Quadratic equations Questions and Answers

3 The cost in dollars of producing x units of a certain commodity is C x 100 50x 0 02x a Find the average rate of change of C with respect to x when the production level is changed from x 100 to 105 b Find the instantaneous rate of change of C with respect to x when x 100 and interpret the value of it

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What type of sampling method was used DRAG DROP THE ANSWER A researcher divided a group of students according to gender major field and low average and high grade point average Then she randomly selectes six students from each group to answer questions in a survey Out of 10 hospitals in a municipality a researcher selects one and collects records for a 24 hour period on the types of emergencies that were treated there The subscribers to a magazine are numbered Then a sample of these people is selected using random numbers Every 10th bottle of Energized Soda is selected and the amount of liquid in the bottle is measured Random Stratified Systematic Cluster

18 a b Part A A national achievement test is administered annually to 3rd graders The test has a mean score of 100 and a standard deviation of 15 If Jane s z score is 1 20 what was her score on the test A 82 B 112 100 D 88 E 118 Part B The grades on a history midterm at Gardner High School are normally distributed with 73 and a 4 0 The 2 score for Ben is 0 50 Find Ben s score and type your result in the empty box provided below Answer

The time it takes to complete a test is normally distributed with a mean of 45 minutes and a standard deviation of 12 minutes If Nick took an hour and 8 minutes to complete the test find his z score to the nearest hundredth of a second

For each of the following balance sheet items indicate the appropriate classification category from the dropdown list Note If the item is a contra account select the appropriate classification category with contra from the dropdown list 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Equipment Accounts payable Allowance for uncollectible accounts Land held for investment Notes payable due in 5 years Deferred revenue for the next 12 months Notes payable due in 6 months Accumulated amount of net income less dividends Investment in XYZ Corporation long term Inventory Patent Land used in operations Accrued liabilities due in 6 months Prepaid rent for the next 9 months Common stock Building used in operations Cash Income taxes payable

The following December 31 2024 fiscal year end account balance Information is available for the Stonebridge Corporation Cash and cash equivalents Accounts receivable net 5 600 26 000 66 000 Inventory Property plant and equipment net 150 000 45 000 17 000 130 000 Accounts payable Salaries payable Paid in capital The only asset not listed is short term investments The only liabilities not listed are 36 000 notes payable due in two years and related accrued interest payable of 1 000 due in four months The current ratio at year end is 1 6 1 Required Determine the following at December 31 2024 1 Total current assets 2 Short term investments 3 Retained earnings

The following are the ending balances of accounts at December 31 2024 for the Valley Pump Corporation Account Title Cash Accounts receivable Inventory Interest payable Investment in equity securities Land Buildings Accumulated depreciation buildings Equipment Accumulated depreciation equipment Copyright net Prepaid expenses next 12 months Accounts payable Deferred revenue next 12 months Notes payable Allowance for uncollectible accounts Common stock Retained earnings Totals Debits 38 000 82 000 197 000 70 000 146 000 365 000 101 000 25 000 45 000 Credits 23 000 113 000 38 000 78 000 33 000 315 000 8 000 330 000 41 000 979 000 979 000 Additional Information 1 The 146 000 balance in the land account consists of 113 000 for the cost of land where the plant and office buildings are located The remaining 33 000 represents the cost of land being held for speculation 2 The 70 000 balance in the investment in equity securities account represents an investment in the common stock of another corporation Valley intends to sell one half of the stock within the next year 3 The notes payable account consists of a 126 000 note due in six months and a 189 000 note due in three annual installments of 63 000 each with the first payment due in August of 2025 Required Prepare a classified balance sheet for the Valley Pump Corporation at December 31 2024 Use the additional information to help determine appropriate classifications and account balances

Most decisions made by management impact the ratios analysts use to evaluate performance Indicate by letter whether each of the actions listed below will immediately increase I decrease D or have no effect N on the ratios shown Assume each ratio is less than 1 0 before the action is taken 1 Issuance of long term bonds 2 Issuance of short term notes 3 Payment of accounts payable 4 Purchase of inventory on account 5 Purchase of inventory for cash Action 6 Purchase of equipment with a 4 year note 7 Repayment of long term notes payable 8 Issuance of common stock 9 Payment for advertising expense 10 Purchase of short term investment for cash 11 Reclassification of long term notes payable to current notes payable Current Ratio Acid Test Ratio Debt to Equity Ratio

