5. A prime number is a number that is only evenly divisible by itself and 1. For example, the number 5 is prime because it can only be evenly divided by 1 and 5. The number 6, how- ever, is not prime because it can be divided evenly by 1, 2, 3, and 6. Write a Boolean function named is prime which takes an integer as an argument and returns true if the argument is a prime number, or false otherwise. Use the function in a program that prompts the user to enter a number then displays a message indicating whether the number is prime. 6. In another program, use the function you wrote in question 5 to print the prime numbers between 1 and 100 using for loop.

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

PYTHON Question 3: Rain or Shine Part 1: Alfonso will only wear a jacket outside if it is below 60 degrees or it is raining. Write a function that takes in the current temperature and a boolean value telling if it is raining and it should return True if Alfonso will wear a jacket and False otherwise.   Try solving this problem with a single line of code. def wears_jacket(temp, raining):     """     >>> wears_jacket(90, False)     False     >>> wears_jacket(40, False)     True     >>> wears_jacket(100, True)     True     """     *** YOUR CODE HERE *** Note that it should either return True or False based on a single condition, whose truthiness value will also be either True or False.   Part 2: Rewrite the above function with a lambda expression.

//Write a function that loops through and console.log's the numbers from 1 to 100, except multiples of three, log (without quotes) "VERY GOOD" instead of the number, for the multiples of five, log (without quotes) "SUPER AWESOME". For numbers which are multiples of both three and five, log (without quotes) "VERY GOOD SUPER AWESOME" Console log out:   12VERY GOOD4SUPER AWESOMEVERY GOOD78VERY GOODSUPER AWESOME11VERY GOOD1314VERY GOOD SUPER AWESOME1617VERY GOOD19SUPER AWESOMEVERY GOOD2223VERY GOODSUPER AWESOME26VERY GOOD2829VERY GOOD SUPER AWESOME

Ex. 8.4) The following functions are all intended to check whether a string contains any lowercase letters, but at least some of them are wrong. For each function, describe what the function actually does (assuming that the parameter is a string).

For each function, describe what it actually does when called with a string argument. If it does not correctly check for lowercase letters, give an example argument that produces incorrect results, and describe why the result is incorrect. # 1 def any_lowercase1(s):     for c in s:          if c.islower():               return True          else:               return False # 2 def any_lowercase2(s):     for c in s:          if 'c'.islower():               return 'True'          else:               return 'False' # 3 def any_lowercase3(s):     for c in s:          flag = c.islower()     return flag # 4 def any_lowercase4(s):     flag = False     for c in s:          flag = flag or c.islower()     return flag # 5 def any_lowercase5(s):     for c in s:          if not c.islower():               return False     return True The code and its output must be explained technically whenever asked. The explanation can be provided before or after the code, or in the form of code comments within…

From: How to Think Like a Computer Scientist: Learning with Python 3 -Chapter 6, Exercise 9 Write three functions that are the “inverses” of to_secs: (a) hours_in returns the whole integer number of hours represented by a total number of seconds. (b) minutes_in returns the whole integer number of left over minutes in a total number of seconds, once the hours have been taken out. (c) seconds_in returns the left over seconds represented by a total number of seconds.   My original  to_secs function: def to_secs(h, m, s): total = 0 total = total + h * 60 * 60 total = total + m * 60 total = total + s return total

You shouldn't date someone whose age is less than half your own age plus 7. Write a boolean-valued function can_date(age1, age2) that takes the ages of two people and return True if they can date. The ages are not in any particular order - the bigger one may be either first or last.

Write 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

A Circle and Two Squares Imagine a circle and two squares: a smaller and a bigger one. For the smaller one, the circle is a circumcircle and for the bigger one, an incircle. Create a function, that takes an integer (radius of the circle) and returns the difference of the areas of the two squares. Examples square_areas_difference (5) → 50