Basic Math Questions and Answers

Q2 Attempt all the questions below 10 marks a Show that 1 3 2n 1 n2 for n 3 Show that 1 3 5 2n 1 n2

The point P in Quadrant III has y coordinate 13 Find the following a cost b sin t c cot t d cott tant sect Solution a c b d

What would be the prerequisite for Task D in the task graph Answer and explain B 2 Start A 3 2 4 D F 6 5 F 7 Fin

o be sure to find the zero in interval a x b of a function f x using the bisection method th llowing must be satisfied Select all that apply a f x is continuous in interval a x b b f x is continuous in interval a x b c the zero must have odd multiplicity d f x is differentiable in interval a x b

ship is sailing east At one point the bearing of a submerged rock is 48 20 After the ship has sailed 14 5 mi the bearing of the rock has become 306 40 Find the distance of the ship from the rock at the latter point he distance is approximately mi Do not round until the final answer Then round to the nearest tenth as needed CCED Rock W 14 5 mi

Find the vertex focus and directrix of the parabola 3y 6 x y 10 Then sketch the graph b sure to label the axes with the appropriate variables and all critical points i e r and y intercepts minimum and or maximums etc

Tessa invests 5500 in a new savings account which earns 4 1 annual interest compounded continuously What will be the value of her investment after 7 years Round to the nearest cent Interest formulas

20 log 100 y 1 10 100

Eva invests 6600 in a new savings account which earns 5 5 annual interest compounded quarterly What will be the value of her investment after 2 years Round to the nearest cent Interest formula

In 2000 the population of a country reached 1 billion and in 2025 it is projected to be 1 5 billion a Find values for C and a so that P x Ca X 2000 models the population of a country in year x b Estimate the country s population in 2008 c Use P to determine the year when the country s population might reach 1 6 billion a C Type an integer or decimal rounded to five decimal places as needed a Type an integer or decimal rounded to five decimal places as needed b The population in 2008 was billion Round to two decimal places as needed c The country s population might reach 1 6 billion in the year Type a whole number

d the requirements uirement 1 Prepare a comparative common size income statement for Hooser D ne tenth percent X X Enter the percentages without the For example enter 1 Sales Revenue enses Hooser Designs Inc Common Size Income Statement Years Ended December 31 2024 and 2023 2024 ncome Cost of Goods Sold Selling and Administrative Expenses Other Expenses Total Expenses 2023 Data table Hooser Designs Inc Comparative Income Statement Years Ended December 31 2024 and 2023 2024 Net Sales Revenue Expenses Cost of Goods Sold Selling and Administrative Expenses Other Expenses Total Expenses Net Income 2023 428 000 375 000 203 000 96 000 8 000 307 000 121 000 189 000 95 350 3 250 287 600 87 400

Rota Logistics has these account balances at December 31 2024 Click the icon to view the account balances Requirements 1 Calculate Spirit of South Dakota Logistics current ratio 2 How much in current assets does Spirit of South Dakota Logistics have for every dollar of current liabilities that it owes Requirement 1 Calculate Spirit of South Dakota Logistics current ratio Round your answer to two decimal places X XX The company has Data table Requirement 2 How much in current assets does Spirit of South Dakota Logistics have for every dollar of current liabilities that it owes Enter the amount to the ne of current assets for every dollar of current liabilities that it owes Notes Payable long term Prepaid Rent Salaries Payable Service Revenue Office Supplies Accumulated Depreciation Equip Advertising Expense 10 000 2 500 1 500 13 900 1 200 3 500 700 Current ratio COL Accounts Payable Accounts Receivable Cash Depreciation Expense Equip Equipment Common Stock Rent Expense 4 200 6 700 2 900 700 19 000 1 700 1 100 X

An Aquatic Apocalypse Solubility vs Temperature Part II Use the data below to evaluate whether nitrates or phosphates were involved in the fish kill Part I Fish Kill Data Table I White River Water Temperature and Rainfall by Month May June July Aug Sept Oct Nov Dec Jan Feb Mar Apr 18 1 19 5 16 5 14 0 12 5 11 0 15 0 17 0 20 5 23 0 23 5 24 0 Water Temp C Rainfall 29 5 33 1 mm 19 5 17 5 15 0 4 Which month had the most rainfall 14 5 17 2 14 1 16 9 5 Which month had the least rainfall 1 Which month had the highest river water temperature 2 Which month had the lowest river water temperature 3 How would the temperature of the water likely affect the solubility of dissolved solid solutes Data taken by Anderson Publicly Owned Treatment Works 12 7 13 3 17 2 6 In which months would you expect to have more runoff from the fields to the river 7 In which months would you expect more dissolved solutes in the water Explain 8 Review the background information a In what month did the fish kill happen b What was the average water temperature and rainfall for this month and the month before c What would you expect farm land to look like during this month 9 How to nitrates and phosphates generally cause fish kills

x 2 7 Let g x 4 if 3 x 1 if 1 x 3 2x 1 if x 3 a Evaluate g 2 g 1 g 3 and g 5 b Sketch a graph of y g x

Administrative applications may support clinical activities to support positive outcomes of care True False

The coming together of information system architecture is not influenced by organizational objectives and strategies True False

Enterprise HIS architecture facilitates interoperability between clinical data medicall coding and billing True O False

A healthcare manager administrator needs IT expertise to become an IT project manager True False

5 Wayne Arnsberg bought 240 shares of TRE stock He paid a total of 28 656 He sold at 115 40 per share He paid a 79 95 sales commission

