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The acceleration of a rocket traveling upward is given by $a = (8 + 0.03s) m/s^2$, where s is in meters. Determine the time needed for the rocket to reach an altitude of $s = 100 m$. Initially, $v = 0$ and $s = 0$ when $t = 0$.

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Consider two countries, Rohan and Gondor, where the only two factors of production are capital and labor. Rohan has 200 units of capital and 800 units of labor, and Gondor has 400 units of capital and 200 units of labor. Both countries produce two goods, cheese and Swords. The labor share in total production costs is 75% for cheese but only 25% for Swords. Show the following: a. Gondor is capital-abundant. b. Swords are capital-intensive. 3 c. Under free trade, Gondor will export Swords

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Discuss the core argument: that children born into situations where they are unwanted or likely to experience socioeconomic challenges have a statistically higher likelihood of engaging in criminal behavior.

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Closed-end credit is a loan or type of credit where the funds are dispersed in full when the loan closes and must be paid back by a specific date.

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research on adolescent developement suggests that the timing of puberty onset can havesignificant socio-economic implications

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The velocity of a particle is r = 3ti + (6 - 2t2)j meters, where t is in seconds. a) determine the position of the particle at time t = 1 sec, b) find the velocity vector at time t = 1 sec, and b) find the acceleration vector at time t = 1 sec.

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The ______ transports sperm, while the ______ produces sperm. • testis; epididymus • epididymus; testis

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Suppose that with a budget of $190, Fatima spends $114 on sushi and $76 on bagels when sushi costs $2 per piece and bagels cost $2 per bagel. Then, after the price of bagels falls to $1 per bagel. Instructions: Enter your answers as a whole number. How many pieces of sushi and how many bagels did Fatima consume before the price change? pieces of sushi and bagels At the new prices, how much money would it have cost Fatima to buy those same quantities (that is, the quantities that she consumed before the price change)? $ Given that it used to take Fatima's entire $190 to buy those quantities, how big is the income effect caused by the lower price of bagels? $

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A polynomial of degree 5,P(x) has leading coefficient 3 , and has roots of multiplicity 3 at x=3, multiplicity 1 at x=8, and multiplicity 1 at x=-7. Find a possible formula for P(x). You can leave your answer in factor form. P(x)= A polynomial of degree 5, P(c) has leading coefficient 3, and has roots of multiplicity 3 at = 3, multiplicity 1 at = 8, and multiplicity 1 at = - 7. Find a possible formula for P(). You can leave your answer in factor form Check Answer

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To find the marginal revenue of the 13th unit, we can use the formula for marginal revenue, which is the change in total revenue divided by the change in quantity. First, let's find the total revenue for selling 12 units at 13 euros per unit: 12 units * 13 euros/unit = 156 euros Next, let's find the total revenue for selling 13 units at 12 euros per unit: 13 units * 12 euros/unit = 156 euros Now, we can calculate the marginal revenue of the 13th unit: Change in total revenue = 156 euros - 156 euros = 0 euros Change in quantity = 13 units - 12 units = 1 unit Marginal revenue = 0 euros / 1 unit = 0 euros/unit So, the marginal revenue of the 13th unit is 0 euros/unit.

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