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the height of a rocket is modeled by the equation h=-(t-8)^2+65 here h is height in meters and t is the time in seconds. what is the max height, what height is it launched from, how long is the rocket above 40m The financial statement that is organized in three sections (operating, investing and financing activities) is the:a) statement of financial positionb) statement of cash flowsc) statement of comprehensive incomed) statement of changes in shareholder's equity Let X'be a discrete random variable with probability mass function p given by: a -5 -4 1 3 6 p(a) 0.1 0.3 0.25 0.2 0.15 Find E(X), Var(X), E(4X-5) and Var (3X+2). zuckerman conducted research on a limited-domain aspect of personality called Would you expect the most reliable cars to be the most expensive? Consumer Reports evaluated 15 of the best sedans. Reliability was evaluated on a 5-point scale: poor (1), fair (2), good (3), very good (4), and excellent (5). The prices and reliability ratings of these 15 cars are presented in the following table (Consumer Reports, February 2004).\begin{tabular}{|c|c|c|}\hline Make and Model & Reclealhlisy & Price (5) \\\hline Acsuta Tl. & 4 & 37.190 \\\hline BMW $340 i$ & 3 & 4i) 570 \\\hline 1exes $[54 x)$ & 4 & 34,104 \\\hline Lexts ES330 & 5 & 35,174 \\\hline Mercedes-Bene Cz20 & 1 & 42230 \\\hline Lincoln LS Preminin (V6 & 3. & 38.225 \\\hline Audi A4 3.0 Quitro & 2 & 37.605 \\\hline Cadillac CTS & 1 & 37.605 \\\hline Niskan Maximat $3.5 \mathrm{SE}$ & 4 & 34.3010 \\\hline Infiniti 135 & 5 & $33,8+5$ \\\hline Saab 9-3 Aeno & 3 & 36.910 \\\hline Infiniti $\mathrm{G} 35$ & 4 & 34,695 \\\hline Jaguar X-Type 30 & i & 37,495 \\\hline Saab 9.5 Are & 3 & 36,955 \\\hline Volvo $S(A) 2$ sI & 3 & 33,800 \\\hline\end{tabular}a) Calculate SCE, STC and SCR.b) Calculate the coefficient of determination $r^{\wedge} 2$ Comment on the goodness of fit.c) Calculate the sample correlation coefficient Regarding the Open Doors: Extending Hospitalityto Travelers with Disabilities Case Study, please answer the discussion questions below.1. How did ODO operationalize the definition of an adult with a disability? Whatarguments could you make that the definition was too inclusive or too narrow?2. Analyze the research designs various components. Identify any potential problemsand explain the ramifications of these design issues. Identify potential strengths ofthe design.3. What is a hybrid (dual-modality) methodology? What are the pros and cons of thehybrid methodology used in this study?4. Francie Turk had no prior experience with researching Americans with disabilities.Assume you have similar background; what would you have done in the exploratoryphase of this project to become familiar with the frustrations and hurdles that adultswith disabilities face when traveling? Compare your research process with whatODO did. What could ODO have gained from incorporating your methods?5. Brainstorm lists of potential hotel, restaurant, and rental car accommodations to beevaluated for adults with disabilities and create your own paired-comparison question.During a phone interview, how quickly could you cover this question? What are theadvantages and disadvantages to using this measurement scale in the phone surveyin comparison to using it in the online survey?6. What are the management, research, and investigative questions driving the nextAdults with Disabilities: Travel and Hospitality Study? Question 1 [20 Marks] 1.1 Define a periodic function Z [2] 1.2 Define and give an example with range (period) of the following functions: (i) An even function of Z [3] (ii) An old function Z [3] 1.3 Find the Fourier Series of the square wave, for which the function , over one period is [12] Question 2 [ 27 Marks] 2.1 Use the Euler's method to obtain the approximate value of (i) y(1.3) for the solution of y'= 2xy , y(1) = 1 and h = 0.1 [8] = 2.2 Use the Runge-Kutta method with to obtain an approximation of for the solution of , with initial conditions [Hint, only one iteration is needed] [9] 2.3 Solve the differential equation using Euler's scheme: 30 + 5y-1 le* dx (0)-13 y(0.5) - ?, h = 0.25 Given the initial conditions: VO)-7, mimo [10] Q.1.2 Discuss the resources you would need to start yourbusiness as entrepreneurs. (10)Consider