Math - Others Questions

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle What is the area of the largest possible Norman window with a perimeter of 26 feet Answer square feet Round your answer to the nearest tenth as needed

Modern Age Solutions Co Ltd wants to recruit a250 representatives to work in its call centre offices located in Nairobi The call centre works 24 hours shifts The minimum qualifications required for the job are a graduate degree fluency in inglish sensitivity to customer needs and willingness to work a Draft a suitable advertisement for the job vacancies 6mks b Suggest suitable sources of recruitment which the company should employ 8mks c Recommend the selection procedure the company should adopt 8mks d Should the company use tests for selecting employees If yes recommend suitable types of tests 8mks

HW Problem 16 Let S be the portion of the sphere 2 y z 16 that lies in the first octant Compute the flux of the field F z x y across S

Carson is baking a cake and has mixed 460 mini chocolate chips into the batter Carson pours the batter is poured into a rectangular pan that measures 13 inches by 6 inches After poured the batter measures exactly 1 8 inches in height What is the density of chocolate chips in the batter Round your answer to two decimal places as necessary Show your work here

3 Use Householder s method to transform the following matrix into tridiagonal form 1 A 1 2 1 2

Let A 1 1 1 01 1 1 a Find the QR factorization of the above upper Hessenberg matrix A Hint Follow Algorithm 6 on Lec 23 b Using initial vector 0 1 1 1 compute the dominating eigenvalue and eigenvector of by using power method with scaling for two iterations where the norm is

Sketch the deed description below a Determine the interior horizontal angle at each corner b Express each distance in feet c Find the area Deed to land in Hodgenville Kentucky Grantees are Thomas and Nancy Lincoln Beginning at a large white oak 13 poles above the Sinking Spring or Rock Spring running the N9 degrees W 310 poles to a stake in John Taylor s field thence S 89 degrees E 155 poll to a forked Blackjack thence S 9 degrees E 310 poles to two black jacks thence N 89 degrees W 155 poles to the beginning

Use the purple rectangle diamond symbols to shade the area representing the revenue lost from selling fewer units of output Then use the green ectangle triangle symbols to shade the area representing the revenue gained from selling each unit of output at a higher price PRICE Dollars 100 90 80 70 60 50 40 30 20 10 0 0 20 9 8 Demand 80 100 120 140 160 180 200 QUANTITY Units This monopolist s marginal revenue equals Revenue Lost Revenue Gained Hint Enter the negative sign if necessary

Use the following to answer question 15 Figure AD AS Aggregate price level LRAS Y YpY SRAS AD AD AD Real GDP A SRAS will shift to the right B SRAS will shift to the left C AD will shift to the right D AD will shift to the left 15 Figure AD AS Suppose that initially the economy is at long run equilibrium Ther government decides to cut taxes as a result

Figure Policy Alternatives Panel a Price level P3 P P LRAS SRAS AD Y Yp Y Real GDP SRAS Price level P3 P P Panel b LRAS SRAS AD Y Yp Y Real GDP AD 17 Figure Policy Alternatives In Panel b the economy is initially in short run equilibrium at real GDP level Y and price level P2 If the government decides to intervene it would most likely A increase taxes B C decrease the quantity of money available increase the level of government purchases of goods and services D decrease the level of government purchases of goods

Use the following to answer question 16 Figure An Increase in Aggregate Demand Price level P3 P P LRAS SRAS Y Yp Y SRAS AD Real GDP AD 16 Figure An Increase in Aggregate Demand Assume that the economy is initially long run equilibrium at Yp and P Now suppose that there is an increase in the leve government purchases at each price level This will A shift aggregate demand from AD to AD B shift aggregate demand from AD to AD2 C lead to increased output and a decrease in the price level D lead to decreased output and price level

Figure AD AS Model II Aggregate price level P questions 12 14 LRAS E Y potential output SRAS AD Real GDP 12 Figure AD AS Model II As the size of the labor force increases over time which of the following will take place A LRAS will shift to the right B LRAS will shift to the left C AD curve will shift to the left D AD curve will shift to the right

