Let P(n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. Here you will outline a strong induction proof that P(n) is true for all integers n≥18. (a) Show that the statements P(18),P(19),P(20), and P(21) are true, completing the basis step of a proof by strong induction that P(n) is true for all integers n≥18. (b) What is the inductive hypothesis of a proof by strong induction that P(n) is true for all integers n≥18? (c) Complete the inductive step for k≥21.
Answers
Following the principle of strong induction, we have shown that P(n) is true for all integers n ≥ 18
(a) The statements P(18), P(19), P(20), and P(21) are true, completing the basis step of the proof. We can form 18 cents using one 7-cent stamp and two 4-cent stamps. Similarly, for 19 cents, we use three 4-cent stamps and one 7-cent stamp. For 20 cents, we need five 4-cent stamps, and for 21 cents, we combine three 4-cent stamps and three 7-cent stamps. (b) The inductive hypothesis of a proof by strong induction for P(n) is that P(k) is true for all integers k, where 18 ≤ k ≤ n. This hypothesis assumes that for any integer k within the range of 18 to n, the statement P(k) is true, which means we can form k cents using only 4-cent and 7-cent stamps. (c) To complete the inductive step for k ≥ 21, we assume that P(m) is true for all integers m such that 18 ≤ m ≤ k. By using the inductive hypothesis, we know that P(k-4) is true. We can form k cents by adding a 4-cent stamp to the combination that forms (k-4) cents. This demonstrates that P(k+1) is also true. Therefore, following the principle of strong induction, we have shown that P(n) is true for all integers n ≥ 18.
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Related Questions
unauthorized use of computer system with a view to seeing or changing data is refered to as
Answers
Answer:
I believe hacking I don't know for sure you may want to see what someone else says
Explanation:
Why is access to equipment so important to the education of an A/V technician? (Select all that apply).
A. A/V technicians have to learn how to use many different types of devices.
B. A/V technicians must become familiar with many different software programs.
C. A/V technicians for large companies often have to buy their own equipment.
D. A/V technicians are not always provided the equipment they need by their employers.
Answers
Answer:
The correct option is;
A. A/V technicians have to learn how to use many different types of devices
Explanation:
Sound recording, mixing boards, video monitors, projectors, speakers, and microphone equipment are set up and operated by audiovisual (A/V) technicians during concerts, live sport games, business meetings and conventions, TV and radio outdoors shoots and for on location assignments as well as equipment maintenance for universities and other organization. As such A/V it is essential for A/V technicians to develop manual dexterity on a wide variety of audiovisual equipment.
Answer:
For this one it is A: A/V Technicians have to learn how to use many different types of devices
but it may be worded differently, and if so its:
D:They need to learn how to use a wide variety of different types of equipment.
Explanation:
edg2021
discuss the advantages and disadvantages of using (a) an unordered file, (b) an ordered file, and (c) a static hash file with buckets and chaining. which operations can be performed efficiently on each of these organizations, and which operations are expensive?
Answers
The operation that can be performed efficiently is ordered Files.
The ordered file is a place where the result of recorder file can be found. An ordered file, unordered file and a static hash file with buckets and chaining is kind of file organization. File organization means a logical correlation among various records.
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What are areas around access points where users can connect to the Internet via WI-FI?
true/false
Answers
Answer:
True
Explanation:
The area around access points where users can connect to the Internet via Wi-Fi is commonly referred to as the Wi-Fi coverage area or Wi-Fi hotspot. This area can vary depending on the strength of the access point's signal, the number of obstacles (such as walls or buildings) in the way, and other factors that can interfere with the wireless signal. In general, the coverage area around an access point can extend up to a few hundred feet in all directions, but this can vary depending on the specific circumstances.
Why should you delete files from your computer?
so that you will have less work to do
because only one hundred files can be saved in a directory
to increase the computer's efficiency
to improve your productivity
Answers
to increase the computer's efficiency
Explanation
The more files it holds, the more "jobs" it has to run, which means that you're computer would be using the same amount of energy running all of them as to less of them. When you close (or delete) some files, it allows the computer to concentrate on only running a smaller amount of files as oppose to a large amount.
hope it helps!
Answer:
To increase the computer's efficiency.
Explanation:
Having a bunch of files will most likely slow down your computer and make things harder to do. If you don't have a bunch of files, though, your computer will be faster and easier to guide through.
