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.