Math - Others Questions

5 Find the relating angle to the given one Related sin 240 to the sine of an angle of the first quadrant Select all correct statements The angle 240 is in quadrant III Its related angle is 30 sin 240 sin 240 180 The angle 240 is in quadrant III Its related angle is 60 The angle 240 is in quadrant III Sine is positive in quadrant III 3 sin 240 sin 60 and so sin 240 3 2 The angle 240 is in quadrant IV Sine is negative in quadrant IV sin 240 sin 60 and so sin 240 3 The angle 240 is in quadrant III Sine is negative in quadrant III

3 If we simplififed cos A B cos A B we get Sellect all the correct options 2sin A sin B 2cos A cos B cos A cos B sin A sin B cos A cos B sin A sin B cos A cos B sin A sin B cos A cos B sin A sin B

4 Calculate the value of sin 15 3 1 2 2 O O O O O 3 1 2 2 3 1 2 2 3 1 2 2 None of the other options is correct

2 Find the value of cos 330 Sellect all the correct answers cos 30 4 4 cos 30 000 is

5 State whether the sign of cos 100 is positive or negative O Positive O Negative

1 Look at the right angled triangle below All the side lengths are shown on the figure A 5 5 4 C None of the other options is correct 3 Select all correct statements to find sine cosine and tangent of angle A sin A cos A sin A cos 4 tan A tan A B

a A cyclist travels down a hill in a straight line with constant acceleration She starts with speed 1 5 m s and finishes with speed 9 5 m s The length of the hill is 22 m Show your working i Find the time taken ii Find the acceleration of the cyclist

f A die is rolled twice Let all the elementary events in 2 i j i j 1 2 6 be assigned the same probability Let A be the event that the first throw shows a number 2 and B the event that the second throw shows at least 5 Find An B and P AUB Explain your answer

e An investor deposits 50 on the first day of each month in an account that pays 3 interest compounded monthly What is the balance at the end of 2 years Show your working

Using matrices and determinants solve the following system if possible Show your working If not possible show why not x 2y 3z 1 f x 2x z 0 3x 4y 4z 2

i The weights in kg of 10 students are given below 29 33 26 28 36 41 23 34 34 33 Work out the median show you work

ii 99 people take a test Their scores out of 100 are 56 79 77 48 90 68 79 92 7156 79 77 48 90 68 79 92 71 Work out the mean median and mode of their scores show you work

e If Show that A A 2 4 7 A 12 2

Problem 4 Suppose that A is a 10 10 matrix and we want to extract a submatrix consisting of rows 2 to 7 and columns 1 to 5 of A What single Matlab command using 10 characters or less could accomplish this Assume that the matrix A has already been defined in Matlab and has been called A Problem 4 Note that for this question you should test your answer to see if it works For this purpose it would be useful to have a 10 x 10 matrix sitting around somewhere There are several ways to quickly generate matrices in Matlab For example rand 10 will produce a 10 10 matrix whose entries are random numbers between 0 and 1 magic 10 will produce a 10 10 magic square matrix

Time allowed per column Z Name z 1 8 7 15 2 7 6 13 3 6 5 4 7 4 9 7 16 5 6 8 6 14 7 7 5 12 8 9 8 17 9 9 6 10 8 5 11 9 5 12 8 4 13 9 3 14 8 9 15 4 9 16 6 7 17 7 8 18 6 9 19 4 8 20 9 9 Number o 1 17 9 2 15 6 3 13 8 4 16 7 5 14 6 6 12 5 7 15 8 8 13 6 9 11 5 10 18 9 11 14 5 12 13 9 13 13 7 14 15 7 15 12 6 16 14 8 17 16 9 18 16 8 19 13 5 20 15 9

Persevere with Problems Lannie has 5 cups of chocolate chips She needs 12 cups to make one batch of chocolate chip cookies How many batches of chocolate chip cookies can she make batches X do 90 H 0

