Boyle’s Law
1.Example #1: 2.00 L of a gas is at 740.0 mmHg pressure. What is its volume at standard pressure * (740.0 mmHg) (2.00 L) =(760.0 mmHg) (x)
* X =(740 mmHg) (2.00L) / (760.0 mmHg)
Answer :
2. 5.00 L of a gas is at 1.08 atm. What pressure is obtained when the volume is 10.0 L? * 1.08 atm) (5.00 L) =(x) (10.0 L)
* X = (1.08 atm) (5.00 L) / (10.0 L)
Answer:
3. 2.50 L of a gas was at an unknown pressure. However, at standard pressure, its volume was determined to be 8.00 L. What was the unknown pressure? * (x) (2.50 L) = (101.325 kPa) (8.00 L)
* (101.325 kPa) (8.00 L) / (2.50 L)
Answer:
4. A sample gas occupies a volum of 225 ml at a pressure of 720.0 torr and a temperature of 20.0 celcius. Calculate the new pressure if the volume is increased to 350.0 mL, at constant temperature. * P2 = P1V1/V2 = (720.0 torr )(225 mL)/350.0mL

Answer: 463 torr
5. A balloon with a volume of 2.0 L is filled with a gas at 3 atmospheres. If the pressure is reduced to 0.5 atmospheres without a change in temperature, what would be the volume of the balloon? * Vf = (2.0 L)(3 atm)/(0.5 atm)

Vf = 6 L/0.5
Answer: 12 L
* Example #1: A gas is collected and found to fill 2.85 L at 25.0°C. What will be its volume at standard temperature? * Answer: convert 25.0°C to Kelvin and you get 298 K. Standard temperature is 273 K. We plug into our equation like this: *

* Example #2: 4.40 L of a gas is collected at 50.0°C. What will be its volume upon cooling to 25.0°C? * Answer: convert 50.0°C to 323 K and 25.0°C to 298 K. Then plug into the equation and solve for x, like this: *

* Example #3: 5.00 L of a gas is collected at 100 K and then allowed to expand to 20.0 L. What is the new temperature in order to maintain the same pressure (as required by Charles' Law)? * Answer

...Final Examination
Name: Course:
Date:
Final Examination in Statistics (M.A.Ed./M.A.N.)
1.The scores of 15 masteral students in Statistics were 80,85,78,90,91,98,95,98,95,74,71,72,98,99,and 87. Find the measures of central tendency, the range, the variance, and the standard deviation.
2. In the performance evaluation of teachers, if the dean’s evaluation is given a weight of 5, self-evaluation is 2, peer’s evaluation is 2, and student’s evaluation is 1 and the teacher’s rating is 90, 95, 85, and 90, the mean rating of the teacher would be?
3. Compare the performance in the licensure examination of the two groups of graduates given below using mean and standard deviation. Also rank and interpret the results.
| |GROUP A |GROUP B |
|1 |98 |78 |
|2 |79 |95 |
|3 |78 |86 |
|4 |82 |88 |
|5 |82 |82 |
|6 |88 |99 |
|7 |89 |88 |
|8 |85 |76 |
|9 |88 |85 |
|10 |90 |82 |...

...SampleProblems for Speed:
1. Calculate the speed of a dog running through a field if he is covering 23.7 meters in 54 seconds.
2. If a cross country runner covers a distance of 347 meters in 134 seconds, what is her speed?
3. What is the speed of a baseball that travels 49 meters in 2.4 seconds?
4. What is the speed of the horse that runs a distance of 250 meters in 3.5 seconds?
5. The girl runs 136 meters in 30 seconds. What is her total speed?
SampleProblems for Speed:
1. A man walks 350 meters along the street in 43 seconds. What is his speed?
2. A train travels 573 meters in 60 seconds. How fast is this train moving?
3. A deer runs 352 meters across an open field in 55 seconds. What is the speed of the deer?
4. An aircraft flies 963 meters in 59 seconds. How fast is it flying?
5. A rocket travels 851 meters in 33 seconds. What is it total speed?
SampleProblems for Velocity:
1. Calculate the velocity of a car that travels 556 kilometers northeast in 3.4 hours. Leave your answer in kilometres per hour.
2. What is the velocity of a ball rolling down a 3.4 meters hill in 6 seconds?
3. If a projectile files north 387 meters in 5.8 seconds, what is its velocity?
4. Calculate the velocity of the mountain climber, If the climber is moving northeast at a pace of 60...

