Find the first three examples of an odd number x>0 and an even number y>0 such that x − y = 7.
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Find the first three examples of an odd number x>0 and an even number y>0 such that x − y = 7.
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- Ex: Let A1 ={x, y}, A2 ={1, 2}, and A3 ={a, b}, Find A1 × A2, (A1 × A2) × A3, A1 × A2 × A3.I am what you call a perfectionist. I always strive for perfection, and I appreciate everyone and everything that is perfect. That is why I have recently acquired an appreciation for perfect numbers! I absolutely need to know which numbers from 1 to 1000 are considered perfect. From what I recall, a perfect number is a positive integer that is equal to the sum of all its divisors other than itself. Example: 6 is a perfect number because the divisors of 6 other than itself are 1, 2, and 3, and 1 + 2 + 3 = 6. c++ codeCan help me with the answer.
- Python answer only. Correct answer will upvoted else downvoted. It is the ideal opportunity for your very first race in the game against Ronnie. To make the race intriguing, you have wagered a dollars and Ronnie has wagered b dollars. Yet, the fans appear to be frustrated. The fervor of the fans is given by gcd(a,b), where gcd(x,y) means the best normal divisor (GCD) of integers x and y. To make the race seriously invigorating, you can perform two kinds of activities: Increment both an and b by 1. Diminishing both an and b by 1. This activity must be performed if both an and b are more noteworthy than 0. In one action, you can play out any of these activities. You can perform self-assertive (potentially zero) number of moves. Decide the greatest energy the fans can get and the base number of moves needed to accomplish it. Note that gcd(x,0)=x for any x≥0. Input The principal line of input contains a solitary integer t (1≤t≤5⋅103) — the number of experiments.…Interest on a credit card’s unpaid balance is calculated using the average daily balance. Suppose that netBalance is the balance shown in the bill, payment is the payment made, d1 is the number of days in the billing cycle, and d2 is the number of days payment is made before billing cycle. Then, the average daily balance is: averageDailyBalance =netBalance x d1-payment x d2d1 If the interest rate per month is, say, 0.0152, then the interest on the unpaid balance is: Interest= averageDailyBalance * 0.0152 Write a program using c++ compiler that accepts as inputnetBalance, payment, d1,d2, and interest rate per month. The program outputs the interest. Format your output to two decimal places.Q10: Using (ode45, ode23, or ode15s), solve the below dynamic electrical system differential equation. 1. The charge Q(t) on the capacitor in the electrical circuit shown satisfies the differential equation where d²Q dQ 1 +R- + √ √e dt2 dt L = 0.5 R = 6.0 C= 0.02 and V(t) is the applied voltage. V(t) = V(t), henrys is the coil's inductance ohms is the resistor's resistance farads is the capacitor's capacitance ellee (i) Is the circuit oscillatory? (ii) If V(t) = 24 sin(10r) volts and Q(0) = 0 = Q'(0), find Q(t). (iii) Sketch the transient solution, the steady state solution, and the full solution Q(t).
- A decreasing sequence of numbers is a sequence of integers where every integer in the sequence is smaller than all other previous integers in that sequence. For example, •35, 16, 7, 2, 0, -3, -9 is a decreasing sequence of numbers. The length of this sequence is 7 (total numbers in the sequence) and the difference of this sequence is 35 - (-9) -44. • 5 is a decreasing sequence of numbers with length 1 and difference 5-5 = 0 •99,-99 is a decreasing sequence of numbers with length 2 and difference 99-(-99) = 198 •17, 23, 11, 8, -5, -3 is not a decreasing sequence of %3D numbers. Write a program that contains a main() function. The main function repeatedly asks the user to enter an integer if the previously entered integers form a decreasing sequence of numbers. This process stops as soon as the latest user input breaks the decreasing sequence. Then your function should print the length and difference of the decreasing sequence. Finally, call the main() function such that the call will be…Quadratic Root Solver For a general quadratic equation y = ax? + bx + c, the roots can be classified into three categories depending upon the value of the discriminant which is given by b2 - 4ac First, if the discriminant is equal to 0, there is only one real root. Then, if the discriminant is a positive value, there are two roots which are real and unequal. The roots can be computed as follows: -b+ Vb? – 4ac 2a Further, if the discriminant is a negative value, then there are two imaginary roots. In this case, the roots are given by b ь? - 4ас 2a 2a Programming tasks: A text file, coeff.txt has the following information: coeff.txt 3 4 4 4 1 4 Each line represents the values of a, b and c, for a quadratic equation. Write a program that read these coefficient values, calculate the roots of each quadratic equation, and display the results. Your program should perform the following tasks: • Check if the file is successfully opened before reading • Use loop to read the file from main…C Language From a list of bid bonds, find out whether the bonds can be equally divided between 2 people with same value. Output explanation: ➢ Sample 1 yes: sum 2,782,351,934, 1 st person: {10022120, 2343520822, 428808992}, 2nd person: {2779943396, 2408538} ➢ Sample 2 no, there’s no possibility to equally divide the bid bonds. Questions: a. Design your algorithm in a pseudocode! (PS: use dynamic programming algorithm) b. Do analysis for your algorithm resulting in an asymptotic notation! (PS: the bid bond value can be quite large in trillion (1012)) c. Prove that your algorithm is correct and create your own input / output for 4 cases, and minimum number of bid bonds for each case is 20!
- In the example below, the sum of the fourth powers of each digit that forms the 4-digit numbers gives the number itself: 1634 = 14 + 64 + 34 + 44 8208 = 84 + 24 + 04 + 84 9474 = 94 + 44 + 74 + 44 And sum of these numbers is 1634 + 8208 + 9474 = 19316. Find the sum of all numbers that can be written as the sum of the fifth forces of their numbers. (P.s.: You have to done it by C++)If A = {1, 2, 6} and B = {2, 3, 5}, then the union of A and B isGiven L = {w = {a, b}*: |w| is even}, the correct statements are: (aa U ab Uba U bb)* is a regular expression that generates L. (ab Uba)* is a regular expression that generates L. aa U ab U ba U bb is a regular expression that generates L. ab U ba is a regular expression that generates L.