Round each number to the correct place value 1 Round to the nearest tenth 2 Round to the nearest tenth 3 Round to the nearest hundredth Round to the nearest tenth 4 Round to the nearest tenth 5 Round to the nearest whole number 146 8 6 Round to the nearest hundredth 9 Round to the nearest tenth Round to the nearest hundredth 7 Round to the nearest whole number 9 88 12 Round to the nearest hundredth 855 788 6 429 15 Round to the nearest hundredth 5 167 677 827 Round to the nearest hundredth 98 949 Round to the nearest tenth 11 Round to the nearest whole number 90 1 33 25 16 118 3 827 13 Round to the nearest whole number 71 7 14 Round to the nearest tenth 481 772 6 36 16 Round to the nearest whole number 2 4 534 212 7 Round to the nearest whole number 71 64 8 Round to the nearest whole number 45 9 98 244 10

The Sun River beverage company is a regional producer of teas exotic juices and energy drinks With an interest in healthier lifestyles there has been an increase in demand for its sugar free formulation The final packing operation requires 13 tasks Sun River bottles Its sugar free product 5 hours a day 5 days a week Each week there is a demand for 2 500 bottles of this product TASK ANASANA 6 9 10 12 13 PERFORMANCE TIME TASK MUST MINUTES FOLLOW 0 2 0 2 0 3 0 1 0 2 0 2 0 3 0 1 0 1 0 1 0 2 0 1 INNNAT 96 3 4 5 7 18 11 12 Using the above data solve the assembly line balancing problem and calculate the efficiency of your solution Use the longest task time for your decision criteria Enter your answer as a percentage rounded to 1 decimal place

Construct a truth table for the given statement q V p A p Complete the truth table P T T F 9 T F LL T P qvp q V p p

20 2x x 2

Answer Part B Convert 0 87 to a percent Answer Answer to a decimal Part C Convert 0 3 to a decimal Part D Convert 0 225 to a percent Answer Calculator Je

The desired daily output for an assembly line is 480 units This assembly line will operate 640 minutes per day The following table contains information on this product s task times and precedence relationships TASK time ABCDEFGH Workstation cycle TASK TIME SECONDS 40 25 75 15 59 Work Station 30 25 15 IMMEDIATE PREDECESSOR b What is the workstation cycle time 3x Task A B B Answer is complete but not entirely correct seconds per unit D C E G F c Balance this line using the largest number of following tasks Use the longest task time as a secondary criterion Leave no cell blank be certain to enter 0 wherever required Idle Time

Francis Johnson s plant needs to design an efficient assembly line to make a new product The assembly line needs to produce 30 units per hour and there is room for only five workstations The tasks and the order in which they must be performed are shown in the following table Tasks cannot be split and it would be too expensive to duplicate any task TASK TIME TASK MINUTES A TES 1 0 B 8 5 8 5 PUDEFG C 2 0 1 0 2 0 2 0 IMMEDIATE PREDECESSOR Workstation cycle time mmnal A B C b What is the workstation cycle time in minutes Round your answer to 1 decimal place minutes d What is the efficiency of your line balance Use the theoretical minimum number of workstations in your calculation Round your answer to 1 decimal place

Simplify the algebraic expression 10 2 3

N Paid 326 000 cash plus 13 040 in sales tax and 1 600 in transportation FOB shipping point for a new loader The loader is estimated to have a four year life and a 32 600 salvage value Loader costs are recorded in the Equipment account te Enter debits before credits Date January 1 Year 1 General Journal Dobit Credit

Find the least common denominator for the group of denominators using the method of prime numbers 45 75 153 The least common denominator is

Simplify the expression and answer the following a What is the resulting coefficient of b b What is the resulting coefficient of a b 3a 3a b 6b 7a b 4a 3b 4a a Coefficient of b 342 0 C

b 8a b 14ab 4ab 2ab

Rearrange to isolate variable y in the following equation and choose the correct answer 6 92 3 2

