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Dante is doing a history report on WWII. He is investigating the idea of eugenics that the Nazis adopted to justify their forced sterilizations, mass murder, and annihilation of entire ethnic groups. Dante is investigating this idea of eugenics further and has found that another individual actually posed this idea. Which individual concluded that desirable traits could be bred in and undesirable traits could be bred out of human beings? Galton Mendel Crick Watson

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Timothy has an opportunity to buy a $1,000 par value corporate bond with a coupon rate of 8% and a maturity of five years. The bond pays interest annually. If Timothy requires a return of 6%, what should he pay for the bond?

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Question 1 AES (50 points): Given the input plaintext as follows: 9D 3A B7 81 78 46 A5 02 FA 89 E4 95 EO 47 25 3C (1) Please fill out the following output state of substitute bytes transformation using the S-box shown below.(10 points) 4 A B 2B 63 7C 77 7B F2 6B 6F CS 30 01 67 FE D7 AB 76 CO 15 CA 1 AT 42 AF 90 44 BT 26 34 A5 D8 J OB 98 SA Output state: 5E 06 2D 2A A0

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1. A water jet with a flow rate of Q = 100 ft³/s is moving in the positive x-direction at 50 ft/s with a uniform velocity. The jet splits into two, with the upper and lower portions each diverted symmetrically by 45° as shown. The outflow velocity is uniform, and the speed is 20ft/s. All flows are steady. Note that $p = 1.94 slug/ft^3$, and the pressures are all atmospheric (hint – no pressure contributions...). a) Conservation of Mass: Assume that the jet is constrained to a depth of 1 ft. What is the jet height in the inflow and outflow sections, denoted by $h_1$ and $h_2$? b) Conservation of Momentum: Disregarding gravitational effects, what is the x-component of force required to hold the diverter in place? Please define the control-volume and show all steps in solving this problem.

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Question 38 The degrees of freedom for a contingency table with 6 rows and 3 columns is 6 15 18 10 Question 39

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Problem 5. Consider the continuous rolling mill depicted in the below figure. Suppose that the motion of the adjustable roller has a damping coefficient b, and that the force exerted the rolled material on the adjustable roller is proportional to the material's change in thickness: $F_s = c(T - x)$. Suppose further that the DC motor has a torque constant $K_t$, and a back-emf constant $K_e$, and that the rack-and-pinion has effective radius of R. (a) (2pt) What are the inputs and output to this system? (b) (3pt) Obtain the system equations by (i) dynamic analysis of adjustable roller and (ii) DC motor circuit analysis

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Prove that there exists a unique integer $m$ such that $m > 1$, $m \mid 10$ and $m \mid 15$.

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An aluminum cylindrical fin ($k = 228 \frac{W}{m^oC}$), having a diameter of 1 cm and a length of 10 cm is attached to a surface having a temperature of $95^oC$. The fin is exposed to an ambient air at $20^oC$ and the heat transfer coefficient along the length and at the end is $8.51 \frac{W}{m^2 oC}$. Determine the temperature distribution and the heat flux a) neglecting heat transfer at the end b) accounting for heat transfer at the end.

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V1 R2 R1 9 10 55000 2N3906 .tran 20 C1 0.0000087 Q1 Q2 2N3904 R3 8

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4. For the fire hose shown below, the nozzle is attached to the house with a bolted flange. If a pressure of 50 psi is measured entering the nozzle from the 4 in diameter hose, determine the reaction force on the flange. Assume the hose is held horizontally and delivers freshwater at 68° F.

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