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- (Misc. application) a. The data in the following chart was collected on a recent automobile trip: Write a C++ program that accepts a mileage and gallons value and calculates the miles pergallon (mpg) for that segment of the trip. The mpg is obtained as the difference in mileage between fill-ups divided by the number of gallons of gasoline used in the fill-up. b. Modify the program written for Exercise 9a to also compute and display the cumulative mpg after each fill-up. The cumulative mpg is calculated as the difference between the mileage at each fill-up and the mileage at the start of the trip divided by the sum of gallons used to that point in the trip.Arithmetic and Logical Operators: Evaluate each of the following statements as True or False. Show intermediate steps for full credit. Try by simplifying only one operator at a time if the whole expression is dicult to understand. (SEE PHOTO) ______________________________________________________________________________ English to Logic (Lawn) Express each sentence using logical operations :, ^, _ and the propositional variables r; s; and l dened below. The use of the word "or" in the sentences below always means inclusive or. r it is raining l the lawn is wet s the sprinkler is on i) It is raining and the lawn is wet ii) It is not raining but the lawn is wet iii) The lawn is not wet and it is not raining iv) There is no way that it is raining v) It is raining or the sprinklers are on vi) Despite the fact that it is raining, the sprinklers are on Consider the eclectic animal collection at the local zoo. Express each sentence using logical operations and the propositional…Interest Rates Savings accounts state an interest rate and a compounding period. If theamount deposited is P, the stated interest rate is r, and interest is compounded m timesper year, then the balance in the account after one year is P⋅(1+rm)m. For instance, if$1000 is deposited at 3% interest compounded quarterly (that is, 4 times per year), thenthe balance after one year is1000⋅(1+.034)4=1000⋅1.00754=$1,030.34.Interest rates with different compounding periods cannot be compared directly.The concept of APY (annual percentage yield) must be used to make the comparison. TheAPY for a stated interest rate r compounded m times per year is defined byAPY=(1+rm)m−1.(The APY is the simple interest rate that yields the same amount of interest after oneyear as the compounded annual rate of interest.) Write a program to compare interestrates offered by two different banks and determine the most favorable interest rate. SeeFig. 4.24.
- Please circle True or False for each of the following statements. C++ The return type void indicates that a function will perform a task but will not return any information upon completion of that task. TRUE FALSE2. Assume x, y and z are integer variables with x = 2, y = 5 and z = 10. Each expressionis independent. Determine the results of the following statements and show the step toevaluate them:Let A, B, and C be the following statements:A Roses are red.B Violets are blue.C Sugar is sweet.Translate the following compound statements into symbolic notation.a. Roses are red and violets are blue.b. Roses are red, and either violets are blue or sugar is sweet. c. Whenever violets are blue, roses are red and sugar is sweet.d. Roses are red only if violets aren’t blue or sugar is sour.e. Roses are red and, if sugar is sour, then either violets aren’t blue or sugar is sweet.
- 7. The argument "I am either happy or sad. I am not sad. Therefore, I am happy." is valid due to* a. Modus Ponens b. Modus Tollens c. Disjunctive Syllogism d. Hypothetical SyllogismIn C please 20.4 LAB: Leap year - functions A year in the modern Gregorian Calendar consists of 365 days. In reality, the 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 whether that year is a leap year. Ex: If the input is: 1712 the output is: 1712 is a leap year. Ex: If the input is: 1913 the output is: 1913 is not a leap year. Your program must define and call the following function. The function should return true if the input year is a leap year and false otherwise.bool IsLeapYear (int userYear) Note: This is a lab from a previous chapter that now…/* * * [a,b] - represents a problem state with a gallons in the 4-gallon jug * and b gallons in the 3-gallon jug */ %% You can fill the 4 gallon jug from the faucet, taking you from a%% problem state [X,Y] to a problem state [4,Y],%% provided X < 4.move([X,Y],'Top off 4-gallon jug from faucet',[4,Y]) :- X<4.%%%%2. Rule corresponding to the move 'Top off 3-gallon jug from faucet'move([X,Y],'Top off 3-gallon jug from faucet',[X,3]) :- Y<3.%%%3. Rule corresponding to the move 'Empty 4-gallon jug onto the ground' %%%4. Rule corresponding to the move 'Empty 3-gallon jug onto the ground'%% 5. Rule corresponding to the move 'Top off 4-gallon jug from 3-gallon% jug'%% 6. Rule corresponding to the move 'Top off 3-gallon jug from 4-gallon% jug'%%7. Rule corresponding to the move 'Empty 3-gallon jug into 4-gallon jug'%%8. Rule corresponding to the move 'Empty 4-gallon jug into 3-gallon jug' %%%%solution predicates% To solve the problem try this: length(X, Y), Y < 10, solution([0,0],…
- For each of the following questions, write ONLY what is requested. a. Write a statement(s) that prompts for and reads in a temperature. b. Write a statement(s) that displays a 7 × 7 square of asterisks. c. State the rule for identifiers (the naming rule). d. Given that an int variable s has been initialized, write a statement(s) that declares a new variable andassign it the remainder of 9 times 8 less than s divided by 4. e. Write a statement(s) that initializes the variables named a, b, c and d to false, ''one'', 'y' and 87.9respectivelyIndicate which operator will be executed first in the following statements. a = 2 * (i + j) % 3; b = 2 * i + j % 3; c = arr[i + j] / i + j; c = arr[i + j] / (i + j);Modified coin-row problem:If we modified the coin-row problem, so that you cannot take the adjacent coin, and youcannot take the coin next to the adjacent coin also (see example below), what would thedynamic programming formula F(n) be?Example: A, B, C, D, E, F, G, H, I, JIf A is taken, then B & C cannot be taken, but D (or above D, like E and so on) can be taken.If B is taken, then A, C, D cannot be taken.And so on.