Numerade

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BEST MATCH

Order the steps in proving the following identity: $\cos \lambda + \sin \lambda \tan \lambda = \sec \lambda$ 2 = $\frac{\cos^2 \lambda}{\cos \lambda} + \frac{\sin^2 \lambda}{\cos \lambda}$ 5 = $\frac{1}{\cos \lambda}$ 3 = $\cos \lambda + \frac{\sin^2 \lambda}{\cos \lambda}$ 4 = $\frac{\cos^2 \lambda + \sin^2 \lambda}{\cos \lambda}$ 6 = $\sec \lambda$ 1 = $\cos \lambda + \sin \lambda \frac{\sin \lambda}{\cos \lambda}$ Question 28 (4 points) Saved Put the following proof in order using the left-hand side.: $\frac{1-\sin x}{\cos x} = \frac{\cos x}{1+\sin x}$ = $\frac{\cos^2 x}{(1+\sin x)(\cos x)}$ = $\frac{(1+\sin x)(1-\sin x)}{(1+\sin x)(\cos x)}$ 1 = $\frac{\cos x}{1+\sin x}$ = $\frac{1-\sin^2 x}{(1+\sin x)(\cos x)}$

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4.4 Why aero plane can't fly that rocket speed is twice the exhaust speed when $ \frac{M}{M_{0}}=e^{2} $.

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Similar to previous problem, except a plus sight of 3.36 ft is taken on BM A, elevation 1265.58 ft, and a minus sight of 6.32 ft read on point X (2 decimal places).

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there are any issues with a patient's ability to perform activities of daily living. This may involve assessing their ability to dress themselves, bathe, eat, and use the bathroom independently. The COTA may also evaluate a patient's ability to safely transfer from one surface to another, such as from a bed to a chair. Additionally, they may assess a patient's cognitive abilities and their need for adaptive equipment to assist with daily tasks. The COTA works closely with the occupational therapist to develop treatment plans and goals for each patient, and they may also provide direct treatment services to help patients improve their functional abilities.

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Find the quadratic function $y = ax^2 + bx + c$ whose graph passes through the given points. $(-1, -7), (1, -1), (-2, -7)$ y =

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(3%) Problem 5: You are given a vector, $\vec{A} = (111)\hat{i}$, and an unknown vector, $\vec{B}$, that is perpendicular to $\vec{A}$. The cross-product of these two vectors is $\vec{A} \times \vec{B} = (75.7)\hat{k}$. 33% Part (a) What is the x component of the vector $\vec{B}$? 33% Part (b) What is the y component of the vector $\vec{B}$? 33% Part (c) What can you say about the z component of the vector $\vec{B}$? It must be negative. It must be zero. It could be positive, negative, or zero. It must be positive.

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QUESTION 3 Clint is a very confident person who tends to take charge when ? a. conscientiousness ? b. agreeableness ? c. extraversion ? d. openness

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QUESTION FOUR B Madina Ltd is engaged in the processing of palm fruits to produce palm oil and palm kernel oil. The Statement of Profit or Loss for the year ended 2021 is as follows: Revenue: GH000 123,817 Cost of sales: (84,940) Net gains from changes in fair value of biological assets: 84 Gross profit: 38,961 Administrative expenses: 11,727 Other income: 1,267 Operating profit: 28,501 Finance income: 888 Profit before income tax: 29,389 Income tax expense: (4,692) Profit for the year: 24,697 For the year ended 2020, the Statement of Profit or Loss is as follows: Revenue: GH000 95,620 Cost of sales: (76,240) Net gains from changes in fair value of biological assets: 754 Gross profit: 20,134 Administrative expenses: (8,494) Other income: 927 Operating profit: 12,567 Finance income: 508 Profit before income tax: 13,075 Income tax expense: (3,422) Profit for the year: 9,653 The Statement of Financial Position as at 31 December 2021 is as follows: Assets: Non-current assets: Property, plant & equipment: 57,909 Financial asset: 5,221 Total non-current assets: 63,130 Current assets: Inventories: 8,490 Trade Receivables: 24,663 Cash and cash equivalents: 22,832 Total current assets: 55,985 Total assets: 119,115 Equity & Liabilities: Share capital: 2,000 Retained Earnings: 97,634 Total equity: 99,634 Non-current liability: Deferred taxation: 9,394 Current liabilities: Accrued expenses: 477 Trade payables: 6,957 Current income tax liabilities: 2,653 Total current liabilities: 10,087 Total equity & liabilities: 119,115 The following ratios have been gathered from the food and processing industry for the year ended 31 December 2021: Return on Equity %: 23.52 Gross profit margin %: 29.57 Net profit margin %: 22.16 Current ratio (times): 2.5 Acid test ratio (times): 1.8 Inventory turnover (days): 20 Trade receivables collection (days): 68 Trade payables settlement (days): 32 Required: Write a report to the Board of Directors of Madina Ltd. assessing the company's performance for the year ended 31 December 2021 in relation to the industry and the comparative year. (Total: 20 marks)

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BEST MATCH

The accompanying figure shows the first three equilateral tri- angles in an infinite sequence of successively smaller equilat- eral triangles formed by connecting the midpoints of the sides of the preceding larger triangle. The largest triangle has sides of length 4. (a) Write the infinite series that represent the total perimeter of all the triangles. (b) Find the total perimeter of all the triangles using the infinite series in part (a).

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(11) A Young's double-slit apparatus is set up where monochromatic light is passed through two slits that are spaced 0.06 mm apart. The interference pattern on a screen 200 mm in front of the slits is shown to the right. Use the horizontal scale below the pattern on the screen to estimate the wavelength of the monochromatic light. Give your answer in nm. Remember 1 mm = 10$^6$ nm.

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luisa s.