Question What justification should appear on line 12 of the following derivation? Fill in the blanks by selectin one option from each menu 2 points If only one line should be cited for a particular rule application, leave the second and third line references blank. If only two lines should be cited, leave the third blank.

Q3 If T:ℝ3→ℝ3 T : R 3 → R 3 is a linear transformation such that (1 point) If T: R3 → R3 is a linear transformation such that -0-0-0-0-0-0) 5 --03) then T

The following equations describe the variation of pressure p with veloci 0 p + A og V-2 = X (i) p + B g pv = Y (iii) p + CPV 2 = Z where, A, B, and C are dimensionless constants. X, Y, and Z are values with the same dimensions as pressure, g is the acceleration due to gravity, p is the density of the liquid, and o is the surface tension of the liquid. Which equations are dimensionally homogeneous? 2:33 PM

The table below shows the monthly cost of producing vintage model cars for collectors for quantities O, 100, 200, and 500. Complete the table by filling in the average fixed cost, average variable cost, and average total cost. Instructions: Round your answers to 2 decimal places. Average Fixed Cost (dollars) Average Variable Cost (dollars) Average Total Cost (dollars) Vintage Model Car Production Costs Total Fixed Total Variable Output Cost (dollars) Cost (dollars) 0 $1,500 $0 100 1,500 600 200 1,500 1,100 500 1,500 4,150 Total Cost (dollars) $1,500 2,100 2,600 5,650

Assume that in October 2022 the Schmidt Machinery Company (Exhibit 14.1) manufactured and sold 990 units for $705 each. During this month, the company incurred $415,800 total variable costs and $180,400 total fixed costs. The master budget data for the month are as given in Exhibit 14.1. Required: 1. Prepare a flexible budget for the production and sale of 990 units. 2. Compute for October 2022: a. The sales volume variance, in terms of operating income. Indicate whether this variance was favorable or unfavorable. b. The sales volume variance, in terms of contribution margin. Indicate whether this variance was favorable or unfavorable. 3. Compute for October 2022: a. The total flexible budget variance. Indicate whether this variance was favorable or unfavorable. b. The total variable cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. c. The total fixed cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. d. The selling price variance. Indicate whether this variance was favorable or unfavorable. Comparison of Actual and Budgeted Operating Income SCHMIDT MACHINERY COMPANY Analysis of Operating Income For October 2022 (1) Actual Operating Income (2) Master Budget (3) Variances Units 780 1,000 220 U* Sales $ 639,600 100% $ 800,000 100% Variable costs 350,950 55 450,000 56 $ 160,400 U 99,050 F** $ 61,350 U 10,650 U Contribution margin 45% 44% $ 288,650 160,650*** $ 350,000 150,000+ Fixed costs 25 19 Operating income $ 128,000 20% $ 200,000 25% $ 72,000 U *U denotes an unfavorable effect on operating income. **F denotes a favorable effect on operating income. ***Actual fixed factory overhead cost = $130,650; actual fixed selling and administrative costs = $30,000. Budgeted fixed factory overhead cost = $120,000; budgeted fixed selling and administrative costs = $30,000. Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Prepare a flexible budget for the production and sale of 990 units. Units sold ales Fixed costs Variable costs Required 1 Required 2 > Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Compute for October 2022: a. The sales volume variance, in terms of operating income. Indicate whether this variance was favorable or unfavorable. b. The sales volume variance, in terms of contribution margin. Indicate whether this variance was favorable or unfavorable. Show less A Sales Volume Variance Operating income Contribution margin < Required 1 Required 3 > Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Compute for October 2022: a. The total flexible budget variance. Indicate whether this variance was favorable or unfavorable. b. The total variable cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. c. The total fixed cost flexible budget variance. Indicate whether this variance was favorable or unfavorable. d. The selling price variance. Indicate whether this variance was favorable or unfavorable. Show less a. The total flexible budget variance b. The total variable cost flexible budget variance c. The total fixed cost flexible budget variance d. The selling price variance < Required 2 Required 3

An investment will pay you $38,000 in 10 years. If the appropriate discount rate is 6.5 percent compounded daily, what is the present value? (Use 365 days a year. Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16) Present value $

