PROBLEM 17. [TIME ALLOWED = 5 MINUTES] State whether “n is divisible by 9” is (a) necessary, (b) sufficient, or (c) neither necessary nor sufficient for “n is divisible by 6”, where n is a natural number.
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- Problem 1 Modify Problem 1.py by adding additional lines of code so that it solves the following problem: Determine whether a given number is even and part of the Fibonacci Sequence. The Fibonacci Sequence is as follows 0, 1, 1, 2, 3, 5, 8, 13... For more information about Fibonacci sequences Click here the sequence is comprised exclusively of positive integers. Hint 1: A positive number, n, is part of the Fibonacci sequence if either (5n^2 + 4) or (5n^2 - 4) is a perfect square. That is, if the square root of either (5n^2 + 4) or (5n^2 - 4) is a whole number, then n is a perfect square, and thus a Fibonacci number. Hint 2: Recall that multiple conditions can be checked in one statement. For example, if (condition 1) and (condition 2) and (condition 3): # do some action If a number is even, positive, and part of the Fibonacci sequence, your code should print "Yes". If any one of these conditions is not met, your code should print "No". If your input is number = 2 or 34 or 144, the…ODU2MTQ4/a/MjkwNjEwMTAyODU1/details Problem: 1 A company want to raise the salary of its employee. The raise rate is given as following: The raise rate is 20% of the salary if the employee have 15 years in work or more The raise rate is 10% of the salary if the employee have 7 years in work or more Otherwise, the raise rate is 5% of the salary. The new salary is computed by the formula: new salary=old salary x(1+ raise rate) Write a main program that prompts the user to enter n of employees then enter their salary and years in work of each of them. It displays the new salary for each employee and finally, it displays the average salaries of all employees after raising as shown in the following sample run. Sample run Enter the number of employees: 2 Enter the salary and the number of years of Employee 1: 1500 Enter the salary and the number of years of Employee 2. 800 16 8. The New Salary of Employee 1 is: 1800 The New Salary of Employee 2 is: 880 The average Salary of all employees is:…A) Shanon Code B) Shanon-Fano Code for the following Set of massages: [P(X)] =x*.s*04 02 021 X 2 хз х 4 X5 0.05 0.15 0.4 0.2 0.2 Find the code efficiency ?
- Computer Science c++ || urgent Write the code for choosing the list of items in order to get the maximum profit of fractional knapsack problem. [NOTE: number of input items should be user interest, and output should be like - firstly print the resulting profit table, and then print the all selected items (must not be all items from the inputted items - means that all inputted items should not be as the selected items) for the knapsack and then print the maximum profit.]PROBLEM 4. [TIME ALLOWED = 5 MINUTES] Give the negation of the following sentence: “It is hot today.”Problem 7 [Algorithms integers m and k such that n = m × 24, where m is the smallest integer. For any even integer n, it is always possible to find a pair of 1. Write an algorithm that finds a factorization of any even integer n as stated above. For instance, we have the following two factorizations: 48 = 3 × 24 instead of 48 = 12 × 22 52 = 13 x 22 instead of 52 = 26 × 2. 2. Analyze the time of your algorithm by computing the number of its multiplications. Show your work step by step. Otherwise, your solution is incorrect.
- 1] Minimize the following boolean function- F(W, X, Y, Z) = Σm(1, 3, 4, 6, 9, 11, 12, 14) 2] This function is independent ________ number of variables. Fill in the blank.Q1: Y=f{A,B,C.D,E.F)=Em (0,1,2,4,5,6,7,9,13,15,17,19,21,23,26,27,30,31,33,37,39,40,42,44,45,4 6,47,49,53,55,57,59,60,61,62,63) Design the function with minimal logic gates and simplify the functions Using Karnaugh Map Method.10.) Interchangé Q8) if x= [15 6; 3 -4 11;-9 -7-8] find the following 1.) Square root of x 2.) Absolute value of x 3.) Maximum number of x 4.) Minimum number of x 5.) Length of x 6.) Size of x 7.) sort of x by increasing order 8.) Mean of x 9.) Sum of third column of x hon
- (x² If h(x) X 2 , then 2Question: A common year in the modern Gregorian Calendar consists of 365 days. In reality, Earth takes longer to rotate around the sun. To account for the difference in time, every 4 years, a leap year takes place. A leap year is when a year has 366 days: An extra day, February 29th. The requirements for a given year to be a leap year are: 1) The year must be divisible by 4 2) If the year is a century year (1700, 1800, etc.), the year must be evenly divisible by 400 Some example leap years are 1600, 1712, and 2016. Write a program that takes in a year and determines the number of days in February for that year. My Code: def days_in_feb(user_year): is_leap_year = 29 not_leap_year = 28 if user_year % 4 ==0: return is_leap_year elif user_year % 4 ==0 and user_year % 100 == 0 and user_year % 400 == 0: return is_leap_year else: return(not_leap_year) if __name__ == '__main__': # Type your code here. Your code must call the function. user_year =…Problem B. Musical Key ConversionThe chromatic scale is a 12-note scale in music in which all notes are evenly spaced: that is, the ratio of the frequency between any two consecutive notes is constant. The notes are typically labeled in the following sequence: A, A#, B, C, C#, D, D#, E, F, F#, G, G# After G#, the labels loop back and start over with A (one octave higher). To convert between musical keys, you can shift all notes in a piece of music a constant number of steps along the scale above. For example, the sequence of notes E, E, F, G, G, F, E, D, C, C, D, E, E, D, D can be converted to another musical key by shifting everything up three steps: E, E, F, G, G, F, E, D, C, C, D, E, E, D, D G, G, G#, A#, A#, G#, G, F, D#, D#, F, G, G, F, F Notice that G was converted to A#, since going three steps up required us to loop off of the top of the scale back to the bottom: G -> G# -> A -> A#. Technically we should note that this would be A# of the next octave up, but we’ll…