Numerade

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a. Find the point on the $ x $-axis that is equidistant from $ (3,4) $ and $ (2-3) $. [4marks] b. The vertices of a triangle ABC are $ A(1,3), B(5,11) $ and $ C(9,5) $ Find the lengths of the medians. [4marks] c. Find the equation of a straight line that has the following properties: i. Passes through $ (3,5) $ and is parallel to $ 2 y+5 x+7=0 $ [4marks] ii. Passes through $ \left(-\frac{1}{3},-\frac{2}{5}\right) $ and is perpendicular to $ 3 y+10 x=8 $ [4marks] d. Calculate the distance from the point $ (2,-4) $ to the straight line $ 4 x-3 y+5=0 $ [4marks]

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Draw the keto and enol form of the following compounds and identify the number of acidic hydrogen. a) 1,2 - dihydronapthalen - 2 - one b) 2 - Methyl - 1 - cyclohexen - 1 - yl acetate

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When the two countries did not specialize, the total production of corn was 23 million bushels per month, and the total production of jeans was 68 million pairs per month. Because of specialization, the total production of corn has increased by million bushels per month, and the total production of jeans has increased by million pairs per month. Because the two countries produce more corn and more jeans under specialization, each country is able to gain from trade. Calculate the gains from trade—that is, the amount by which each country has increased its consumption of each good relative to the first row of the table. In the following table, enter this difference in the boxes across the last row (marked \"Increase in Consumption\"). Without Trade Production Consumption With Trade Corn Felicidad Jeans Corn Arcadia Jeans (Millions of bushels) (Millions of pairs) (Millions of bushels) (Millions of pairs) 15 20 8 48 15 20 8 48

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Identify the CORRECT Lewis structure for a compound with a moleculer formule of CH$_3$NCO (A) H-C?N-C-H H H (B) H-C=C=N H (C) H-C-N=C=O H (D) H-C?N-C-H H

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Evaluate the function at the given values of the independent variable and simplify.\\ $f(x) = \frac{3x^2 - 1}{x^2}$\ (a) $f(5)$ (b) $f(-5)$ (c) $f(-x)$

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FBR technique stands for: Question 10Select one: a. Feelings, Behaviors and Reactions. b. Features, Behaviors and Relationships c. Friendship, Benefit and Relationship. d. Function, Behavior, Reaction. e. Features, Benefits and Reaction.

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Problem 4) Write the formula for the linear transformation that would convert an image with gray levels ranging from 4 - 18 to an image with gray levels ranging from 10- 50? Problem 5) Write the formula for the linear transformation that would convert the image in Problem 3 to an image that has a mean gray level of 50 and a standard deviation of 25?

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Q9) 8.1 7.9 5.7 5.5 2.5 2.4 X For this stack up analysis (units mm) a) Perform Worst case condition analysis for X (10 p)

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Question [1]: A 10-kg rod is rotating with angular velocity of $\omega_1$=4 rad/s when it is vertical. Two springs with the same stiffness \"k\" and unstretched length of 1.5 m pin connected to the rod. Determine the spring stiffness \"k\" such that the angular velocity of the rod will be zero ($\omega_2$=0) when the rod is in horizontal position. [20 marks]

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Total cost Public warehousing Throughput volume Private warehousing The asterisk (*) located on the y-intercept on the Warehousing Costs Graph shown above represents the magnitude of what type of costs? Fixed costs associated with private warehousing Fixed costs associated with public warehousing Variable costs associated with private warehousing Variable costs associated with public warehousing Inventory carrying costs

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heather f.