Question Algae are an important source of protein. Protein extraction will be carried out with hot water in a countercurrent multistage extractor from the algae feed containing 48.1% water-insoluble solids, 49% water and 2.9% protein by mass. Hot water will be used at a flow rate of 500 kg/h for 400 kg/h seaweed feeding. A maximum of 0.2% protein by mass is desired to remain in the downstream leaving the extractor. Calculate the ideal number of steps and the protein recovery rate required for this separation. Equilibrium data obtained by laboratory experiments are given below Protein (kg) 4.6 3.2 2.1 1.1 0.6 0.2 upstream composition Solid 0.2 0.1 0.0 0.0 0.0 0.0 95.2 96.7 97.9 98.9 99.4 99.8 YA N Protein 2.6 1.9 1.3 0.66 0.36 0.12 Solid downstream composition 43.2 41.7 40.1 39.8 39.7 39.6 54.20 56.40 58.60 59.54 59.94 60.28 XA N

Determine the speed of sound in carbon dioxide at 800 K and the Mach number of an aircraft moving in air at a velocity of 320 m/s. The gas constant of air is R = 0.1889 kJ/kg·K. Its specific heat ratio at room temperature is k = 1.289.

What evidence supports the conclusion that the SLC24A5 gene contributes to the production of melanin in humans in the same way it does in fish? Select all that apply. Hint: Review the section of the paper entitled “Conservation of golden gene structure and function in vertebrate evolution.” A)Injection of golden zebrafish larva with human SLC24A5 messenger RNA (mRNA) restores the fish’s ability to make melanin. B.)The slc24a5 protein produced by the gene in the zebrafish is 68 – 69% similar to the SLC24A5 protein in humans. C)At least 93% of East Asians share the same G allele of the SLC24A5 gene with Africans, yet East Asians are usually light skinned. D)The zebrafish slc24a5 gene and the human SLC24A5 gene are both expressed at high levels in skin and eyes.

(1 point) Determine the average rate of change of the following function between the given values of the variable: f(x) = x4 - - X; x = -2, x = 3 Average rate of change = .

Question Suppose three point masses are placed in the xy-plane as follows (assume coordinates are given in meters): mi = 5 kg, placed at (-2, -3) m2 = 3 kg, placed at (2,3) 'm3 = 2 kg, placed at (-3, -2) Find the center of mass of the system. Write your answer as an ordered pair Provide your answer below:

let f(x)= x^2-5, g(x)= 2x^3+x and p(x)= f(x)g(x). a) computedp/dx b) compute f'(x)g'(x)

Suppose that a company is developing a new touch-screen cell phone. Historically, 70% of their new phones have resulted in high consumer demand, whereas 30% have resulted in low consumer demand. The company has the decision of choosing between two models with different features that require different amount of investment and have different sales potential. Estimated profit/loss are shown in the payoff table below. State of Nature High demand, ($) Low demand, ($) Model 1 300,000 -40,000 Model 2 275,000 -15000 Now suppose the firm conducts a market research study to obtain sample information and better understand the nature of consumer demand. The market research cost $10,000 Analysis of past market research studies, conducted prior to introducing similar products, has found that the survey response will be either high or low. There is a 69% chance that the survey will return a high survey response (results) and there is a 31% chance that the survey will result in lo-demand response (results). The relevant conditional probabilities are as follows: P (high consumer demand, high survey response = 0.913) P (low consumer demand, low survey response = 0.087) P (high consumer demand, high survey response = 0.226) P (low consumer demand, low survey response = 0.774) Calculate the expected value of sample information (EVSI). Develop a decision tree and analyze using QM for Windows. Determine the optimal solution.