Maximizing Profit The total daily revenue in dollars that a publishing company realizes in publishing and selling its English language dictionaries is given by R x y 0 005 0 003 0 002xy 20x 15y where x denotes the number of deluxe copies and y denotes the number of standard copies published and sold day The total daily cost of publishing these dictionaries is given by C x y 6x3y 170 dollars Determine how many deluxe copies and how many standard copies the company should publish each day to maximize its prifts Round your answers to the nearest whole number of copies deluxe coples standard coples What is the maximum profis realizable Round your answer to the nearest cent

A country s population in millions in 2001 and 2010 are given below Use this information and the exponential model A P 1 r to find the growth rate r for the country over this period population in 2001 137 million population in 2010 133 million The country s growth rate over this period was 0 33 Round to the nearest hundredth as needed

K Given the two terms in the Fibonacci sequence shown below find the specified term F35 9 227 465 F36 14 930 352 find F34

Which of the lines on the given graph have a zero slope e GALLE b d Select all lines with a zero slope f b a C d e None of the lines have a zero slope

If x varies directly as y and x 8 when y 4 find x when y 6 X

Use the following to answer question 10 Figure Inflationary and Recessionary Gaps Panel a LRAS Price level P3 P P Y Yp Real GDP SRAS AD Price level P3 P P Panel b LRAS Yp Y Real GDP SRAS B indicates that the economy is experiencing an inflationary gap C indicates that the economy is experiencing a recessionary gap D would be associated with considerable unemployment AD 10 Figure Inflationary and Recessionary Gaps In Panel b the level of real GDP represented by X A is potential output for this economy

20 If the labor unions lose memberships and become less popular then A production costs will increase SRAS will shift to the left decreasing equilibrium GDP and increasing the aggregate price level B production costs will fall there will be a downward movement along SRAS equilibrium GDP will increase and aggregate price level will fall C production costs will not change AD will shift to the right increasing equilibrium GDP and aggregate price level D production costs will fall SRAS will shift to the right increasing equilibrium GDP and lowering the aggregate price level

4 If the Fed decreases the quantity of money in circulation A interest rates decrease investment increases and the aggregate demand curve shifts to the right B C interest rates increase investment decreases and the aggregate demand curve shifts to the left D interest rates decrease investment decreases and the aggregate demand curve shifts to the left interest rates increase investment decreases and the aggregate demand curve shifts to the right

2 Which of the following is NOT true regarding the aggregate demand curve A A rise in the price level lowers real wealth and results in a lower level of consumer spending B A rise in the price level increases the demand for money raises the interest rate and reduces investment spending C A fall in the price level will generally lead to a rise in the level of aggregate output demanded D A fall in the price level will reduce the demand for money raise the interest rate and increase investment spending

6 The short run aggregate supply curve would shift to the left for all the following reasons EXCEPT A a decrease in productivity B an increase in nominal wages C an increase in interest rates D an increase in the price of commodities used for production

3 Aggregate demand will shift to the right if A the aggregate price level increases the government purchases increase there is an increase in taxes there is a decrease in money supply B C D

9 A positive demand shock will result from a sudden increase in nominal wages A B C D an increase in the potential GDP a move by the Federal Reserve to lower the interest rate consumers and firms becoming more pessimistic about the future

5 The SRAS curve is upward rising because A a higher aggregate price level leads to lower output as costs of production increase B a higher aggregate price level leads to higher output since most production costs are fixed in the short run a lower aggregate price level leads to higher output since production costs tend to fall in the short run D a lower aggregate price level leads to higher profit and higher productivity

1 According to the aggregate demand curve when the aggregate price level the quantity of A rises aggregate output supplied falls B falls aggregate output demanded falls C rises aggregate output demanded falls D rises aggregate output demanded does not change

7 In the long run nominal wages are A sticky downward but flexible in an upward direction B sticky upward but flexible in a downward direction sticky in both an upward and downward direction flexible because contracts and informal agreements are renegotiated in the log C D run

If you have 10 000 in a bank account that is paying an interest rate of 8 percent that is being compounded annually how many years will it take to double your investment if the interest rate stays the same What is the doubling time years Do not round until the final answer Then round to the nearest hundredth as needed This question 1 point s possible EXOR

Which of the lines on the given graph have a zero slope f e C b d Select all lines with a zero slope U f b a C d e None of the lines have a zero slope

