If function f is one-to-one and function G is an injection, assuming the composition of fand g is defined, then it is : a. may not be one-to-one b. an injective function c. a bijective function d. a surjective function

Answers

Answer 1

If function f is one-to-one and function g is an injection, then the composition of f and g may not be one-to-one, and it can be any of the options: may or may not be injective, bijective, or surjective.

The composition of two functions, denoted as (f ∘ g), is the application of function f on the output of function g. In this scenario, if function f is one-to-one (injective) and function g is an injection (also injective), it does not guarantee that the composition (f ∘ g) will be one-to-one.

To understand this, consider a counterexample: Let f: A → B and g: C → A be injective functions. If we take the composition (f ∘ g), the resulting function maps from C to B. While f and g individually are injective, it is possible that the composition (f ∘ g) maps multiple elements of C to the same element in B. In other words, the composition may not preserve the one-to-one property. Thus, the answer is (a) may not be one-to-one. Additionally, the composition (f ∘ g) can have any of the properties: injective, surjective, or bijective, depending on the specific functions involved. The given information about f being one-to-one and g being an injection does not provide enough information to determine the exact properties of the composition.

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Related Questions

Former CIA employee and NSA contractor, ____________ is seen by many as either a whistle-blowing hero or a traitorous villain. This person gathered sensitive digital documents from U.S., British, and Australian agencies, and leaked them to the press, exposing the extent of government surveillance efforts.

Answers

Edward Snowden is a retired CIA employee, and an NSA contractor is regarded by many as a whistle-blowing hero or a treasonous villain. This individual obtained sensitive digital data from the U.S., British, and Australian agencies and leaked them to the press, exposing the breadth of government surveillance efforts.He is a former computer intelligence consultant who released a highly classified central intelligence agency (NSA) in 2013 while serving as a contract for the Central Intelligence Agency.That's why the answer is "Edward Snowden".

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An android user recently cracked their screen and had it replaced. If they are in a dark room, the phone works fine. If the user enters a room with normal lights on, then the phone's display is dim and hard to read. What is most likely the problem?

Answers

There are two possibilities for the problem in the given scenario. The first and most probable cause of the problem is that the replaced screen was of low quality or did not meet the device's standards.

Therefore, the screen is not transmitting light properly and is producing dim or blurry images.The second possibility for the problem is that the light sensor of the phone might be affected by the screen replacement. The phone might be adjusting the brightness levels based on the low light environment in the dark room and not adjusting correctly in the normal light environment.

This can result in the phone being too bright or too dim, making it difficult to read the display.However, both of these possibilities can be avoided by purchasing a high-quality replacement screen or seeking professional assistance to fix the problem. In such cases, it is recommended to have an expert inspect the device for any faults and repair it accordingly.Moreover, one can also try to adjust the screen brightness levels manually to make the display more readable in the normal light environment.  

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A common approach to identifying the sources of risks isO brainstorming O developing a contingency planO evaluatingO elaboration

Answers

The correct answer is  brainstorming a common approach to identifying the sources of risks.

The unplanned presentation of unique concepts and solutions is a key component of the group problem-solving method known as brainstorming. This method calls for a lengthy, rambunctious conversation in which each group member is urged to think aloud and offer as many ideas as they can based on their varied expertise. Using the brainstorming process, several ideas can be generated to deal with a particular problem.The method has been around for more than 70 years and is being employed today to get students involved in a variety of problem-solving activities. There is a fundamental framework to follow when creating brainstorming sessions, however techniques differ.

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Complete each sentence to describe the Excel interface.

Tabs, groups, and commands are found in the
.

Active cell names and contents are found in the
bar.

The file name can be found in the
bar.

Answers

With regard to Microsoft Excel,

Tabs, groups, and commands are found in the Ribbon. Active cell names and contents are found in the Formula bar.The file name can be found in the Title bar.

What is the importance of The Ribbon in Microsoft Excel?

The ribbon in Microsoft Excel is a row of tabs and icons at the top of the Excel window that helps you to easily identify, understand, and execute commands for accomplishing a certain operation.

The ribbon is a command bar at the top of the screen that organizes a program's capabilities into a series of tabs. Ribbon tabs are collections of closely related commands that are meant to assist users in rapidly finding needed instructions.

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Always accept a job offer before discussing its salary and benefits.


