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1. The hypotenuse of a right triangle measures $2\sqrt{15}$ centimeters and its shorter leg measures $2\sqrt{6}$ centimeters. What is the measure of the larger acute angle of the triangle? Round your answer to the nearest tenth of a degree. Answer: 2. Corey spies a bald eagle in a tall tree. He estimates the height of the tree to be 80 feet and the angle of elevation to the bird from where he stands to be $68^\circ$. The leaves on the tree make it difficult for Corey to watch the bird, so he takes several steps away from the tree to get a better view. He now estimates his angle of elevation to be $41^\circ$. How many feet did Corey step back to gain a better view of the bird? Round your answer to the nearest hundredth of a foot. Answer: 3. What is the exact value of the trigonometric expression? $$\frac{\tan\left(-\frac{2\pi}{3}\right)}{\sin\left(\frac{7\pi}{4}\right)} - \sec(-\pi)$$ State your answer in simplified radical form. Answer:

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Q1. What is meant by HDL. Explain its physical significance along with its different types. [CO-1]

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Affection Exchange Theory focuses on affection as a social adaptation related to a fundamental desire for relationships. Group of answer choices True False

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An opposable thumb is the condition in which the thumb (or first digit) is capable of bending in such a way that it can touch all the other digits on the hand or foot. Humans and opossums both have this trait, but their most recent common ancestor did not. Which of the following terms best describes this similarity between humans and opossums? Monophyly Homoplasy Autopolyploidy Homology

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The value of exports minus the value of imports in a period is called the

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2. What double precision floating point number is represented by the following 64-bit binary? Show your work. 0xC0557C00 00000000 3. What instruction at location 0x00400014 is represented by the following binary? Show your work: 0x110AFFFB

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23 Phase diagram of ideal mixtures Boiling Temperature of Acetone/ethanol Mixture (K) 355 350 345 340 335 330 Vapour Dew-point Curve Liquid. Bubble-point Curve 325 0.1 0.2 03 04 0.5 0.6 0.7 0.8 Mole Fraction (x1, y1) Figure 2: Phase diagram of two substances that are completely miscible. The graph is taken from X. Yang, Y. Yan, R. J. McGlen, Frontiers in Heat Pipes 2012, 2. i. A solution having composition $x_A$ = 0.4 is heated to 350 °C. What is the composition of the phase(s) at this point? (A... acetone, E... ethanol) ii. The mixture is then cooled to 340 °C. (a) Estimate the composition of the corresponding phases in the diagram. (b) Calculate the weight-% of acetone in the gas phase ($\omega_{A(g)}$). (c) Calculate the relative amount of the two phases. iii. The mixture is further cooled until the temperature reaches the boiling curve. The vapor at this point is condensed to achieve a mixture with a different composition $x_{A2}$. Which value do we get for $x_{A2}$? Signalize the composition in the diagram. iv. This kind of phase diagram is important in a well known industrial process. How is it called?

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Let £$_{2000}$ = -0.06 be the cyclical component of Real GDP in year 2000, and suppose that g$_{2000}$ = 8.00 is the trend of the natural logarithm of Real GDP in year 2000. Suppose that the original series for Real GDP is measured in millions of chained 2012 dollars. Then: Real GDP in 2000 was approximately 2,807.36 million of chained 2012 dollars. Real GDP in 2000 was approximately 3,165.29 million of chained 2012 dollars. Real GDP in 2000 was approximately 8.06 billion of chained 2012 dollars. Real GDP in 2000 was approximately 7.94 billion of chained 2012 dollars.

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Macmillan Learning Calculate the molarity of the two solutions. The first solution contains 0.250 mol of NaOH in 1.20 L of solution. molarity: The second solution contains 20.1 g of NaCl in 787 ml of solution. molarity: x10 TOOLS M M

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3.3 A horizontal pipeline supplying water to a hydraulic machine is 1800m long. The gross head available is 200m and the output of the machine at full load which has an efficiency of 87%, is 135kW. Determine the diameter of the pipe if the losses in the pipeline at full load conditions are 14% of the gross head available. Take $f = 0.006$ and ignore losses other than friction. Show the energy gradient lines in your diagram depicting the friction head and the net available head. [12]

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