Starting Out with C++: Early Objects (9th Edition)
9th Edition
ISBN: 9780134400242
Author: Tony Gaddis, Judy Walters, Godfrey Muganda
Publisher: PEARSON
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Textbook Question
Chapter 5, Problem 8RQE
A loop that evaluates its test expression after each repetition is a(n) ______ loop.
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By dragging statements from the left column to the right column below, give a proof by induction of the following statement:
an
=
= 9" - 1 is a solution to the recurrence relation an = 9an-18 with ao
=
: 0.
The correct proof will use 8 of the statements below.
Statements to choose from:
Note that a₁ =
9a0 + 8.
Now assume that P(n) is true for all n ≥ 0.
Your Proof: Put chosen statements in order in this
column and press the Submit Answers button.
Let P(n) be the predicate, "a = 9″ – 1".
απ = 90 − 1 =
Note that
Let P(n) be the predicate, "an
9" - 1 is a
solution to the recurrence relation an = 9an-1 +8
with ao = 0."
-
Now assume that P(k + 1) is true.
Thus P(k) is true for all k.
Thus P(k+1) is true.
Then ak+1
=
9ak +8, so P(k + 1) is true.
= 1 − 1 = 0, as required.
Then = 9k — 1.
ak
Now assume that P(k) is true for an arbitrary
integer k ≥ 1.
By the recurrence relation, we have
ak+1 =
ak+1 =
= 9ak + 8 = 9(9k − 1) + 8
This simplifies to
9k+19+8 = 9k+1 − 1
Then 9k+1 − 1 = 9(9*…
Given the following request to an AI chatbot, which response is more accurate? (You should use Google to verify that the factual claims in each response are accurate.)
Prompt
Is this true? The first recorded use of the phrase "when pigs fly" in print is in a 1616 play by Ben Jonson called "The Devil is an Ass," in which a character says, "When pigs fly, good-night!!"
Response
Response A
Response B
Yes, that's true! The phrase "when pigs fly" indeed appears in Ben Jonson's 1616 play The Devil is an Ass and was said during the second act in a conversation between Fitzdottrel and Pug. The phrase was first used to express skepticism or disbelief, suggesting that something is as unlikely to happen as the fanciful idea of pigs flying. This usage is often cited as one of the earliest instances of the phrase in print.
The claim that the phrase "when pigs fly" was first recorded in Ben Jonson's 1616 play "The Devil is an Ass" is not accurate. There is no evidence from the…
This is for my Computer Organization & Assembly Language Class
Chapter 5 Solutions
Starting Out with C++: Early Objects (9th Edition)
Ch. 5.1 - How many lines will each of the following while...Ch. 5.1 - Prob. 5.2CPCh. 5.3 - What will each of the following program segments...Ch. 5.6 - In the following program segment, which variable...Ch. 5.6 - Find four errors in the following code that is...Ch. 5.6 - Write a sentinel-controlled while loop that...Ch. 5.7 - Prob. 5.7CPCh. 5.7 - Write a program segment with a do-while loop that...Ch. 5.7 - Revise your answer to Question 5.8 to use the...Ch. 5.8 - What three expressions appear inside the...
