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Explain the role of a theoretical plate in fractional distillation in 3-4 sentences.

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Gibson Corporation produces and sells a single product. Data concerning that product appear below: Per Unit Percent of Sales Selling price $180 100% Variable expenses 36 20% Contribution margin $144 80% Fixed expenses are $1,133,000 per month. The company is currently selling 9,000 units per month. Management is considering using a new component that would increase the unit variable cost by $7. Since the new component would increase the features of the company's product, the marketing manager predicts that monthly sales would increase by 500 units. What should be the overall effect on the company's monthly net operating income of this change? Group of answer choices increase in $5,500 decrease of $68,500 decrease of $5,500 increase of $68,500

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Predict the major organic products of the following reactions, or write the reaction conditions that would give a high yield of the indicated product from the given starting material. A) 1) HNO$_3$, H$_2$SO$_4$ 2) H$_2$, Pd/C 1) NaNO$_2$, HCl H$_2$O, 0°C 2) CuCN, KCN NH$_2$ B) NaNO$_2$, HCl H$_2$O, 0°C H$_2$N NH$_2$ C) HO HO

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12 John has $45 to spend on 8 pencils. After buying them he had $21 left over. How much did e pencil cost?

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Alfred Binet provide the following information:  Time frame and lifespan (i.e. DOB – DOD)  Name of Theory  Two to three sentences about the theory that connects it to Early Childhood Education.  Identification of any other theorist involved in this theory.  References

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radius. Also recognize that \( v \) is the magnitude of the velocity of the satellite with respect to the center of the earth.) 2/111 The car is traveling at a speed of \( 60 \mathrm{mi} / \mathrm{hr} \) as it approaches point \( A \). Beginning at \( A \), the car decelerates at a constant \( 7 \mathrm{ft} / \mathrm{sec}^{2} \) until it gets to point \( B \), after which its constant rate of decrease of speed is \( 3 \mathrm{ft} / \mathrm{sec}^{2} \) as it rounds the interchange ramp. Determine the magnitude of the total car acceleration (a) just before it gets to \( B \), (b) just after it passes \( B \), and \( (c) \) at point \( C \). Problem 2/111

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Consider a two-slit interference pattern, with monochromatic light of wavelength lambda .

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MATH 357 - HARMONIC ANALYSIS 3 (c) From Math 301 you know that every continuous function on a closed interval can be realized as a uniform limit of step functions. Adapt this proof to show that in fact this result is still true for piece-wise continuous functions. Recall from class, a piece-wise continuous func- tion periodic is a function which is continuous except for possibly finitely many jump discontinuities on each period interval; see Definition 1.3. on the handout from class \"Point-wise Convergence of Fourier series\" Hint: As for the continuous case, use uniform continuity. Since, by definition, every piece-wise continuous functions is continuous except for finitely jump discontinuities, by induction it suffices to consider a piece-wise continuous function with only one (!) jump-discontinuity.

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Sets F and J are defined as follows. F={d, g, h} J={c, e, j} Answer each part below. Write your answer in roster form or as Ø. (a) Find the intersection of F and J. F \cap J = (b) Find the union of F and J. F \cup J =

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If a recessive allele causes a fatal disease that kills the affected individual before he or she can reproduce, why doesn't that allele quickly become extinct in the population? The recessive allele is carried in the genome of heterozygotes, who do not suffer from the disease. The homozygous recessive individuals give their alleles to other individuals before they die from the disease. Alleles are never lost from a population. The homozygous dominant individuals protect the recessive allele in their genomes.

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