4.33 - (Perfect number) A positive integer is called a perfect number if it is equal to the sum of all of its positive divisors, excluding itself. For example, 6 is the first perfect number because 6 = 3 + 2 + 1. The next is 28 = 14 + 7 +4 + 2 +1. There %3D are four perfect numbers less than 10,000. Write a program to find all these four numbers.
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- python nMath: pentagonal numbers) A pentagonal number is defined as n(3n-1)/2 for n=1,2,..., and so on. So, the first few numbers are 1, 5, 12, 22, .... Write a function with the following header that returns a pentagonal number: def getPentagonalNumber(n): Write a test program that uses this function to display the first 100 pentagonal numbers with 10 numbers on each line.9: perfect.cpp) A number is called perfect if the sum of its divisors is equal to the original number. A number is called deficient if the sum of its divisors is less than the original number. A number is called abundant if the sum of its divisors is more than the original number. Write a program that answers the following questions: What numbers below 5000 are perfect? What odd numbers below 5000 are abundant? What are the relative proportions of deficient, abundant, and perfect numbers? 5000 should be in a global constant.***Microsoft Visual Studios (C++)*** Write a program that given two coordinate pairs and a third single coordinate will linearly interpolate or extrapolate the third second coordinate. For example, let's say at 50 degrees Celsius the length of a metal rod is 5.4 cm and at 60 degrees Celsius the length is 5.5cm. I can interpolate the length at 53 degrees Celsius by doing 5.4cm + 3*(.1/10)=5.43cm. Your program does not need to continuously run, but should prompt the user for two coordinate pairs, the third first coordinate and return the extrapolated or interpolated third second coordinate.
- #Solve it with C programing Mr. X is a student of Computer Science. He is facing a problem and needs your help to solve it.The problem is, you will be given N integer numbers( 4<n<=100) which are arranged side by side (x1,x2,x3,x4,.....).Now you have to sort those items in ascending order. After doing this , your job is to print the items in a sorted way and find the median.[NB: when N is odd , Median= (N+1)/2; When N is even Median= (N/2)+1 ] Sample Input: 74 7 11 2 9 3 5Sample Output:2 3 4 5 7 9 115Leap Year: The earth doesn't take exactly 365 days to revolve around the sun and because of this we have leap years roughly every 4 years to make up the difference. The exact rule is: • Years divisible by 4 are leap years • except if they are also divisible by 100 and then they are not leap years (so 1900 was not a leap year), • unless they are also divisible by 400 and then they ARE leap years (so 2000 was a leap year). Part 1) Write a function in Python that takes as input a number, the year, and determines if it is a leap year or not. The function should return True if it is a leap year and False otherwise. Part 2) Write a main function to test out your leap year function on a few different illustrative inputs.7. Write a function that evaluates the area of a pentagon. Use "math.pi", for pi, and "math.sqrt" for square root. Write the solution on the space provided below. You do not need to run the code. DII 3.2 (Geometry: area of a pentagon) Write a program that prompts the user to enter the length from the center of a pentagon to a vertex and computes the area of the pen- tagon, as shown in the following figure. 3√3 2 The formula for computing the area of a pentagon is Area -s², where s is TT the length of a side. The side can be computed using the formula s = 2r sin 5 = where r is the length from the center of a pentagon to a vertex. Here is a sample run:
- :Write some statements that display a list of integers from 10 to 20 inclusive ,each with its square root next to it. Write a single statement to find and display the sum of the successive even integers 2, 4, ..., 200. (Answer: 10 100) Ten students in a class write a test. The marks are out of 10. All the marks are entered in a MATLAB vector marks. Write a statement to find and display the average mark. Try it on the following marks: 580 10 3 85794 (Answer: 5.9)C++ ONLYTomorrow is the closing ceremony for the 2022 World Cup, and Cody and his friends want to know who the top scorer of the tournament is. John and the others insist that it Lionel Messi who is the top-scorer (scoring 10) but Cody, a Ronaldo fan, is stubborn and decided to make a list of all the players who scored goals and order them randomly. He then must look for the highest number and see if that number is higher than Messi’s goals. Input the number of players then input the number of goals scored for each. Print "Not Messi" if the highest goals exceed 10 and "Okay, fine, it's Messi" if it doesn’t.Enter·the·number·of·players:·4 Goals·score·by·player·#1:·7 Goals·score·by·player·#2:·2 Goals·score·by·player·#3:·5 Goals·score·by·player·#4:·1 Okay,·fine,·it's·Messi7. Write a function that evaluates the area of a pentagon. Use "math.pi", for pi, and "math.sqrt" for square root. Write the solution on the space provided below. You do not need to run the code. 311 3.2 (Geometry: area of a pentagon) Write a program that prompts the user to enter the length from the center of a pentagon to a vertex and computes the area of the pen- tagon, as shown in the following figure. The formula for computing the area of a pentagon is Area 3√3 2 -s², where s is TT the length of a side. The side can be computed using the formula s = 2r sin 5' where r is the length from the center of a pentagon to a vertex. Here is a sample run: Enter the length from the center to a vertex: 5.5 Enter The area of the pentagon is 108.61
- Arranging Pebbles Write a program that can arrange a group of pebbles into its designated position. We have 4 types of pebbles: Red, white, blue, and green colored pebbles. Supposed that we have an n-number of pebbles, the program should be able to check the color of the pebble and arrange them in such a way that it will look something like this: Example, if there are 9 pebbles; 1 green, 3 white, 2 blue, and 3 red, the program will output something like this: RRRWWWBBGArranging Pebbles Write a program that can arrange a group of pebbles into its designated position. We have 4 types of pebbles: Red, white, blue, and green colored pebbles. Supposed that we have an n-number of pebbles, the program should be able to check the color of the pebble and arrange them in such a way that it will look something like this: Example, if there are 9 pebbles; 1 green, 3 white, 2 blue, and 3 red, the program will output something like this: RRRWWWBBG NOTE: The program will let the user to enter the pebbles and then the program will automatically arrange it. Sample output 1: R=Red, W-White, B=Blue, G=Green Enter pebbles: rwgbrgwbrg Arranged pebbles: RRRWWBBGGG Sample output 2: R=Red, W-White, B=Blue, G=Green Enter pebbles: abcde Invalid input Notice that the arrangement of the pebbles is: Red, White, Blue, GreenThank you