Consider a Carnot-cycle heat pump with R22 as the working fluid; Heat is rejected from the R-22 at 100 F: during which process the R-22 changes from saturated vapor to saturated liquid. The heat is transferred to the R-22 at 30 F. a. Show the cycle on a T-diagram. b. Find the quality of the R-22 at the beginning and end of the isothermal heat addition process at 30 F. c. Determine the coefficient of performance for the cycle.

The following data on x = score on a measure of test anxiety and y = exam score for a sample of n = 9 students are consistent with summary quantities given in the paper "Effects of Humor on Test Anxiety and Performance" (Psychological Reports 11999]: 1203-1212): Higher values for x indicate higher levels of anxiety. a. Construct a scatterplot, and comment on the features of the plot. b. Does there appear to be a linear relationship between the two variables? How would you characterize the relationship? c. Compute the value of the correlation coefficient. Is the value of r consistent with your answer to Part (b)? d. Is it reasonable to conclude that test anxiety caused poor exam performance? Explain.

$$\begin{matrix} \text{x} & \text{23} & \text{14} & \text{14} & \text{0} & \text{17} & \text{20} & \text{20} & \text{15} & \text{21}\\ \text{y} & \text{43} & \text{59} & \text{48} & \text{77} & \text{50} & \text{52} & \text{46} & \text{51} & \text{51}\\ \end{matrix}$$

Performance data for a centrifugal fan of 3-ft diameter tested at 750 rpm are $$ \begin{matrix}\text{Volume flow} & \text{106} & \text{141} & \text{176}\\\mathrm{rate, Q (ft^{3}/s)}\\\text{Static pressure} & \text{0.075} & \text{0.073} & \text{0.064}\\\mathrm{rise, \Delta p (psi)}\\\text{Power output,} & \text{2.75} & \text{3.18} & \text{3.50}\\\mathrm{\scr{P} (hp)}\\\text{Volume flow} & \text{211} & \text{246} & \text{282}\\\mathrm{rate, Q (ft^{3}/s)}\\\text{Static pressure} & \text{0.050} & \text{0.033} & \text{0.016}\\\mathrm{rise, \Delta p (psi)}\\\text{Power output,} & \text{3.51} & \text{3.50} & \text{3.22}\\\mathrm{\scr{P} (hp)}\\\end{matrix} $$ Plot the performance data versus volume flow rate. Calculate static efficiency, and show the curve on the plot. Find the best efficiency point, and specify the fan rating at this point.

Apple Inc. is a multinational technology company that designs, develops, manufactures, and sells innovative consumer electronics products and services around the globe. Its products include laptop (e.g., MacBook) and desktop (e.g., iMac) computers, mobile phones (e.g., iPhone), MP3 players (e.g., iPod nano), tablets (e.g., iPad), and various other devices (e.g., Apple Watch, Apple TV, etc.). Its services include personalized, onsite (e.g., at Apple Store) group and individual training sessions, fitness notifications (e.g., from Apple Watch), audio and video streaming, and online and phone help services. Founded in Cupertino, California, in 1976, Apple has been a success as measured by almost any standard. As one example, Apple recently reported the largest ever recorded quarterly profit by a single public corporation! While a history of such amazing performance is admirable, publicly traded companies must always focus on the future and convince investors, and various other key stakeholders, that they will maintain-or even improve-performance in the future.

1. Identify the five most important stakeholders for Apple Inc. Briefly explain how you selected these five stakeholders and why they are important to Apple.

2. Describe the specific approach you believe Apple’s management team should employ to engage with each of the five stakeholders you identified in Requirement 1. For each stakeholder engagement approach, briefly explain the type of information or performance measures that Apple’s management team should provide to the stakeholder (or receive from the stakeholder) to improve the effectiveness of the engagement.

One yardstick for measuring how steadily-if slowly-athletic performance has improved is the mile run. In 1954, Roger Bannister of Britain cracked the 4-minute mark, setting the record for running a mile in 3 minutes, 59.4 seconds, or 239.4 seconds. In the half-century since then, the record has decreased by 0.3 second per year. If this trend continues, in which year will someone run a 3-minute, or 180-second, mile?

For an account that earns interest compounded annually, use a calculator to find the balance of the account. Round your answer to the nearest cent. P=$2000, r=7.5%, t=20 years

One yardstick for measuring how steadily if slowly athletic performance has improved is the mile run. In 1954, Roger Bannister of Britain cracked the 4-minute mark, setting the record for running a mile in 3 minutes, 59.4 seconds, or 239.4 seconds. In the half-century since then, the record has decreased by 0.3 second per year. Express the record time for the mile run, M, as a function of the number of years after 1954, x.

How much money is

$$\frac { 1 } { 2 }$$

of $6.54?

Sketch the region bounded by the given curves and find the area of the region.

$$y=e^x, \quad y=e^{3 x}, \quad x=1$$

An axial fan $2 \mathrm{~m}$ in diameter is used in a wind tunnel as shown (test section $1.2 \mathrm{~m}$ in diameter; test section velocity of $60 \mathrm{~m} / \mathrm{s}$ ). The rotational speed of the fan is $1800 \mathrm{rpm}$. Assume the density of the air is constant at $1.2 \mathrm{~kg} / \mathrm{m}^3$. There are negligible losses in the tunnel. The performance curve of the fan is identical to that shown in the mentioned figure. Compute the power needed to operate the fan.

Point out the differences between a microburst and a macroburst.

A new surgical procedure is said to be successful 80% of the time. Suppose the operation is performed five times and the results are assumed to be independent of one another. a. What is the probability that all five operations are successful? b. What is the probability that exactly four are successful? c. What is the probability that less than two are successful? d. If less than two operations were successful, how would you feel about the performance of the surgical team?

Evaluate the function at each specified value of the independent variable and simplify.

$$h(t)=t^2-2 t$$

(a) $h(2)$

Find the centroid for the region described. -A lamina with $\rho=2$ over the region between the line y = 2x and the parabola $y=x^{2}$