I hope this helps :)
What number system do people in America use?
Answers
Answer:
Base-10 (decimal)
Explanation:
The majority of the rest of the world uses the metric system (base 10).
? Assessment
8/10
Which of the following products likely include Internet of Things (IoT) connected
devices?
A soap dispenser that dispenses soap
when it detects a hand underneath.
A smart toilet flushes automatically
after use.
Lights that turn on when someone
enters the bathroom.
None of the above
Answers
Answer:
none of the above
Explanation:
a(n) is any piece of data that is passed iwhen a function is called by its name during the execution of a program, then it isto a function when the function is called.
Answers
An argument is any piece of data that is passed when a function is called by its name during the execution of a program, then it is to a function when the function is called. The correct option is b.
What is execution of a program?To execute a program in a computer is to run the program in the computer and, by extension, to start it up. People run programs in use, and systems execute them. A program is executed using system memory.
An argument allows you to provide additional information to a function. The function can then use that information as a variable while running.
To put it another way, when you write a function, you can pass data in the form of an argument, also known as a parameter.
Thus, the correct option is b.
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Your question seems incomplete, the missing options are:
a. global variable
b. argument
c. local variable
d. parameter
You have just been hired as a Level 1 PC Support Technician by Acme Products. Part of your job responsibilities include performing limited tasks on company workstations. You need to create a local account for a user on a computer running Windows Vista. You also need to install a printer for that user. What type of account must you have on the Windows Vista computer in order to complete your assigned work with limited access?
Answers
You need a userguest account on a Windows Vista PC in order to finish your given tasks with restricted access.
What kind of account allows for total computer access?During the Windows installation, the Administrator account is the first to be established. The local device's services, directories, files, and other resources are completely under the authority of the Administrator account.
What are the three different kinds of Windows user accounts?For ordinary computing, standard user accounts are used. Only utilize administrator accounts when absolutely essential because they provide you the most authority over a machine. Those who only need temporary access to a computer are the main target audience for guest accounts.
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Choose the correct term for each type of software.
software manages the hardware and software on a computer. Without this software, the computer
would not be functional.
software allows users to complete tasks and be productive. Examples of this software include
browsers, word processors, and video editors.
software allows programmers to create the software and utilities used on computers.
Answers
The correct term for each type of software may include is as follows:
An operating system is a type of software that manages the hardware and software on a computer. Without this software, the computer would not be functional.System software is a type of software that allows users to complete tasks and be productive. Examples of this software include browsers, word processors, and video editors.Application software allows programmers to create the software and utilities used on computers.What do you mean by Software?Software may be defined as a set and collection of instructions, data, or programs that are used to operate computers and execute specific tasks.
It is the opposite of hardware, which describes the physical aspects of a computer. Software is a generic term used to refer to applications, scripts, and programs that run on a device.
An operating system is software that controls and coordinates the computer hardware devices and runs other software and applications on a computer. It is the main part of system software and a computer will not function without it.
Therefore, the correct term for each type of software may include is well-mentioned above.
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In java, how do I make a scanner class?
Answers
Answer:
Scanner input = new Scanner(System.in);
What is the difference between an embedded image and an attached image? An embedded image is displayed as an image in the body of an email, but an attached image is not. An embedded image is displayed as a paper clip in the content of an email, but an attached image is not. An attached image takes on a larger file size due to the extra data required to create the attachment. An attached image is a smaller file size due to the compression that takes place during the attachment process.
Answers
Answer:
An embedded image is displayed as an image in the body of an email, but an attached image is not.
Explanation:
This is the answer.
Answer:
it is a
Explanation:
True or false. The send e-mail feature, listed under tools, will allow you to send an e-mail to your instructor and to fellow students directly from your online course in blackboard.
Answers
Answer:
TRUEExplanation: please mark me brainliest
Use the drop-down menus to complete statements about back-up data files.
The default storage location for back-up data files is in the local
folder.
PST files are not
in the Outlook client, and users must
the files
to make them usable.
Answers
Answer:
the third one trust me
Explanation:
Answer:
Documents
accessible
import or export
Explanation:
Edge, just did it
What are a few ways to format the text in a mail message in Outlook? Check all that apply.
Attach a file to the message to be opened separately.