Please select the best answer from the choices provided

Answers

This question is incomplete because the options are missing; here is the complete question

Always accept a job offer before discussing its salary and benefits.

Please select the best answer from the choices provided:

True

False

The correct answer to this question is False

Explanation:

Salary and benefits are considered to be the way you are paid for your job and the time you spent on it. Also, salary might vary depending on the complexity of the job, possible risk, knowledge or preparation required, among others. Because of this, the salary and benefits must adjust to the type of job, time, effort, risks, among others. Thus, you should never accept a job before discussing its salary and benefits as you might end being underpaid or you might not receive enough benefits or compensation for the job, which will lead to dissatisfaction.

Answer:

false !!

Explanation:

Give a recursive solution to the following problem. State the requirements for a recursive solution, and justify that your solution satisfies each requirement. Input: int[] nums Output: The sum of the values, i.e., nuns [0] + nums [1] + nums [2] + ...

Answers

The recursive solution to the following problem. State the requirements for a recursive solution, and justify that your solution satisfies each requirement.

Recursion is a procedure that can be repeated over and over. When a process refers to itself, it is known as recursion. Recursion is typically used to resolve issues that may be broken down into simpler or similar subproblems.

For a recursive solution, there are a few criteria that must be met: Stopping criterion – There must be some point at which the recursion ends. The criteria for stopping determine when to halt the recursion. Development towards the end – The procedure must move toward the stopping criterion.

In order to obtain a recursive solution for the problem of adding up values, you may start with the following code:```int sum(int[] nums, int index, int n){if(index == n) return 0; else return nums[index] + sum(nums, index + 1, n);} ```In this code, the sum() function accepts an array, a starting index, and the number of elements in the array. If the starting index is equal to the array's length, 0 is returned; otherwise, the value at the current index is added to the recursive call sum(nums, index + 1, n) of the sum function.

The result is the sum of all of the values in the array. If there is no issue, this recursive solution satisfies the criteria for recursive solutions, which are a stopping criterion and development towards the end.

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Once you upload information in online,Where it is stored in?​

Answers

Answer:

When you upload information online, it is stored on the servers of the website or application you are using. This data may be stored in multiple locations and data centers, depending on the size and scope of the platform. The information you upload may also be backed up onto additional servers or cloud storage services, which may be located in different geographic regions. The data may be secured and protected using various security protocols and practices to ensure the privacy and integrity of your information.

war driving is not a type of wireless piggybacking. T/F

Answers

False. War driving is a type of wireless piggybacking.

What is Wireless piggybacking?

Wireless piggybacking refers to the act of accessing someone else's wireless network without their permission. War driving is a specific form of wireless piggybacking that involves driving around in a vehicle with a wireless-enabled device, such as a laptop or smartphone, to detect and access unsecured or poorly secured wireless networks.

In other words, war driving is a type of wireless piggybacking that involves actively seeking out wireless networks to access, rather than stumbling upon them accidentally. It is important to note that both war driving and wireless piggybacking are illegal without the owner's consent.

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The weather in a particular location is influenced by _______.

Answers

Answer:

the latitude,altitude, and vegetation.

Explanation:

Those are the only ones I can think of right now.

E-books are a popular publishing format that makes online reading convenient and enjoyable. Use online tools and library resources to research
about e-books. Then, write a brief article of about 500 words on the growing trend of e-books. Your answer should also include the pros and cons
of e-books.

Answers

Answer:

Socratic app

Explanation:

it will help you

For safety, the lights on your vehicle must be in good working condition. Which statement about
checking your lights is true?
A: You must check all your lights often, and promptly replace any burned out boys
B: You should check your lights every six months and replace any burned out bulbs.
C: On modern cars, the lights are so reliable that you almost never have to check them,

Answers

Answer:

The answer is B

Explanation:

Explain network representation and how they are used in network topologies

Answers

Answer:

Network topology is the way a network is arranged , including the physical or logical description of how links and nodes are set up to relate to each other.

Which of the following is true of planning and buying TV and radio advertising? O Radio formats appeal to mass audiences, giving it more spillover than TV. O Radio ads are much more expensive to produce than TV ads. O A disadvantage of TV is that it is unable to build awareness quickly. O TV advertising takes up a lesser portion of the IMC budget as compared to radio. O TV is still the best medium to generate excitement around a brand.

Answers

When it comes to planning and purchasing TV and radio advertising, TV is still the strongest medium for generating excitement about a brand.

