After studying Module 5: Lecture Materials & Resources, discuss the following

 
After studying Module 5: Lecture Materials & Resources, discuss the following

 
After studying Module 5: Lecture Materials & Resources, discuss the following:
In the 1939 movie The Wizard of Oz, upon being presented with a Th.D. (Doctor of Thinkology), the Scarecrow proudly exclaims, “The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side.” Did the Scarecrow get the Pythagorean Theorem right? In particular, describe the four errors in the Scarecrow’s statement.  Your initial post should be at least 200 words/numbers or a combination of both 

1.(10 points) Given the following system of linear equations 4 3 14 16 4 2 7 8

1.(10 points) Given the following system of linear equations
4
3
14
16
4
2
7
8

1.(10 points) Given the following system of linear equations
4
3
14
16
4
2
7
8
2
3
2
3
2
1
3
2
1
=
+
=
+
+
=
+
+
x
x
x
x
x
x
x
x
(a) Solve the following system of equations by performing elementary row operations on
the augmented matrix.
(b) Based on your answer for (a) what can you say about the invertibility of the
coefficient matrix? Justify your answer.
2. (10 points) Consider the linear system (where  and  are constants):
3
4
3
2
1
3
=
+
+

=
+
+
=
+
+
z
y
x
z
y
x
z
y
x


Find conditions on  and/or  such that:
(a) The system has a unique solution.
(b) The system has no solution.
(c) The system has infinitely many solutions.
3.(30 points) Construct a consumption matrix for an open productive economy consisting of
three sectors. Use the Leontief Input-Output Model to show that the economy is productive. Do
Provide the written explanation for question 3 for presentation 

  After studying Module 4: Lecture Materials & Resources, discuss the following

 
After studying Module 4: Lecture Materials & Resources, discuss the following

 
After studying Module 4: Lecture Materials & Resources, discuss the following:
Give two examples that illustrate the difference between a simple interest problem and a compound interest problem. Your initial post should be at least 200 words/numbers or a combination of both. Your initial post is worth 60 points.
Additional readings must be cited, and formatted in the current APA style.
You should respond to at least two of your peers by extending or adding supplementary distinctions to their posts. 

  Overview The Exploration and Exploration Discussion provide you with practica

 
Overview
The Exploration and Exploration Discussion provide you with practica

 
Overview
The Exploration and Exploration Discussion provide you with practical motivation, and insight into common application areas.
Instructions
Within the Module 1 Exploration, after reading through the Exploration tabs, and checking your knowledge in the Check Understanding tab, click on the Discuss! tab. Choose one of the applications, and one of the numbered Discussion Topics for that application to explore with your classmates.
Instructions for Exploration Post
Create a thread that answers the question(s) posed in the Discussion Topic to the best of your ability. Provide as much detail as possible.
Title your thread with the name of the application and the number of the Discussion Topic (e.g. Interpolating Polynomials, Discussion Topic #3), and restate the Discussion Topic at the top of your post.
Take part in the resulting discussions for this Discussion Topic, and at least one other Discussion Topic from your chosen Application, or from one of the other Applications. You must have at least one main post , and at least two other substantive discussion posts to satisfy the requirements for this Exploration Discussion.
See the Schedule in the Syllabus and Schedule Module for due dates and the Rubric attached to this Discussion for grading information.

  ead and watch the lecture resources & materials below early in the week to he

 
ead and watch the lecture resources & materials below early in the week to he

 
ead and watch the lecture resources & materials below early in the week to help you respond to the discussion questions and to complete your assignment(s).
(Note: The citations below are provided for your research convenience. You should always cross-reference the current APA guide for correct styling of citations and references in your academic work.)
Read
Miller, C., Heeren, V.E., Hornsby, J., & Heeren, C. (2020). Mathematical ideas (14th ed.). Pearson. 
eTextbook ISBN: 9780136881292

Basic Set Concepts
Subsets
Venn Diagrams and Set Operations
Statements, Negations, and Quantified Statements
Truth Tables

As part of your readings in this module, please also review the following:

Syllabus
APA and Research GuidesLinks to an external site.

Watch

Basic Set Concepts (12:30)
St. Thomas University. (2023). Basic set concepts [Video]. Subsets (4:47)
St. Thomas University. (2023). Subsets [Video]. 
 Venn Diagrams and Set Operations (12:30)
St. Thomas University. (2023). Venn diagrams and set operations [Video].
 
 Statements, Negations, and Quantified Statements (5:09)
St. Thomas University. (2023). Statements, negations, and quantified statements [Video].
 Truth Tables for Negation (2:56)
St. Thomas University. (2023). Truth tables for negation [Video].
 Describe what is meant by the intersection and union of two sets. Give an example of each  Your initial post should be at least 200 words/numbers or a combination of both .  
Additional readings must be cited, and formatted in the current APA style.
You should respond to at least two of your peers by extending or adding supplementary distinctions to their posts

 Homework: A plane departs from an airport at the coordinates (2,3) and heads to

 Homework:
A plane departs from an airport at the coordinates (2,3) and heads to

 Homework:
A plane departs from an airport at the coordinates (2,3) and heads towards another airport at the coordinates (10,8). Your task is to determine the equation of the flight path.
Find the slope of the line representing the flight path using the given coordinates.
Write the equation of the line in the slope-intercept form (y = mx + b).
Explain the significance of each component in the equation in relation to the plane’s flight path.
Ensure that your solution includes all the necessary calculations and a brief explanation of each step.
Found the answer on this website https://apostaaviator.com.br/, but I’m not sure if it’s correct.