Open the Font dialog box to access more detailed options.
Increase or decrease the indent.
Copy and paste text from a Word document
Use the Mini Toolbar to change the font appearance.
Click the Format Painter to paste a saved font format.
Answers
Answer:
The answers are b,c,d,e,f
Explanation:
What is the SPECIAL NAME used to describe all the types of drawings which allows three faces to be seen at one time?
Answers
Answer:
3d or 3 dimensional??? I'm not sure but it sounds like it
Answer:
Orthographic projection is a name given to drawings that usually have three views. Often, the three views selected are the top, front, and right side.
hope this helps!
A ___ covers several adjacent buildings of a school and business.
capus area networking
virtual private network
metropolitan area network
personal area network
Answers
Answer:
Campus Area Network.
Explanation:
Doesn't need explaining.
Answer:
campus area network
Explanation:
correct on edge
"Caller ID" is the feature that displays the telephone number of the caller on the telephone of the person he or she calls. With Caller ID now routine and widely used, it might be surprising that when the service was first available, it was very controversial because of privacy implications. (a) What aspect of privacy (in the sense of Section 2.1.1) does Caller ID protect for the recipient of the call? What aspect of privacy does Caller ID violate for the caller? (b) What are some good reasons why a nonbusiness, noncriminal caller might not want his or her number displayed?
Answers
Answer: Provided in the explanation section
Explanation:
please follow this explanation for proper guiding.
(a)
i. What aspect of privacy does Caller ID protect for the recipient of the call?
* The beneficiary of the call utilizing the Caller ID highlight becomes more acquainted with who precisely the guest is, independent of the guest being a decent/terrible individual or authentic/ill-conceived call.
* Depending on how the call went or wound up, i.e., the discussion, business, messages passed on, the beneficiary would have the option to act in like manner and suitably dependent on the guest and his message's respectability, habits, morals, demonstrable skill, or telephone decorums, and so forth.
* Also, the beneficiary gets the alternative to choose how to manage the call even before him/her picking the call, when he/she comes to know who the guest is through Caller ID include, the beneficiary gets security by either separating the call, sending or diverting the call, recording the call, not noting the call, or in any event, blocking or announcing the number in any case. Along these lines, the beneficiary's security is ensured from various perspectives.
ii. What aspect of privacy does Caller ID violate for the caller?
* Even however as it were, in fact it distinguishes, confirms, and validates the guest demonstrating he/she is who he/she professes to be. In any case, the guest ID highlight or innovation unveils numerous information and data about the guest, for example, his accurate phone number or PDA number, nation code, the specific phone or versatile transporter organize he/she is utilizing, and so on., as this data may make dangers the guest's security, (for example, character burglaries or just assailants caricaturing others utilizing this current guest's data), classification, it might cause accessibility issue for the guest as when the guest is besieged with ill-conceived calls, spam, and undesirable calls, there are chances their telephone numbers could and would be imparted to many advertising and selling organizations or industry without the guest's assent, there are chances somebody focusing on the guest may tap or wire his/her significant, basic business, social, expert, individual, or private calls for touchy data to assault them and abuse the bantered data. The guest certainly loses his/her secrecy, opportunity, directly for discourse, security, and wellbeing when passing on messages over the call when they know there could be somebody tapping or recording the call, or even the beneficiary may abuse the guest's character and his/her passed on data.
* Hence, the guest doesn't get the opportunity from reconnaissance i.e., from being followed, followed, watched, and spying upon by trouble makers.
* The guest would lose the control of their data on how it would be put away or utilized.
* The guest probably won't get opportunity from interruptions.
(b). What are some good reasons why a non-business, non-criminal caller might not want his or her number displayed?
* A non-business and a noncriminal guest would need to enjoy typical, common, and regular exercises; mingle and do his/her own day by day close to home, private, and public activities' assignments, occupations, occasions, social occasions, correspondences, individuals organizing, and so on., without making any whine about things, exposure stunts, without causing anyone to notice tail, screen, follow, question, or explore the guest superfluously except if the guest has enjoyed, asked, stated, discussed, or passed on any message that is unlawful, exploitative, wrongdoing, and culpable.
* Such a guest would need total or most extreme namelessness, as to them, guest ID innovation just uncovers their own and private life exercises, correspondences, and so forth., to others to pass judgment on them, question them, and later cross examine and research them on their interchanges.
