Numerade

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Part A A stool at a restaurant is anchored to the floor. When a customer is in the process of sitting down, a horizontal force with magnitude $F_1$ is exerted at the top of the stool support as shown in the figure. (Figure 1) When the customer is seated, a vertical force with magnitude $F_2$ is exerted on the stool support. If the maximum moment magnitude that the stool support can sustain about point A is $M_A = 175 lb \cdot ft$, what is the maximum height $d_1$ that the stool can have if the magnitudes of the two forces are $F_1 = 65.0 lb$ and $F_2 = 185 lb$? Assume that moments acting counterclockwise about point A are positive whereas moments acting clockwise about A are negative. Express your answer numerically in feet to three significant figures.

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Find the general indefinite integral. (Use C for the constant of integration.) (3x2 + 8x + 7) dx

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A formal document that presents the research objectives, design of achieving these objectives, and the expected outcomes/deliverables of the study is called •a. Research design • b. Research report • c. Research hypothesis Od. Research proposal

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Consider the following Management - Trainee game. There are two types of trainees: Lazy type and Industrious type. Suppose the value to the trainee from being hired is 130 and from not getting a position is 70. He has options in terms of the amount of efforts: 40 and 80 hours and the personal cost to him depends on his type, as expressed in the table below. The trainee's payoff is the value of being hired (or not) less the personal cost of effort. For example, if a lazy type works 40 hours and gets the position, then his payoff is 130 - 50 = 70, while his payoff if he doesn't get the position is 70 - 50 = 20. The manager's payoff is 100 from hiring an industrious worker; 25 from hiring a lazy worker, and 60 from hiring no one. Personal Cost of Effort Type 40 Hours 80 Hours Lazy 50 140 Industrious 30 80 The trainee gets to know his exact type (lazy or industrious), but the manager does not know the trainee's exact type. Prior to observing the trainee's effort, the manager believes that the trainee is lazy with probability 0.75 and industrious with probability 0.25. (This is the manager's prior belief. The belief has the implication that unless the manager is able acquire more information about the trainee's type, she will not hire the trainee because the expected payoff from hiring him is $0.75 \times 25 + 0.25 \times 43.75$, which is less than the payoff of 60 from leaving the position open.) A strategy of the trainee assigns an action - work 40 hours or 80 hours - to each possible type - lazy or industrious. while a strategy for the manager assigns an action - hire or fire - to each possible action of the Digit 1 Appears in Sequence from 1 to $n$ Question 73 How many times does the digit 1 occur in the integers from 1 to $n$? For example, if $n$ is 12, there are four numbers from 1 to 12 containing the digit 1, which are 1, 10, 11, and 12, and the digit 1 occurs five times. Straightforward but Inefficient The intuitive way to solve this problem is to get a count of digit 1 in each number. The least important digit in a decimal number can be calculated with the modulo operator (%). If the number is greater than

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Which problem in the construction of the CPI is the creation of the mobile phone most relevant to?

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13. The arc length along a circle of radius 5 cm that corresponds to a rotational angle of $\frac{\pi}{4}$ is $\frac{5\pi}{4}$ $\frac{4\pi}{5}$ $\frac{5}{4\pi}$ $\frac{45\pi}{4}$

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Texts: 5. CLIMATE JUSTICE & CLIMATE POLICY Answer ONE of the following two questions: a) The world's ex-colonies/global South/'developing' countries have contributed little to global warming. i. What are three reasons why these regions nevertheless are especially vulnerable to the effects of climate change? ii. What principle has been applied in climate negotiations to justify different roles & targets for climate action by different categories of countries? b) One approach has been to treat environmental benefits and damages as commodities. i. What are two ways of doing this by "putting a price on carbon"? ii. Why have these policies not been effective, at least so far, in reducing GHG emissions?

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Texts: Sarah shot a rocket off of a building. Its pathway is modeled by the equation -16t^2 + 704t + 500. What is the rocket's height after 2 seconds? When does the rocket reach its maximum height? What is the rocket's maximum height?

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2) The reaction below is first order in C$_{12}$H$_{22}$O$_{11}$ with a rate constant of 0.000023sec$^{-1}$. C$_{12}$H$_{22}$O$_{11}$ + H$_2$O ? 2C$_6$H$_{12}$O$_6$ If the sample originally contains 7.60 grams of C$_{12}$H$_{22}$O$_{11}$, what mass will remain after 1380 minutes?

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You borrowed $21,000 to finance the educational expenses for your senior year of college. The loan will be paid off over five years. The loan carries an interest rate of 8% per year and is to be repaid in equal annual installments over five years. Assume that the money was borrowed at the beginning of your senior year and you have negotiated with the bank that the first installment will be due two years later. Compute the amount of the annual installments.

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