Cone Corporation is in the process of preparing its December 31 2024 balance sheet There are some questions as to the proper classification of the following items a 60 000 in cash restricted in a savings account to pay debt The debt matures in 2028 b Prepaid rent of 34 000 covering the period January 1 2025 through December 31 2026 c Notes payable of 220 000 The notes are payable in annual installments of 30 000 each with the first installment payable on March 1 2025 d Accrued interest payable of 22 000 related to the notes payable is due June 30 2025 e Investment in equity securities of other corporations 100 000 Cone intends to sell one half of the securities in 2025 Required Prepare the asset and liability sections of a classified balance sheet to show how each of the above items should be reported Current assets Long term investments Other assets CONE CORPORATION Balance Sheet Partial At December 31 2024 Assets

5 f UW 6x 35 find UW 19 4x 20 W

12 In the figure AC CD DE and BC 6 cm Find CE A B 6 C E D

Find a third degree polynomial P x that has zeros at x 2 x 2 and x 3 and whose x term has coefficient 16

Is not a test You are allowed to ask for help on InScribe Make sure you post an image of the question you are asking about AND what you have tried so far 1 3 pts The average weight of 6 people in an elevator is 173 pounds A 7th person gets on and now the average weight is 165 pounds How much did the 7th person weigh Set Up Work 2 pts T Replace these words with a cropped picture of your work for question 1 only Answer 0 5 pt Reasoning Explanation 0 5 pt

f x 4x 24x 32 12 Find the x intercepts of this function 3 points 13 14 Rewrite the function in the form f x a x h k 3 points Graph the function Make sure the vertex and the x intercepts are clearly visib your graph 3 points y 5

Find the measure of the missing angles y 64 x

5 a Find the LU decomposition of the matrix A 4 6 b Find the LDU decomposition of the matrix 2 1 1 0 2 3 5 2 1 1 A 4 0 2 6 35

p 1 5p 3p S 10 6m 5 7m 10 5m 3 13 8 5 2p 10 7 11 8m 4 2m m l 14 4 3x 6 3x 2 x

Describe and compare the solution sets of x 6x2 7x3 0 and x 6x2 7x3 5 Describe the solution set X X1 X2 x3 X3 of x 6x2 7x3 0 in parametric vector form Select the correct choice below and fill in the ans 3 boxes within your choice Type an integer or fraction for each matrix element O A X OB X X3 OC X X

What is the slope of the line in the graph below Y 5 5 5 5 A 8

Your cell phone company charges 20 00 a month plus 0 05 per text message Create a linear function that inputs the amount of text messages per month and outputs the monthly phone bill a Select the value that corresponds to the independent variable x O The number of texts you send in the month The flat monthly fee Your total cell phone bill b Select the value that corresponds to the dependent variable y O The number of texts you send in the month O The flat monthly fee Your total cell phone bill c Write the equation that represents this scenario Enter your answer in slope intercept form Enter equation d Find three points that lie on the line of this equation Enter point 1 e Graph the equation 150 100 Persuasive definition e 50

Find a possible formula for the quadratic function whose graph has vertex 2 3 and y intercept 4 Enter the exact answer y 1 x 2 3 X

45 18 6 3

Solve each problem involving triangles See Examples 1 4 41 Height of a Ladder on a Wall A 13 5 m fire truck ladder is leaning against a wall Find the distance d the ladder goes up the wall above the top of the fire truck if the ladder makes an angle of 43 50 with the hori zontal 13 5 m 43 50

55 Angle of Elevation of the Sun The length of the shadow of a building 34 09 m tall is 37 62 m Find the angle of elevation of the sun to the nearest hundredth of a degree 115

43 Height of a Building From a win dow 30 0 ft above the street the angle of elevation to the top of the building across the street is 50 0 and the angle of depression to the base of this build ing is 20 0 Find the height of the building across the street 30 0 ft 50 0 20 09

is it correct to simplify these fractions like this 2x 1 x 1 x 3 X X 1 1 2x 5x74 Zux fr 11 x 5x 4 12 Este correct X 11 x correct correct 133 1 2 thir 5 2x 2 correct correct

If a family has 6 children in how many ways could the parents have 3 boys and 3 girls as children

Identify all possible quadrants of an angle 0 that satisfies the given conditions tan 0 0 cos 0 0 Select all possible quadrants below A Quadrant I B Quadrant IV C Quadrant II D Quadrant III

11 12 13 14 Identify the domain and range of each 9 y 2 x 10 y 4 x 16 Detais 26 Demais All real murders Range All real mambers

