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A construction company has an opportunity to submit a bid for the construction of a new apartment building. From the specification provided by the developer, the PERT network along with the three time estimate (in week) for each activity as shown in figure-1.



The following sample observations were randomly selected:

X. 4. 5. 3. 6. 10

Y. 4. 6. 5. 7. 7

determine the correlation coefficient and the coefficient of determination



 What happens to the airline industry’s market supply curve as a result of the following events? 

a) There is an increase in the price of oil; 

b) Airline workers demand and receive a 20% increase in their wage; 

c) Pratt & Whitney develops an airplane engine that is 50% more fuel-efficient; 

d) U.S manufacturers of airplanes are subsidized by the U.S. government. 






A progressive wave is given T=0.52π(40t-20x) find



a)amplitude



b)frequency



c)wavespeed



e)wavelenght

You are a media relations officer for the University of South Africa(Unisa). The principal and vice chancellor of unisa, Prof Puleng LenkaBula announced the launching of the migration from Sakai to Moodle(learning management system)



Date: thursday, 31 march 2022


Time: 10h00


Venue: The University of South Africa kgorong Building, Preller street, Muckleneuk, Petoria



1. You have been instructed to write a media release inviting the media release inviting the media to join Moodle LMS migration launch.



You should follow the five "Ws and H " approach in preparing your media release. In other words when, where, what, who, why and how.



(75 marks)




The boiling points of the hydrides of halogens are given below.




Compound HF HCl HBr HI



Boiling point (℃) 293 188 206 238



Discuss the variation in these boiling points in terms of intermolecular forces of attraction.



__________________________________________________________________________________________________________________________________________________________________________________________________________________



Identify the polarity of HF, HCl, HBr, HI




5. What is the mass percent sucrose in a solution made by combining 365 g of a 8.90 percent sucrose by mass aqueous solution with 145 g of an 6.80 percent sucrose by mass aqueous solution? (5 points)

4. Glucose is a natural sugar that occurs in abundance. What is the mass percent of a solution formed from 148 g of glucose and 698 g of water? (5 points)





To neutralize 15.8 mL of 0.687 molarity sodium hydroxide, how much 0.376 molarity HCl is needed? (5 points)




____HCl(aq)+____NaOH(aq)→____NaCl(aq)+____H(OH)(l)






Check whether the series sum_(n=1)^(oo)(nx)/(n^(4)+x^(3)) x in 0 alpha is uniformly convergent or not

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