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Two liquids, neither of which mixes with water, are spilled onto water, forming thin films on the water surface. When the films becomes much thinner than the wavelength of light as they spread, you observe that one film becomes dark and the other bright in reflected light. The film that is dark has an index of refraction (a) Higher than that of water . (b) Lower than that of water . (c) Equal to that of water. (d) Lower than that of the bright film. Justify your answer.

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Which is/are true about nuclear reactions? Elements or isotopes of the same elements are converted from one to another. Reactions absorb or release large amounts of energy. Reaction rates are affected by temperature, pressure and concentration. Reaction rates are only affected by catalysts. Atoms are rearranged by the breaking and forming of chemical bonds.

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You are adding 40mL of apple juice to 360mL of water. How much did you dilute?

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Solve. $25 - \frac{5}{7}x = -\frac{5}{7}x + 25$

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[-/1 Points] DETAILS MY NOTES MENDSTAT15 1.2.007. ASK YOUR TEACHER After the elections of 2016, a poll was taken to study the approval ratings for past presidents George W. Bush and Barack Obama. The poll, involving 1,009 U.S. adults 18 years or older living in the United States and the District of Columbia, gives approval ratings by gender, race, age, and party ID.t George W. Bush Barack Obama Category U.S.Adults 59 63 Gender Men 56 60 Women 60 66 Race White Nonwhite 64 55 47 82 Age 18 to 34 42 75 35 to 54 64 62 55+ 65 55 Party ID Republicans 82 22 Independents 56 65 Democrats 41 95 Draw a bar chart to describe the approval rating of George W. Bush based on age. Frequency 80 60 20 rror, unable to save. Try again 18 to 34 35 to 54 55+ Frequency 80 60 40 20 X 18 to 34 35 to 54 55+

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The area of the following trapezoid is \( \qquad \) \( \mathrm{cm}^{2} \)

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4.3 Binomial Coefficient The first part of the binomial probability formula consists of a fraction called the binomial coefficent. It uses the factorial notation with 3 values: 1.) Number of trials n 2.) Number of successes k 3.) Number of failures (n - k) The binomial coefficient formula is \frac{n!}{(k!)(n-k)!} Notice the number of trials is in the numerator and the successes/failures are in the denominator. Example: Calculate 10 choose 4. This translates as 10 trials with 4 successes. That means the number of failures is equal to 6 since the total successes + failures. Also $(n-k) = (10 - 4) = 6$. The binomial coefficient is $\frac{10!}{(4!)(6!)} = \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{(4 \cdot 3 \cdot 2 \cdot 1)(6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1)} = \frac{10 \cdot 9 \cdot 8 \cdot 7}{(4 \cdot 3 \cdot 2 \cdot 1)} = \frac{5040}{24} = 210$ (To make the calculations easier, try to cancel as many values as possible) Calculate 18 choose 6 This means 18 trials with 6 successess

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If the supply and demand functions for a commodity are given by $4p - q = 24$ and $(p + 2)q = 2240$, respectively, find the price and quantity that will result in market equilibrium.

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Let E be the region bounded below by the cone $z = -\sqrt{4 \cdot (x^2 + y^2)}$ and above by the sphere $z^2 = 10^2 - x^2 - y^2$. Provide an answer accurate to at least 4 significant digits. Find the volume Triple Integral Spherical Coordinates Cutout of sphere is for visual purposes Note: The graph is an example. The scale and equation parameters may not be the same for your particular problem. Round your answer to the nearest whole number.

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Ivanhoe Co. opened on July 1, 2020. On July 31, the statement of financial position showed Cash ¥5,300, Accounts Receivable ¥1,900, Supplies ¥600, Equipment ¥6,200, Accounts Payable ¥4,400, Share Capital-Ordinary ¥3,600, and Retained Earning of ¥6,000 (amounts in thousands). During August, the following transactions occurred. 1. Collected ¥1,600 of accounts receivable. 2. Paid ¥2,900 cash on accounts payable. 3. Recognized revenue of ¥7,800, of which ¥2,600 is collected in cash and the balance is due in September. 4. Purchased additional equipment for ¥2,200, paying ¥500 in cash and the balance on account. 5. Paid salaries ¥1,700, rent for August ¥1,200, and advertising expenses ¥300. 6. Declared and paid ¥1,100 dividend. 7. Received ¥1,500 from Standard Bank-money borrowed on a note payable. 8. Incurred utility expenses for month on account ¥240.

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