Identify the quadrant s of an angle 0 that satisfies the given conditions sin 0 0 csc 0 0 Choose the correct answer below O A II OB II and III OC III and IV OD II and IV

9 B a 964 m 36 20

sin 20 cos20 1 Is the statement possible or impossible OA The statement is impossible because sin 20 cos20 1 is an identity B The statement is possible because sin 0 cos 0 1 is an identity OC The statement is possible because sin 20 cos20 1 is an identity D The statement is impossible because sin 20 cos 20 and sin 021

Question 1 1 4 3 Select the correct choices that complete the sentence below For an angle 8 measuring 105 the trigonometric functions tan 8 and HW Score 0 0 of 25 points O Points 0 of 1 are positive and the remaining trigonometric functions are negative

Decide whether the statement is possible or impossible sin 0 0 and csc 0 0 Is the statement possible or impossible OA The statement is possible because sin 0 is always positive OB The statement is impossible because csc is always negative O c The statement is impossible because sine and cosecant always have opposite signs OD The statement is impossible because sin 0 is always negative O E The statement is possible because csc 0 is always positive OF The statement is possible because sine and cosecant always have the same sign

sin a whether the statement is possible or impossib 1 IN 2 and csca 2 Is the statement possible or impossible O Possible O Impossible

Choose the correct graph below A Sketch an angle 0 in standard position such that has the least possible positive measure and the point 5 12 is on the terminal side of 8 Then find functions for 0 8 X 18 Part 2 of 7 E OB 18 1 3 17 A sin 0 Simplify your answer Type an integer or a fraction OB The function is undefined 9 K 16 G 18 x 4 G Select the correct choice below and if necessary fill in the answer box to complete your choice HW Score 84 92 15 29 of O Points 0 of 1 OC 18 99H

11 M n Houn sait od mod odi dip P mbbelo olg EL s P 51 20 124 m

Ryan has scored 95 67 and 66 on his previous three tests What score does he need on his next test so that his average mean is 79 0

At a price of 2 21 per bushel the supply of a certain grain is 7300 million bushels and the demand is 7500 million bushels At a price of 2 26 per bushel the supply is 7700 milion demand is 7400 million bushels A Find a price supply equation of the form p mxb where p is the price in dollars and x is the supply in millions of bushels B Find a price demand equation of the form p mx b where p is the price in dollars and x is the demand in millions of bushels C Find the equilibrium point D Graph the price supply equation price demand equation and equilibrium point in the same coordinate system A The price supply equation is p 0 000125x 12975 Type an exact answer Use integers or decimals for any numbers in the equation 6 The price demand equation is p 0 0005 5 96 Type an exact answer Use integers or decimals for any numbers in the equation C The equilibrium point is 7460223 Type an ordered par Type an exact answer Use integers or decimals for any numbers in the expression D Choose the correct graph below 1000 CH 2000 OC 7000

2 cot 183 48

12 The shaded region represents the number of pounds of peanuts x and pounds of pecans y that a company plans to use in their trail mix List three combinations of peanuts and pecans that they can use in their recipe and three combinations that they cannot use Lesson 1 09 CAN USE CANNOT USE 40 35 30 25 5 20 15 10 5 0 o S 10 15 20 25 30 35 40 45 50 55

Solve graphically 1 x 4 1 x Graph y1 4 and y2 1 x using the graphing Click to enlarge

Graph the system of inequalities Show at least two points for each inequality Lesson 1 08 y 2 5x y x 4 y s 3 x 10 8 6 4 2 10 CO 6 4 2 2 4 6 8 10 NI and and and 4 6 8 10

A stack of logs has 17 logs on the bottom layer Each subsequent layer has 3 fewer logs than the previous layer If the top layer has two logs how many total logs are there in the pile How many logs are in the pile

3 Write the interval notation for this compound inequality Explain why parenthesis brackets etc Lesson 1 05 x 4 or x 8

A stack of logs has 52 logs on the bottom layer Each subsequent layer has 10 fewer logs than the previous layer If the top layer has two logs how many total logs are there in the pile How many loy the pile

Find three consecutive integers whose sum is 585 Hint if n represents the smallest of the three integers n 1 and n 2 represent the other two numbers Answer How to enter your answer opens in new window Keypad Keyboard Shortcu

Find the indicated sum 10 6j 4 j 1 10 6j 4 j 1 Simplify your answer

E Solve the following formula for the indicated variable 11 8 V X A a v vo 2ax solve for a