Numerade

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Subtract 12x 4y from 9x-2y Subtract $12x + 4y$ from $9x - 2y$

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What property of water allows some insects to walk on its surface high surface tension due to hydrogen bonding low velocity, allowing easy movement high density that supports weight low heat capacity reducing surface agitation

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For the following exercises right in equation for a rational function with the given characteristics vertical as some toes at X equals -4 and X equals Negative one X intercepts at (1,0) and (5,0),Y intercept at (0,7).

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1. A chemist has two different alcohol solutions available. One solution contains 5% alcohol and the other 12% How much of each should be mixed to obtain 1250 gal of a solution containing 10% alcohol? 2. The following table shows the number of bacteria present, in millions, measured on a surface during 5 hours. Find a function of the form $f(x) = ax^2 + bx + c$ that fits this Using this function, what would you predict the number of bacteria present at hour 10? Bacteria present (in millions) Hour 0 20 3 29 5 85

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Q-7 Does the safety plan reduces the number of factory accident at 5% level of significance? Plant No 1 2 3 4 5 6 Before 12 29 16 37 28 15 After 10 28 17 35 25 16

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I need a laser seeker circuit. I must use a photodiode, laser diode, and stepper motor. You can use other components for the system, but these 3 must be on the circuit. I need the circuit to be as basic as possible.

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1. (10 pts) A cylindrical metal specimen having a diameter of 105 mm and length of 2 m is deformed in tension with a force of 1855 kN. The modulus of elasticity for the material is 65 GPa and the Poisson's ratio is 0.33. The material's yield strength is 250 MPa and tensile strength 450 MPa. (1) (8 pts) What is the diameter of the specimen while this force is being applied? (2) (2 pts) What is the diameter of the specimen when the force is removed?

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Find analytically the operating points of the entire system and individual elements in the system (source, resistor, diode) for the diagram shown in the picture. Use a two-segment characteristic of a diode. E = 7.5 V, R = 5 ?, VD0 = 2 V, rD = 0.5?. As an answer, please give the values to two decimal places for voltages and currents with units after the decimal point according to the formula: QE(1.11 V, 1.11 A); QR(1.11 V, 1.11 A); QD(1.11 V, 1.11 A) (1 Point)

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3. (15 p) Flow rate inside a venture meter and orifice plate can be calculated by the following equation; $Q = A_2 \sqrt{\frac{2(P_1 - P_2)}{\rho \left[1 - \left(\frac{A_2}{A_1}\right)^2\right]}}$ Derive the volumetric flow rate equation by using the Bernoulli's and continuity equation. 4. (20 p) List the tools that can measure the volumetric flow rate of a fluid including the pitot static tubes. Sketch the devices and describe their working principles. (you can use the fluid dynamic lecture notes and the lab instruction manuals or do your own research online).

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QUESTION 3 Consider the joint probability density function given in question 2(b) above, then find (a) $P(X > 1, Y > 1)$. (b) $P(X < Y)$. QUESTION 4 Let Y have the probability density function [20 Marks] (10) (10) [26 Marks] $f(y) = \begin{cases} y, & 0 \le y \le 1, \\ 1, & 1 \le y \le 1.5, \\ 0, & \text{elsewhere.} \end{cases}$ (i) Find the density function of $U = 10Y - 4$. (ii) Find the expected value of $U$, $E(U)$. (iii) Find $P(U < 2)$. (iv) Find $P(7 < U < 9)$. (10) (8) (4) (4)

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emily f.