Category: Mathematics

use the Reductio ad Absurdum method to proof questions in the proof checker. here is the proof checker you need to use. https://proof-checker.org/
hello , here is link of the questions google docs
..https://docs.google.com/document/d/1i2R-3S0m62Qv7D

There are many factors to consider when comparing job offers – the salary and benefits, the taxes, the
cost of living, the cost of leaving, and other costs incurred by taking the new job. Here are three job
offers for similar types of work for which you are eminently qualified. You currently hold the job in
Silicon Valley, but you are considering choosing the offers elsewhere.
Location Silicon Valley, CA Seattle, WA Austin, TX
Salary Offer $250K $200K $150K
Retirement Benefits 8% contributed by
employer
6% contributed by
employer
7% contributed by
employer
Other Benefits Stock option worth
$200K
Tax Rate 13% 12% 7%
Cost of Living 60% above national
average
40% above national
average
20% above national
average
Cost of Leaving Not vested yet. You
lose 4 years of
retirement accrued
To break the contract
will cost $50,000
penalty.
Not vested yet. You
lose the stock option.
Relocation Costs Up to $10,000
reimbursed
Up to 4% of salary Compensated an
amount of $3000
You currently spend around $6000 per month in living expenses; you would live a similar lifestyle
wherever you work. Project your total earning for five years into the future whether you stay put or
take one of the other job offers. Which scenario provides the greatest accumulated earnings after five
years?

I have attached the instructions below. If you have any questions please let me know. Thank you for your service.

I have attached the instructions below. If you have any questions please let me know. Thank you for your service.

Hi,Please use the attached word feed back file from my Instructor as guidelines to answer the assignment questions.
thank you

Introduction
The virus that causes COVID-19 (coronavirus disease 2019) is just one member of the coronavirus family of viruses, and not the first to have caused a pandemic. In 2003, another coronavirus caused a pandemic of a disease called SARS (severe acute respiratory syndrome) that resulted in about 770 deaths in 29 countries (none in the United States). This was far fewer than the global deaths from COVID-19, which were in the millions.
Discussion Question
Use your critical thinking skills to answer the following questions, which compare the two pandemics.
Most people infected with the SARS virus showed symptoms of the disease soon after they were infected. In contrast, up to half of those infected with the COVID-19 virus never showed symptoms. Explain why this difference made the COVID-19 pandemic harder to track and control than the SARS pandemic.
Consider these two measures of a disease: (1) the incubation period, which is the time between when a person shows symptoms, and (2) the latent period, which is the time between when a person becomes infected and when that person becomes infectious. For SARS, the latent period is longer than the incubation period, but the reverse (incubation period is longer than the latent period) was true for the original form of COVID-19. Explain why this difference made the COVID-19 pandemic harder to track and control than the SARS pandemic.
Consider two more measures of a disease: (1) the fatality rate, which is the percentage of people who die after being infected with a particular disease, and (2) the initial reproduction number (R), which is the average number of people that one infected person will infect. The SARS and COVID-19 viruses both had roughly the same initial R value, meaning that both diseases are about equally contagious in the absence of any population immunity or steps taken to slow the disease spread. However, SARS had a much higher fatality rate, killing an estimated 11% of infected people (and doing so fairly quickly), compared to less than 1% for COVID-19. Is it possible that because SARS was deadlier it was less likely to cause a large pandemic? Explain.
Discussion Forum Instructions
Discuss each question thoroughly and engage with your peers to better understand each topic.
Your initial post should be at least one well-developed paragraph or a video as specified by your instructor, where you deliver a well-crafted response (minimum of 200 words)
Reply to a minimum of one peer to start the discussion.
Each reply post (peer response) requires a well-developed paragraph (minimum of 100 words).
Each post (original and reply) must demonstrate your understanding of the topic.
Review the Discussion Rubric for specific details.

