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Find an equation of the line that passes through the given point and has the indicated slope m. Point Slope(2.6, −7.5) m = 0

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18. If $\lim_{h \to 0} \frac{g(3+h) - g(3)}{h} = 4$ then $g(3)$ (A) equals 3 (B) equals 4 (C) could equal anything. (D) equals 0 (E) equals 10

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QUESTION 6 Babu and Lukudi are in partnership sharing profits or losses in ratio \( 2: 1 \) respectively. On October 31,2014 , the partners decided to dissolve the partnership. The statement of financial position at that date is set out below: \begin{tabular}{|c|c|c|} \hline & atyooO & wYooO \\ \hline \multicolumn{3}{|l|}{ Non-current Assets: } \\ \hline Plant and equipment & & 75,000 \\ \hline Motor vehicles & & 15,000 \\ \hline & & 90,000 \\ \hline \multicolumn{3}{|l|}{ Current Assets: } \\ \hline Inventories & 120,000 & \\ \hline Accounts receivable & 36,000 & \\ \hline \multirow[t]{3}{*}{ Bank balance } & 12,000 & \\ \hline & & 168.000 \\ \hline & & 258,000 \\ \hline \multicolumn{3}{|l|}{ Capital } \\ \hline Babu & & 120,000 \\ \hline Lukudi & & 30,000 \\ \hline & & 150,000 \\ \hline Accounts payable & & 108.000 \\ \hline & & 258,000 \\ \hline \end{tabular} Notes: i. The plant and equipment were sold at \( \$ 79 \mathrm{~m} \) ATSWA PART II SEPTEMBER 2015 17 INSIGHT ii. Babu took over one of the vehicles with a book value of \( \$ 11.5 \mathrm{~m} \) for \( \$ 800,000 \). The remaining vehicles were sold for \( \$ 12 \mathrm{~m} \). iii. Inventories were sold for \( \$ 92 \mathrm{~m} \) while account receivable realised \( \mathbf{N}_{34} \mathbf{3 4} \mathbf{3} \) iv. The account payable gave a discount of \( \$ 2.10 \) on every \( \$ 1 \) owed. v. The realisation expenses were settled for \( \mathbf{2 4} 4.5 \mathrm{~m} \) You are required to prepare: a. Realisation Account b. Capital Accounts c. Bank Account \( (121 / 2 \) Marks)

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The phlebotomist should be prepared for the possibility that patient..... Will become faint Become cross and irritable Will feel light headed May feel nauseated All of the above

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6. In relation to Bayes Theorem: $P(A|B) = \frac{P(B|A).P(A)}{P(B)}$ Which of the following is a characterisation of the conservatism bias? a. Underweighting P(B|A) and overweighting P(A) b. Underestimating P(B) c. Overweighting P(B|A) and underweighting P(A) d. Overweighting P(B|A) and underestimating P(B)

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About 200 hormones move through the circulatory system and come in contact with all tissues in the body, but each hormone affects only certain types of tissues or organs. Whether a group of cells is targeted by a particular hormone depends upon Question 1Select one: a. whether the cells are actively dividing and growing b. whether the cells are also being stimulated by the nervous system c. the location of the cells in relation to the gland that produces the hormone d. the presence of appropriate receptor proteins on the cell membranes

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Determine whether the series \(\sum_{k=1}^{\infty} (-1)^{k-1} \sin\left(\frac{1}{5k}\right)\) is absolutely convergent, conditionally convergent or divergent.

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CSPs: Apartments Four people named Adam, Ben, Cory, and Dory are all looking to rent space in an apartment building. There are three floors in the building, 1, 2, and 3 (where 1 is the lowest floor and 3 is the highest). Each person must be assigned to some floor, but it's ok if more than one person is living on a floor. We have the following constraints on assignments: 1. Adam and Ben must not live together on the same floor. 2. If Adam and Cory live on the same floor, they must both be living on floor 2. 3. If Adam and Cory live on different floors, one of them must be living on floor 3. 4. Dory must not live on the same floor as anyone else. 5. Dory must live on a higher floor than Cory. We will formulate this as a CSP, where each person has a variable, and the variable values are the floors. 1. Draw the edges for the constraint graph representing this problem. Use binary constraints only. You do not need to label the edges (1pt). 2. Starting from the original CSP with full domains (i.e., without assigning any variables), enforce arc consistency (e.g., using AC-3) for the entire CSP graph, filling in the boxes next to the values that are eliminated for each variable (3pt): (hint: the values of three variables will be affected) Adam: 1 2 3 Ben: 2 3 Cory: 1 2 3 Dory: 1 2 3

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Two 3.0-g aluminum foil balls hang from 1.0-m-long threads that are suspended from the same point at the top. The charge on each ball is $+5.0 \times 10^{-9}$ C. Determine the angle between the threads. Assume the gravitational force is much greater than the electrostatic force. Express your answer in degrees.

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Two blocks of masses $m_1 = 13.4$ kg and $m_2 = 8.7$ kg are connected by a rope that hangs over a pulley as shown in the figure. The pulley is a uniform disk of radius $R = 0.48$ m and the mass $M = 6.5$ kg. The system is released from rest. Determine the magnitude of the acceleration of the blocks. Express your answer in units of m/s$^2$ using one decimal place. Take $g = 9.80$ m/s$^2$. Note: The moment of inertia of a uniform disk is $I_{disk} = \frac{1}{2}MR^2$. Assume the rope is massless and it does not slip over the pulley.

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