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Consider the average size of a soccer field with a length L=100.0000 m and a width of W=75.0000 m. a) If you measure the dimensions by using a tape meter with a cm/mm scale, write down the dimensions using a standard method. [Values with measurement uncertainty] b) Calculate the area of the field and the uncertainty of the area. c) Consider the average shoulder width of a person, which is d=136.00 cm, and estimate how many people can stand on the field to cover the whole area of the field. [Hint: consider each person needs a circular area of radius r]

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What is the approximate pKa of a weak acid HA if a solution of 0.1 M HA and 0.3 M A$^-$ has a pH of 6.5? 6.2

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The shift from late, non-universal marriage to early, universal marriage that took place during the modern period (1900 - 1960) is called: *Hint: Nuptial is an old word that means wedding. The commercialization of marriage The traditional marriage shift The deinstitutionalization of marriage The modernization of nuptiality

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A company uses the following cost function for their most popular item, the \"widget\"\n$C(x) = -0.08x^2 + 96x + 7000$, where $x$ is the number of widgets produced.\nFind the average cost of producing 584 widgets.\n$\nFind the cost of producing the $585^{th}$ widget.\n$\nFind the marginal average cost of producing 585 widgets.\n$\n(round all answers to the nearest cent)

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10. A 10-g nut is hanging from a spring that has stretched 30 cm because a squirrel is pulling it down. If the squirrel is pulling with 300 N, what is the spring constant?

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Which type of protist is referred to as an "amorphous blob" when it is in its feeding stage? A) mesomycetozoa B) gymnamoebae C) plasmodial slime molds D) choanoflagellates

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Philly Company Common stock currently sells for $33, and is expected to pay a dividend of $.40 with a dividend growth rate of 8%, and flotation cost is $1.25. Preferred stock sells for $40, pays a dividend of $3.00, and carries a flotation cost of $1.10. Company bonds yield 7% in the market, and they are in the 30% tax bracket. WHAT IS THE COST OF DEBT? Indicate formula and answer

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Find $v_o$ as a function of $V_A$ and $V_B$. Find $i_o$ as a function of $V_A$ and $V_B$ Simplify. $V_o = $ $i_o = $

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For the following demand function, find a. E, and b. the values of q (if any) at which total revenue is maximized.\ p = 300e^{-0.3q}\ a. Find the elasticity of demand (E) in terms of q.\ E(q) =

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Suppose we have a deck of cards from which Player 1 randomly selects a single card (without replacement) and then Player 2 selects a single card. Find the probability that Player 2 draws an ace. A total of 46 percent of the voters in a certain city classify themselves as Independents, whereas 30 percent classify themselves as Liberals and 24 percent say that they are Conservatives. In a recent local election, 35 percent of the Independents, 62 percent of the Liberals, and 58 percent of the Conservatives voted. A voter is chosen at random. Given that this person voted in the local election, what is the probability that he or she is (a) an Independent? (b) a Liberal? (c) a Conservative? (d) What percent of voters participated in the local election?

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