...Hypothetical Case # 1: Emergency Contraception
Jeng Jeng is a 19 year-old college student at Universidad de Kounikos. She presents a prescription for four Looveral tablets. The instructions are to take two immediately and two in twelve hours. The pharmacist on duty, Marc, has strong pro-life beliefs. He refuses to dispense the prescription believing that the prescription is being used as an abortifacient. The patient explains that she needs to have the prescription filled soon, as she shared her tragic story of being attacked and raped a day before. Marc insisted that she should seek counselling.
|Looveral contains ethinyl estradiol and norgestrel and is used as a contraceptive when taken one tablet per day. |
|When taken in a manner prescribed to the patient above it is intended as a morning-after-pill-emergency post |
|coital contraception, to inhibit or delay ovulation or to prohibit implantation of fertilized egg within 72 hours|
|of intercourse. |
Questions:
a. Does the pharmacist have a right to refuse to dispense the drug?
b. What are the implications of such refusal to dispense to the patient? Employer? Co-workers? Profession? Society?
c. What can be done in order to minimize negative repercussions in such case?
Hypothetical Case # 2: Right to die
Sir Junior owns and manages a small but established drugstore. One of his loyal...

...High-Low Method
The controller of PATAY Hospital would like to come up with a cost formula that links admitting department cost to the number of patients admitted during a month. The admitting department’s costs and the number of patients admitted during the past nine months follow:
Month Number of Patients Admitted Admitting Department’s Cost
April 18 P 15, 600
May 19 P 15, 200
June 17 P 13, 700
July 15 P 14, 600
August 15 P 14, 300
September 11 P 13, 200
October 11 P 12, 800
November 48 P 72, 500
December 16 P 14, 000
REQUIRED: Using the high-low method, determine:
1. The variable costs per unit.
2. The annual fixed costs.
3. The admitting department’s monthly cost function.
4. Total estimated costs, if number of patients admitted for the month is 20.
(Adapted: Managerial Accounting by Garrison & Noreen)
Suggested Solutions:
1. b = 15,200 – 12,800 / 19 – 11
b = 2,400 / 8
b = 300
2. TC = VC + FC
TC = 300(X) + FC
12,800 = 300(11) + FC
12,800 = 3,300 + FC
FC = 12,800 – 3,300
FC = 9,500 per month
Annual: P9,500 x 12 = P114,000
3. Y = 300X + 9,500
4. TC = 300(20) + 9,500
TC = 6,000 + 9,500
TC = 15,500
Least-Squares Regression Method
Makabuhay Funeral Homes’ total overhead costs at various levels of activity are presented below:
Month Machine Hours Total Overhead Costs
March 500 P 970
April 400 P 851
May 600 P 1,089
June 700 P 1, 208
REQUIRED:
1....

...Sample Test Problems
9.1 Which type of secondary market provides the most efficient market for securities?
9.2 Is preferred stock classified as debt or equity?
9.3 Burnes, Inc. is a mature firm that is growing at a constant rate of 5.5 percent per year. The firm’s last dividend was $1.50. If the required rate of return is 12 percent, what is the market value of this stock assuming dividend growth equals the growth rate of the firm?
9.4 Abacus Corp. will pay dividends of $2.25, $2.95 and $3.15 for the next three years. After three years, the firm will grow at a constant rate of 4 percent. If the required rate of return is 14.5 percent, what is the current value of the stock?
9.5 The preferred stock of Wellcare Inc. is currently trading at $115.79. If the required rate of return is 9.5 percent, what is the quarterly dividend paid by this stock?
10.1 Testco Corp. is considering adding a new product line. The cost of the factory and equipment to produce this product is $1,780,000, and the company expects increased cash flows from the sale of this product to be $450,000 for each of the next eight years. If the company uses a discount rate of 12 percent, what is the net present value of this project? What is the internal rate of return of this project?
10.2 Flowers Unlimited is considering purchasing an additional delivery truck. The cost of the new truck will be $42,000. Cost savings are expected to be $12,800 for the next two years and $8,900...