* Such guests for the most part search for security in general.
* Specifically, such guests need classification of their calls, discussions, messages, call logs, and so forth.
* The beneficiary on occasion may get the guest's private unlisted number without the guest's assent or authorization.
* The beneficiary may utilize the guest's telephone number and name to get a lot other data about him/her, which the beneficiary should, that would incorporate the guest's location (area) through an opposite catalog or just turning upward in any phone registry.
* The beneficiary might not have any desire to talk, mingle, or work with the guest in view of the area (address), ethnicity (from the name), race, or district the guest is from.
Write a program that hardcodes N and then computes the average (the arithmetic mean) of N integers selected from [0,1000]. This program should run 10 times, and thus provide 10 results.
You should use an outer loop that runs the inner loop (the one which computer the mean) a total of 10 times, printing out the 10 results, one per line.
Answers
Answer:
Explanation:
Program ( PascalABC) and Result:
const N = 25;
var Summ : integer;
Num : integer;
Sa : real;
begin
Num := 0;
for var j := 1 to 10 do
begin
Summ := 0;
for var i:= 1 to N do
Summ := Summ + Random (1001);
Sa := Summ / N;
Write (' Sa = ', Sa);
WriteLn;
end;
end.
With p = 1 000 000 the result is naturally close to the middle of the interval (0 - 1000), that is, the number 500
how and why Steve Jobs left Apple Computer.
Answers
Answer:
Jobs was forced out of Apple in 1985 after a long power struggle with the company's board and its then-CEO John Sculley. ... He was largely responsible for helping revive Apple, which had been on the verge of bankruptcy.
Explanation:
what is concurrency control and why does a dbms need a concurrency control facility?
Answers
Concurrency control controls concurrent access to a database in a database management system (DBMS). Additionally, it serializes transactions for backup and recovery and stops two users from modifying the same record at the same time.
What is Concurrency control?Concurrency control in information technology and computer science ensures that accurate results for concurrent processes are obtained while acquiring those results as soon as feasible, particularly in the domains of computer programming, operating systems, multiprocessors, and databases. Computer systems are made up of modules, or components, both in the hardware and software. Each part is intended to function properly, that is, to adhere to or satisfy a set of consistency rules. A given component's consistency may be broken by another component when concurrently running components communicate via messaging or share accessed data (in memory or storage). Concurrency control as a whole offers guidelines, techniques, design approaches, and theories to preserve the consistency of parts that operate concurrently and interact, and thereby the consistency and accuracy of the entire system.
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in linear programming, choices available to a decision maker are called part 2 a. constraints. b. choice variables. c. objectives. d. decision variables.
Answers
In linear programming, choices available to a decision maker are called d. decision variables.
Linear programming is a mathematical optimization technique used to determine the best possible outcome in a given set of constraints. It is commonly used in business and economics to optimize resource allocation and make informed decisions. In the context of linear programming, decision variables refer to the choices or unknown quantities that the decision maker has control over and seeks to optimize.
These decision variables represent the actions or decisions that the decision maker can take to achieve their objectives. They are typically represented as symbols or variables in the mathematical formulation of the linear programming problem. The decision maker can assign values to these variables within specified constraints to achieve the desired outcome.
Decision variables in linear programming represent the choices available to the decision maker, allowing them to optimize their objectives within the defined constraints. These variables serve as the building blocks for formulating and solving linear programming problems.
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A solar panel installation company wants to expand into a new state and they want to learn what home owners understand about solar panels. They post a series of questions on their social media platforms to gather information and ideas about how to expand in this new area. The posts go viral and they collect thousands of responses, questions, and criticisms. What is this behavior called?
Answers
Answer:
This behavior is called Crowdsourcing.
What is the difference between the = operator and the == operator in Java?
= denotes an allocation, and == denotes an assignment
= denotes an assignment, and == denotes a comparison
= denotes an initialization, and == denotes a comparison
= denotes a comparison, and == denotes an assignment
Answers
Answer:
The are different severs I guess
Explanation:
All of the following are types of stripping except:_________
a. a.end terminations
b. window cuts
c. spiral cuts
d. indent cuts
Answers
The option that is not a types of stripping is option d. indent cuts.