Ch. 5.8 - You want to write a for loop that displays I love...Ch. 5.8 - Prob. 5.12CPCh. 5.8 - Write a for loop that displays your name 10 times.Ch. 5.8 - Write a for loop that displays all of the odd...Ch. 5.8 - Write a for loop that displays every fifth number,...Ch. 5.8 - Write a for loop that sums up the squares of the...Ch. 5.8 - Write a for loop that sums up the squares of the...Ch. 5.8 - Write a for loop that repeats seven times, asking...Ch. 5.8 - Write a for loop that calculates the total of the...Ch. 5.11 - Which loop (while, do-while, or for) is best to...Ch. 5.11 - How many total stars will be displayed by each of...Ch. 5.11 - What will the following program segment display?...Ch. 5.12 - Prob. 5.24CPCh. 5.12 - What header file must be included in a program to...Ch. 5.12 - What five steps must be taken when a file is used...Ch. 5.12 - What is the difference between a text file and a...Ch. 5.12 - Prob. 5.28CPCh. 5.12 - What type of file stream object do you create if...Ch. 5.12 - What type of file stream object do you create if...Ch. 5.12 - If dataFi1e is an of stream object associated with...Ch. 5.12 - If dataFile is an ifstream object associated with...Ch. 5.12 - Assume you have an output file named numbers.txt...Ch. 5 - To _______ a value means to increase it by one.Ch. 5 - To _______ a value means to decrease it by one.Ch. 5 - Prob. 3RQECh. 5 - Prob. 4RQECh. 5 - The statement or block that is repeated is known...Ch. 5 - Each repetition of a loop is known as a(n)...Ch. 5 - A loop that evaluates its test expression before...Ch. 5 - A loop that evaluates its test expression after...Ch. 5 - A loop that does not have a way of stopping is...Ch. 5 - A(n) ______ is a variable that counts the number...Ch. 5 - Prob. 11RQECh. 5 - A(n) ________ is a variable that is initialized to...Ch. 5 - A(n) ______ is a special value that marks the end...Ch. 5 - The ________ loop is ideal for situations that...Ch. 5 - The _____ loop always iterates at least once.Ch. 5 - The _______and ______ loops will not iterate at...Ch. 5 - Inside the for loops parentheses, the first...Ch. 5 - A loop that is inside another is called a(n)...Ch. 5 - The _________ statement causes a loop to terminate...Ch. 5 - The _____ statement causes a loop to skip the...Ch. 5 - What header file do you need to include in a...Ch. 5 - What data type do you use when you want to create...Ch. 5 - What happens if you open an output file and the...Ch. 5 - What data type do you use when you want to create...Ch. 5 - What is a files read position? Where is the read...Ch. 5 - What should a program do when it is finished using...Ch. 5 - Write code that lets the user enter a number. The...Ch. 5 - Write a do-while loop that asks the user to enter...Ch. 5 - Write a for loop that displays the following set...Ch. 5 - Write a loop that asks the user to enter a number....Ch. 5 - Write a nested loop that displays the following...Ch. 5 - Write a nested loop that displays 10 rows of #...Ch. 5 - Rewrite the following code, converting the while...Ch. 5 - Rewrite the following code, replacing the do-while...Ch. 5 - Convert the following whi1e loop to a for loop:...Ch. 5 - Convert the following for loop to a while loop:...Ch. 5 - Complete the program segment below to write the...Ch. 5 - Complete the following program segment that reads...Ch. 5 - What will each of the following program segments...Ch. 5 - int x = 1 ; while (x 10) x++; cout x;Ch. 5 - Prob. 41RQECh. 5 - Prob. 42RQECh. 5 - Each of the program segments in this section has...Ch. 5 - A) // This code should use a loop to raise a...Ch. 5 - A) // This code should display the sum of two...Ch. 5 - Prob. 46RQECh. 5 - Characters for the ASCII Codes Write a program...Ch. 5 - Sum of Numbers Write a program that asks the user...Ch. 5 - Distance Traveled The distance a vehicle travels...Ch. 5 - Celsius to Fahrenheit Table In one of the Chapter...Ch. 5 - Speed Conversion Chart Write a program that...Ch. 5 - Ocean Levels Assuming the level of the Earths...Ch. 5 - Circle Areas The formula to compute the area of a...Ch. 5 - Pennies for Pay Write a program that calculates...Ch. 5 - Weight Loss If moderately active persons cut their...Ch. 5 - Calories Burned Running on a particular treadmill,...Ch. 5 - Membership Fees Increase A country club, which...Ch. 5 - Random Number Guessing Game Write a program that...Ch. 5 - Random Number Guessing Game Enhancement Enhance...Ch. 5 - The Greatest and Least of These Write a program...Ch. 5 - Student Line-Up A teacher has asked all her...Ch. 5 - Rate of Inflation The annual rate of inflation is...Ch. 5 - Population Write a program that will predict the...Ch. 5 - Math Tutor Version 3 This program started in...Ch. 5 - Hotel Suites Occupancy Write a program that...Ch. 5 - Rectangle Display Write a program that asks the...Ch. 5 - Diamond Display Write a program that uses nested...Ch. 5 - Triangle Display Write a program that uses nested...Ch. 5 - Arrowhead Display Write a program that uses nested...Ch. 5 - Sales Bar Chart Write a program that asks the user...Ch. 5 - Savings Account Balance Write a program that...Ch. 5 - Using FilesTotal and Average Rainfall Write a...Ch. 5 - Using FilesPopulation Bar Chart Write a program...Ch. 5 - Using FilesStudent Line Up Modify the Student...Ch. 5 - Using FilesSavings Account Balance Modification...
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