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We would like to explore how size affects the melting of cheese in a conventional oven and in a microwave oven. Two mozzarella cheese cubes of sides 0.8 and 0.4 cm are initially at 20 \deg C. Physical properties of mozzarella are:  = 1050 kg/m3, Cp = 2800 J/kg K, melting point: Tm = 55 \deg C. We will assume that internal resistance to heat transfer is negligible in the cubes. (a) If both cheese cubes are placed in a conventional oven at a temperature of 100 \deg C with convective heat transfer coefficient h = 50 W/m2K, calculate the time at which the cheese will begin to melt for both cubes. Which cube melts first? Assume that the side on which the cube rests is insulated, so that convection takes place from 5 of the cube’s 6 faces. (b) If the cubes are placed in a microwave oven at a temperature of 20 \deg C with the same heat transfer coefficient as in part (a) acting on 5 faces, and with a uniform thermal energy liberation due to microwave heating Er = 2.8 W/cm3, calculate the time at which the cheese will begin to melt for both cubes. Which cube melts first?

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sson 4 Practice Problems Here are three stories: - A family buys 6 tickets to a show. They also pay a $ \$ 3 $ parking fee. They spend $ \$ 27 $ to see the show. - Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself. - Jada works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and then paints 27 picture frames. Here are three equations: a. Decide which equation represents each story. What - $ 3 x+6=27 $ does $ x $ represent in each equation? - $ 6 x+3=27 $ b. Find the solution to each equation. Explain or show - $ 27 x+3=6 $ your reasoning. c. What does each solution tell you about its situation? Lesson 4 Practice Problems

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Just-in-time costing is also called A. process costing B. backtrack costing C. backflush costing D. work-in-Process costing

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The quote "there is no free lunch" illustrates the concept of opportunity cost because it highlights the idea that in order to obtain something, one must give up something else. This concept is central to understanding the idea of opportunity cost, which refers to the value of the next best alternative that is foregone when a decision is made. In other words, when we choose to have a "free" lunch, we are actually giving up the opportunity to use that time and resources for something else, such as working or spending time with family. This trade-off is inherent in all decision-making processes and is a key economic principle.

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Find the line parallel to y=2x-8 that includes the point (-4,-1).

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Assets Cash Accounts receivable (net) Merchandise inventory Prepaid expenses Equipment Accumulated depreciation - equipment Total assets Dec. 31, 2016 Dec. 31, 2015 $51,130 $62,460 $78,560 $84,200 $112,230 $104,350 $4,570 $3,160 $228,610 $186,970 ($59,440) ($45,850) $415,660 $395,290 Liabilities and Stockholders' Equity Accounts payable (merchandise creditors) Mortgage note payable Common stock, $1 par Paid-in capital: Excess of par Retained earnings Total liabilities and stockholders' equity Dec. 31, 2016 Dec. 31, 2015 $87,290 $82,620 $0 $118,590 $13,000 $0 $186,000 $111,000 $129,370 $75,080 $415,660 $395,290 Additional information for the year 2016: a. Net income: $138,980. b. Depreciation reported on the income statement: $29,110. c. Equipment was purchased at a cost of $57,160, and fully depreciated equipment costing $15,520 was discarded. d. The mortgage note payable was not due until 2018, but the terms permitted earlier payment without penalty and no salvage realized. e. 5,000 shares of common stock were issued at $16 for cash. f. Cash dividends declared and paid: $84,590.

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Question 3: Induction (a) The rod shown below moves to the right on essentially zero-resistance rails at a speed of $v = 3.0 m/s$. If $B = 0.75T$ everywhere in the region, what is the current through the $5.0\Omega$ resistor?

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Presented below is information related to the TrenecHon July 1 Balonce Purchase Sale 10 Sale 12 Purchase 15 Sale 18 Purchase 22 Sale 25 Purchase 30 Sale Totals: Units In Unit Cost 130 $3.90 1,040 $4.00 Total Units Sold Selling Price Total $507 4,160 390 $6.70 $2,613 390 7.00 2,730 4.30 2,236 260 7.10 1,846 4.40 1,716 520 7.10 3,692 4.38 2,847 260 7.20 1,872 $11,466 1,820 $12,753 520 390 650 2,730 (a1) []Your answer is incorrect. Try again. Calculate average cost per unit. (Round to two decimal places)

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Let be a flow whose longitudinal speed is given: $u(y) = 3y^3 + 2y^2$. Knowing that the dynamic viscosity of the fluid is $\mu = 3.5 \times 10^{-2} \text{ N.s/}m^2$, calculate the value of the stress at the wall as well as the stress at 30 cm from the wall.

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A titanium sphere, at 182 °C, with diameter 0.002 m, density 4,500 kg/m³, thermal conductivity 21.9 W/mK, and specific heat 522 J/kgK, is left to cool in air at 20°C and with heat transfer coefficient equal to 2 W/m²K. Considering convection the only heat transfer mode between the sphere and the surroundings, estimate how long it will take for the sphere temperature to reach 23 °C, and the total energy in the form of heat extracted from it. Justify your estimate.

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jim w.