Numerade

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6. Find the area of the given figure. Explain your reasoning.

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According to the lecture, what is a "bio hack" or a physiological state of being that has been proven to help with good decision-making? Low to Moderate Stress Adequate Sleep A full stomach (adequate nutrition) All of these

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The following equations are given for a hypothetical economy: C = 1500 + 0.5(Y – T) Consumption function I = 500 + 0.3Y – 10r Investment function G = 2,000 Government spending (X – M) = 500 – 0.2Y Net export function T = –500 + 0.2Y Tax function Based on these equations, determine the combinations of aggregate income (Y) and the real interest rate (r) that are consistent with equating income and expenditure. That is, find the equation that describes the IS curve. Please show and explain all steps, please!

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Give a clear example for the following definition 2.4 Definition 2.1. [1, 5] Let X be any non empty set. A fuzzy subset $\mu$ of X is just a function $\mu$: X $\rightarrow$ [0, 1]. Definition 2.2. [1] Let $\lambda$, $\mu$ be two fuzzy subsets of X. Then $\lambda$ = $\mu$ if and only if $\lambda$(x) = $\mu$(x), for all x $\in$ X. Definition 2.3. [5] A fuzzy subset $\mu$ of a group G is called a fuzzy subgroup of G if (i) $\mu$(xy) $\ge$ min($\mu$(x), $\mu$(y)) (ii) $\mu$(x$^{-1}$) $\ge$ $\mu$(x), for all x, y $\in$ G. Definition 2.4. [6] A fuzzy subgroup $\mu$ of a group G is called normal fuzzy subgroup if and only if for all x, y $\in$ G, $\mu$(xy) = $\mu$(yx).

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Which of the following is a characteristic of a monopoly market? Group of answer choices many suppliers of similar products easy entry The firm is a price taker. one single producer

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Let (2,3) be a point on the terminal side of 0.

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A 50%/50% mixture of Heptane and Octane is burned with 100% excess air. Calculate the molar composition of the flue gas in a dry basis if no CO is formed and 75% conversion of the limiting reagent is achieved in both reactions.

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Problem 6: (15 points) Determine the closed-loop voltage gain of the circuit shown in Figure P6, assuming ideal op amps.

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Q1/ Point charges 1 mC and 2 mC are located at (3, 2, 1) and (-1, -1,4), respectively.Calculate the electric force on a 10-nC charge located at (0, 1,3).* Q2/ Planes x = 2 and y = - 3, respectively, carry charges 10 nC/m2 and 15 nC/m2. If the linex = 0, z = 2 carries charge IOx nC/m, calculate E at (1, 1,-1) due to the * three chargedistributions Q3/ A square plate described by -2 sxS 2, -2 s ys2, z = 0 carries a charge 12 ly) mC/m. Find the total charge on the plate and the electric field intensity at .(10,0,0)

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1. How can define the runtime error? (a) Detected by the compiler (b) Causes the program to abort (c) Produces incorrect result (d) Running system calls 2. Ali studies mathematics, Anam studies physics, this can put inside the student class any object of them called................ (a) Instance (b) Interface (c) Method (d) Attribute 3. If class B inherits from class A then it contains all the characteristics (a) Methods (b) Information (c) Information structure and behavior (d) All declaration 4. Advantages of Inheritance (a) Less output (b) Less declaration (c) Security (d) Less redundancy 5. ............mean the messages can be interpreted in different ways depending upon the receiver class (a) Modularity (b) Polymorphism (c) Abstraction (d) Encapsulation 6. ............are shared by all the instances of the class (a) Static constants (b) Static methods (c) Static variables

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lori g.