the following scenario and then answer the questions that follow. You and two friends have identified a gap in the market in your hometown for work-from-home business clothing. This clothing suppose the firm notices that consumers tend to buy both good A and good B. as a results, the firm considers practicing bundling. the information below shows consumer 1:maximum price for good A = R 160maximum price for good B = R250consumer 2:maximum price for good A = 400maximum price for good B = 1001.1 what is the maximum amount of revenue that the firm can generate if it sells good A and good B separately ( (without bunding)?1.2 calculate the profit maximising bundleprice1.3 calculate the total revenue that the optimal bundled price will generate for the firm? A factory is considering purchasing a lathe machine for the production. Each machine will cost $90.000 and have an operating and maintenance cost that of $20,000 each year. Assume the salvage value is $21.000 at the end of 5 years and the interest rate is 11%. What is the annual equivalent cost of owning and operating each machine? Select one: a. 25000 b. 35175 c. 55000 d. 40979 e. 44644f. 1.31370 in the traditional systems development lifecycle, end users: determine whether the integral is convergent or divergent. [infinity] 5 1 x2 x dx x2 Evaluate da. (22 + 1)(x2 + 4) Hint:Consider C the following contour, where Lu+12 YR -R R the molecular weight is always a whole-number multiple of the empirical formula weight. group of answer choices true false Because of corona pandemic, many oil producers have experienced a decrease in their production and the government in this economy has decreased tax on consumption simultaneously. Assume that the economy is initially in long run equilibrium and holding everything else constant, use the AD / SRAS diagram to explain the following:1. What will happen to this economy in short run? Explain. (3 points)2. What will happen to this economy in long run? Explain. (2 points)3. What will happen to real GDP per capita in long run? Explain. (2 points)4. Let assume that you are hired as a consultant to fix this economy. Use all what you have learned in Econ 103 to provide convincing recommendations to interested parties. (4 points)Hint: Answer shouldnt exceed four lines. The temperature of a person during a certain illness is given by the following equation, where T is the temperature (degree F) at time t, in days. Find the relative extreme points and sketch a graph of the function T(t)= -0.1t^2 + 0.8t + 98.6. 0 lessthanorequalto t lessthanorequalto 8 What are the relative extreme points? Select the correct choice below and fill in the answer box to complete your choice (Simplify your answer. Type an ordered pair Use integers or decimals for any numbers in the expression Use a comma to separate answers as needed.) The relative minimum point(s) is/are The relative maximum point(s) is/are The relative minimum point(s) is/are and the relative maximum point(s) is/are Sketch a graph of the function. Choose the correct graph below. A normal distribution is a continuous, symmetric, bell-shapeddistribution of a variable. The mean, median, and mode are equaland are located at the center of the distribution.A.True B. False In the RSA public key cryptography system (S. N.e,d, E, D) with N = pq, where p 73,9 = 97 (a) (7 pts) Which of the two numbers 256, 385 can be an encryption key? If one of them can be an encryption key e, find its corresponding decryption key d. (b) (5 pts) How many possible pairs (e,d) of encryption and decryption keys can be made for the RSA system? Victoria Enterprises expects earnings before interest and taxes (EBIT) next year of $1.8 million. Its depreciation and capital expenditures will both be $300,000, and it expects its capital expenditures to always equal its depreciation. Its working capital will increase by $47,000 over the next year. Its tax rate is 25%. If its WACC is 8% and its FCFs are expected to increase at 6% per year in perpetuity, what is its enterprise value? The company's enterprise value is $ (Round to the nearest dollar.) For the following transactions, analyze the accountingtransactions using the accounting equation frameworka) Introduced Rs500000 through a cheque by the Owner asthe Initial capital in the business