Which of the following is NOT a benefit of television advertising?

Television gives a transient message with nothing concrete for the audience to scrutinize or think about, which is one of its benefits. For a very long time, advertisers have utilized television commercials to promote their goods and services to customers.

Which of the following is true regarding radio advertising's benefits?

With radio, communications may be customized and regionalized for each intended audience. Advertisers can target particular demographics, psychographics, geographic regions, as well as events and genres within a market.

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File names should be limited to 144 characters.

true or false

Answers

Answer:

True.

Explanation:

For easier recalling of file names and quicker accessibility...

A cheerful teen willing to help,

who listens to "ROAR,"

stay salty...

T/F in some word processing programs, envelopes and labels can be created automatically for letters or other documents that contain a recipient’s address.

Answers

The statement "in some word processing programs, envelopes and labels can be created automatically for letters or other documents that contain a recipient’s address" is true.

What are word processing programs?

A word processor is a type of software application used for the creation and formatting of digital text. It allows you to create and edit documents, letters, reports, and other textual materials.

This application may be used for a variety of tasks, including business communication, academic writing, and personal letter writing. Word processing software can make it simple to format and edit a document, add tables and charts, and create custom fonts and layouts.

Therefore, true, in some word processing programs, envelopes and labels can be created automatically for letters or other documents that contain a recipient’s address.

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Description For your example project, choose from this list of the most influential projects. To create the following, a: 1. Staffing management plan. 2. RACI chart. 3. Schedule with resource assignme

Answers

In the example project, you need to develop a staffing management plan to allocate resources effectively, create a RACI chart for clear roles and responsibilities, and establish a schedule with resource assignments for timely task completion.

In the example project, you will need to develop a staffing management plan, which outlines how the project team will be structured, roles and responsibilities, and resource allocation. This plan ensures that the right people are assigned to the project and have the necessary skills.

A RACI chart is a tool that helps clarify roles and responsibilities by identifying who is Responsible, Accountable, Consulted, and Informed for each task or decision in the project. It helps prevent confusion and ensures clear communication and accountability among team members.

The schedule with resource assignments is a timeline that outlines the project tasks and their dependencies, along with the allocation of specific resources to each task. This schedule ensures that resources, such as people, equipment, or materials, are allocated efficiently and that tasks are completed within the project's timeframe.

By creating these deliverables, you establish a solid foundation for effective project management, ensuring that the right people are involved, roles are defined, and tasks are scheduled appropriately to achieve project success.

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(a) Write a function eval_central_diff(f, a,b,n) that evaluates the derivative of ƒ defined b-a = 1,...,n 1 where h = n on [a, b] using central differences at the point x; = a + ih for i and returns: x_diff central_diff = All partition points where the numerical derivatives are evaluated the value of the numerical derivative evaluated at each point of x_diff (b) Use the function eval_central_diff to evaluate the numerical derivative of the function f (x) sin x² on the interval [0, 27] with n = 10000. The exact derivative is of course df = 2x cos x². Find the absolute value of the maximum difference between the numerical derivative and exact derivative evaluated at the points x_diff.

Answers

Here's the implementation of the `eval_central_diff` function in Python:

python

import numpy as np

def eval_central_diff(f, a, b, n):

   h = (b - a) / (n - 1)

   x_diff = np.linspace(a, b, n)

   central_diff = np.zeros_like(x_diff)

   for i in range(n):

       if i == 0:

           central_diff[i] = (f(x_diff[i + 1]) - f(x_diff[i])) / (2 * h)

       elif i == n - 1:

           central_diff[i] = (f(x_diff[i]) - f(x_diff[i - 1])) / (2 * h)

       else:

           central_diff[i] = (f(x_diff[i + 1]) - f(x_diff[i - 1])) / (2 * h)

   return x_diff, central_diff

Now, let's use this function to evaluate the numerical derivative of the function ƒ(x) = sin(x²) on the interval [0, 27] with n = 10000:

python

import numpy as np

def f(x):

   return np.sin(x*2)

a = 0

b = 27

n = 10000

x_diff, central_diff = eval_central_diff(f, a, b, n)

exact_diff = 2 * x_diff * np.cos(x_di2)

max_difference = np.max(np.abs(central_diff - exact_diff))

print("Absolute value of the maximum difference:", max_difference)

The exact derivative of ƒ(x) = sin(x²) is given by df = 2x * cos(x²). We compare the numerical derivative obtained using the `eval_central_diff` function with the exact derivative at each point in `x_diff`. The maximum absolute difference between the numerical derivative and the exact derivative is calculated using `np.max(np.abs(central_diff - exact_diff))`.

