Show in a formal mathematical proof, theoretical analysis, an even split of an array into two subarrays which answers in the best performance of quicksort algorithm "appraised with respect to the running time". coding or empirical investigation are not needed.

Dimethylhydrazine is a carbon-hydrogen-nitrogen compound used in rocket fuels. When burned completely, a 0.312 g sample yields 0.458 g CO2 and 0.374 g H2O. What is the empirical formula of diemthylhydrazine?

When a 0.860 g sample of an organic compound containing C, H, and O was burned completely in oxygen, 1.64 g of CO₂ and 1.01 g of H₂O were produced. What is the empirical formula of the compound?

1. Prove  that the backtracking algorithm will always return a correct solution (where possible) when solving a game of peg solitaire.

2.Perform empirical analysis and compare the observation to the theoretical analysis. of backtracking algorithm

Case Study 1 (Hundreds of millions of social media accounts compromised by data breach) Published on August 18, 2020.

Security researchers have discovered an exposed database online which contains scraped data from the social media profiles of nearly 235m social media users. For those unfamiliar with the practice, web scraping is an automated technique used to gather data from websites that is often employed by analytics firms who use it to create large databases of user information. Although the practice is legal, it is strictly prohibited by social media companies as it puts the privacy of their users and their data at risk.

Comparitech's lead researcher Bob Diachenko discovered three identical copies of the exposed database online at the beginning of August. After examining the database, Diachenko and his team learned that it belonged to a company called Deep Social which has shut down its operations. When the team reached out to the now-defunct company, its request was forwarded to a Hong Kong based firm called Social Data. While Social Data denied having any connection to Deep Social, the firm did acknowledge the breach and was able to secure the exposed database with a password.

Q1. While scraping user data from social media sites is not illegal, failing to secure this data after it has been collected poses a serious risk to the affected users as cybercriminals could use the information from the database to target them online. What are your recommendations to the online risk policy makers as you think it is a breach of PII (Personal Identifiable Information). Justify your answer. Explain the need for cybersecurity experts in such a case scenario. [5 marks + 4 marks + 1 mark for Referencing Style = 10 marks]

1.

2. Benjamin, Inc., operates an export/import business. The company has considerable dealings with companies in the country of Camerrand. The denomination of all transactions with these companies is alaries (AL), the Camerrand currency. During 2017, Benjamin acquires 43,000 widgets at a price of 8 alaries per widget. It will pay for them when it sells them. Currency exchange rates for 1 AL are as follows:

1. Assume that Benjamin acquired the widgets on December 1, 2017, and made payment on March 1, 2018. What is the effect of the exchange rate fluctuations on reported income in 2017 and in 2018?
2. Assume that Benjamin acquired the widgets on September 1, 2017, and made payment on December 1, 2017. What is the effect of the exchange rate fluctuations on reported income in 2017?
3. Assume that Benjamin acquired the widgets on September 1, 2017, and made payment on March 1, 2018. What is the effect of the exchange rate fluctuations on reported income in 2017 and in 2018?

(Input all amounts as positive values.)

12.) What was the controversy surrounding the 2000 election at the end of voting? Who won the popular vote? Describe the processes that led to a “resolution” of the 2000 Presidential Election.

A farm is evaluating two options to expand its facilities to serve a new manufacturing plant. The new plant will require 2000 telephone lines this year and another 2000 lines in 10 years. The plant will operate for 30 years.

Option 1: Install now network with capacity to serve 4000 lines. This network will cost $27,000 and annual maintenance costs will be $1900.

Option 2: Provide a network with capacity to serve 2000 lines now and a second network to serve the other 2000 lines in 10 years.

Each network will cost $21000 and will have annual maintenance of $2000. Both options will last at least 30 years, and the cost of removing the cables is offset by their salvage value.

a) Draw a cash flow diagram for each Option.

b) Which option should be selected assuming 10% interest rate? Use the PW as decision criterion.

The demand for nurses in the US between 2000 and 2015 is estimated to be D(t) = 0.7t² + 0.265t + 2000 thousand, where 0 ≤ t ≤ 15, and t = 0 corresponds to year 2000. The number of nurses in the US between 2000 and 2015 is estimated to be S(t) = 0.14t² + 0.326t + 1900 thousand, where 0 ≤ t ≤ 15, and t = 0 corresponds to year 2000.

a.) Find and interpret D'(8). Make sure to state the correct units

b.) Find and interpret S'(8). Make sure to state the correct units

c.) Let q(t) = S(t)/D(t). Find and interpret q(8)

d.)  Find and interpret q' (8).

e.)  In the marginal analysis, you would use q'(8) to estimate what quantity? Find the exact value of that quantity, and compare with q'(8)