6 5x2 8 6 6 2 4x

Simplify the algebraic expression 6x 4 2 2x

4x 10 36

Part 1 of 2 1 92 points 1 a Allocate the lump sum purchase price to the separate assets purchased 1 b Prepare the journal entry to record the purchase 2 Compute the first year depreciation expense on the building using the straight line method assuming a 15 year life and a 30 000 salvage value 3 Compute the first year depreciation expense on the land improvements assuming a five year life and double declining balance depreciation Answer is not complete Complete this question by entering your answers in the tabs below Required 1A Required 1B Required 2 Required 3 Compute the first year depreciation expense on the land improvements assuming a five year life and double declining balance depreciation Depreciation expense on land improvements 31 936 Required 2 Required 3

3 A machine costing 211 600 with a four year life and an estimated 16 000 salvage value is installed in Luther Company s factory on January 1 The factory manager estimates the machine will produce 489 000 units of product during its life It actually produces the following units 121 700 in Year 1 123 500 in Year 2 121 500 in Year 3 132 300 in Year 4 The total number of units produced by the end of Year 4 exceeds the original estimate this difference was not predicted Note The machine cannot be depreciated below its estimated salvage value 1 92 points Required Compute depreciation for each year and total depreciation of all years combined for the machine under each depreciation method Note Round your per unit depreciation to 2 decimal places Round your answers to the nearest whole dollar Complete this question by entering your answers in the tabs below Straight Line Year Units of Production Year Compute depreciation for each year and total depreciation of all years combined for the machine under the Units of production Units Double declining balance 121 700 Answer is not complete Units of Production Depreciable Units 121 700 Depreciation per unit 0 40 Depreciation Expense Return to question 51 114 X

5 f x 3x Domain x int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Range y int

1 Part 1 of 2 1 92 points OPONCIATION Required information Complete this question by entering your answers in the tabs below Required 1A Required 1B Required 2 Allocation of total cost Allocate the lump sum purchase price to the separate assets purchased Total cost of Acquisition Building Land Land improvements Vehicles Total Estimated Market Value 467 650 268 650 79 600 179 100 995 000 WATOTO www womplete Required 3 Percent of Total 0 X x X X X you have Apportioned Cost S 0 completed so far It does not indicate completion Return to question

Directions Graph each function and identify its key characteristics 1 f x x 2 f x x6 3 f x 4x5 Domain x int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Domain x int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Domain x int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Range y int Range y int Range y int

A city s population is 1100 and growing at 3 a year a Find a formula for the population P at time t years from now assuming that the 3 per year is an annual rate or a continuous annual rate i An annual rate P t ii A continuous annual rate P t b In each case in part a estimate the population of the city in 25 years NOTE Round your answers to the nearest integer i The population of the city will be ii The population of the city will be

Use the graph to find all the solutions of x x 3 0 ya 10 X x 2 x 1 O SE

The dependent variable is the percentages of the usage of computers X 1992 2 2016 y 20 7 42 63 1 67 1 75 2 76 7 78 9 83 8 85 1 86 8 89 3 Defining the linear regression function and creating x incremented by 1 for more data poin x1 1992 1 2016 p1 polyfit x y 1 y1 polyval p1 x1 Defining the polynomial p2 polyfit x y 2 Evaluating p2 to create y values for plotting yPoly polyval p2 x1 Ploting the original data plot x y o Titles and adds legends to the plot graph title Share Of US Housholds Using Specific Technologies Computers xlabel Years Between 1996 and 2016 ylabel Percent of Americans Who Are Using Computers hold on Ploting the linear regression data plot x1 y1 Ploting the polyfit data plot x1 yPoly

To pay for a 17 600 truck Aldo made a down payment of 3700 and took out a loan for the rest On the loan he paid monthly payments of 307 68 for 4 years a What was the total amount Aldo ended up paying for the truck including the down payment and monthly payments b How much interest did Aldo pay on the loan S X S

What is the image of 12 8 after a dilation by a scale factor of centered at the origin

Chang obtains a loan for home renovations from a bank that charges simple interest at an annual rate of 15 His loan is for 12 500 for 84 days Assume each 1 day is of a year Answer each part below 365 Do not round any intermediate computations and round your final answers to the nearest cent If necessary refer to the list of financial formulas a Find the interest that will be owed after 84 days s b Assuming Chang doesn t make any payments find the amount owed after 84 days X