The result will provide the absolute value of the maximum difference between the numerical derivative and the exact derivative evaluated at the points in `x_diff`.

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Who watches Riverdale ? if you do can we be friends(pLEASE DON'T DELETE) and also who is your fav character from Riverdale

Who watches Riverdale ? if you do can we be friends(pLEASE DON'T DELETE) and also who is your fav character
Who watches Riverdale ? if you do can we be friends(pLEASE DON'T DELETE) and also who is your fav character
Who watches Riverdale ? if you do can we be friends(pLEASE DON'T DELETE) and also who is your fav character
Who watches Riverdale ? if you do can we be friends(pLEASE DON'T DELETE) and also who is your fav character
Who watches Riverdale ? if you do can we be friends(pLEASE DON'T DELETE) and also who is your fav character

Answers

Answer:

I have watched it before

Answer:

my fav is veronica lol

Explanation:

Which of the following statements represents a scientific bias?


Clean all containers to remove residue from the previous steps.

Use data from the previous steps because they show better results.

Make sure to follow every step in the procedure.

The scale needs to be calibrated to ensure accuracy.

Answers

Answer: Use data from the previous steps because they show better results

Explanation:

A scientific bias occurs when there's a deviation between the observations of a researcher and the accurate representation of data and results.

In this case, the use of data from the previous steps because they show better results will bring about a data bias as it'll lead to inaccuracies of the data being represented.

Read the regular price of an item. Compute discount at 20% of regular price and also the item's new discounted price. Prince the discount amount and the discounted price

Answers

Say the item costs $10.

A 20% discount would be $2, making it $8 total.

Regular Price: $10

Discount Amount: $2 (20%)

Discounted Price: $8

One of the distinguishing characteristics of computer-based fraud is that access occurs ________________________. A. Through the Dark Web where the value of the stolen funds can be stored on hidden servers B. In violation of computer internal controls whether by management override or other means C. With the intent to execute a fraudulent scheme or financial criminal act D. When a hacker or virus successfully bypasses the firewall protecting financial data

Answers

Answer:

Option A, Through the Dark Web where the value of the stolen funds can be stored on hidden servers

Explanation:

Content that is available on dark web can not be detected by search engines specially through the traditional browsers or standard browsing technology. Along with that it has tens of thousands of sites and at a time only  certain limited number of sites are available.

Money related frauds are basically driven by this dark web. Criminal enterprises determine personal details through various means and hence can derive your credentials and financial details. The criminal portions of the dark web makes trade in fraudulent information easy and accessible

Hence, option A is correct

Describe, with examples, the way in which a defect in software can cause harm to a person, to the environment, or to a company

Answers

Answer:

Losing jobs. Fire. Destruction of property.

Explanation:

Having a company shut down due to lack of protection and having people testify products unsafe. If software blows up it could cause desturction of property therefore causing the effect of many people losing their jobs.

algorithm and flowchart and c program to display sum of 5 different number​

Answers

The algorithm and flow chart and c program to sum of 5 different number is given below.

Describe C programming?

C is a compiled language, which means that programs written in C must be compiled before they can be run. This compilation process produces machine code, which is the code that can be executed by a computer. Because of this, C programs can be very fast and efficient.

One of the strengths of C is its ability to work with memory directly through pointers. Pointers are variables that store memory addresses, allowing the programmer to manipulate the data at that address. This can be useful in low-level programming tasks, such as working with hardware or writing device drivers.

Here's the algorithm to display the sum of 5 different numbers:

Declare a variable sum and initialize it to zero.Prompt the user to enter the first number and store it in a variable.Add the value of the first number to the sum variable.Repeat steps 2-3 for the second, third, fourth, and fifth numbers.Output the value of the sum variable.

