Prove that the following problem is in NP: Given a digraph G over n vertices (n is an even number), does G contain 2 vertex-disjoint simple cycles in which each cycle is of length n/2?

What type(s) of intermolecular forces exist between PH3 and CO32-?

A sample containing 2.00 x 10-2 mmol of Cu(NO3)2 and 3.00 x 10-2 mmol of K2SO4 is passed through an anion-exchange column. Calculate the volume of 0.0100 M HCl needed to titrate the eluate.

What is the change of pH upon addition of 10.0 ml of HCl 3.0 M to 750. ml of the following:

- pure water

- 0.1 M formic acid

- 0.1M acetate of sodium

- a buffer made of 0.1M potassium nitrite and 0.08 M nitrous acid.

Do you expect the ionization energies of anions of group 17 element to be lower than, higher than, or about the same for neutral atoms of the same group?

Globular clusters were classified by Shapley and Sawyer as being on a scale from 1 to 12 where 1 is very loosely packed central area and 12 is highly packed central area. As a visual astronomer, it seems difficult to judge the concentration of a globular cluster.

Has anyone tried to classify globular clusters concentration classes for something like the Astronomical League Club for Globular Clusters? http://www.astroleague.org/al/obsclubs/globular/globular1.html

It seems that to judge concentration you first need to know what percentage of the diameter of the globular cluster corresponds to the packed core. Visually, knowing the official stated size seems to be required since without that, it is hard to say how concentrated the core is as a glow percentage.

Can any human eye get anywhere near detecting all twelve steps of concentration? It is easy enough to distinguish 3 or 4 levels, but twelve seems daunting.

How can I attempt to properly judge globular clusters on the Shapley and Sawyer scale?

We understand that transport is derived demand, based on this, justify (with real world examples) why transport economists need to be aware of what is happening in other academic disciplines.

Currently in Zambia, private operators are allowed to provide certain modes of transport. However, some may argue that government should be the only provider of certain modes of transport. Based on this, highlighting both the benefits and the disadvantages of having government being the sole provider of the various mode of transport. Use Zambian examples to justify your answers.

use the method of half reactions to balance the following equations: a) CrI3 (s) + Cl2 (g) ----> CrO 2-4 (aq) + IO-4 (aq) (basic) b) C2H5OH (aq) + I-3 (aq) ----> CO2 (g) + CHO-2 (aq) + CHI3 (aq) + I- (aq) (acidic)

A solenoid runs through the x-y plane with n = 1,185/m. A circular wire wrapped 18 times with a radius of 0.49 meters is placed in the x-y plane in the solenoid. The solenoid's current increases from 6 amps to 28 amps running clockwise in a time of 2.4 millis-seconds. If the resistance of the circular wire is 2.4 Ohms, what is the amount, in amps, and direction of the average induced current in the circular wire? Indicate clockwise by including a negative sign, but do not include a sign for counter-clockwise.

According to Aristotle what makes someone a good communicator?

1.

Consider the following combinations of leisure and consumption:

A: $6,000 consumption and 3 days of leisure

B: $4,000 consumption and 5 days of leisure

C: $12,000 consumption and 7 days of leisure

Suppose that points A and B are on the same indifference curve, but C is on a different indifference curve.

Which of the following consumption bundles is definitely NOT on the same indifference curve as point C. [Hint, plotting combinations above may be helpful]

Select one:

a. $3,000 consumption and 4 days of leisure

b. $2, 000 consumption and 10 days of leisure

c. $1 consumption and 30 days of leisure

d. $24,000 consumption and 1 day of leisure

2.

John has convex indifference curves and has a time endowment of 16 hour in each day. John's has a flexible work schedule and can decide how long he wants to work each day for a wage of $10 an hour. John has no outside income. Which of the three consumption leisure combinations will John prefer [based on the properties of indifference curves we have discussed].

Select one:

a. $0 of consumption and 16 hours of leisure

b. $160 of consumption and 0 hours of leisure

c. $80 of consumption and 8 hours of leisure

A Private Poly Clinic in City wish to develop software to automate their Patient Monitoring system for storing the details of the patients visited the clinic. Develop a system to meet the following requirements:

Read the fees paid by ‘N’ patients into a one dimensional array in random order. Develop an algorithm, flow chart and write a C program to arrange the fees read in ascending order. Display the result with appropriate statements.

You have 11m of 0.60mm diameter copper wire and a power supply capable of passing 25Athrough the wire.

Part A

What magnetic field strength would you obtain inside a 2.0-cm-diameter solenoid with the wire spaced as closely as possible?

Part B

What magnetic field strength would you obtain at the center of a single circular loop made from the wire?

Answer ONE of the following Discussion Questions AND respond to at least TWO classmates’ Discussion Question postings.

1) Discuss ONE of the Themes or Messages within Se7en.

2) Analyze John Doe. What was his perspective and what did it represent? What was your view of him? How did he make you feel?

3) Talk about one of the relationships within the film (Somerset/Mills, Mills/John Doe, Mills/Tracy, Somerset/Tracy, etc.).

4) What was your perspective of Detective Mills' actions at the end of Se7en? Do you feel he did the right thing? Do you think that John Doe was telling him the truth? Explain.

Consider the base­catalyzed​reaction OCl­ (aq) + I­ (aq) → OH­ (aq) + Cl­ (aq) Determine the rate law and the rate constant, using the following initial rate data. (Hint: base­catalyzed​indicates that OH ­ affects the rate despite appearing as a product.)