It is recommended that drinking water contain 1.6 ppm of fluoride. If the local reservoir has a diameter of 450.0 m and a depth of 10.0 m (V= Pi*r² *h), how many grams of F should be added to the water in the reservoir to give the recommended concentration? If fluoride is provided by hydrogen hexafluorosilicate (H2SiF6), how many grams of H2SiF6 contain Fluoride?

matlab codes for fast decoupled power flow using these variables

Q. No 3. The pressure drop D_p over a length L of pipe is assumed to depend on the average velocity V, the pipe’s diameter D ,the average height h of the roughness elements of the pipe wall, the fluid density ρ ,and the fluid viscosity µ .Write a relationship between the pressure drop and the other variables. Use Indicial Method (Rayleigh’s Method) only.

Three equal impedances, (8+j6) ohms are connected in wye across a three-phase, three-wire supply. The symmetrical components of the phase A line voltages are:

Va0 = 0

Va1 = 220 + j 28.9 V

Va2 = -40 - j 28.9

If there is no connection between the load neutral and the supply neutral, Calculate the symmetrical currents of line a,b, and c.

A simple harmonic oscillator consists of a block of mass 3.4 kg attached to a spring of spring constant 120 N/m. When t = 0.84 s, the position and velocity of the block are x = 0.127 m and v = 3.23 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?

1-What is the expression for the thin lens equation? Define all the terms in the expression.

2-Describe the three properties that determine the focal length of a lens.

3-Define the following:
i. Converging lens______

ii. Diverging lens_______

iii. Focal length___________

iv. Focalpoint____________

v. Object distance_______

vi. Imagedistance___

vii. Real image___

viii. Virtual image

Neutron stars consist only of neutrons and have unbelievably high densities. A typical mass and radius for a neutron star might be 3.7 x 1028 kg and 1.3 x 103 m. (a) Find the density of such a star. (b) If a dime (V = 2.0 x 10-7 m3) were made from this material, how much would it weight (in pounds)?

A charge of -2.410 μC μ C is located at (2.980 m m , 4.714 m m ), and a charge of 1.615 μC μ C is located at (-2.703 m m , 0).

Part A: Find the electric potential at the origin. V=?

Part B: There is one point on the line connecting these two charges where the potential is zero. Find this point. x,y=?

1. Lead oxide may be reduced according to the following: PbO2(s) + 4H+ + 2e- = 2H2O + Pb2+ Eo = 1.55 V After a solution of PbO2 is aerated (pO2 = 0.21 atm, pe = 20.75) for a period of time it is observed that Pb2+ = 10-4 mole/L. What is the pH of the solution? Note: pe = Eo / 0.059. (5 points)

Given a graph G = (V,E), the source-sink pair (s,t) and capacity of edges {C_e ≥ 0 | e ∈ E}, design a polynomial-time algorithm to find a set of edges S, such that for every edge e ∈ S, increasing C_e will lead to an increase of max-flow value between s and t. Show the correctness of your algorithm.