Here's the flowchart for the same:

          Start

             ↓

Initialize sum = 0

             ↓

Prompt user for first number

             ↓

Add first number to sum

             ↓

Prompt user for second number

             ↓

Add second number to sum

             ↓

Prompt user for third number

             ↓

Add third number to sum

             ↓

Prompt user for fourth number

             ↓

Add fourth number to sum

             ↓

Prompt user for fifth number

             ↓

Add fifth number to sum

              ↓

Output sum

               ↓

            End

Here's the C program to display the sum of 5 different numbers:

#include <stdio.h>

int main() {

   int num1, num2, num3, num4, num5, sum;

   printf("Enter the first number: ");

   scanf("%d", &num1);

   printf("Enter the second number: ");

   scanf("%d", &num2);

   printf("Enter the third number: ");

   scanf("%d", &num3);

   printf("Enter the fourth number: ");

   scanf("%d", &num4);

   printf("Enter the fifth number: ");

   scanf("%d", &num5);

   sum = num1 + num2 + num3 + num4 + num5;

   printf("The sum of the numbers is %d\n", sum);

   return 0;

}

This program prompts the user to enter 5 different numbers, stores them in variables, calculates their sum, and outputs the result.

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111×11 number system multiplication​

Answers

Answer:

11x11=121

Explanation:

Find values of $a$, $b$, and $c$ so that the program:
1. a = # fill in
2. b = # fill in
3. c = # fill in

4. for i in range(a,b,c):
5. print(i, end=' ')

outputs:
6 10 14 18 22 26 30

Answers

We can get started by looking at the output value pattern. We can see that the output is made up of multiples of 4, with a common difference of 4, ranging from 6 to 30 (inclusive).

How can you determine a list's range in Python?

When range() is used, the list of even numbers in the input range is returned. With the start, stop, and step parameters set to 2, 20, and 2, respectively, range() will increase the values by 2 and produce even integers up to stop-2.

What does Python's range Len ()) do?

One of the built-in functions in Python is len(). It returns an object's length. It can, for instance, return the quantity of items in.

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Can anyone please help me on these two questions it would really help xxx

Can anyone please help me on these two questions it would really help xxx

Answers

Answer: No one can interpret or hack it.

Explanation:

Because there is nothing to hack.

take it from someone who hack their teachers laptop as a dare. It was so easy.

The Event Viewer (Microsoft Windows) or Console (Apple Mac OS X) is used for what purpose?
to view and manage events scheduled in one or more user calendars
to configure system security features such as firewalls and antivirus scanners
to view incidents recorded in the Application, Security , and System logs
to manage user names and passwords on a network

Answers

Answer: Its C

Explanation:

The Event Viewer is a practical heritage feature in Windows 10 that collects event logs from programs and system components into a simple structure that you can then examine to diagnose and repair software or hardware issues with your computer. Thus, option C is correct.

What Event Viewer role in Microsoft and macOS?

A monitoring application called Microsoft Windows Server Event Viewer displays a log of events and can be used to diagnose problems on Windows-based systems. Information concerning application-related, security-related, system-related, and setup events is shown in the Event Viewer.

Crescendo is a real-time event viewer for macOS that leverages the ESF to display process executions and forks, file events, share mounting events, kernel extension loads, and IPC event data.

Therefore, to view incidents recorded in the Application, Security , and System logs is used for purpose.

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Discuss how human-centered design assists with the development of Artificial Intelligences supporting employees. Need Current references with active links

The prior answer was WRONG

Answers

Human-Centered Design in Developing AI for Employee Support

How does human-centered design assist with the development of Artificial Intelligences supporting employees?

Human-centered design (HCD) is a methodology that prioritizes the needs, preferences, and experiences of users throughout the design and development process. When applied to the development of AI systems supporting employees, HCD ensures that the technology is tailored to meet their specific needs, enhances their work experience, and aligns with their goals.

HCD involves conducting user research, engaging in iterative design processes, and soliciting feedback from employees to understand their challenges, pain points, and aspirations. This data is used to inform the development of AI systems that provide relevant, intuitive, and personalized support to employees.

By employing HCD principles, organizations can create AI tools that augment human capabilities, automate repetitive tasks, and offer valuable insights, ultimately improving employee productivity and job satisfaction. Additionally, HCD helps address ethical considerations, such as transparency, privacy, and bias, ensuring that AI technologies are fair, trustworthy, and respectful of employee rights.

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which of the following would be the device file for the third partition on the second sata drive on a linux system?
a. /dev/sdc2
b. /dev/sdb3
c. /dev/hdb3
d. /dev/hdc2

Answers

On a Linux system, /dev/sdb3 is the device file for the third partition on the second SATA drive. Option B is correct.

