Given the relation R = {(n, m) | n, m ∈ ℤ, n ≥ m}. Which of the following statements about R is correct?

A liquid stream ,F, containing A and B is fed to a distillation column.

• Given:
• Mole fraction of A in the feed is 0.650.65
• A is the more volatile component
• The q-line equation is y=1.3461538461538x+1.525
• The distillate mole fraction is 0.9; The reflux ratio, R,=3.1

If the rectification operating equation is of the form y = mx + b (in terms of the more volatile component):
1) What is the slope, m, of the rectification operating line? (Correct answer is 0.75610)
2) What is the intercept, b, of the rectification operating line? (Correct answer is 0.21951)
3) What is the intersection of the feed and rectification operating lines, x , y? (Correct answer is 0.620995, 0.689045)

*The correct answers are there please show work on how to get the answer given*

Complete the following recursively defined functions.

Base case ?(0)=3

Recursive case ?(?) = 3?(? − 1) + 7 for n ≥ 1.

?(1) = ______

f(2) = _______

f(3) = ______

f(4) = ______

Base case ?(0)=1, ?(1)=2

Recursive case ?(?) = ?(? − 1)?(? − 2) for n ≥ 2.

g(2) = ______

g(3) = ______

g(4) = ______

g(5) = ______

Sara’s Salsa Company produces its condiments in two types: Extra Fine for restaurant customers and Family Style for home use. Salsa is prepared in department 1 and packaged in department 2. The activities, overhead costs, and drivers associated with these two manufacturing processes and the company’s production support activities follow.

Additional production information about its two product lines follows.

Required:
1. Using a plantwide overhead rate based on cases, compute the overhead cost that is assigned to each case of Extra Fine Salsa and each case of Family Style Salsa. PLANT OVERHEAD RATE ? $___ PER CASE
2. Using the plantwide overhead rate, determine the total cost per case for the two products if the direct materials and direct labor cost is $6 per case of Extra Fine and $5 per case of Family Style. EXTRA FINE ___ PER UNIT.. FAMILY STYLE ___PER UNIT
3.a. If the market price of Extra Fine Salsa is $17 per case and the market price of Family Style Salsa is $8 per case, determine the gross profit per case for each product. EXTRA FINE ____ FAMILY STYLE ____
3.b. What might management conclude about the Family Style Salsa product line?

5. If the market price is $17 per case of Extra Fine and $8 per case of Family Style, determine the gross profit per case for each product. (Round your intermediate calculations and final answers to 2 decimal places.

Using C++

If you have 2 plants (A and B) with the hight of plant A is less than the hight of plant B. However, the hight of plant A is growing faster than the hight of plant B (the hight is measured in centimetres and the hight growth rate is matured daily). Write a program that prompts the user to enter the hight and the hight growth rate of each plant. The program should check that the hight of plant A is less than the hight of plant B and that the growth rate of plant A is higher than the growth rate of plant B and it should not work otherwise. The program outputs after how many days the hight of plant A will be greater than or equal to the hight of plant B, and the hight of both plants at that time.

A sample input and output is as follows:

First Run:

Enter the hight of plan A (in centimetres): 26

Enter the hight growth rate of plant A: 0.04 Enter the hight of plant B: 25

Enter the hight growth rate of plant B: 0.02

Plant A hight should be less than plant B hight and plant A growth rate should be higher than plant B growth rate.

Second Run:

Enter the hight of plan A (in centimetres): 22

Enter the hight growth rate of plant A: 0.04

Enter the hight of plant B: 25

Enter the hight growth rate of plant B: 0.02

The hight of plant A will be greater than or equal to the hight of plant B after 7 days.

Plant A hight will become 28.9505

Plant B hight will become 28.7171

Justify the statement “Spam detection is perhaps the classic example of pattern recognition”.

Question1: Define a class Human that contains: - The data fields "first name" and "last name" - A constructor that sets the first and last name to the instance variables. Create also a no-argument constructor - A getName() method which prints the first and last name Define the class Student which inherits Human and contains: - Private data field "mark" of type integer and a constructor which calls the superclass constructor Define the class Worker which inherits Human and contains: - Private date fields "wage" and "hours worked", and a constructor which calls the superclass constructor - A setWageInfo() method which sets the wage information to the instance variables - A calculateWage() method which calculates a worker’s salary based on wage and hours worked Write a program called HumanTest that instantiates two Human objects (one using the noargument constructor and another using the constructor with parameters). Call the method getName(). Create a Student object which calls the getName() method. Create a Worker object which calls the methods getName(), setWageInfo(), and claculateWage().

16. Explain the concept of Globalization Strategy and provide real examples.

17. Explain the concept of Service Technology and provide examples.

18. Explain the concept of Virtual Network Structure and provide examples.

19. Explain the difference between the concepts of Business Management and Technology Management. Provide examples.

20. Concepts such as ‘civic responsibility,’ ‘social responsibility;’ what do they have in common? Provide examples.

Prepare an ONE Page Reflection on Perceiving Depth and Size

Consider the different grief models and Bonanno's book, what are some things you can do/think or not do/think that will improve your chances of having a resilient response to the loss.

Paul plays video games only with his young daughter and never alone. For this reason, he always buys exactly two controllers with each purchase of a new gaming console. Otherwise he does not get any utility from owning consoles or controllers.

f) Find the Total, Income and Substitution effect on consoles, associated with the price decrease in consoles. Provide the economic interpretation behind your results. g) Find the Total, Income and Substitution effect on consoles, associated with the price decrease in consoles. Provide the economic interpretation of your results. h) Find the Total, Income and Substitution effect on controllers, associated with the price decrease in consoles. Provide the economic interpretation of your results. i) Verify that the Slutsky equation holds for both goods.