and n is a positive integer and print them in order (for example if the user inputs a=3, b=-4, the first few terms that should be printed are -1, 2, 5, 8, 11…). The user also will specify how many terms the program should print. In addition, the program should print the sum of terms found and a count of how many odd terms were found.The quadratic formula is used to solve a very specific type of equation, called aquadratic equation. These equations are usually written in the following form:ax2 + bx + c = 0The Quadratic Formula x = ( -b ± √( b^2 - 4ac ) ) / ( 2a ) Where a, b, and c are constants with a ≠ 0. (If a = 0, the equation is a linear equation.)The discriminant is the part of the formula in the square root. If the value of the discriminant is zero then the equation has a single real root. If the value of thediscriminant is positive then the equation has two real roots. If the value of thediscriminant is negative, then the equation has two complex roots.Write a program that finds the roots of the quadratic equation using the Quadratic Formula. Write a function named discriminant in the file, Disc.py, to calculate and return the discriminant of the formula. Let the main function call the discriminant function and then calculate the solution(s) of the equation. Do not calculate the solutions in the discriminant…In CORAL LANGUAGE please and thank you! Summary: Given integer values for red, green, and blue, subtract the gray from each value. Computers represent color by combining the sub-colors red, green, and blue (rgb). Each sub-color's value can range from 0 to 255. Thus (255, 0, 0) is bright red, (130, 0, 130) is a medium purple, (0, 0, 0) is black, (255, 255, 255) is white, and (40, 40, 40) is a dark gray. (130, 50, 130) is a faded purple, due to the (50, 50, 50) gray part. (In other words, equal amounts of red, green, blue yield gray). Given values for red, green, and blue, remove the gray part. Ex: If the input is: 130 50 130 the output is: 80 0 80 Hint: Find the smallest value, and then subtract it from all three values, thus removing the gray.