Numerade

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The figure below shows a tank of diameter D = 1.1 m containing water of height H = 6 m with a small hole of diameter d = 3.5 cm at the bottom of the tank. Assuming the flow to be incompressible and inviscid, estimate the time T taken for the water level in the tank to drop to a height of 1.7 m. Assume the flow to be quasi-steady, such that the horizontal water level falls at a much slower rate compared to the water velocity leaving the hole. The gravitational acceleration g is 9.81 m/s2. T = _____ s. Air Water H 0 D d g

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(30 pts.) The Defense Advanced Research Projects Agency (DARPA) has built a hypervelocity rail gun capable of launching a projectile at 11,300 m/sec as an Earth defense system. The rail gun has been built on the top of Haleakal in Hawaii, which is 3 km. above sea level, and launches its projectiles parallel to the Earth's surface. The US Space Force has detected an asteroid that is going to be captured by the Earth's gravity. The asteroid will be at the edge of the Earth's sphere of influence (SOI) five days (120 hours) from now, where we plan to intercept it. Assuming we can reach that distance (r = 9.2 x 108 m.), how long do we have to wait before launch so that our projectile arrives at the intercept point when the asteroid does, and with what velocity will our projectile impact the asteroid? If it must have a velocity of 2,500 m/s to destroy the asteroid, will we be able to save the Earth? Hint: You need to find the time of flight and determine when to launch the projectile to be there 96 hours from now.

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Question 62 ptsA theme park researcher wants to determine if a group of young adults will enjoy a new rollercoaster. The researcher asks 46 young adults exiting the ride to rate the ride and got 23 thumbs up ratings.Using the information gathered, find the probability of picking 3 people to rate the ride without replacement, and getting 3 thumbs up ratings. Report your answer as a decimal rounded to 4 decimal places.Hint: This is not a binomial distribution problem.$P($ all 3 giving thumbs up ratings

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6. Knoevanagel condensation

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Mass and weight are closely related - yet very different - physical quantities. For the following statements on the left, match them with whether they apply to mass or to weight on the right. measured in units of kilograms: mass the quantity of matter in an object: mass different on Mars than on Earth: weight the gravitational attraction on an object: weight measured in units of newtons: weight does not depend on gravity: weight

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Q1) Calculate the force the biceps muscle must exert to hold the forearm and its load as shown in the following Figure when: a) the mass of load ($m_L$) = 5 Kg, b) the mass of load ($m_L$) = 10 Kg, c) the mass of load ($m_L$) = 20 Kg and d) the mass of load ($m_L$) = 50 Kg. and compare these forces with the weight of the forearm plus its load. (You may take the data in the figure to be accurate).

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2. (Receivable Hedge) 8 points Assume that Freno Corp. will receive 1,000,000 pound in 180 days. It considers using forward, money market, option, or no hedging. Use the following information and answer the followings. Borrowing u.k. u.s. 3% 4% Deposit 2% 3% Call option: premium of $0.02, Exercise price $1.60 Put option: premium of $0.03, Exercise price $1.58 Spot rate of pound is $1.60 and 180 day forward rate is $1.62 The forecasted future spot rate in 180 days is: Possible future spot rate Probability $1.52 15% $1.57 20% $1.62 40% $1.67 25% 1-c. What is the probability that Money Market hedge outperforms no hedge? Ans: What is your recommendation? Give me the final amount for each strategies. M-M: Forward: Option: Naked: Recommendation without final numbers will get no credit. I want the four numbers!!!

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Problem #4 A regeneration plant produces 25 MW of electricity, 12 MW of process heat, and 9 MW of cooling. If the rate of heat input to the plant is 66 MW, determine the utilization factor of this plant.

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Using definitions and theorems seen in class, determine if each of the following functions is O(n), O(n^2), or O(n^3). Justify each answer with a proof. (Note: all logs in this question are in base 2) a) an + 1n + 8 b) n^2 + log n c) (n + 8)log n d) 10n^3 e) log(n^1 + n^2) f) 4n + 5

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One antivirus program can scan 161 files per second. If your computer contains 25,000 files, how long will the scan take in seconds?

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jennifer b.