...Physical Science
Investigating
Boyle’s Law
Contents page:
What does Boyle’s Law state? .....................................................2
An outline of what this project is about....................................2
Title.....................................................................................................2
Investigative question.....................................................................3
Hypothesis.........................................................................................3
Variables.............................................................................................3
Materials needed for experiment and procedure....................4
Diagram of set-up............................................................................5
Results and questions and answers..........................................6-8
Conclusion...........................................................................................9
Investigating Boyle’s Law
1. What does Boyle’s Law state?
Boyle's law states that the absolute pressure and volume of a given mass of confined gas are inversely proportional, if the temperature remains unchanged within a closed system.
2. An outline of what this project is about.
In this project I will be testing to see if pressure and volume are inversely proportional to one another. I will use...

...Express Right
Trial by jury: s 80
Section 80 of the Constitution appears to guarantee a right to trial by jury for offences arising under Commonwealth laws.
Section 80 applies if there is a trial on indictment, but leaves it to the Parliament to determine whether any particular offence shall be tried
on indictment or summarily: Kingswell v The Queen (1985)
• Does not apply to summary offence: R v Archdall & Roskruge; Ex parte Carrigan and Brown (1928)
Consequence of the s 80
• Defendant can’t elect to waive the right to jury: Brown v The Queen (1986)
• Jury unanimity is an essential element of the “trial by jury” guaranteed by s 80: Cheatle v The Queen (1993)
Freedom of religions: s 116
s 116 contains four separate guarantees: the Commonwealth shall not make any law
• “for establishing any religion”,
• “for imposing any religious observance”, or
• “for prohibiting the free exercise of any religion”, and
• “no religious test shall be required as a qualification for any office or public trust under the Commonwealth”.
What is a religion? Church of the New Faith v Commissioner of Pay-Roll Tax (Vic) (1983. (not a rigid test)
• Belief in the supernatural (what extends beyond the senses)
• Ideas relating to man’s nature and place in the universe and his relation to things supernatural.
• Requirements that adherents engage in particular conduct
• Ability to recognise adherents as a identifiable group
• Recognition by adherents themselves of their beliefs & practices as...

...conflicts are many powerful. How can Cinderella hope for a happy life when she has to deal with the loss of her parents, jealous step-sisters, back-breaking manual labor, and her step-mother’s constant disapproval and rage? The conflict in “Cinderella” is a very personal one; in fact, in literary terms it would be characterized as “man vs. man,” or actually “woman vs. woman,” in this case. Cinderella must deal with sticky interpersonal relationships, and again, most readers can identify with similar issues. On the other hand, the conflict in “Little Red Riding Hood” is not one with which most readers can identify. Who in their right mind has ever faced a hungry wolf dressed in Grandma’s nightgown and lying in Grandma’s bed? That type of problem clearly isn’t one that most people would share with their therapist! Additionally, that type of conflict, in literary terms, would be characterized as ”man vs. nature,” and actually, dealing with nature or even wild beasts from nature is much less complicated and happens much less frequently than dealing with difficult people!
Lastly, the theme of “Cinderella” is what truly makes it a better fairly tale than “Little Red Riding Hood.” Although readers may debate about what the ultimate theme of” Cinderella” is, in its most basic form it has to do with the importance of forgiveness in human relationships. After Cinderella wins the heart of the prince, marries him, and takes up residence in the palace, she...