Name Omar Class 7 3 Kange in temperature 35 30 Gluph Double line graph 20 45 10 nitrice Comparing the ranges in tempera of my two coldest cities

Sept 14 2023 Graph Double line graph Jame omar Class 7 3 luge wat in any 35 30 25 15 10 5 Comparing the ranges in temperature of my two coldest cities by its cover

Tech Supplies Company Incorporated is a leading retaller specializing in consumer electronics A condensed Income stateme balance sheet for the fiscal year ended February 1 2020 are shown below Tech Supplies Company Incorporated Balance Sheet At February 1 2020 5 in millions Current assets Cash and cash equivalents Accounts receivable net Inventory Other current assets Total current assets Long term assets Total assets Assets Liabilities and Shareholders Equity Current liabilities Accounts payable Other current liabilities Total current liabilities Long term 11abilities Shareholders equity Total liabilities and shareholders equity Tech Supplies Company Incorporated Income Statement For the Year Ended February 1 2828 in millions Revenues Costs and expenses Operating incOND Other income expense Income before income taxes Income tax expense Net Income 14 Current ratio 1 b Acid test ratio 39 578 38 163 1 415 75 1 340 653 687 2 076 1 212 5 061 412 8 761 3 683 12 444 4 950 3 475 8 425 2 236 1 783 12 444 Includes 170 of Interest expense Required 1 a Calculate the current ratio for Tech Suppiles for its fiscal year ended February 1 2020 1 b Calculate the acid test ratio for Tech Suppiles for its fiscal year ended February 1 2020 1 c Calculate the debt to equity ratio for Tech Supplies for its fiscal year ended February 1 2020 1 d Calculate the times Interest eamed ratio for Tech Supplies for its fiscal year ended February 1 2020 Note For all requirements round your answers to 2 decimal places

3 ts eBook Print ferences A machine costing 211 600 with a four year life and an estimated 16 000 salvage value is installed in Luther Company s factory on January 1 The factory manager estimates the machine will produce 489 000 units of product during its life It actually produces the following units 121 700 in Year 1 123 500 in Year 2 121 500 in Year 3 132 300 in Year 4 The total number of units produced by the end of Year 4 exceeds the original estimate this difference was not predicted Note The machine cannot be depreciated below its estimated salvage value Required Compute depreciation for each year and total depreciation of all years combined for the machine under each depreciation method Note Round your per unit depreciation to 2 decimal places Round your answers to the nearest whole dollar Complete this question by entering your answers in the tabs below Straight Line Units of Production Year Year 1 Year 2 Year 3 Year 4 Total Compute depreciation for each year and total depreciation of all years combined for the machine under the Units of production Units Double declining balance Units of Production Depreciable Units 121 700 123 500 121 500 132 300 Depreciation per unit Straight Line Depreciation Expense Check my work Double declining balance

1 1 b Prepare the journal entry to record the purchase 2 Compute the first year depreciation expense on the building using the straight line method assuming a 15 year life and a 30 000 salvage value Part 1 of 2 1 92 points 3 Compute the first year depreciation expense on the land improvements assuming a five year life and double declining balance depreciation Complete this question by entering your answers in the tabs below Required 1A Required 1B Required 2 Prepare the journal entry to record the purchase No 1 Date January 01 Building Land Land improvements Answer is not complete Vehicles Cash Required 3 General Journal 30303 Debit 467 650 x 268 650 X 179 100 x Credit 79 600 x 830 000 Return to question

Assignment2 Problem 7 1 point Solve for X 44188 38 X Preview My Answers Submit Answers x 3 69

Emmett and Sean have a crazy idea They LOVE soda and think it would be amazing to swim in a pool full of soda They decide to fill their cylindrical swimming pool dimensions shown below with Dr Pepper Keep in mind that its not very fisable to fill a pool all the way to the top so they plan to only fill it 95 of the way They decide to purchase Dr Pepper in 2 liter bottles How much money will it cost them to fill up their swimming pool with Dr Pepper 12 ft INTEX T 30 in