Starting Out with Python (4th Edition)
4th Edition
ISBN: 9780134444321
Author: Tony Gaddis
Publisher: PEARSON
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Chapter 5, Problem 22PE
Turtle Graphics: Triangle Function
Write a function named triangle that uses the turtle graphics library to draw a triangle. The functions should take arguments for the X and Y coordinates of the triangle's vertices, and the color with which the triangle should be filled. Demonstrate the function in a
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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 Python (4th Edition)
Ch. 5.1 - What is a function?Ch. 5.1 - Prob. 2CPCh. 5.1 - How do functions help you reuse code in a program?Ch. 5.1 - How can functions make the development of multiple...Ch. 5.1 - How can functions make it easier for programs to...Ch. 5.2 - A function definition has what two parts?Ch. 5.2 - What does the phrase calling a function mean?Ch. 5.2 - When a function is executing, what happens when...Ch. 5.2 - Prob. 9CPCh. 5.4 - What is a local variable? How is access to a local...
Ch. 5.4 - What is a variables scope?Ch. 5.4 - Prob. 12CPCh. 5.5 - What are the pieces of data that are passed into a...Ch. 5.5 - What are the variables that receive pieces of data...Ch. 5.5 - Prob. 15CPCh. 5.5 - When a parameter is changed, does this affect the...Ch. 5.5 - The following statements call a function named...Ch. 5.6 - What is the scope of a global variable?Ch. 5.6 - Give one good reason that you should not use...Ch. 5.6 - Prob. 20CPCh. 5.7 - How does a value-returning function differ from...Ch. 5.7 - Prob. 22CPCh. 5.7 - Prob. 23CPCh. 5.7 - What does the following statement do? x =...Ch. 5.7 - What does the following statement do? print...Ch. 5.7 - What does the following statement do? print...Ch. 5.7 - What does the following statement do? print...Ch. 5.7 - What does the following statement do? print...Ch. 5.7 - When the random module is imported, what does it...Ch. 5.7 - What happens if the same seed value is always used...Ch. 5.8 - Prob. 31CPCh. 5.8 - Look at the following function definition: def...Ch. 5.8 - What is a Boolean function?Ch. 5.9 - What import statement do you need to write in a...Ch. 5.9 - Write a statement that uses a math module function...Ch. 5.9 - Write a statement that uses a math module function...Ch. 5 - A group of statements that exist within a program...Ch. 5 - A design technique that helps to reduce the...Ch. 5 - The first line of a function definition is known...Ch. 5 - You___a function to execute it. a. define b. call...Ch. 5 - A design technique that programmers use to break...Ch. 5 - Prob. 6MCCh. 5 - A ______ is a variable that is created inside a...Ch. 5 - Prob. 8MCCh. 5 - Prob. 9MCCh. 5 - Prob. 10MCCh. 5 - A variable that is visible to every function in a...Ch. 5 - Prob. 12MCCh. 5 - This is a prewritten function that is built into a...Ch. 5 - This standard library function returns a random...Ch. 5 - This standard library function returns a random...Ch. 5 - This standard library function returns a random...Ch. 5 - This statement causes a function to end and sends...Ch. 5 - This is a design tool that describes the input,...Ch. 5 - This type of function returns either True or...Ch. 5 - This is a math module function. a. derivative b....Ch. 5 - The phrase "divide and conquer" means that all of...Ch. 5 - Functions make it easier for programmers to work...Ch. 5 - Function names should be as short as possible.Ch. 5 - Calling a function and defining a function mean...Ch. 5 - A flowchart shows the hierarchical relationships...Ch. 5 - A hierarchy chart does not show the steps that are...Ch. 5 - A statement in one function can access a local...Ch. 5 - In Python, you cannot write functions that accept...Ch. 5 - In Python, you can specify which parameter an...Ch. 5 - You cannot have both keyword arguments and...Ch. 5 - Some library functions are built into the Python...Ch. 5 - You do not need to have an import statement in a...Ch. 5 - Complex mathematical expressions can sometimes be...Ch. 5 - A function in Python can return more than one...Ch. 5 - IPO charts provide only brief descriptions of a...Ch. 5 - How do functions help you to reuse code in a...Ch. 5 - Name and describe the two parts of a function...Ch. 5 - When a function is executing, what happens when...Ch. 5 - What is a local variable? What statements are able...Ch. 5 - What is a local variable's scope?Ch. 5 - Prob. 6SACh. 5 - Suppose you want to select a random number from...Ch. 5 - What statement do you have to have in a...Ch. 5 - What three things are listed on an IPO chart?Ch. 5 - What is a Boolean function?Ch. 5 - Prob. 11SACh. 5 - Write a function named times_ten. The function...Ch. 5 - Examine the following function header, then write...Ch. 5 - Look at the following function header: der...Ch. 5 - What will the following program display? def main...Ch. 5 - Look at the following function definition def...Ch. 5 - Write a statement that generates a random number...Ch. 5 - The following statement calls a function named...Ch. 5 - A program contains the following function...Ch. 5 - Write a function named times_ten that accepts a...Ch. 5 - Write a function named get_first_name that asks...Ch. 5 - Kilometer Converter The Kilometer Converter...Ch. 5 - Sales Tax Program Refactoring Programming Exercise...Ch. 5 - How Much Insurance? Many financial experts advise...Ch. 5 - Automobile Costs Write a program that asks the...Ch. 5 - Property Tax A county collects property taxes on...Ch. 5 - Calories from Fat and Carbohydrates A nutritionist...Ch. 5 - Stadium Seating There are three seating categories...Ch. 5 - Paint Job Estimator A painting company has...Ch. 5 - Monthly Sales Tax A retail company must file a...Ch. 5 - Feet to Inches The Feet to Inches Problem One foot...Ch. 5 - Math Quiz Write a program that gives simple math...Ch. 5 - Maximum of Two Values Write a function named max...Ch. 5 - Falling Distance When an object is falling because...Ch. 5 - Kinetic Energy In physics, an object that is in...Ch. 5 - Test Average and Grade Write a program that asks...Ch. 5 - Odd/Even Counter In this chapter, you saw an...Ch. 5 - Prime Numbers A prime number is a number that is...Ch. 5 - Prime Number List This exercise assumes that you...Ch. 5 - Future Value Suppose you have a certain amount of...Ch. 5 - Random Number Guessing Game Write a program that...Ch. 5 - Rock, Paper, Scissors Game Write a program that...Ch. 5 - Turtle Graphics: Triangle Function Write a...Ch. 5 - Turtle Graphics: Modular Snowman Write a program...Ch. 5 - Prob. 24PECh. 5 - Turtle Graphics: Checkerboard Write a turtle...Ch. 5 - Turtle Graphics: City Skyline Write a turtle...
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