This is a graded discussion: 100 points possible due Dec 11Module 3 Discussion:

This is a graded discussion: 100 points possible
due Dec 11Module 3 Discussion: Interpreting Lines5252 unread replies.5252 replies.Module3Interpreting LinesDiscussion
Please read through all sections before proceeding to the next page and refer back whenever necessary.
IntroductionStudy the following graph containing three lines labeled A, B, C. Consider what you learned about points, slopes, and lines in Module 2 and in the readings for this module week.
X and Y axis graph with lines labeled A, B, and C. 
The first letter of your last name as it appears on the official roll determines which line you will use for your initial post. Each reply will be posted to initial posts made by peers on of the other lines.Last name A – N: will make an initial post on the line labeled A.Last name O – S: will make an initial post on the line labeled B.Last name T – Z: will make an initial post on the line labeled C.
Please proceed to the Initial Post section.
Initial PostFor your initial post, respond to the following prompts.
State any two reasonable points as ordered pairs for your assigned line. Since there are numerous solutions, no two posts are likely to be the same.Explain the slope of a line as a rate of change using points of the form (x, y).State the general slope formula using the equation editor.Use the formula showing all steps to compute the slope. Based on your computed result, explain your slope in words. Is this the answer you expected? Why or why not?Write the equation of your line showing any necessary steps.Submit your initial post to the discussion by the fourth day of the module week. You must make your initial post before you can see your classmates’ posts.
Please proceed to the Response Prompts section.
Response PromptsRead a selection of your classmates’ postings and reply to two who wrote an initial post on different lines (A, B, C) than you. Your replies should address all parts of the prompt. Note that once are complete, you should have worked with all three lines (A, B, C) in your three separate posts. Your replies should address all parts of the prompt and be completed by the seventh day of the module week.
Reply 1Respond to at least one classmate’s initial post by answering the following:
State their two points and equation.In your own words, what does it mean for a point to be an x-intercept? How do you know this? Is either of your classmate’s points an x-intercept? If so, state it. If not, give an x-intercept (if possible) for their line as an ordered pair. Explain or use their equation to verify your answer(s).In your own words, what does it mean for a point to be a y-intercept? How do you know this? Is either of your classmate’s points a y-intercept? If so, state it. If not, give a y-intercept (if possible) for their line as an ordered pair. Explain or use their equation to verify your answer(s).Reply 2Respond to a different classmate’s initial post by answering the following:
State their two points and equation.In your own words, what does it mean for lines to be parallel? Use words and/or variables in your response. Write an equation of a different line that is parallel to their line.State the slope (if possible) of a line perpendicular to their line. How did you find this slope? Note: You do not need to write an equation.Review the Discussion Rubric for detailed grading information.
Please proceed to the Why? section.
Why?General Education CompetenciesCritThink icon.jpgCritical ThinkingThe student will apply knowledge at the synthesis level to define and solve problems within professional and personal environments.
 
 
Quantitative ReasoningQuantitative ReasoningThe student will demonstrate the use of digitally enabled technology (including concepts, techniques, and tools of computing), mathematics proficiency and analysis techniques to interpret data for the purpose of drawing valid conclusions and solving associated problems.

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Question 6 1 point In chemistry the volume for a certain gas is given by V=25TV=

Question 6
1 point
In chemistry the volume for a certain gas is given by V=25TV=25T, where VV is measured in cc and TT is temperature in °C°C. If the temperature varies between 90°C90°C and 110°C110°C , find the set of volume values.
Enter the exact answer in interval notation.
To enter ∞∞, type infinity. To enter ∪∪, type U.
Do not enter any commas in your answer.
The range of the volume is     cc.
Question 7
1 point
Describe all the xx-values within or including a distance of 44 units from the number 88.
Enter your answer in interval notation.
To enter ∞∞, type infinity. To enter ∪∪, type U.
Question 8
1 point
Write the set in interval notation.
{x|−4<x≤8}x|−42x−3−3x−4x−1+2>2x−3−3x
Enter the exact answer in interval notation.
To enter ∞∞, type infinity. To enter ∪∪, type U.
Question 12
1 point
Solve the inequality involving absolute value.
|x−3|+4≥10x−3+4≥10
Enter the exact answer in interval notation.
To enter ∞∞, type infinity. To enter ∪∪, type U.
Question 13
1 point
Solve the compound inequality.
2x−8<−142x−8x−20−3x+4>x−20
Enter the exact answer in interval notation.
Question 20
1 point
Solve the compound inequality.
−5<2x+3≤30−5<2x+3≤30
Enter the exact answer in interval notation. Improper fractions are acceptable in the interval notation.

(1) The Set A ={11k+8|k∈Z},B={4m|m∈Z}and C = {11(4n + 1) − 3|n ∈ Z} are given. P

(1) The Set A ={11k+8|k∈Z},B={4m|m∈Z}and C = {11(4n + 1) − 3|n ∈ Z} are given.
Prove that A ∩ B = C.
(2) Given f(x) = x3+2×2+x, find the domain, range, behaviour x2 −x−2
of f(x) and hence sketch the graph of the function.
(3) Determine the values of the real parameter m for which the set A = {X ∈ R|(m−1)x2 −(3m+4)x+12m+3 = 0} has:
(a) one element (b) two elements
(c) has no element.

Add in the blanks in week 1 project. Use Trig Project guidelines for help, it’s

Add in the blanks in week 1 project. Use Trig Project guidelines for help, it’s an example. 
Tasks:
First, pick your city. Then use this website to find the weather data from every month. You will track the monthly high AND low temperatures and graph both. 
Take your 24 values and put them into a Google Sheets file. You will graph your weather patterns using Google Sheets for average low temperatures and average high temperatures. Your x-axis should be each month (so, time, t), and your y-axis should be a reasonable scale for you to properly assess your temperatures. 
Then you will have to use your plotted points to write a sine or cosine function that best represents the climate of your chosen city. Keep in mind that I have provided you with equations for amplitude and the principle axis. Those might just come in handy, especially when you’re working with less than perfect scenarios. 🙂 
You will write a minimum 5 sentence summary (full sentences) explaining your experience with this project. Feel free to include some explanations of your work that you felt may not be correct, things you struggled with, things you felt were helpful, etc. Remember, you have access to the sentence stems document to help you. 🙂  

solve for α in the oblique triangle ABC; AB = 30; AC = 15, and angle B = 20° typ

solve for α in the oblique triangle ABC; AB = 30; AC = 15, and angle B = 20°
type out the two equations substituting the numbers from the diagram.
First, type out the Law of Sines set of relationships.
Next, type out the most appropriate version to use the Law of Cosines for this solution.
Write both equations and make a prediction of which method will be easier to use in finding a solution and why you think that is the case.