What is Stripping?Stripping is known to be a term that connote a physical form of separation process where one or a lot of parts or components are said to be removed.
Note that in regards to industrial applications, Stripping is known to be carried out in a packed or trayed column. Therefore, the option that is not a types of stripping is option d. indent cuts.
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Last week I was able to go to see the new Dr. Strange movie. I thought it was pretty awesome. When I was looking at buying tickets I wanted to make sure I got as many discounts as I could get. By default a movie ticket is $15. If you go before 5pm, the ticket price is $12.50. If you plan on buying in bulk (5 or more tickets) you will receive a 10% discount. If you are a student, you get a 15% discount.
Write a program that asks the user if they are going to the movie before 5PM (1 for yes, 0 for no), how many tickets they are going to buy (an integer greater than 1), and if they are a student (1 for yes, 0 for no). Print out the total cost for the amount of tickets you would like to buy.
Sample Case 1:
Are you going to the movie before 5PM? (1 - Yes, 0 - No)
0
How many people are going?
2
Are you a student? (1 - Yes, 0 - No)
0
The group’s price is $30.00.
Answers
The program is an illustration of conditional statements.
Conditional statements can have single condition or multiple conditions
The complete programThe program written in Python is as follows:
price = 15
timeCheck = int(input("Are you going to the movie before 5PM? (1 - Yes, 0 - No)"))
if timeCheck == 1:
price = 12.5
numPeople = int(input("How many people are going?"))
if numPeople>= 5:
price = price * 0.90 * numPeople
else:
price = price * numPeople
student = int(input("Are you a student? (1 - Yes, 0 - No)"))
if student == 1:
price = price * 0.85
print("The group's price is",price)
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How are computer generation classified.
Answers
Answer:
The classification and time periods are given below:
Second Generation Computer (1957-1963)
Third Generation Computer (1964-1971)
Fourth Generation Computer (1972 onward)
Fifth Generation Computer (Present and future)
when c is working with an operator, it strives to convert operands to the same type. this is known as group of answer choices
Answers
D) Promotion. In C++, when working with an operator, the operands are typically converted to a common type, known as "promotion."
C++ is done to ensure that the operator can be applied correctly to the operands and to prevent any unnecessary loss of precision. For example, if an operator is applied to a short int and an int, the short int will be promoted to an int before the operator is applied. Code refers to a set of instructions or statements that a computer or machine can interpret and execute. It is written in a programming language, and is used to create software and apps.
The complete question is:
When C++ is working with an operator, it strives to convert operands to the same type. This is known as
A) type correction
B) type conversion
C) demotion
D) promotion
E) None of these. explain your answer
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what is the range of addresses for a conditional branch instruction in armv8 with respect to address a, where a contains the address of the branch instruction? a /- how many mb?
Answers
The instruction format used will determine the range of addresses for a conditional branch instruction in Armv8 relative to the location of the branch instruction (included in register A).
What does assembly language's conditional branching mean?Conditional Jumps: Assembly Branching, If the two values meet the required condition, a conditional jump instruction such as "je" (jump-if-equal) performs a goto somewhere. For instance, if the values are equal, subtracting them yields zero, making "je" and "jz" equivalent.
What do computer organization conditional branch instructions entail?Depending on the value of bits stored in the PSR, a conditional branch instruction may or may not result in a transfer of control (processor status register). Different combinations of Status bits are tested for a condition by each conditional branch instruction.
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A software license gives the owner the to use software.
Answers
Answer:
You answer would be D
Legal right
Explanation:
A software license is the legal right to use and share software.
The license grants or denies permission to:
-share the software with other users.
-use the software on more than one computer.
Many licenses come with support, if needed.
-Edge 2020
A software license gives the owner the legal right to use the software. Thus, option A is correct.
What exactly is a license?A license can be defined as a part in which a person needs authority or permission to perform a specific action for which he may require a registered document from the government known as a license.
A software lesson season legal entity that is being provided to a person who is uses the legal right to operate a particular system he has the just right to do what is required.
A software license seems to be a legally binding contract that outlines the terms and conditions for the use of software available. Computer users are often granted the ability to make one or even more reproductions of the application without infringing on third-party rights.
Therefore, option A is the correct option.
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The question is incomplete, the complete question will be:
A software license gives the owner the _____ to use software.
human right
understanding
password
legal right