Numerade

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Translate the following verbal statement into an algebraic equation and then solve: Use x for your variable. The sum of four times a number and seven is ten more than the number. Equation x

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You are considering buying a new car for $37,000. If you purchase the car you will pay $7,000 of the purchase price as a down payment

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Which one of the following structures in synovial joints is primarily responsible for resisting excessive accessory motion between articulating bones. articular cartilage ligaments tendons synovial fluid bursae sacs

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Show me the steps to solve: An electronic company makes a profit of SR10000 per day at present. The company has the option to go in for license from another company and make a profit of SR20000 per day gross but has to pay a royalty of Rs6000 per day. It has another option to go in for research and development at a cost of Sr10000. The company may make a profit of SR25000 with a probability of 70% success and 30% failure. Draw a decision tree and choose the appropriate action.

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In Exercises 41-66, let U = \{a, b, c, d, e, f, g, h\} A = \{a,g,h\} B = \{b,g,h\} C = \{b, c, d, e, f\}. Find each of the following sets. 41. A \cap B 42. B \cap C 43. A \cup B 44. B \cup C 45. A' 46. B' 47. A \cap B' 48. B \cap C' 49. A \cup C' 50. B \cup C'

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Evaluate as requested. Given that $g(x) = \frac{x}{\sqrt{1 - x^2}}$, find g(0).

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25. \frac{dy}{dx} = \frac{3}{x\sqrt{x^2 - 1}}, t > 1

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Which of the following statements explains why faster-growing cells have a higher RNA to protein ratio? Faster-growing cells produce more DNA, leading to an increase in RNA. Faster-growing cells decrease the synthesis of t-RNAs, leading to a higher proportion of RNA in the cell. Faster-growing cells require more ribosomes for protein synthesis, contributing RNA content. Faster-growing cells reduce the production of proteins, resulting in a higher RNA to protein ratio.

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Problem#1 (Marks = 20) (Answer in the space provided, show important calculation steps) The following figure shows a tank fitted with an electric resistor of negligible mass holds 2 kg of carbon dioxide (CO?) gas, initially at 25 °C, 100 kPa. Over a period of 10 minutes, electricity is provided to the resistor at a rate of $W_\text{in} = 0.14$ kW. During the same period, a heat transfer of magnitude 14 KJ occurs from the CO? gas to its surroundings. The gas in the tank behaves as an ideal gas. The gas constant is $R = 0.19$ kJ/(kg.K) and specific heat is $C_v = 0.70$ kJ/(kg.K) for CO?. (0 °C = 273 K) Determine: (a) the final temperature $T_2$ of CO?, in °C, and (b) the final pressure $P_2$ of CO? in kPa.

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3. Find the tangent plane of the level surface $f(x, y, z) = x^2 + y^2 + z - 9 = 0$ at the point $P(1, 2, 4)$

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guillermo s.