Consider a 1.5m long 30cm wide flat plate exposed to two laminar flows of air (6 m/s free stream top surface and 12m/s free stream bottom surface) at 25ºC and atmospheric pressure. The top and bottom surfaces of the plate are electrically heated (1.5 kW total power, heaters assumed infinitesimally thin). The plate consists of 3 layers: a top and bottom layer of 1.0 cm balsa wood (k = 0.055 W/(m·K)), and a middle layer of 2.0 cm plywood (k = 0.12 W/(m·K)). Assume all of the following conditions apply: a) the generated surface heat flux on the top and the bottom surfaces of the plate is uniform; b) the heat is transferred by convection on both sides of the plate; c) radiation heat transfer is negligible; and d) heat transfer is one-dimensional through the plate and no heat is transferred along the plate. Assume transition occurs at Rex=30,000 for this plate.

•Calculate and plot the expected top, bottom and center temperatures in °C as a function of distance from the leading edge of the plate.

Osteoporosis is a degenerative disease that primarily affects women over the age of 49. A research analyst wants to forecast sales of StrongBones, a prescription drug for treating this debilitating disease. She uses the model Sales = β₀ + β₁Population + β₂Income + ε, where Sales refers to the sales of StrongBones (in $1,000,000s), Population is the number of women over the age of 49 (in millions), and Income is the average income of women over the age of 49 (in $1,000s). She collects data on 39 cities across the United States and obtains the following regression results:

a. What is the sample regression equation? (Enter your answers in millions rounded to 2 decimal places.)

b-1. Interpret the coefficient of population.

b-2. Interpret the coefficient of income.

c. Predict sales if a city has 1.0 million women over the age of 49 and their average income is $35,000. (Enter your answer in millions rounded to 2 decimal places.)

You are asked to write a program to help a small company calculate the amount of money to pay their employees. In this simplistic world, the company has exactly three employees. However, the number of hours per employee may vary. The company will apply the same tax rate to every employee.

Problem Description

Inputs (entered by user of the program)

• Name of first employee

• Hourly rate

• Number of hours worked

• Name of second employee

• Hourly rate

• Number of hours worked

• Name of third employee

• Hourly rate

• Number of hours worked

• Tax rate (between 0 and 1.0)

Processing and Output

• Calculate and display the amount each employee will be paid before taxes

• Calculate and display the amount each employee will be taxed

• Calculate and display the amount each employee will be paid after taxes have been withheld

• Calculate and display the total amount of taxes the company will withhold

• Display your name

You may separate the processing/calculation step from the output step or you may combine those steps. It is your choice.

Suppose an electric utility is considering whether to install a wind farm with 30 megawatts (mw) of capacity or a natural gas generator that would produce the same amount of annual electricity. An engineering study showed that the site for the wind farm would produce a load factor of 25 percent. (Actual generation would be 25 percent of capacity on average over the course of a year.) The natural gas plant could be operated with a load factor of 50 percent. Capital costs for the wind farm would $1.5 million per megawatt, compared to $1.0 million per megawatt for the natural gas plant. Operating costs for both plants would be $2 million per year excluding fuel costs.

The electric utility is investor-owned and subject to rate of return regulation. The capital costs are allowed in the rate base, but not operating or fuel costs. If the regulatory agency allows the firm to earn a 10 percent return on the rate base, what would be the regulated price of electricity with each type of generation? Which source would the utility prefer? Explain how you derived your answer.

The formula that governs the depression of freezing point and elevation of boiling point for a solution consisting of a solute dissolved in a solvent is: ΔT = i × kb × m

where: ΔT = the temperature change between a pure solvent and its solution

i = the number of species per mole of solute that are dissolved in the solvent (e.g., i = 1 for a non-ionic solute that does not break apart into ions; i = 2 for an ionic solute such as KBr that breaks apart into two ions, K+ and Br−, and so on) kb = a constant related to the solvent m = molality of the solute (molality, m = moles of solute / kg of solvent)

Using the above equation, how many grams of salt (CaCl2) would need to be added to 1 L of water in order for the boiling point of the solution to reach 108.5 °C? Assume that the density of water is 1.0 g/mL and that CaCl2 completely dissociates into three ions − i.e., a Ca2+ ion and two Cl− ions. The boiling point constant, kb, for water is 0.515 °C/m. Report your answer to the nearest 0.1 g

___g

Jack Hammer Company completed the following transactions. The annual accounting period ends December 31.

Required:

1. For each listed transaction and related adjusting entry, indicate the accounts, amounts, and effects on the accounting equation.
2. For each item, indicate whether the debt-to-assets ratio is increased or decreased or there is no change. (Assume Jack Hammer’s debt-to-assets ratio is less than 1.0.)

In a laboratory experiment to investigate the effect of sewage effluent on the fecundity of freshwater shrimps (Gammarus pulex) a number of populations of shrimps were placed into large vessels with different concentrations of organic matter. Females from each vessel were then dissected to see how many eggs they were carrying.

(i) Plot a graph of the relationship using R/SPSS. Obtain estimates of the slope and intercept of the line of best fit through the data and predict the mean fecundity of Gammarus when reared with 3.2 g/l organic matter.

(ii) Test the NH that there is no underlying linear relationship (i.e. zero slope at population level) between fecundity and organic matter. Visually examine the distribution of residuals and comment on whether the assumptions of the test appear valid. What is the estimated variance (i.e. the estimated “error”) of residuals around the fitted line?

write me all steps ,please.

1. A particle of mass m is in the ground state of an infinite potential energy well of width L. The energy of the particle is 2.0 eV

(a) How much energy must be added to the particle to cause it to jump to the first excited state? [ show your solution]

(1) 2.0 eV             (2) 4.0 eV              (3) 6.0 eV                  (4) 8.0 eV

(b) Suppose the particle is in the second excited state (n = 3) from which it can jump to any lower state by emitting a photon whose energy is equal to the difference in the

energies of the two states. Considering all possible jumps that lead eventually to the ground state, which photon energy would NOT be observed? [ show your solution]

(1) 6.0 eV           (2) 10.0 eV                (3) 12.0 eV                     (4) 16.0 eV

(c) What would be the ground-state energy of this particle if the width of the well were changed to 2L? [ show your solution]

(1) 0.5 eV               (2) 1.0 eV                    (3) 2.0 eV                     (4) 4.0 eV