4 Insert the rubber stoppers. Mix cach solution thoroughly 5. Transfer a solution into a Spec 20 cell (fill up to 2/3 of the length) and measure the absorbance of the solution at 450 nm. Record and plot the data 6. Calculate the k value by linear regression - use provided space in the results section. 5. Using the zero knob, set the transmittance to "0" Now, Spec 20 will consider this situation as the complete darkness. 6. Insert a Spec 20 cell (looks like a small test tube) filled with distilled water (reference) in the sample chamber 7. Using 100 % knob, set the transmittance to 100. The concentration of the substance in the solution at this point is O and the light is 100 % transmitted. 8. Remove the reference. 9. Set Mode to Absorbance, insert your sample and read the number displayed. This is your absorbance for the sample. 10. You have to perform steps 2-8 whenever the wavelength setting is changed. Otherwise, keep the Mode at Absorbance and just replace your sample to read off the absorbance value. Determining the equilibrium constant NOTE: This part of experiment requires, 1. 0.0025 M Fe(NO3)3 solution, NOT the diluted solution you prepared. 2. 0.0025 M KSCN solution, NOT 1 M. 1. Wash and dry pipets, test tubes and rubber stoppers. Renumber the test tubes (6 to 10). 2. Prepare the five solutions shown in Table 6.2. Use a properly rinsed Mohr pipet for each solution. Table 6.2 Composition of solutions for determining the equilibrium constant Test Tube 0.0025 M 0.0025 M 0.1 M number Fe(NO3)3 KSCN HNO3 6 1.0 1.0 5.0 7 1.0 2.0 4.0 8 1.0 3.0 3.0 9 2.0 2.0 3.0 Determining k in Beer's Law CAUTION: DO NOT put the pipet directly into the stock bottle. Such practice will change the concentration of the stock solution and make it unusable. Instead, obtain a small beaker to take some stock solution to your bench. 1. Rinse a pipet with a 0.0025 M solution of Fe(NO3)3 (in 0.1 M HNO3). Use this Mohr pipet to transfer exactly 4 mL of the Fe(NO3)3 solution to a 100-ml volumetric flask. Add distilled water till the bottom of the meniscus coincides with the marking on the flask. Use a disposable dropper if needed. Mix the solution thoroughly 2. Label 3 pipets with diluted Fe(NO3)3, 1 M KSCN and 0.1 M HNO3 and rinse with corresponding solutions. 3. Using the pipets, prepare following 5 solutions (Table 6.1) in the 5 cleaned and dried large test tubes. All amounts are given in mL. Table 6.1 Composition of solutions for Beer's Law. Test Tube Diluted 0.1 M number 1 M KSCN Fe(NO3)3 HNO3 10 2.0 3.0 2.0 3. Stopper the tube and mix each solution thoroughly. 4. Measure the absorbance of each solution at 450 nm. Record your data. 5. Calculate the concentration of Fe(SCN)+2 in each solution using the absorbance and the Beer's Law. 6. Calculate the initial concentration of Fe(NO3)3 and KSCN using the table given above. 7. Calculate the final concentration of Fe(NO3)3 and KSCN using the data from step 6 and stoichiometry of the reaction. 8 Calculate the equilibrium constant for each solution. Calculate the mean value of Keq with its standard deviation. 1 1.0 5.0 4.0 2 2.0 5.0 3.0 3 3.0 5.0 2.0 4 4.0 5.0 1.0 9. 5 5.0 5.0 0 Discard all solutions into the proper waste container -40 1. Determining k in Beer's Law 2. Determining the equilibrium constant Test Tube No. Absorbance Test Tube No. Absorbance 1 6 146 291 2. 7 230 3 8 426 945 4 9 -492 1.560 5 10 Post Laboratory Questions 1. Complete the following table and calculate k-value for the Beer's Law. All concentrations should be in M. [Fe(SCN)*2) CA Test Tube No. Absorbance A c? Diluted Fe(NO3)3 (mL) С 0 0 Reference 0 0 0 1 1.0 0.0000140 LxD 2 2.0 6 0000400 3 3.0 0.0001378 4 4.0 .402 (2000 1968 leylo 2000293 2,5 x 10 7 5 5.0 . 5860 Co consume a CoomL) 40.ooorm Fescarta --43 2. Determining the equilibrium constant by filling the following table. Starting [Fe) Starting [SCN) Test Tube No. [Fe(SCN)*2) from A Eq. [Fe+3] Eq. [SCN1 Kea 6 7 6.005 8 0.0035 0.00 B 9 10 6.olas Sample calculation for obtaining initial [Fe+") and (SCN): Fe + SCN Fe (SCN) Sample calculation for obtaining [Fe(SCN)*2; from absorbance: Sample calculation for the equilibrium [Fe3+]: Sample calculation for the equilibrium (SCN): Sample calculation for Ke [Fe (sco) Keq [Fe +3 ] [sc]