Find a counterexample for each statement.(a) If n is prime, then 2 - 1 is prime. (Enter an answer where n < 200.)n =(b) Every triangle has at least one obtuse angle. (An angle is obtuse if it has measure greater than 90°.)an 80°, 80°, 80° triangleO a 15°, 25°, 140° trianglea 120°, 30°, 30° triangleO a 35°, 95°, 50° triangleO a 60°, 60°, 60° triangle(c) For all real numbers x, x² > x.X =(d) For every positive nonprime integer n, if some prime p divides n, then some other prime g (with q = p) also divides n.n =

Answer: We have given answer in the brief explanation and also we have taken each and every step.…

Find a counterexample for each statement. (a) If n is prime, then 2 - 1 is prime. (Enter an answer where n < 200.) n = (b) Every triangle has at least one obtuse angle. (An angle is obtuse if it has measure greater than 90°.) O an 80°, 80°, 80° triangle O a 15°, 25°, 140° triangle O a 120°, 30°, 30° triangle O a 35°, 95°, 50° triangle O a 60°, 60°, 60° triangle (c) For all real numbers x, x² >x. X =

Find a counterexample for each statement. (a) If n is prime, then 2 - 1 is prime. (Enter an answer where n < 200.) n = (b) Every triangle has at least one obtuse angle. (An angle is obtuse if it has measure greater than 90°.) O an 80°, 80°, 80° triangle O a 15°, 25°, 140° triangle O a 120°, 30°, 30° triangle O a 35°, 95°, 50° triangle O a 60°, 60°, 60° triangle (c) For all real numbers x, x² >x. X =

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter8: Arrays And Strings

Section: Chapter Questions

Problem 10PE

See similar textbooks

Similar questions

Answer only a) and b) part . Correct answer will be upvoted else downvoted.
You can answer E, F, and G only
Construct a truth table using T and F to determine whether the argument is valid or invalid. T: True F: False
Part 1 of 4 Compute the least-squares regression line for predicting the diastolic pressure from the systolic pressure. Round the sope and y-intercept to at least four decimal places. Regression line equation: y =
Determine whether the following argument is valid or invalid. Include a truth table and a few words explaining why the truth table shows validity or invalidity. If 12 divides 709,438 then 3 divides 709,438. If the sum of the digits of 709,438 is divisible by 9 then 3 divides 709,438. The sum of the digits of 709,438 is not divisible by 9. Therefore, 12 does not divide 709,438.
You may only use 'not' and 'or' to solve this along with parentheses
Should be correct.
Identify if the argument is VALID or INVALID by analyzing the truth table test below:
When you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making periodic payments over a certain period of time. Of course, the lending company will charge interest on the loan. Every periodic payment consists of the interest on the loan and the payment toward the principal amount. To be specific, suppose that you borrow $1,000 at an interest rate of 7.2% per year and the payments are monthly. Suppose that your monthly payment is $25. Now, the interest is 7.2% per year and the payments are monthly, so the interest rate per month is 7.2/12 = 0.6%. The first months interest on $1,000 is 1000 0.006 = 6. Because the payment is $25 and the interest for the first month is $6, the payment toward the principal amount is 25 6 = 19. This means after making the first payment, the loan amount is 1,000 19 = 981. For the second payment, the interest is calculated on $981. So the interest for the second month is 981 0.006 = 5.886, that is, approximately $5.89. This implies that the payment toward the principal is 25 5.89 = 19.11 and the remaining balance after the second payment is 981 19.11 = 961.89. This process is repeated until the loan is paid. Write a program that accepts as input the loan amount, the interest rate per year, and the monthly payment. (Enter the interest rate as a percentage. For example, if the interest rate is 7.2% per year, then enter 7.2.) The program then outputs the number of months it would take to repay the loan. (Note that if the monthly payment is less than the first months interest, then after each payment, the loan amount will increase. In this case, the program must warn the borrower that the monthly payment is too low, and with this monthly payment, the loan amount could not be repaid.)
Primary U.S. interstate highways are numbered 1-99. Odd numbers (like the 5 or 95) go north/south, and evens (like the 10 or 90) go east/west. Auxiliary highways are numbered 100-999 and service the primary highway indicated by the rightmost two digits. Thus, the 405 services the 5, and the 290 services the 90. Given a highway number, indicate whether it is a primary or auxiliary highway. If auxiliary, indicate what primary highway it serves. Also, indicate if the (primary) highway runs north/south or east/west. Ex: If the input is: 90 The output is: The 90 is primary, going east/west. Ex: If the input is: 290 The output is: The 290 is auxiliary, serving the 90, going east/west. Ex: If the input is: 0 Or any number not between 1 and 999, the output is: 0 is not a valid interstate highway number. import java.util.Scanner; public class LabProgram { public static void main(String[] args) { Scanner scnr = new Scanner(System.in); int highwayNumber; int…
Must answer both and in detail and correctly else direct downvote
Summary Interest on a credit card's unpaid balance is calculated using the average daily balance. Suppose that netBalance is the balance shown in the bill, payment is the payment made, d1 is the number of days in the billing cycle, and d2 is the number of days payment is made before billing cycle. Then, the average daily balance is: averageDailyBalance = (netBalance * d1 payme If the interest rate per month is, say, 0.0152, then the interest on the unpaid balance is: interest averageDailyBalance * 0.0152 Instructions Write a program that accepts as input netBalance, d1, payment, d2, and interest rate per month ( interestRate).