Numerade

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Regarding Pasteur's experiment with the S-neck flash, which of the following statements is true? Any possibility of contamination was removed There was air involved All microorganisms were killed before beginning All of the above There was a food source involved

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Loves Public Goods. Imagine that there's a public good that costs $500,000 per unit to provide and that each person values this public good according to the following schedule: Q MV 1 $40 2 $37 3 $34 4 $31 5 $28 6 $25 A. In a community of 15,000 people, what will be the efficient number of units of this public good? (2) B. Explain how your answer changes if only 12,000 of these people pay taxes. Please explain. If you don't explain, I won't give you any points for this question. It's all in the explanation. (2)

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I'm sorry, but I cannot fulfill that request.

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Sparky Corporation uses the weighted-average method of process costing. The following information is available for February in its Molding department: Direct materials. Conversion Percent Units Percent Complete Complete Beginning work in process inventory 37,000 100% 60% Units started and completed 134,000 Units completed and transferred out 171,000 Ending work in process inventory 36,000 100% 35% Production cost information for the Molding department follows. Beginning work in process Direct materials Conversion Costs added this period Direct materials Conversion $ 55,000 60,850 $ 115,850 $ 299,000 611,150 910,150 Calculate the equivalent units of production for direct materials.

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Radioactivity 3.4: Draw a smooth line through your data points and estimate the shielding thickness needed to reduce the counts by a factor of two. This is called the "half value thickness". Discuss any uncertainties in your measurements. 3.5: In step 2.4, you estimated the total beta-radiation exposure you will experience in 3 hours of lab work with the Cs-137 source working from the assumption that the emitted radiation was primarily in the form of beta particles. After these shielding experiments, how valid do you think that assumption was? Explain.

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(1 point) For what values of b are the vectors $(-55, b, 6)$ and $(b, b^2, b)$ orthogonal?

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Q2. Consider the following Lagrangian with 2 degrees of freedom: $L = \frac{1}{2}m(\dot{x}^2 + \frac{\dot{y}^2}{x}) - x^2$. (a) Show that there is an ignorable coordinate, and find the corresponding integral. Label this integral $h$. [2 marks] (b) Derive the equation of motion in $x$, i.e. $\frac{d}{dt}(\frac{\partial L}{\partial \dot{x}}) - \frac{\partial L}{\partial x} = 0$. Show that the integral $h$ can be used to write the equation derived as $\ddot{m}x = -2x - \frac{h^2}{2m}$. [7 marks] (c) Solve this equation for $x$ as a function of $t$. Hence find the solution for $y$ as a function of $t$. [8 marks] (d) The equation derived in (b) is equivalent to a particle moving with one degree of freedom with $T = \frac{1}{2}m\dot{x}^2$, $V = x^2 + kx$ where $k = h^2/(2m) > 0$. Sketch the energy diagram. If the particle has initial conditions $x(0) = 0$, $\dot{x}(0) = 1$, sketrch how $x$ will vary with time. [8 marks]

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a. You are given 4-to-1 multiplexers as building blocks. Implement an 8-to-1 multiplexer with these blocks: obtain the schematic, show select inputs S2, S1, S0, and data inputs D7, ...D0. All unused inputs (if any) have to be connected to appropriate static levels (Vdd, GND). b. Implement the comparator of two 2-bit numbers A1A0 and B1B0 using an 8-to-1 multiplexer, an inverter is available. The circuit has 4 inputs: A1, A0, B1, B0, and one output F. The variant of output function F is defined by the last digit of your ID number as follows: case 1, your digit is 0, 1, or 2: F = 1 if A1A0 is greater than B1B0, otherwise F = 0, case 2, your digit is 3 or 4: F = 1 if A1A0 is less than B1B0, otherwise F = 0, case 3, your digit is 5 or 6: F = 1 if A1A0 is greater or equal to B1B0, otherwise F = 0, case 4, your digit is 7, 8, or 9: F = 1 if A1A0 is less or equal to B1B0, otherwise F = 0. Show only one implementation for the function corresponding to your last ID digit. c.

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Consider an economy where people's savings are relatively insensitive to the real interest rate. The government offers subsidies for private investment in infrastructure. It is expected that private investment will increase by $10 billion for new projects. To raise the necessary funds, the private investors will borrow money from the credit/loanable funds market. a) Assume that the increase in demand for loanable funds does not affect people's saving habits. Show the effects of this policy on the interest rate. b) As the government will need to recover the cost of the subsidy at some point, taxes are expected to increase in the future. Given this, people would like to save more today so they can pay the higher tax in the future. What will be the effect on the real interest rate?

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Mercado Lopez owns a furniture store that offers free delivery of merchandise delivered within the local area. Mileage records for the three sales departments are as follows: Department 1: 36,000 miles Department 2: 48,000 miles Department 3: 16,000 miles The cost of using the truck for the last year, including depreciation, was $16,000. Allocate the cost of the truck among the three departments on the basis of miles driven. Truck Expense Department 1 $fill in the blank 1 Department 2 fill in the blank 2 Department 3 fill in the blank 3 Total $fill in the blank 4

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vincent h.