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In Tuftsville, everyone lives along Main Street, which is ten miles long. There are 1,000 people uniformly spread along Main Street, and every day, they each buy a fruit smoothie from one of the two shops located at either end of Main Street. Customers ride their motor scooters to and from their chosen shop using $0.25 worth of gas per mile (note that consumers must ride to and from the shop). Each consumer receives value V from consuming the smoothie, less the price paid and travel cost, and purchase from the shop that offers the greatest net value. Suppose that Smoothie King is located at mile 0 Main Street and Jamba Juice is located at mile 10 of Main street. The marginal cost of providing a smoothie for each shop is $1. (a) Report the net value a consumer located at position x receives when purchasing from Smoothie King. Report the net value a consumer located at position x receives when purchasing from Jamba Juice. (b) Find the location of the consumer indifferent between Smoothie King and Jamba Juice for prices p1 and p2. (c) If p1 = p2, where is this consumer located?

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Question 33 Women experience depression more than men. O True O False Previous

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Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as \"divergent\"\n$\int_5^\infty \frac{4}{(x+7)^{3/2}} dx = $

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A Chinese firm borrows 1 million U.S. dollars from an American bank. The cost of this loan will be less if the U.S. dollar appreciates against the Chinese currency. True or false

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What is a type of legislation that requires passage by both legislative chambers and gubernatorial approval? Bill Joint Resolution Concurrent Resolution Simple Resolution

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Which statement is TRUE? A depreciation is an increase in the price of a currency. The purchasing power parity theorem says that the nominal purchasing power of a money should be the same, whether it is spent at home or converted into another currency and spent abroad. The real exchange rate is the rate at which you can exchange the goods and services of one country for the goods and services of another. An appreciation is a decrease in the price of one currency in terms of another currency.

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Consider a plate of density \( \rho(x, y)=\frac{2}{y} \) formed by the region \( R \) bounded on the bottom by \( y=1 \), the top by the curve \( y=e^{x} \) and the side by \( x=1 \) : a. Calculate the total mass of the region using horizontal slices ie. integrating with respect to \( x \) first, then \( y \). (3 marks)

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Question: Which of the following attachment styles is characterized by a child showing distress when separated from their caregiver but seeks comfort upon their return? Options: A) Secure attachment B) Avoidant attachment C) Ambivalent attachment D) Disorganized attachment

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What is the minimum mass of ice at 0 °C that must be added to the contents of a can of diet cola (340. mL) to cool the cola from 21.5 °C to 0.0 °C? Assume that the heat capacity and density of diet cola are the same as for water. The specific heat of water is 4.184 J/g·K. The density of water is 1.00 g/mL and the heat of fusion of water is 333 J/g.

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Give 2 examples of how the superior intelligence of early H. sapiens may have decreased the mortality rates of mothers and infants and, in turn, affected longevity (thousands of years ago).

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