Starting Out with Java: From Control Structures through Data Structures (3rd Edition)
3rd Edition
ISBN: 9780134038179
Author: Tony Gaddis, Godfrey Muganda
Publisher: PEARSON
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Chapter 9, Problem 7PC
Check Writer
Write a
| Date: | 11/24/2012 | |
| Pay to the Order of: | John Phillips | $1920.85 |
| One thousand nine hundred twenty and 85 cents | ||
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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 9 Solutions
Starting Out with Java: From Control Structures through Data Structures (3rd Edition)
Ch. 9.2 - Prob. 9.1CPCh. 9.2 - Write an if statement that displays the word digit...Ch. 9.2 - Prob. 9.3CPCh. 9.2 - Write a loop that asks the user, Do you want to...Ch. 9.2 - Prob. 9.5CPCh. 9.2 - Write a loop that counts the number of uppercase...Ch. 9.3 - Prob. 9.7CPCh. 9.3 - Modify the method you wrote for Checkpoint 9.7 so...Ch. 9.3 - Look at the following declaration: String cafeName...Ch. 9.3 - Prob. 9.10CP
Ch. 9.3 - Prob. 9.11CPCh. 9.3 - Prob. 9.12CPCh. 9.3 - Prob. 9.13CPCh. 9.3 - Look at the following code: String str1 = To be,...Ch. 9.3 - Prob. 9.15CPCh. 9.3 - Assume that a program has the following...Ch. 9.4 - Prob. 9.17CPCh. 9.4 - Prob. 9.18CPCh. 9.4 - Prob. 9.19CPCh. 9.4 - Prob. 9.20CPCh. 9.4 - Prob. 9.21CPCh. 9.4 - Prob. 9.22CPCh. 9.4 - Prob. 9.23CPCh. 9.4 - Prob. 9.24CPCh. 9.5 - Prob. 9.25CPCh. 9.5 - Prob. 9.26CPCh. 9.5 - Look at the following string:...Ch. 9.5 - Prob. 9.28CPCh. 9.6 - Write a statement that converts the following...Ch. 9.6 - Prob. 9.30CPCh. 9.6 - Prob. 9.31CPCh. 9 - The isDigit, isLetter, and isLetterOrDigit methods...Ch. 9 - Prob. 2MCCh. 9 - The startsWith, endsWith, and regionMatches...Ch. 9 - The indexOf and lastIndexOf methods are members of...Ch. 9 - Prob. 5MCCh. 9 - Prob. 6MCCh. 9 - Prob. 7MCCh. 9 - Prob. 8MCCh. 9 - Prob. 9MCCh. 9 - Prob. 10MCCh. 9 - To delete a specific character in a StringBuilder...Ch. 9 - Prob. 12MCCh. 9 - Prob. 13MCCh. 9 - These static final variables are members of the...Ch. 9 - Prob. 15TFCh. 9 - Prob. 16TFCh. 9 - True or False: If toLowerCase methods argument is...Ch. 9 - True or False: The startsWith and endsWith methods...Ch. 9 - True or False: There are two versions of the...Ch. 9 - Prob. 20TFCh. 9 - Prob. 21TFCh. 9 - Prob. 22TFCh. 9 - Prob. 23TFCh. 9 - int number = 99; String str; // Convert number to...Ch. 9 - Prob. 2FTECh. 9 - Prob. 3FTECh. 9 - Prob. 4FTECh. 9 - The following if statement determines whether...Ch. 9 - Write a loop that counts the number of space...Ch. 9 - Prob. 3AWCh. 9 - Prob. 4AWCh. 9 - Prob. 5AWCh. 9 - Modify the method you wrote for Algorithm...Ch. 9 - Prob. 7AWCh. 9 - Look at the following string:...Ch. 9 - Assume that d is a double variable. Write an if...Ch. 9 - Write code that displays the contents of the int...Ch. 9 - Prob. 1SACh. 9 - Prob. 2SACh. 9 - Prob. 3SACh. 9 - How can you determine the minimum and maximum...Ch. 9 - Prob. 1PCCh. 9 - Prob. 2PCCh. 9 - Prob. 3PCCh. 9 - Prob. 4PCCh. 9 - Prob. 5PCCh. 9 - Prob. 6PCCh. 9 - Check Writer Write a program that displays a...Ch. 9 - Prob. 8PCCh. 9 - Prob. 9PCCh. 9 - Word Counter Write a program that asks the user...Ch. 9 - Sales Analysis The file SalesData.txt, in this...Ch. 9 - Prob. 12PCCh. 9 - Alphabetic Telephone Number Translator Many...Ch. 9 - Word Separator Write a program that accepts as...Ch. 9 - Pig Latin Write a program that reads a sentence as...Ch. 9 - Prob. 16PCCh. 9 - Lottery Statistics To play the PowerBall lottery,...Ch. 9 - Gas Prices In the student sample program files for...
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