A voltaic cell consists of a Pb/Pb2+ half-cell and a Cu/Cu2+ half-cell at 25 ∘C. The initial concentrations of Pb2+ and Cu2+ are 0.0500 M and 1.50 M , respectively.

Standard Reduction Half-Cell Potentials at 25 ∘C Half-Reaction E∘(V)

Cu+(aq)+e−→Cu(s) 0.52

Cu2+(aq)+2e−→Cu(s) 0.34

Cu2+(aq)+e−→Cu+(aq) 0.16

Pb2+(aq)+2e−→Pb(s) −0.13

1. What is the initial cell potential? Express your answer using two decimal places.

2. What is the cell potential when the concentration of Cu2+ falls to 0.200 M ? Express your answer using two decimal places.

3. What are the concentrations of Pb2+ and Cu2+ when the cell potential falls to 0.37 V ? Enter your answers numerically separated by a comma. Express your answer using two significant figures.

. True or false?

(1) There is at most one pivot in any row.

(2) There is at most one pivot in any column.

(3) There is at least one pivot in any row.

(4) There is at least one pivot in any column.

(5) There cannot be more free variables than pivot variables.

(6) There is a linear system that has exactly two solutions.

(7) The weights c1, ..., cp ? R in a linear combination c1v1 + ... + cpvp cannot all be zero.

(8) Given nonzero vectors u, v in R n , span{u, v} contains the line through u and the origin. Hint: can you describe this line as a set of vectors?

(9) Asking whether the linear system corresponding to a1 a2 a3 b is consistent, is the same as asking whether b is a linear combination of a1, a2, a3.

(10) If the augmented matrix of a linear system has two identical rows, the linear system is necessarily inconsistent

Analyze the following statements to see if they are true or false and then explain your answer.

A. In a two-good world, complements would have right-angle indifference curves.

B. Shepherd's Lemma explains how the Marshallian demand curves can be derived from the expenditure function.

C. If V is the indirect utility function, h is Hicksian demand and X is Marshallian demand, then h (P, V(P, I)) = X ( P, I)

D. Persons with consistent preferences exhibit diminishing marginal rates of substitution.

E. Economic models which are inaccurate descriptions of the real world are not of much use in predicting behavior of analyzing polices.

F. The Hicksian demand curve is steeper than the Marshallian demand curve.

G. A flat rate income tax could increase the work effort (hours worked) of the population compared to a graduated tax, even if everyone ended up paying more in taxes.

Question 1

U.S. homicide rates are 10 times greater than France or Germany's rates.

True

False

Question 2

Beyond injuries from gun violence, what other costs exist that are difficult to quantify?

Question 3

What was the court's decision of the McDonald, et al. v City of Chicago, et al. case?

Question 4

The City of New York v. A-1 Jewelry & Pawn, Inc. et al. case revealed two sides of an ongoing debate about whether gun manufacturers should be responsible for gun injuries.

A Mechanical design company produces an innovative design Component Z100 design of producing one(1) unit of component Z100 is provided in the bill of materials BOM which requires mix shown in Table Q3-1. The current monthly production of Component Z100 is consumption shown in Table Q3-2. Determine the following;

(i) Material usage variance;

(ii) Material price variance;

(iii) Total material cost variance;

(iv) Discuss at least two(2) importance of variance analysis in a manufacturing company

Table Q3-1

Table Q3-2

I need write in computer and all steps

A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is a(t)=96t, at which time the fuel is exhausted and it becomes a freely "falling" body. 1919 seconds later, the rocket's parachute opens, and the (downward) velocity slows linearly to −16 ft/s in 5 s. The rocket then "floats" to the ground at that rate.

(a) Determine the position function s and the velocity function v(for all times t).

(b) At what time does the rocket reach its maximum height? (Round your answer to two decimal places.)

What is that height? (Round your answer to the nearest integer.)

(c) At what time does the rocket land? (Round your answer to one decimal place.)

A company has 4.3 million shares of common stock outstanding and 85,000 bonds outstanding, par value of $1,000 each. Each bond has a 6.8 percent annual coupon rate and the bonds have 23 years to maturity and is now selling at $789.23. (Based on the current price, its YTM is 9%) Coupon is paid annually. The common stock currently sells for $58.00 per share and has a beta of 0.90.  The market risk premium is 7 percent and Treasury bills are yielding 5 percent and the company’s tax rate is 35 percent.

a. What are the weight of debt component (D/V) in the firm’s capital structure?

b. What is the weight of equity component (E/V) in the firm’s capital structure?

c.If the company is evaluating a new investment project that has the same risk as the firm’s typical project, what rate should the firm use to discount the project’s cash flows?

Given two random variables x and y

State of Nature   Probability   variable x   variable y

I 0.2 18 0

II 0. 2 5 -3

III 0.2 12 15

IV 0.2 4 12

V 0.2 6 1

(i) Calculate the mean and variance of each of these variables and the covariance between them

(ii) Suppose x and y represent the returns from two assets. Calculate the mean and variance for the following part folios.

% in x 125 100 75 50 25 0 -25

% in y -25 0 25 50 75 100 125

(iii)Find the portfolio that has the minimum variance.

(iv)Let portfolio A have 75% in x and portfolio B has 25% in x. Calculate the covariance between the two portfolios.

(v) Calculate the covariance between the minimum variance portfolio and portfolio A.

A dielectric-filled capacitor consists of two parallel plates, each with an area  A = 15.0 cm2 , seperated by a distance of d = 10.0 mm and dielectric constant k = 4.00. A potential difference  V= 10.0 V  is applied to these plates . Throughout the problem, use ϵ0 = 8.85×10⁻¹² C2/N⋅m2

Part A)

Calculate the energy U1of the dielectric-filled capacitor.(J)

Part B)

The capacitor remains connected to the battery. Calculate the energy U2 of the capacitor at the moment when the capacitor is half-filled with the dielectric, because the dielectric is slowly pulled away. of(J)

Part C

The capacitor is now disconnected from the battery, and the dielectric plate is slowly removed the rest of the way out of the capacitor. Find the new energy of the capacitor, U3 of (J)

Part D)

In the process of removing the remaining portion of the dielectric from the disconnected capacitor, how much work W is done by the external agent acting on the dielectric? of (J)

1. If you need to do 1.6x10^-6 J of work in order to get a charge closer to another charge, what is the increase in potential energy in J of the moved charge?

2. The work done by the electric force as a positive test charge of 3.0x10^-6 C moves from A to B is 6.0x10^-5 J. What is the difference in electric potential energy (EPE) between points B and A, in Joules? What is the potential difference (V) between points B and A?

3. A negative charge q1 = -6.0x10^-8 C has a distance of 100 m to a positive charge q2 = 6.0x10^-8 C. Two points, A and B, are on the line connecting the two charges. If A is 30 m away from q1 and B is 30 m away from q2, what is the potential difference in V between the points A and B?

4. What is the intersection angle between an electric field line and an equipotential line/surface?