What is Linux system?

Linux is a defined as a  free and open source operating system (OS). An operating system is the software that directly manages the hardware and resources of a system, such as the CPU, storage, and memory.

Linux is a modern, free operating system based on UNIX standards. It was created in 1991 as a small but self-contained kernel by Linus Torvalds, with the primary design goal of UNIX compatibility. The device file for the third partition on the second SATA drive on a Linux system is /dev/sdb3.

Therefore, option B is correct.

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Seeing her Daughter graduate from college is most likely a short term goal for a person of which of these ages ? A) 24 years old , b) 4 year old , c) 54 years old , d) 14 years old

Answers

c because you can’t graduate at 4 or 14 and if your kid is graduating when you’re 24 then that means you have birth at 7 years old which isn’t possible.

Answer:

54

Explanation:

at 4 years old you're a child. At 14 you're worried about a partner or grades. 24 is around the age you have a baby.

Other Questions
Rita got a prepaid debit card with $20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was cents per yard. If after that purchase there was $16.62 left on the card, how many yards of ribbon did Rita buy? For a school project, Leonis making a model of the staue of liberty. He is using a scale of 2 cm : 3 m. The Statue of Liberty is 93 meters tall. How yall is Leo's model? In three to four sentences, explain how repetition affects the story told in this part of Gilgamesh. Evaluate tile function when X = -3, 0, and 4.g(x) = -5x +-7 What landform is created when two continental plates push together at a convergent boundary. Pls help me4(3-x)=6(x+2)+20 Maddox is creating a training manual for his department. He wants to show the six-step procedure needed to fill a standard customer order. What type of visual should maddox use to illustrate his written explanation?. The quadratic function h= -0.01 x + 1.18 x + 2 models the height of a punted football. The horizontal distance in feet from the point of impact with the kicker's foot is x , and h is the height of the ball in feet.c. Suppose the ball was not blocked but continued on its path. How far down the field would the ball go before it hit the ground? Alcohols: SN2 reaction of 1-bromobutane and EtoNa 12 of 19 Review Constants Periodic Table Part A Predict the major organic product formed when the compound shown below undergoes a reaction with EtONa. Br Verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal to the curve at the given point. x^2 + y^2 = 25, (4, 3) The point is on the curve because when is substituted for x and is substituted for y, the resulting statement is = 25, which is a statement. (Simplify your answers.) When the insured reinstates a life insurance policy, all of the following must be done: Pay all past-due premiums; Pay any back-due interest on outstanding policy loans; and provide proof of insurability.Surrender or cancel the policy within 10 years of the reinstatement date Which of the following is NOT a perfect square trinomial?Group of answer choices^2+201004^220+25^2+18+8116^224+9^2 At the movies, Jill and Carly each buy abox of gummy candy. Carly eats 3 gummiesevery 15 minutes during the movie. Thenumber of gummies Jill has left based on theamount of time is shown in the graph below.mileat. The or nurse acts in the circulating role during a client's scheduled cesarean section. for what task is this nurse solely responsible? Why does the poet use the extended metaphor of the caged bird in his poem "Sympathy"? What does this metaphor represent? What is its purpose in the poem? Write a brief informative/explanatory essay that explains how this extended metaphor affects the meaning and tone of the poem. How does it help to develop the theme? Begin with a clear topic sentence, and show a clear progression of ideas. Include information about how the poet's word choice, including his use of figurative language and connotations, impacts the meaning and tone of the poem. Cite specific textual evidence in your response.!!!!!PLEASE HELP ME!!!! PROJECT I: EXPANDING KNOWLEDGEYou are a businessman engaged in a restaurant business. Your restaurant is located in a populated part of the town and is doing pretty well but you want to improve it by attracting more customers through honest and fair methods.Make your plan of action. First list down the strategies you are presently doing and evaluate each. Then list down what you plan to do in detail and explain why you think it will work. When you run your Windows Form application, what is the lifespan of a global variable (also known as a "field" or "class" variable)? why were strong words important to the founding fathers? the ul for folate refers only to folic acid because bernice is conducting a study on how homelessness affects mental disorders. her study was conducted with no errors and the research would be clearly helpful to many people. during the study, bernice appeared repulsed by her subjects and wore gloves and a face mask when interacting directly with them.