Q1\A) A paint company is trying to recycle unpopular paint colours by mixing them together to create better colours. All paints are composed of four pigments (A,B,C,D). The current paints are composed of pigments (in percent) according to the following equations: are p₁ = 80A+ 16C + 4D, P: 80B + 20C, p = 30A + 10B + 60C. Pa = 10A + 10B + 72C + 8D. The better colour say p, is composed as follows: p = 40A + 27B +31C + 2D. How much of the paints P₁, P2, Ps, and p4 should be used to make one gallon of ps. Hint: use (Ax=b).
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Max Function
Statistical function is of many categories. One of them is a MAX function. The MAX function returns the largest value from the list of arguments passed to it. MAX function always ignores the empty cells when performing the calculation.
Power Function
A power function is a type of single-term function. Its definition states that it is a variable containing a base value raised to a constant value acting as an exponent. This variable may also have a coefficient. For instance, the area of a circle can be given as:
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- Assume that a, b, c are numbers.Return 'increasing' if they are in increasing order, 'decreasing' if they are in decreasing order, 'both' if they are both increasing and decreasing, and 'neither' otherwise.Here, 'increasing' means that each value is at least as largeas its predecessor. Similarly for decreasing.The sequence 3, 4, 4 is increasing. whereasthe sequence 4, 4, 4 is both increasing and decreasing.For example,lenient(3, 4, 5) returns 'increasing'lenient(3, 4, 4) returns 'increasing'lenient(4, 4, 4) returns 'both'lenient(4, 3, 2) returns 'decreasing'lenient(4, 3, 3) returns 'decreasing'lenient(4, 2, 3) returns 'neither'Assume you work as a cashier in a restaurant. You must keep track of the amount of money your restaurant earns each day and report it to your boss. If a customer purchases something, that amount is added to the daily income book.Take a customer's order and if a customer enters an "X," the order is complete, and print "Total cost of the items: ". In this way, 3 customers can order at maximum as your restaurant only serves three customers per day; after the service, print the day's total income; if the total money exceeds 500tk, print "Great Work". Otherwise, print "Do Best Next Day."Note: Write a function called “take_order()” that asks users to input food names, calculate the amount and show it to the customer. When the last customer buys, you need to also calculate the total income of the day and show it at the end. Assume that no customers enter invalid food names.The Dictionary ‘price_list’ is set for you and use it in the code for your convenience.price_list={'Juice':30, 'Fried…C++ Bianca is preparing special dishes for her daughter’s birthday.It takes her a minutes to prepare the first dish, and each following dish takes b minutes longer than the previous dish. She has t minutes to prepare the dishes.For example, if the first dish takes a = 10 minutes and b = 5, then the second dish will take 15 minutes, the third dish will take 20 minutes, and so on.If she has 80 minutes to prepare the dishes, then she can prepare four dishes because 10 + 15 + 20 + 25 = 70.Write a program that prompts the user to enter the values of a, b, and t, and outputs the number of dishes Bianca can prepare.
- Please code in C++. Write a program that simulates a coin-tossing game. At the beginning of the game, each of N players has a single fair coin and M points. The game performs a sequence of passes until only a minimum number of players remain. In a pass the players toss their coins into the air and when the coins fall to earth, the players count the number of coins that show heads and the number of coins that show tails. If the number of heads exceed the number of tails, then the players who tossed heads increase their points by an integer P and the players who tossed tails decrease their points by the same integer P. The players perform the opposite actions when the number of tails is greater than the number of heads. If the number of heads equals the number of tails, then no player’s points change. If any player’s points fall below one, then the player leaves the game, never to return. The game employs a second integer K to compute P’s value. K’s and P’s initial values are one.…Use C++: Develop a Tic Tac Toe game that will match a player against the computer. Do’s: Use a typical 3 x 3 board. The horizontal axis should be labeled A, B, C. The vertical axis should be labeled 1, 2, 3. For Example the picture attatched. Use User-Defined Functions. Use Branching. Use Loops. Use String functions. Randomly determine who will move first, the human or computer. Assign O to the computer and X to the Human player. Ask the user to select their move using the horizontal and vertical position. For example: A1 for the upper left square, or B2 for the center square. After each move, redraw the board with the X’s and O’s in the right positions. After each game, ask the user if they want to play again. If they do, start the game again. Bullets 8 and 10 are very important. Do not’s: Don’t use User Classes or Objects Don’t use images Program must use: functions loops