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- Correct answer will be upvoted else downvoted. Computer science. Polycarp recalled the 2020-th year, and he is content with the appearance of the new 2021-th year. To recall such a great second, Polycarp needs to address the number n as the amount of a specific number of 2020 and a specific number of 2021. For instance, if: n=4041, then, at that point, the number n can be addressed as the total 2020+2021; n=4042, then, at that point, the number n can be addressed as the total 2021+2021; n=8081, then, at that point, the number n can be addressed as the total 2020+2020+2020+2021; n=8079, then, at that point, the number n can't be addressed as the amount of the numbers 2020 and 2021. Assist Polycarp with seeing if the number n can be addressed as the amount of a specific number of numbers 2020 and a specific number of numbers 2021. Input The primary line contains one integer t (1≤t≤104) — the number of experiments. Then, at that point, t experiments follow.…(Translate the following argument into PL using letters to represent simple propositions as needed.) 1. All even numbers are divisible by 2, and all odd numbers aren't. A number n being odd implies that n is not divisible by 2. A number n is odd if an only i it is not divisible by 2. It can't be the the case that a number is both greater than 1 and not a prime number. Therefore, 3 is an odd prime number.The 10 Richest People in the World 2023 Rank Name Age Wealth ($bil) Wealth per year 1 Bernard Arnault & family 74 211 2 Elon Musk 51 212 3 Jeff Bezos 59 213 4 Larry Ellison 78 214 5 Warren Buffett 92 215 6 Bill Gates 67 216 7 Michael Bloomberg 81 217 8 Carlos Slim & family 83 218 9 Mukesh Ambani 65 219 10 Steve Ballmer 67 220 Total Average 1 Create a formula to work out the wealth per year for each person. To do this…
- 3. It can be said that statement P is a necessary condition for statement Q if Q ⇒ P is true. In other words, in order for Q to be true, it is necessary that P must be true. Let x be an integer. Give a necessary but not sufficient condition on x for x+5 to be a prime number. Justify your answer. Note: You should give a condition related to x, but not picking one specific number for x.Assume num has a value of 4 and word has a value of “Fun”. Determine whether each of the following complex conditions evaluates to true or false and explain your answer. (2 < num) AND (num < 6) (2 < num) OR (num < 6) (word = “Fun”) OR (word = “fun”) ((2 < num) AND (num = 5+1)) OR (word = “fun”) ((num = 2) AND (num = 7)) OR (word = “Fun”) (num = 2) AND ((num = 7) OR (word = “Fun”)) ((2 < num) AND (num < 6)) AND ((word = “Fun”) OR (word = “fun”))Leap years have 366 days (29 Any year that is divisible by 4 but not by 100 is a leap year. If a year is divisible by 400 then it is also a leap year. So in short any year that is divisible by 4 is a leap year, unless it is divisible by 100, in which case it must also be divisible by 400 for it to be a leap year. Example: 1996 and 2000 were leap years, but 1900 was not. days in February).
- The 10 Richest People in the World 2023 (Excel) Rank Name Age Wealth ($bil) Wealth per year 1 Bernard Arnault & Fam 74 211 2 Elon Musk 51 212 3 Jeff Bezos 59 213 4 Larry Ellison 78 214 5 Warren Buffet 92 215 6 Bill Gates 67 216 7 Michael Bloom 81 217 8 Carlos Slim & fam 83 218 9 Mukesh Ambani 65 219 10 Steve Ballmer 67 220 Total Average Create a formula to work out the wealth per year for each person. To do this you must divide wealth by age and then copy the formula down. 2. Use functions to work out the total and average wealth per year at the bottom of the list. NB: Use the SUM & Average functions to do this. 3. Adjust the Name column so that the text is completely visible. 4. Format the Wealth ($bil) Column to display the figures in currency…One way to determine how healthy a person is by measuring the body fat of the person. The formulas to determine the body fat for female and male are as follows: Body fat formula for women: A1 = (body weight x 0.732) + 8.987 A2 = wrist measurement (at fullest point)/3.140 A3 = waist measurement (at navel) x 0.157 A4 = hip measurement (at fullest point) x 0.249 A6 = forearm measurement (at fullest point) x 0.434 B = A1 + A2 A3 A4 + A5 Body fat = body weight - B Body fat percentage = body fat x 100/body weight Body fat formula for men: A1 = (Body weight x 1.082) + 94.42 A2 = wrist measurement x 4.15 B = A1 A2 Body fat = body weight B Body fat percentage = body fat x 100/body weight Write a program to calculate the body fat of a person.Determine the value of each of the following expressions. (For decimal numbers, round your answer to two decimal places.) (1) abs(-18) fabs(20.5) fabs(-87.2) pow(4, 2.0) pow(8.4, 3.5) sqrt(7.84) sqrt (196.0) sqrt (38.44)* pow(2.4, 2) / fabs(-3.2) floor(27.37) ceil(19.2) floor(12.45) + ceil(6.7) floor (-8.9) + ceil (3.45) floor(9.6) / ceil(3.7) pow(-4.0, 6.0) pow(10, -2.0) pow(9.2, 1.0 / 2)
- You are given an exam with questions numbered 1, 2, 3, . . . , n. Each question i is worth pi points and has a frustration score fi . You must answer the questions in order, but you may choose to skip some questions. The reason you might choose to do this is that even though you can solve any individual question i and obtain the ???? points, some questions are so frustrating that after solving them you will be unable to solve any of the following fi questions. Suppose that you are given the pi and fi values for all the questions as input. Devise an efficient algorithm you can for choosing a set of questions to answer that maximizes your total points, and compute its asymptotic worst case running time as a function of n.Convert the following to integer and round it using Math.round(). (2 Marks)double d = 12.9; The assignment is due strictly on 01-02.2023 before the end of the day. Zero mark will be given for the duplicated/copied worksDetermine whether the following is true or false. Please cite the brief explanation so that I can know why is it true or false. A) 1 ∈ {{1},{2},{3}} B) A\B = A ∩ B^c C) The contrapositive of p -> (p V ¬p) = (¬p∧ q) -> ¬p