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Using the Divergence Theorem, find the outward flux of F across the boundary of the region D. F = sin yi + xzj + 4zk ; D: the thick sphere $1 \le x^2 + y^2 + z^2 \le 4$ $\frac{28}{3}\pi$ $32\pi$ $112\pi$ $\frac{112}{3}\pi$

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Multiple Choice 2 points Which condition typically results from sexually transmitted infections because of bacteria entering the reproductive tract causing inflammation of the uterine tubes? Orchitis Prostatitis Oophoritis Salpingitis 1/50 Next

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Consider a 4-m high, 6-m wide and 0.3-m-thick brick wall whose thermal conductivity is $k = 0.8$ W/m·K. On a certain day, the temperatures of the inner and outer surfaces of the wall are measured to be $14^\circ C$ and $6^\circ C$, respectively. Find the thermal resistance of the wall. Determine the rate of heat loss through the wall on that day. Ans: 1.563 x 10-2, 512 W

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In a disease associated with a nucleotide repeat, anticipation is often noticed in subsequent generations, usually associated with a more severe phenotype. Which of the following is a more likely cause of anticipation? A. Highly repeated sequences are expressed more often. B. Family members are exposed to the same mutagens. C. Children of affected parents receive more attention from physicians than other children. D. Alleles with a large number of repeats are unstable and change size from generation to generation.

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2. A crate of mass 12 kg is being pushed by a force directly behind it. The force is 80 N. The coefficient of kinetic friction is 0.18. The person pushing the crate moves the crate 6 m and the crate's initial velocity is 4 m/s. [3 marks] a. How much work does the person do on the crate? b. What is the crate's final velocity?

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The LIFO reserve is O the difference between the cost of the inventory under LIFO and the cost under average-cost. O the amount used to adjust inventory to historical cost. O an amount used to adjust inventory to the lower of cost or market. O the difference between the cost of the inventory under LIFO and the cost under FIFO.

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CD Manufacturing Inc. wants the mean lengths of the "cuts" on a CD to be 170 seconds. This will allow the disk jockeys to have plenty of time for commercials within each 10-minute segment. Assume the distribution of the length of the cuts follows a normal distribution with a standard deviation of 11 seconds. Suppose that we select a sample of 25 cuts from various CDs sold by CRA CDs Inc. For answering the following questions always round z values to 2 decimal places. a) What is the probability that the sample means will be greater than 175 seconds? (Round your answer to 4 decimal places as needed) Probability: b) What is the probability that the sample means will be less than 169 seconds? (Round your answer to 4 decimal places as needed) Probability: c) What is the probability that the sample means will be greater than 169 but less than 175 seconds? (Round your answer to 4 decimal places as needed)

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Which of the following industries would you expect to have the highest equilibrium quantity? Group of answer choices Bertrand oligopoly. All of these industries should have the same equilibrium quantity. Monopoly. Stackelberg oligopoly. Cournot oligopoly.

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DNA isolated from a bacterial virus N77 contains 20% A, 22% T, 33% C, and 25% G. Does this result surprise you? Why or why not? How might you explain these experimental results?

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Beng Seng Construction Pte Ltd, with a December accounting year-end, entered into a contract in March 2022 to build a flyover for the government. The project is expected to be completed in April 2023. The contract price is $2 million and the other data pertaining to the project during the construction period are as follows: Cost incurred during the year Estimated additional costs to complete Billings during the year Cash collections during the year Required: 2022 $1,200,000 400,000 800,000 600,000 (a) For EACH of the years ended 2022 and 2023, calculate the following (1) percentage of completion to-date; (ii) revenue recognized for the year; 2023 $440,000 1,200,000 1,400,000

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