A number is said to be Harshad if it's exactly divisible by the sum of its digits. Create a function that determines whether a number is a Harshad or not. Examples isHarshad (75) → false // 7 + 5 = 12 // 75 is not exactly divisible by 12 isHarshad (171) → true // 1 + 7 + 1 = 9 // 9 exactly divides 171 isHarshad (481) → true isHarshad (89) → false isHarshad (516) → true isHarshad (200) → true
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- (Numerical) Heron’s formula for the area, A, of a triangle with sides of length a, b, and c is A=s(sa)(sb)(sc) where s=(a+b+c)2 Write, test, and execute a function that accepts the values of a, b, and c as parameters from a calling function, and then calculates the values of sand[s(sa)(sb)(sc)]. If this quantity is positive, the function calculates A. If the quantity is negative, a, b, and c do not form a triangle, and the function should set A=1. The value of A should be returned by the function.Write a function that asks the user for their birthday month and day and then the function should call a nested function to find out the person’s zodiac sign. Test your program with some user input. Aries: March 21 - April 19 Taurus: April 20 – May 20 Gemini: May 21- June 21 Cancer: June 22- July 22 Leo: July 23 – August 22 Virgo: August 23 – September 22 Libra: September 23 – October 23 Scorpio: October 24 – November 21 Sagittarius: November 22 – December 21 Capricorn: December 22 – January 19 Aquarius: January 20 – February 18 Pisces: February 19 – March 20An 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 named perfect that determines if parameter number is a perfect number or not. Use this perfect function in a program that determines and prints all the perfect numbers between 1 and 1000.Also print the factors of each perfect number to confirm that the number is indeed perfect.
- A positive integer’s proper divisor satisfies 3 conditions: 1.divides the positive integer with remainder zero 2 is less than the positive integer 3. is a positive integer .A positive integer is a serene number if and only if the sum of the number’s proper divisors equals the number. Write and test a function that returns true if its parameter is a serene number and false if its parameter is not. 6 is a serene number because 1 + 2 + 3 = 6. 28 is a serene number because 1 + 2 + 4 + 7 + 14 = 28 There are many more serene numbers.Toll roads have different fees at different times of the day and on weekends. Write a function CalcToll() that has three arguments: the current hour of time (int), whether the time is morning (bool), and whether the day is a weekend (bool). The function returns the correct toll fee (double), based on the chart below. Weekday Tolls Before 7:00 am ($1.15) 7:00 am to 9:59 am ($2.95) 10:00 am to 2:59 pm ($1.90) 3:00 pm to 7:59 pm ($3.95) Starting 8:00 pm ($1.40) Weekend Tolls Before 7:00 am ($1.05) 7:00 am to 7:59 pm ($2.15) Starting 8:00 pm ($1.10) Ex: The function calls below, with the given arguments, will return the following toll fees: CalcToll(8, true, false) returns 2.95CalcToll(1, false, false) returns 1.90CalcToll(3, false, true) returns 2.15CalcToll(5, true, true) returns 1.05 need help with code in c++A natural number is prime if it is greater than 1 and has no divisors other than 1 and itself. Example: 8 isn't a prime number, as you can divide it by 2 and 4 (we can't use divisors equal to 1 and 8 as the definition prohibits this). On the other hand, 7 is a prime number as we can't find any legal divisors for it. Your task is to write a function checking whether a number is prime or not. Please us phython language The function: is called IsPrime() takes one argument (the value to check) returns True if the argument is a prime number, and False otherwise. Hint: try to divide the argument by all subsequent values (starting from 2) and check the remainder - if it's zero, your number cannot be a prime; think carefully about when you should stop the process. If you need to know the square root of any value you can utilize the ** operator. Remember: the square root of x is the same as x**0.5 Write a code that calculates all the prime numbers between 1 and 20. (Hint: Use a loop and…
- A natural number is prime if it is greater than 1 and has no divisors other than 1 and itself.Example: 8 isn't a prime number, as you can divide it by 2 and 4 (we can't use divisors equal to 1 and 8 as the definition prohibits this). On the other hand, 7 is a prime number as we can't find any legal divisors for it.Your task is to write a function checking whether a number is prime or not.The function:•is called IsPrime()•takes one argument (the value to check)•returns True if the argument is a prime number, and False otherwise.Hint: try to divide the argument by all subsequent values (starting from 2) and check the remainder - if it's zero, your number cannot be a prime; think carefully about when you should stop the process.If you need to know the square root of any value you can utilize the ** operator. Remember: the square root of x is the same as x**0.5Python programming question Write a code that calculates all the prime numbers between 1 and 20. (Hint: Use a loop and call the…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.Write a function rps in Python that returns the result of a game of "Rock,Paper, Scissors". The function accepts two arguments, each one of 'R','P','S' , that represents the symbol played by each of the two players. The function returns: -1 if the first player wins0 if a tie1 if the second player winsScissors beats Paper beats Rock beats Scissors Sample usage: >>> rps('R','P') # player 2 wins, return 11
- To translate a sentence into pig Latin, create a function. When a word is written in pig Latin, its first character is dropped, shifted to the word's tail, and the letters "ay" are added. For instance, "hello world" would be "ellohay orldway" in pig Latin. Your function can be written to assume that each word has at least two characters, is separated by a space, and is free of punctuation.Use Python for this question: Implement a function eligible that returns a list of the names of people that are eligible for vaccination, subject to a minimum age requirement. The function eligible must: accept two arguments: the minimum age for eligibility, a positive integer a multiline string, containing the people waiting to be vaccinated. Each line of the string contains a person's name and their age, separated by a single space. return a list of the people who are eligible to be vaccinated, i.e., those whose ages is at least that of the minimum age for eligibility. They should be listed in the order they occur in the input string Output for this question is in the attached pictureWrite a program that will:• Select a random number between 1 and 100.• Test if the number is prime• Call a function named isPrime(). Pass the number to be tested. isPrime() should test whetherthe number has any factors other than 1 and itself. isPrime() returns either True or False.• isPrime() should use a function isDivisible(x,y) to test if y divides evenly into x. That is,isDivisible() will identify whether y is a factor of x.• Print the result