Numerade

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possible Use implicit differentiation to find z' and then evaluate z' at (-2, 6). xz + 12 = 0 z' = z'|(-2,6) = (Simplify your answer.)

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In a market where prices are flexible, a surplus is removed from the market by: a price increase, increasing the supply and decreasing the demand. a price decrease, decreasing the supply and increasing the demand. a price decrease, decreasing the quantity supplied and increasing the quantity demanded. a price increase, increasing the quantity supplied and decreasing the quantity demanded.

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Texts: Part A: Write a linear function f to determine Sasha's pay. A) f(x) = 5x + 3 B) f(x) = 3x + 65 C) f(x) = 0.5x + 68 D) f(x) = 5x + 65 Part B: Which is a reasonable domain? A) 1 <= x <= 5 B) All whole numbers C) 68 <= x <= 80 D) All real numbers Part C: Assume Sasha sells 24 T-shirts in one day. How much would she earn that day?

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Part A Review | Constants | Periodic Table The Arrhenius equation shows the relationship between the rate constant $k$ and the temperature $T$ in kelvins and is typically written as $k = Ae^{-E_a/RT}$ where $R$ is the gas constant (8.314 J/mol \cdot K), $A$ is a constant called the frequency factor, and $E_a$ is the activation energy for the reaction. However, a more practical form of this equation is $\ln\left(\frac{k_2}{k_1}\right) = \frac{E_a}{R}\left(\frac{1}{T_1} - \frac{1}{T_2}\right)$ which is mathematically equivalent to $\ln\left(\frac{k_1}{k_2}\right) = \frac{E_a}{R}\left(\frac{1}{T_2} - \frac{1}{T_1}\right)$ where $k_1$ and $k_2$ are the rate constants for a single reaction at two different absolute temperatures ($T_1$ and $T_2$). The activation energy of a certain reaction is 42.6 kJ/mol. At 26 $^\circ$C, the rate constant is 0.0180s$^{-1}$. At what temperature in degrees Celsius would this reaction go twice as fast? Express your answer with the appropriate units. ? View Available Hint(s) $\mu A$ ? $T_2 =$ Value Units Submit Part B

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Given the following vector, a, choose the code that will output the total number of times a value is less than 20 and more than 5. a=[1 23 23 20 3 7 9 17 4 19 3 17 13 20 18 23 23 9 18 5] $\sum(a>5 \& a<20)$ $\sum(a \ (a>5 \& a<20))$ $a>5 \& a<20$ $a<5 \& a>20$ $\sum(a<5 \& a>20)$

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A nitrogen stream is used to evaporate acetone in a heated chamber. The volumetric feed rate of liquid acetone (CH3COCH3) is 400 L/min. The gas leaving the heater is diluted by another nitrogen stream flowing at a measured rate of 419 m(STP)/min. The combined gases are then compressed to a total pressure P = 6.3 atm gauge at a temperature of 325Â°C. The partial pressure of acetone in this stream is pa = 501 mmHg. Atmospheric pressure is 763 mmHg. i) What is the molar composition of the stream leaving the compressor? ii) What is the volumetric flow rate of the nitrogen entering the evaporator if the temperature and pressure of this stream are 27Â°C and 495 mmHg gauge? iii) After several months of operation, the flow rate of effluent gas may begin to decrease. List at least three possible explanations for this behavior. Data: Density of liquid acetone is 0.791 g/cm^3; 1 atm = 1.01325 Ã— 10^5 N/m^2 (Pa = 101.325 kPa = 1.01325 bar = 760 mmHg at 0Â°C = 760 torr) = 14.696 psi. (b) A liquid mixture of benzene-glycerol containing 40% benzene by mass is in equilibrium with its vapor at 30Â°C. What is the system pressure and the composition of the vapor? The molecular weight of benzene and glycerol is 78.11 and 92.09, respectively. Use Antoine equation constant data given in Table 1. Table 1: Antoine equation constant data Compound A B C Benzene 6.89272 1203.531 219.888 Glycerol 6.16501 1036.056 28.097 (c) For multicomponent gas-liquid systems, when is Raoult's law and Henry's law most likely to be valid?

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Consider the circuit of Fig. 4.3. Find the capacitance of the capacitor C in terms of the measured current and voltage values (rms values) and angular frequency w. Vin(t)=Vi sin(wt)

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Land rent In the 1980s land prices in Japan surged upward in a "speculative bubble." Land prices then fell for 11 straight years between 1990 and 2001. Use graphical analysis to illustrate what happened to land rent in Japan over those 11 years. Instructions: Use the tools provided '1990,' '1995,' and '2001' to identify rent conditions over this 11-year period. Land Rent in Japan D3 D2 1980 D1 D0 Acres of land Tools -- -- 2001 1995 0-- 1990

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Q4 Design Problem 5V<sub>1</sub> Design an op-amp circuit that can perform this operation: Vo = - . Show all the 3V<sub>2</sub> assumptions, calculation and the circuit illustration. Marking Scheme: Circuit Design 4 marks Assumptions 1 mark Calculation 5 marks

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Projected number of motorcycles sold per year: 150 Projected number of snowmobiles sold per year: 125 Projected number of ATVs sold per year: 100 Projected average retail price of each motorcycle: $8,000 Projected average retail price of each snowmobile: $6,000 Projected average retail price of each ATV: $5,000 Projected total annual repair service revenue: $70,000 Variable Costs Projected average cost of each motorcycle: $4,000 Projected average cost of each snowmobile: $4,500 Projected average cost of each ATV: $3,500 Sales commissions: 20% of retail product sales Payroll taxes: 12% of sales commissions paid Supplies: 10% of repair service revenue Fixed Costs Advertising: $24,000 Alarm services fee: $1,000 Bank fees: $2,400 Cleaning service: $3,200 Depreciation: $6,000 Dues and subscriptions: $1,000 Store manager salary: $40,000 Sales personnel base salaries: $24,000 Mechanic's annual salary: $40,000 Payroll taxes: 12% of payroll Insurance: $4,000 Miscellaneous: $1,000 Legal and professional fees: $4,000 Office supplies and postage: $2,000 Payroll service fees: $2,000 Rent: $16,000 Telephone: $1,000 Training and education: $2,000 Utilities: $6,000 a. Prepare a contribution margin income statement that summarizes the dealership's projected operating income. b. Calculate the dealership's projected break-even point in terms of total revenue (total revenue will equal the sum of product sales revenue and repair services revenue). Calculate the dealership's margin of safety. c. Assume that the dealership operates under the projections that were initially outlined with the exception of a change in compensation structure for sales personnel. Brad and Lewis intend to eliminate the base salaries for the dealership's sales personnel and increase their commission to 30% of sales. Prepare a contribution margin statement based upon the modified compensation structure and calculate the company's new break-even point in terms of total revenue.

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jaime l.