A commuter train passes a passenger platform at a constant speed of 39.2 m/s. The train horn is sounded at its characteristic frequency of 348 Hz. Required:
a. What overall change in frequency is detected by a person on the platform as the train moves from approaching to receding?
b. What wavelength is detected by a person on the platform as the train approaches?

In return for their with optimizing his painting project, the castle servant informed poly and digit that he saw someone dressed as the king leaving behind a trail of crumbs as he walked into the jester's room late last night. poly and digit have finally found the crisp-collecting culprit — it turns out the jester's shoe size and hair color match the clues that were found! in gratitude, poly and digit agree to the servant with his current task of replacing all of the tables and chairs in the castle. his goal is to determine which furniture company should produce the new furniture. he receives information from a company that customizes elegant furniture, and he wants to analyze the company's production process in order to calculate some problems about cost and availability. read the following scenario, and assist poly and digit as they the servant with his calculations. the fit for a king furniture company requires 2020 hours of labor to produce a standard table, and a chair requires 1212 hours of labor. the labor available is 565565 hours per week. the company can produce at most 3535 chairs per week.

Selected t-account balances for bloomfield company are shown below as of january 31, which reflect its accounting adjustments. the firm uses a calendar-year accounting period, but prepares monthly accounting adjustments.suppliesjan. 31 bal. 1,800 1,800 jan. 31 bal.supplies expensejan. 31 bal. 1,920 1,148 jan. 31 bal.prepaid insurancejan. 31 bal. 1,148 1,148 jan. 31 bal.insurance expensejan. 31 bal. 164 164 jan. 31 bal.wages payablejan. 31 bal. 1,400 1,400 jan. 31 bal.wages expensejan. 31 bal. 6,400 6,400 jan. 31 bal.truckjan. 31 bal. 17,376 17,376 jan. 31 bal.accumulated depreciation -truckjan. 31 bal. 5,068 5,068 jan. 31 bal.a. if the amount in supplies expense represents the january 31 adjustment for the supplies used in january, and $1,240 worth of supplies were purchased during january, what was the january 1 beginning balance of supplies? $answerb. the amount in the insurance expense account represents the adjustment made at january 31 for january insurance expense. if the original insurance premium was for one year, what was the amount of the premium, and on what date did the insurance policy start? amount of the premium $answerthe policy began on answerjune 1july 1august 1september 1october 1november 1 of the previous year.c. if we assume that no beginning balance existed in either in either wage payable or wage expense on january 1, how much cash was paid as wages during january? $answerd. if the truck has a useful life of four years (or 48 months), what is the monthly amount of depreciation expense, and how many months has bloomfield owned the truck? answermonths

(30 total points) suppose a firm’s production function is given by q = l1/2*k1/2. the marginal product of labor and the marginal product of capital are given by: mpl = 1/ 2 1/ 2 2l k , and mpk = 1/ 2 1/ 2 2k l . a) (12 points) if the price of labor is w = 48, and the price of capital is r = 12, how much labor and capital should the firm hire in order to minimize the cost of production if the firm wants to produce output q = 18?