A particle moves along a straight line with its position at time ( t ) given by the equation ( s(t) = 3t3 – 12t2 + 9t + 5 ), where( s(t) ) is the position in meters and
( t ) is the time in seconds.
(a)Determine the velocity of the particle at any time ( t ). (5 marks)
(b) Find the acceleration of the particle at any time ( t ). (5 marks)
(c)At what time(s) is the particle at rest? (5 marks)
(d) Determine the total distance traveled by the particle during the first 4 seconds. (5 marks)

use excel worksheet to complete the homework questions. I have included the figures 9.3 and 9.4 as well as 9.17 and 9.18

**15. P2:**
a) Show that the solutions of the equation (x^2 – 6x – 43 = 0) can be written in the form (x = p pm frac{qsqrt{13}}{13}), where (p) and (q) are positive integers.
(4 points)
b) Based on the above or any other method, solve the inequality (x^2 – 6x – 43 le 0).
(2 points)
**16. P1:**
A function (f) is defined by (f(x) = 3(x-1)^2 – 18), (x in mathbb{R}).
a) Write (f(x)) in the form (ax^2 + bx + c), where (a), (b), and (c) are constants.
(2 points)
b) Find the coordinates of the vertex of the graph of (f).
(1 point)
c) Find the equation of the axis of symmetry of the graph of (f).
(1 point)
d) Indicate the range of (f).
(2 points)
e) The graph of (f) is translated by the vector (begin{pmatrix} 2 \ -1 end{pmatrix}) to form a new curve that represents a new function (g(x)).
Find (g(x)) in the form (px^2 + qx + r), where (p), (q), and (r) are constants.
(3 points)
**17. P1:**
a) Solve the equation (8x^2 + 6x – 5 = 0) by factorization.
(2 points)
b) Determine the range of values of (k) for which the equation (8x^2 + 6x – 5 = k) has no real solutions.
(3 points)
**18. P1:**
Consider the function (f(x) = -x^2 – 10x + 27), (x in mathbb{R}).
a) Show that the function (f) can be expressed in the form (f(x) = a(x-h)^2 + k), where (a), (h), and (k) are constants.
(3 points)
b) Based on the above, write the coordinates of the vertex of the graph of (y = f(x)).
(1 point)
c) Based on the above, write the equation of the axis of symmetry of the graph of (y = f(x)).
(1 point)
**19. P1:**
The quadratic curve (y = x^2 + bx + c) cuts the x-axis at ( (10, 0) ) and has the equation of the line of symmetry (x = frac{5}{2}).
a) Find the values of (b) and (c).
(4 points)
b) Based on the above, or any other method, find the other two coordinates where the curve intersects the y-axis.
(2 points)
**20. P1:**
Consider the function (f(x) = 2x^2 – 4x – 8), (x in mathbb{R}).
a) Show that the function (f) can be expressed in the form (f(x) = a(x-h)^2 + k), where (a), (h), and (k) are constants.
(3 points)
b) The function (f(x)) can be obtained through a sequence of transformations of (g(x) = x^2). Describe each transformation in order.
(3 points)
**21. P1:**
Consider the equation (f(x) = 2kx^2 + 6x + k), (x in mathbb{R}).
a) For the case where the equation (f(x) = 0) has two equal real roots, find the possible values of (k).
(4 points)
b) For the case where the equation of the axis of symmetry of the curve (y = f(x)) is (x + 1 = 0), find the value of (k).
(2 points)
c) Solve the equation (f(x) = 0) when (k = 2).
(3 points)
**22. P1:**
A curve (y = f(x)) passes through the points with coordinates (A(-12, 10)), (B(0, -16)), (C(2, 9)), and (D(14, -10)).
a) Write the coordinates of each point after the curve has been transformed by (f(x) rightarrow f(2x)).
(4 points)
b) Write the coordinates of each point after the curve has been transformed by (f(x) rightarrow f(-x) + 3).
The homework is in Spanish I’m going to download the picture for you but this is the translation.

solve three questions and give explanation in each question. Afterthat,I want you to give me a script for each question as paragraph regarding what we did from first to end.