branching string functionsUse C++: Develop a Tic Tac Toe game that will match a player against the computer. Do’s: Use a typical 3 x 3 board. The horizontal axis should be labeled A, B, C. The vertical axis should be labeled 1, 2, 3. For Example the picture attatched. Use User-Defined Functions. Use Branching. Use Loops. Use String functions. Randomly determine who will move first, the human or computer. Assign O to the computer and X to the Human player. Ask the user to select their move using the horizontal and vertical position. For example: A1 for the upper left square, or B2 for the center square. After each move, redraw the board with the X’s and O’s in the right positions. display if there is a tie After each game, ask the user if they want to play again. If they do, start the game again. Bullets 8 and 10 are very important. Must use and do all of the bullets Do not’s: Don’t use User Classes or Objects Don’t use images Program must use: functions loops branching string functions
- C++ - Rolling a single six-sided die produces a random number between 1 and 6 with a uniform distribution. Rolling two dice produces a number between 2 and 12 with a binomial distribution. In this lab you will simulate a number of dice rolls and graph the number of occurrences of each value. 1) Create a function called rollDie() that takes no parameters, and returns a random value between 1 and 6. Do not seed the random number generator in this function. int rollDie() 2) Create a function called initArray() that takes a data array and the size of the array as parameters and fills each element with the summed results of rolling two dice. Do not assume that the data array has been initialized. void initArray(int data[], int size) 3) Create a function called sortArray() that takes an array and the size of the array as parameters, and sorts the array using the sediment sort. void sortArray(int data[], int size) The sediment sort works as follows: start with the second element in the array…8: PGandE.cpp) Consider a gas and electric bill that setstwo levels of use as follows:Gas ElectricTier 1 quantities 10.1 therms 558 kwhTier 1 price $1.415 /therm $.223 /kwhTier 2 Price $1.9)32 /therm $.281 /kwhWrite a program that takes starting and ending readingsfor gas and electric meters and calculates charges to thenearest cent. Use one function to calculate charges for bothgas and electric so as to eliminate duplicate calculations pprogram in c++Using C++ 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. Ex: If the input is: 1712 the output is: 1712 has 29 days in February. Ex: If the input is: 1913 the output is: 1913 has 28 days in February. Your program must define and call the following function. The function should return the number of days in February for the input year. int DaysInFeb(int userYear) #include <iostream>using namespace std; /* Define your function here…
- 9. You are given some coins. You have to take some coins from the given coins such that the sum of the coinsyou took have a value strictly larger than the sum of the rest of the coins. However, you have to takeminimum number of coins while satisfying this conditionInputIn the first line, you are given n (n<=100), the number of integer numbers. In the next line, you will be given nintegers, separated by spaces.OutputOutput one number, the minimum number of coins you need to take to have a larger sum than the sum of thecoins you did not take.Input Output23 3 232 1 2 264 2 1 2 1 1 2In the first sample you will have to take 2 coins. If you take 1 coin, you get sum 3, 3. If you take 0 coins, you getsums 0, 6. Those variants do not satisfy you as your sum should be strictly more than the other sum.In the second sample one coin isn't enough for you, too. You can pick coins with values 1, 2 or 2, 2. In any case,the minimum…c++ code Implement the following two functions void print(Point &p) : prints the details of the point. Note that 2D points and 3D points should be treated differently. double computeDistance(Point & p1, Point & p2) : computes the Euclidean distance between the two points, which equals to: Sqrt((x1-x2)2+(y1-y2)2) for 2D points, and Sqrt((x1-x2)2+(y1-y2)2+(z1-z2)2) for 3D points. Implement a driver program to test these two functions.(Data processing) Your professor has asked you to write a C++ program that determines grades at the end of the semester. For each student, identified by an integer number between 1 and 60, four exam grades must be kept, and two final grade averages must be computed. The first grade average is simply the average of all four grades. The second grade average is computed by weighting the four grades as follows: The first grade gets a weight of 0.2, the second grade gets a weight of 0.3, the third grade gets a weight of 0.3, and the fourth grade gets a weight of 0.2. That is, the final grade is computed as follows: 0.2grade1+0.3grade2+0.3grade3+0.2grade4 Using this information, construct a 60-by-7 two-dimensional array, in which the first column is used for the student number, the next four columns for the grades, and the last two columns for the computed final grades. The program’s output should be a display of the data in the completed array. For testing purposes, the professor has provided the following data: