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- 5. (Algebra: solve 2 X 2 linear equations) You can use Cramer's rule to solve the following 2 X 2 system of linear equation: ax + by = e cx + dy = f ● x = ed - bf bc ad y = af - ec ad bc - Write a program that prompts the user to enter a, b, c, d, e, and f and display the result. If ad- bc is 0, report that The equation has no solution. Enter a, b, c, d, e, f: 9.0, 4.0, 3.0, -5.0, -6.0, -21.0 Enter x is -2.0 and y is 3.0 Enter a, b, c, d, e, f: 1.0, 2.0, 2.0, 4.0, 4.0, 5.0 Enter The equation has no solutionarrow_forward(python questions)arrow_forwardQ2) Write a program to read a group of numbers between 1 to 100, then find the sum of the even numbers that are divisible by 4 and the sum of the odd numbers that are divisible by 3.arrow_forward
- Net Salary Calculator (Toy Problem)Write a program whose major task is to calculate an individual’s Net Salary by getting the inputs of basic salary and benefits. Calculate the payee (i.e. Tax), NHIFDeductions, NSSFDeductions, gross salary, and net salary.arrow_forward("View all employees" function) If users click "View all employees" ( call program:view_employee.php), your program should(i) Retrieve all employees from TECH3740. EMPLOYEE table and list all employees in HTMLTABLE format(ii) If the salary is NULL, print it in red color.(iii) If Gender='M', print it in blue color. If Gender='F', print it in red color.(iv) Display the average salary of listed employees at the bottom of the employee table.(v) A statement "There are # employee(s) in the database." should be displayed above theemployee table, where # is the number of employees.arrow_forwardQ2) (Perfect Numbers) An integer number is said to be a perfect number if its factors, including 1 (but not the number itself), sum to the number. For example, 6 is a perfect number because 6 = 1 + 2 + 3. Write a function perfect that determines if parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1 and 1000. Print the factors of each perfect number to confirm that the number is indeed perfect. Challenge the power of your computer by testing numbers much larger than 1000.arrow_forward
- Problem 2: Multiple stages There are only two rest days in the Tour de France. You will now write a program to calculate the remaining distance before the rest day after each stage. Riders will rest after they finish the fifth stage.Your program will read five distances AS INTEGERS, one for each stage in order. After, you will read the total time of all five days. You will then print how many kilometres are left after each stage and the rider's average speed (in km/h) after all inputed stages, according to the example below.InputYou will read from the use the following (in order):• 5 distances one of each stage• The rider's total time across all stagesOutputEnd of first stage, {distance}km left until rest dayEnd of second stage, {distance}km left until rest dayEnd of third stage, {distance}km left until rest dayEnd of fourth stage, {distance}km left until rest day--REST--Average speed across the five days: {speed} km/hExample:Input Output…arrow_forward(Financial: credit card number validation) Credit card numbers follow certain pat- terns. A credit card number must have between 13 and 16 digits. It must start with: 4 for Visa cards 5 for Master cards 37 for American Express cards 6 for Discover cards In 1954, Hans Luhn of IBM proposed an algorithm for validating credit card numbers. The algorithm is useful to determine whether a card number is entered correctly or whether a credit card is scanned correctly by a scanner. Credit card numbers are generated following this validity check, commonly known as the Luhn check or the Mod 10 check, which can be described as follows (for illustra- tion, consider the card number 4388576018402626): 1. Double every second digit from right to left. If doubling of a digit results in a two-digit number, add up the two digits to get a single-digit number. 4388576018402626 → 2 * 2 = 4 → 2 * 2 = 4 → 4 * 2 = 8 → 1 * 2 = 2 6 * 2 = 12 (1+ 2 = 3) → 5 * 2 = 10 (1+ 0 = 1) → 8 * 2 = 16 (1 + 6 = 7) → 4 * 2 = 8arrow_forwardPlease use Visual Studios coding in Python. (Use Python 3 Version)arrow_forward
- please do not use javaarrow_forward11: series.cpp) Write a program that will add the terms of an infinite geometric series. The program should read the first term (a) and the common ratio (r) for the series. It should then compute the sum in two ways: by formula ( s= ), and by adding the individual terms until the answer agrees with the formula to 7 significant digits. Then print the formula answer, the answer found by adding thearrow_forwardQ3. (Dice Rolling) Write a program that simulates the rolling of two dice. The program should use rand to roll the first die and should use rand again to roll the second die. The sum of the two values should then be calculated. [Note: Each die can show an integer value from 1 to 6, so the sum of the two values will vary from 2 to 12, with 7 being the most frequent sum and 2 and 12 being the least frequent sums.] Figure 7.26 shows the 36 possible combinations of the two dice. Your program should roll the two dice 10,000 times. Use a one-dimensional array to tally the numbers of times each possible sum appears. Print the results in a tabular format. Also, determine if the totals are reasonable (i.e., there are six ways to roll a 7, so approximately one-sixth of all the rolls should be 7). 1 2 3 4 5 1 2 4 6 7 3 4 6 7 3 4 5 7 8 9 4 7 8 9 10 7 8 10 11 7 10 11 12 Row\Col 3.arrow_forward
- C++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage LearningC++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr