Starting Out with C++ from Control Structures to Objects (9th Edition)
9th Edition
ISBN: 9780134498379
Author: Tony Gaddis
Publisher: PEARSON
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Textbook Question
Chapter 2, Problem 11PC
Distance per Tank of Gas
A car with a 20-gallon gas tank averages 23.5 miles per gallon when driven in town, and 28.9 miles per gallon when driven on the highway. Write a
Hint: The following formula can be used to calculate the distance:
Distance = Number of Gallons × Average Miles per Gallon
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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 2 Solutions
Starting Out with C++ from Control Structures to Objects (9th Edition)
Ch. 2.1 - The following C++ program will not compile because...Ch. 2.3 - The following C++ program will not compile because...Ch. 2.3 - Study the following program and show what it will...Ch. 2.3 - Write a program that will display your name on the...Ch. 2.4 - Prob. 2.5CPCh. 2.4 - What will the following program display on the...Ch. 2.6 - Which of the following are illegal variable names,...Ch. 2.6 - Prob. 2.8CPCh. 2.6 - Prob. 2.9CPCh. 2.6 - Prob. 2.10CP
Ch. 2.8 - Prob. 2.11CPCh. 2.8 - Which of the following is a character literal? B BCh. 2.8 - Prob. 2.13CPCh. 2.8 - Write a program that has the following character...Ch. 2.8 - What is wrong with the following program...Ch. 2.8 - Prob. 2.16CPCh. 2.8 - Write a program that stores your name, address,...Ch. 2.11 - Prob. 2.18CPCh. 2.11 - Prob. 2.19CPCh. 2.11 - Prob. 2.20CPCh. 2.14 - Is the following assignment statement valid or...Ch. 2.14 - How would you consolidate the following...Ch. 2.14 - What is wrong with the following program? How...Ch. 2.14 - Prob. 2.24CPCh. 2.16 - Prob. 2.25CPCh. 2 - How many operands does each of the following types...Ch. 2 - How may the double variables temp, weight, and age...Ch. 2 - Prob. 3RQECh. 2 - Write assignment statements that perform the...Ch. 2 - Is the following comment written using single-line...Ch. 2 - Is the following comment written using single-line...Ch. 2 - Modify the following program so it prints two...Ch. 2 - What will the following programs print on the...Ch. 2 - Multiple Choice 9. Every complete statement ends...Ch. 2 - Prob. 10RQECh. 2 - Every C++ program must have a ________. A) cout...Ch. 2 - Preprocessor directives begin with ________. A) #...Ch. 2 - The following data 72 'A' Hello World" 2.8712 are...Ch. 2 - A group of statements, such as the contents of a...Ch. 2 - Which of the following are not valid assignment...Ch. 2 - Which of the following are not valid cout...Ch. 2 - Assume w = 5, x = 4, y = 8, and z = 2. What value...Ch. 2 - How would each of the following numbers be...Ch. 2 - The negation operator is ________. A) unary B)...Ch. 2 - A(n) ___________ is like a variable, but its value...Ch. 2 - Prob. 21RQECh. 2 - T F A variable must be defined before it can be...Ch. 2 - T F Variable names may begin with a number.Ch. 2 - T F Variable names may be up to 31 characters...Ch. 2 - T F A left brace in a C++ program should always be...Ch. 2 - T F You cannot initialize a named constant that is...Ch. 2 - Prob. 27RQECh. 2 - Convert the following pseudocode to C++ code. Be...Ch. 2 - There are a number of syntax errors in the...Ch. 2 - Sum of Two Numbers Write a program that stores the...Ch. 2 - Sales Prediction The East Coast sales division of...Ch. 2 - Sales Tax Write a program that will compute the...Ch. 2 - Restaurant Bill Write a program that computes the...Ch. 2 - Average of Values To get the average of a series...Ch. 2 - Annual Pay Suppose an employee gets paid every two...Ch. 2 - Ocean Levels Assuming the oceans level is...Ch. 2 - Total Purchase A customer in a store is purchasing...Ch. 2 - Cyborg Data Type Sizes You have been given a job...Ch. 2 - Miles per Gallon A car holds 15 gallons of...Ch. 2 - Distance per Tank of Gas A car with a 20-gallon...Ch. 2 - Land Calculation One acre of land is equivalent to...Ch. 2 - Circuit Board Price An electronics company sells...Ch. 2 - Prob. 14PCCh. 2 - Triangle Pattern Write a program that displays the...Ch. 2 - Diamond Pattern Write a program that displays the...Ch. 2 - Stock Commission Kathryn bought 750 shares of...Ch. 2 - Energy Drink Consumption A soft drink company...Ch. 2 - Annual High Temperatures The average July high...Ch. 2 - How Much Paint A particular brand of paint covers...
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