K Solve for x 10 5 9 X Round to five decimal places as needed

K Identify the sequence as either arithmetic or geometric List the next two terms of the sequence 1 1 1 1 5 25 125 1 Is the sequence arithmetic or geometric 1 O A Arithmetic B Geometric List the next two terms in the sequence 1 1 1 5 25 125 Type integers or simplified fractions

For the following arithmetic sequence a find the specified term a and b find the sum of the terms from a to an 6 8 10 12 find a10 a a 0 b The sum of the terms from a to a10 inclusive is This question 1 inclusive

Calculate the missing values in the following table Round to four decimal places wherever applicable a b C Percent 1 3 7 Decimal 2 5 Fraction or mixed number in lowest terms 00 250

6 each can break apart a 9 X 6 array into two smaller arrays for facts you know One way is to think of 9 as 5 4 Draw a line to show this way Then find the product 9 6 x 4x6 9 6 5 4 So Mark spent for 9 fish Share and Show 1 Draw a line to show how you could break apart this 6 X 8 array into two smaller arrays for facts you know What numbers do you multiply 3 and and 3 and Math Board What numbers do you add 6x8 6X 6x8 5x8 6x8 x 2

Assume that of the 330 000 people who immigrated to Canada in 2010 14 35 were from China 9 4 were from the Philippines and the rest were from other countries a Calculate the number of people who immigrated to Canada from China Round to a whole number b If the combined number of immigrants from China and the Philippines constituted 0 185 of the population of Canada calculate the population of Canada in 2010

Calculate P A or B in the following scenarios a P A 0 608 P B 0 135 A and B are mutually exclusive P A or B Round to 3 significant digits b P A 0 229 P B 0 204 P A and B 0 042 P A or B Round to 3 significant digits

Bryan and his two sisters purchased an office for 600 000 Their individual investments in the office were in the ratio of 10 2 8 respectively After the purchase they decided to renovate the office and purchase furniture so each of them invested an additional 40 000 Calculate the new ratio of their investment after the additional investments Express the ratio reduced to lowest terms

Evaluate the following expression 3a 8b15c 2a 5b 6c 3 where a 3 b 3 and c 5

The value of a currency appreciated by 5 10 of its value last month and then depreciated by 5 10 this month By what percent did the currency appreciate or depreciate over the 2 month period Express the answer with a positive sign for appreciation or negative sign for depreciation rounded to two decimal places

Arrange the following measurements in order from largest to smallest and select the correct answer click to select 5 4 L 7 5 qt 12 pt 1 gal 12 pt 7 5 qt 5 4 L 1 gal 7 5 at 12 pt 5 4 L 1 gal 5 4 L 7 5 qt 12 pt 1 gal

Given that x O a Ob O C 4 x 4 x 8 12 8 X 4 y 8 which one of the following represents y

Convert the measurements to the units indicated a 6 m b 92 cm c 0 92 km cm mm m

Subtract polynomials 1 3x 2 3x 1 6x 4 9x 3 8x 5 6 x x x 5 6 Write your answer in decimals with one decimal place For example if your answer is 1 write it as 1 0

a Convert 6L 52 mL to litres 6L 52 mL L b Convert 4 223 mL to litres and millilitres 4 223 mL L mL

Based on Melanie s past experience it takes his team 5 months to complete 3 projects How long would it take his team to complete 6 similar projects months Round to 2 decimal places when necessary

A card is drawn from a well shuffled standard 52 card deck of cards Find the probability that it is For your answers round the number to have 2 decimal places if needed a A Jack or black card b An even numbered card

Arrange the following temperatures in order from lowest to highest 181 88 C 287 1 F 100 57 K O 181 88 C 287 1 F 100 57 K 181 88 C 100 57 K 287 1 F O 287 1 F 181 88 C 100 57 K O 287 1 F 100 57 K 181 88 C O 100 57 K 181 88 C 287 1 F O 100 57 K 287 1 F 181 88 C

Convert kilometres per hour to miles per hour Round to the nearest hundredth 115km h to miles per hour mi h

Choose the simplified form for each of the following expressions a 9a 14b4a 3b O 5a 17b O 5a 17b O 23a 7b O 22ab b 13y4y 5y 6y 0 8y 2y O 8y 10y Q 8y 2y

Determine the exponents m and n when the following expression is simplified m n 3 X x 000 x 5 3 xm