Numerade

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left-tailed test comparing two means with variances unknown but assumed to be equal, the sample sizes were m_(1)=8 and m=12. At a=,05, the critical value ld be Multiple Cholke -1.960 . -1.734 . -2.101 -1.645 .

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15) through: (-3, 1), parallel to $y = -\frac{5}{3}x + 5$ 16) through: (-5, 5), parallel to $y = -\frac{1}{2}x - 1$ 17) through: (-5, -5), perp. to $y = -\frac{3}{5}x$ 18) through: (4, -3), perp. to $y = \frac{1}{2}x - 5$ 19) through: (-1, 5), perp. to $y = \frac{1}{4}x - 4$ 20) through: (-3, -5), perp. to $y = -\frac{1}{2}x + 4$ 21) through: (-1, -5), perp. to $y = \frac{4}{9}x - 3$ 22) through: (-5, -4), perp. to $y = -\frac{3}{4}x + 5$ 23) through: (5, 4), perp. to x = 0 24) through: (5, -3), perp. to $y = \frac{5}{8}x + 2$ Write the slope-intercept form of the equation of the line through the given points. 25) through: (-2, -3) and (-1, 1) 26) through: (0, -1) and (-2, 2) 27) through: (-4, 3) and (3, -1) 28) through: (-5, -4) and (0, 5) 29) through: (2, 1) and (0, -4) 30) through: (0, -2) and (-4, -3)

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Who continued Socrates work by writing hundreds of profound and complex dialogues?

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Explain why Rogers' thought these essential elements for successful psychotherapy are necessary. Name each element but also explain the importance of this model

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6) At time t=0 a ball is dropped from a height of 100 feet. One second later, another ball is dropped from the height of 75 feet. The position of the ball is given by the formula: $s(t) = -16t^2 + v_0t + s_0$, where s is measured in feet and t is measured in seconds. a) Which ball hits the ground first? b) Calculate speeds of the impacts. c) Calculate acceleration of the first ball at t=1.

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Question 4: 15 Marks Compute the Fourier series for the following functions: (4.1) $x - \frac{\pi}{2}$ on $\left( -\frac{\pi}{2}, \frac{\pi}{2} \right)$. 10 (4.2) $\pi - x^2$ on $( -\sqrt{\pi}, \sqrt{\pi} )$.

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\log_5(125) = \log_6\left(\frac{1}{36}\right) = \log_{10}(\sqrt[5]{10}) =

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To accurately design/simulate the distillation processes above, the knowledge of vapor-liquid equilibrium (VLE) of the methanol-benzene system is of great importance. Non-ideality plays a very important role in the design, and activity models can be used to account for the non-ideality in the liquid phase with reliable accuracy if their adjustable parameters are fitted against a representative sample of experimental data. Discuss your findings about the fugacity coefficient. (Where species 1 is methanol and species 2 is benzene, X represents the liquid phase while y represents the vapor phase.) T(K) 331.13 331.14 331.19 331.28 331.3 331.58 331.6 332.14 332.75 334.05 337.36 ox1 ox2 oyl ov2 0.981259 0.967032 0.981255 0.967044 0.981327 0.966958 0.981246 0.967136 0.981368 0.966956 0.981441 0.966992 0.981268 0.967275 0.981296 0.967541 0.981344 0.967828 0.981486 0.968386 0.981920 0.970141 0.981183 0.981175 0.981486 0.981126 0.967168 0.967190 0.966763 0.967391 0.966635 0.966531 0.967639 0.968008 0.968313 0.968847 0.970084 0.981674 0.981984 0.981122 0.981153 0.981226 0.981413 0.981923

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5. (5 points) What does the following program do, assume the keyboard input was 12, 10: #include<iostream> int mystery(int int); int main() { int x, y; cout << "Enter two integers" << endl; cin >> x>> y; cout << "The result is" << mystery(x,y)<< endl; return 0; } int mystery(int a, int b) { // b must be positive if (b==1) return a; else return (a+mystery(a+1,b-1)); }

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Shown in the figure below is a 0.2 m long block at an incline with a force of 370 N applied to it. The angle of the incline is the same as the one found in part a) (0.368Â°). The rounding error is 0.0006 cm/s.

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paul g.