P 8 6 4 20 2 4 2 B D 2 6 8 6 D F For this question choose TWO answers Which of the following statements about lines 1 and p are TRUE E A The slope of line 1 is equal to the slope of line p Lines 1 and p are parallel Lines 1 and p are skew Lines 1 and p are perpendicular E The slope of line 1 is not equal to the slope of p

When f x is divided by x 2 the remainder is 0 Given f x x 3 6x 2 x 30 which conclusion about f x is NOT true

Write the proportion in lowest terms 1g to 500m

When a number is added to the number or the number is increased to square the number is gained that is 8a greater than when the given number is deducted or then the change is raised to square

2 a What is the 3D figure that is produced when the triangle below is continuously rotated around m b What is the height of the 3D figure What is the diameter of the 3D figure 8

Find the slope intercept form of the line that satisfies the given conditions Through A 6 4 and B 5 10

2 1 point A quadratic function written in standard form f x ax bx c using parameters a and c provides information about the direction of opening and the axis of symmetry the direction of opening and the vertex the direction of opening and the y intercept d the direction of opening b

7 1 point The x intercepts a 3 and 2 b of y x 3 x 2 are 3 and 2 c 3 and 2 d 3 and 2

9 1 point The axis of symmetry of y 5x x 4 is ay 2 b x 2 C x 4 d x 2

11 1 point Given the graph of y ar what is the value of a S CO nu B

15 1 point The graph of y x is translated 2 units to the left and 4 units down What is the equation of the graph a y x 2 4 c y x 2 4 b y x 2 4 d y x 2 2 4

13 1 point The graph of y ax where 0 a 1 compared to the graph of y x is called a a reflection in the y axis vertical stretch by a factor of a b reflection in the x axis vertical compression by a factor of a c d

14 1 point Which is the graph of the function f x x 1 2 R N 1 N 24 L 7 N 7 J

5 1 point Which of these quadratic functions does not have a minimum value y x 4 2 8 y x 4x 2 y 3x2 6x 5 y 4 x 2 x 1 a b c d

8 1 point The y intercept of the function y 2 x 4 7 is a 25 b 7 C 4 d 0

1 1 point Which equation is a quadratic function a x 2y 36 b 10 3y 2x y2 3 x 2 2 2 d 3x y 4

45 000 for business expansion at 8 interest which has to be repaid at the end of the fifth year What is the simple interest for the first month 300 350 450 500

The sum of three numbers is 13 The sum of twice the first number 5 times the second number and 6 times the third number is 50 The difference between 8 times the first number and the second sumber is 44 Find the three numbers Mest number second number em

r 8 4 0 Submit Answer 6 66 Points DETAILS LARPCALC11 10 7 074 Convert the rectangular equation to polar form Assume a 0

The total arm and blade of a windshield wiper is 12 in long and rotates back and forth through an angle of 91 The shaded region in the figure is the portion of the windshield cleaned by the 10 in wiper blade What is the area of the region cleaned The area of the region cleaned is in Round to the nearest tenth as needed MCHUN 12 in 10 in

Find the lengths of the arc of a circle of radius 10 meters subtended by the central angle 12 s arc length meters Type an integer or decimal rounded to three decimal places as needed

The minute hand of a clock is 11 inches long How far does the tip of the minute hand move in 25 minutes The tip of the minute hand moves inches Type an integer or decimal rounded to three decimal places as needed

To win at LOTTO in one state one must correctly select 7 numbers from a collection of 49 numbers 1 through 49 The orde in which the selection is made does not matter How many different selections are possible There are different LOTTO selections

2 Who was Martin Luther King Jr and what were his beliefs Who was Malcolm X and what were his beliefs How were the two men similar How were the two men different What happened to both men

Pierre inherited 137 200 from his uncle and decided to invest the money He put part of the money in a money market ac that earns 6 3 simple interest The remaining money was invested in a stock that returned 6 in the first year and a mu fund that lost 3 in the first year He invested 10 000 more in the stock than in the mutual fund and his net gain for 1 y 2640 Determine the amount invested in each account Step 1 of 10 Label the variables With three unknowns we need three independent equations Let x represent the amount put in the money market account Let y represent the amount invested in the stock Let z represent the amount invested in the mutual fund The total amount invested was 137 200

A principal of 870 amounts to 1105 10 after 2 years The interest rate is compounded quarterly What is the annual interest rate

A principal of 1200 amounts to 1947 42 at 5 5 compounded annually How long does it take in years

A certain species of alligators is to be introduced into a swamp and wildlife experts estimate the population will grow to P t 803 3 where t represents the number of years from the time of introduction Step 1 of 2 What is the tripling time for this population of alligators Answer How to enter your answer opens in new window Ke Keyboard She

Let an neN C R be a sequence and let a E R be a number Show that the following are equivalent Hint For the harder implication do a proof by contradiction a an a b For every subsequence an jeN C an neN there exists a further subsequence an kEN C ani jen which converges to a

Determine A Friday Sunday Wednesday Thursday B Friday Thursday Which of the following are true statements Select all that apply ACB ACB BCA BCA

List all the subsets of the given set blackberry grapefruit chicken Choose the answer that lists all of the subsets of blackberry grapefruit ch OA blackberry grapefruit chicken blackberry grapefruit blackberry chicken grapefruit chicken OB blackberry grapefruit chicken blackberry grapefruit blackberry chicken grapefruit chicken blackberry grapefruit chicken OC blackberry grapefruit chicken blackberry grapefruit blackberry chicken grapefruit chicken O D blackberry grapefruit chicken blackberry grapefruit blackberry chicken grapefruit chicken blackberry grapefruit chicken