a 0.125 m solution of a weak base has a ph of 11.26.

A pair of shoes has been discounted by 12%. If the sale price is $120, what was the original price of the shoes? [2] (b) The mass of the proton is 1.6726 x 10-27 kg and the mass of the electron is 9.1095 x 10-31 kg. Calculate the ratio of the mass of the proton to the mass of the electron. Write your answer in scientific notation correct to 3 significant figures. [2] (c) Gavin has 50-cent, one-dollar and two-dollar coins in the ratio of 8:1:2, respectively. If 30 of Gavin's coins are two-dollar, how many 50-cent and one-dollar coins does Gavin have? [2] (d) A model city has a scale ratio of 1: 1000. Find the actual height in meters of a building that has a scaled height of 8 cm. [2] (e) A house rent is divided among Akhil, Bob and Carlos in the ratio of 3:7:6. If Akhil's [2] share is $150, calculate the other shares. Differentiate the following function. y = O (x-3)* > O (x-3)e* +8 O(x-3)x4 ex None of the above answers D Question 2 Differentiate the following function. y = xex O y'= (x + 3x)e* Oy' = (x + 3x)ex O y'= (2x + 3x)ex None of the above answers. Question 3 Differentiate the following function. y = x + 4 O 3x 2(x + 4)/3 o'y' = 2x 2(x+4)/2 3x 2(x + 4)/2 O None of the above answers Question 4 Find the derivative of the following function." y = 24x O y' = 24x+2 In2 Oy = 4x+ In 2 Oy' = 24x+2 en 2 None of the above answers. Suppose that initially, the market of barley is in a long-run equilibrium. Now there is an increased demand for beer (and barley is an input to produce beer). Describe 1) what happens to the price. profit and each farmer's barley output in the short run? 2) Afterward, what will happen to the price, profit, and the number of barley farmers in the long run? Freud suggested that a man's inability to remember his childhood Oedipus complexillustrates:A) rationalization.B) fixation.C) repression.D) displacement. 1. Before the arrival of the Romans, there were two major cultural traditions in the early Iberian peninsula. The people of both traditions cooperated with one another and lived in peace. True False2. While there are people today who call themselves Tainos and claim a Taino heritage, there is yet no scientific evidence to support their claim. True False3. According to Albert Memmi in The Colonizer and the Colonized, the best option for the colonizer who does not approve of the colonial situation isa. to support the anti-colonial struggles of the colonized.b. to find legal means of dismantling the colonial structure.c. to leave the colony and go home.d. to train the colonized to be more like the colonizer. Fill the blanks to write general solution for a linear systems whose augmented matrices was reduce to -3 0 0 3 0 6 2 0 6 0 8 0 -1 Let assume that the average duration of the loans in a firm is 6.6 years. The average duration of its deposits is 3.4 years with k=L/A = 0.5 and total asset=$230 million. What is the gain (+) or loss (-) on the futures position (that hedges against the risk of the rise in interest rate) using T-Bonds (Duration = 9 years, $96 per $100 face value, minimum contract size = $100,000) if the shock to interest rates is 1.2 percent (decrease) while the current interest rate is 7.8%?a.-$12.55 millionb.$11.92 millionc.$12.55 milliond.$11.29 million Which of the following would best fit the definition of a NORC?A. a nursing home set up to resemble an apartment living situationB. a planned retirement village in Florida where only those 65+ can liveC. a community in Arizona where many 65+ people have relocated to due to the nice weather and multiple facilities that cater to their needsD. an assisted living facility that offers various stages of assistance Consider the following data on a car:Cost basis of the asset, CO = BD 5423Useful life, N = 2 yearsEstimated Salvage value, CL = BD 2,000Interest rate, i = 15%Compute the annual depreciation allowances and the resulting book values. Using sinking fund method. Summer Rental Lynn and Judy are pooling their savings to rent a cottage in Maine for a week this summer. The rental cost is $950. Lynns family is joining them, so she is paying a larger part of the cost. Her share of the cost is $250 less than twice Judys. How much of the rental fee is each of them paying? A court of appeal will hear new testimony to prevent justice?True or False Warehousing is an integral part of logistics and supply chain management system.Analyse the above statement. Provide supporting examples for substantiation. for redistribution to be possible, a society must have How are the RDA for almost all vitamin and mineral intakes set?- Low, to reduce the risk of toxicity- At the mean, to cover most healthy individuals- Extremely high, to cover every single person- High, to cover virtually all healthy individuals The following transactions of Lexington Pharmacies occurred during 2015 and 2016 (Click the icon to view the transactions) Journalize the transactions in Lexington's general journal. Explanations are not required. (Record debits first, then credits. Exclude explanations from journal entries) CMD Jan 9, 2015 Purchased computer equipment at a cost of $7,000, signing a six-month, 9% note payable for that amount Date Accounts and Explanation Debit Credit 2015 Jan 9 n nt KP More info 2015 Jan. 9 Purchased computer equipment at a cost of $7,000, signing a six-month, 9% note payable for that amount. 29 Recorded the week's sales of $68,000, three-fourths on credit and one-fourth for cash. Sales amounts are subject to a 6% state sales tax. Ignore cost of goods sold. Feb. 5 Sent the last week's sales tax to the state. Jul. 9 Paid the six-month, 9% note, plus interest, at maturity. Aug. 31 Purchased merchandise inventory for $15,000, signing a six-month, 10% note payable. The company uses the perpetual inventory system. Dec. 31 Accrued warranty expense, which is estimated at 4% of sales of $603,000. 31 Accrued interest on all outstanding notes payable. 2016 Feb. 29 Paid the six-month 10% note, plus interest, at maturity. a. b. 2. Which countries have the following co-ordinates? b. 10S 50W a. 40N 0 C. 20S 50E 3. Which of these countries are in the news at present? Explain why. 4. The country where the 10N and the 50E lines of longitude meet is often in the news. Name this country. Give one reason why this countr is in the news. 5. Find a news story about a country in Africa. a. Give the latitude and longitude of this country. b. Place your story on the news board. C. d e #geo Archibald's smile quickly faded.The sentence above would best be inserted after A. sentence 20. B. sentence 2. C. sentence 4. D. sentence 15. Champ Incorporated budgets the following sales in units for the coming two months. Each month's ending inventory of finished units should be 60% of the next month's sales. The April 30 finished goods inventory is 126 units. May June Budgeted sales units 210 250 Prepare the production budget for May Answer is not complete. the book of mark belongs to the section of the new testament known as City of Tshwane Metropolitan has appointed you to be their supply chain management manager. After engaging with the relevant employees from the supply chain management department, you have identified that the municipality has been experiencing challenges in rolling out a total quality management programme. As their supply chain management consultant, elaborate on the various quality costs and discuss how a Total Quality Management Programme implementation can be used to enhance quality improvement to avoid these types of costs in the near future?