Find the area of a circle with a radius

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Reference no: EM13739180

Part 1-

1. The principles for supplying evidence in support of a thesis could be represented by an acronym: RSVSRA. According to the information in your text, the two "Rs" could stand for

A. revealing and relevant.

B. respectful and revealing.

C. representative and revealing.

D. relevant and representative.

2. Lillian is looking for ideas to write about, and she decides to make a list of everything she can think of that relates to the topic of teenage romance. Which concept best describes Lillian's strategy?

A. brainstorming

B. mapping

C. Free association

D. outlining

3. After Sean was arrested for breaking into a pawnshop, I began to wonder. Why did some kids from my neighborhood end up in trouble while most of us didn't? I started out with a question: What causes young people to make bad choices? Now, after two year of research, I've arrived at the conclusion that there is no simple answer. There is no one reason why good kids go bed, but there are typical reasons. That's because people learn their values from the people they associate with. So a very big reason for bad behavior is imitating one's peers. But there are other important factors as well. Kids who get in trouble are often school dropouts. Also, kids being raised by a single mother are more likely to get in trouble than kids raised in an intact family. Substance abuse also plays a role, especially when it comes to alcohol and legal or illegal drugs.

What method of organization is used by the writer?

A. Chronological

B. Least-to-most

C. Spatial

D. Most-to-least

4. Which of the following titles is mad more effective by alliteration?

A. Guns: our lethal heritage

B. What's in the name?

C. Ruby, the rose of Roslyn

D. Now you see it; now you don't

5. Which of the following statements best identifies a learning style that's creative, verbal, and independent?
Und the time of biological puberty, a child becomes an adult through a ritual anthropologists call a rite of passage. (7) By contrast, in American society, adolescence amounts to a sort of social and cultural limbo. (8) Informally, the end of childhood is often marked by one's thirteenth birthday. The child is now a "teenager." (9) More formally, the end of adolescence is marked by legal strictures that vary irrationally. In a given state the age of sexual consent may be 16 for girls and 18 for boys. (11) An 18-year-old may vote or enlist to die for his country, but, until he reaches age 21, he may not legally purchase alcoholic beverages. In the paragraph, the thesis is best suggested

A. In sentences 3 and 4.

B. By what the reader decides about the actual nature of adolescence.

C. Through an implied topic sentence.

D. In sentence 1 and 3.

6.An active reader who is assigned an essay to read will begin by

A. Reading the entire essay.

B. Skimming the entire essay.

C. Previewing specific parts of the essay.

D. Researching the subject of the essay.

7. The usual point of view when writing a formal academic essay is

A. Personal.

B. Third person.

C. Second person

D. Subjective

8. As a general rule, where in your essay is it best to place your thesis statement?

A. In the second or third paragraph of the body of the essay

B. At the end of the essay, as part of the conclusion

C. In the first, introductory paragraph of the essay

D. Anywhere at all, because the best thesis statement is implied, not specified

9.Which of the following is a common error in composing a thesis statement?

A. You offer an original perspective on a familiar theme

B. Your thesis statement contains two or more central points

C. You focus your thesis statement after you begin writing.

D. Your thesis statement is specific as opposed to general

10.In searching out the key elements as you read an essay, you're most likely to discover the author's support for his or her claims or ideas in the

A. Conclusion

B. Title

C. introductory paragraph

D. Body of the essay

Part 2-

Question 1

Given the formula : A=P(1+r/n)n(times)t

Find the amount of money accumulated if you invested $25,000 at 4.3% interest for 8 years compounded monthly.

a. $25,046.18

b. $35,242.79

c. $734,122.84

d. None of the above

Question 2

Given the formula: A=Per(times)t

Find the amount of money accumulated if you invested $25,000 at 4.3% interest for 8 years compounded continuously.

a. $779,673.95

b. $26,098.45

c. $35,264.47

d. None of the above

Question 3

Find the inverse of: F(x)=3x+6

a. y=x-6/3

b. y=x+6/3

c. y=x-2

d. None of the above

Question 4

Given the functions :

F(x)=2/3x-6

g(x)=3/2x+9

Determine if f(x) and g(x) are inverses of each other.

a. Yes, they are inverses

b. No, they are not inverses

Question 5

Given the functions:

F(x)=2x+4

G(x)=1/2x-4

Determine if they are inverses of each other.

a. Yes, they are inverses

b. No, they are not inverses

Question 6

Evaluate :

Log755

(Round to the nearest thousandth.)

a. 1.740

b. 0.486

c. 2.059

d. None of the above

Question 7

Evaluate :

log17205

(Round to the nearest thousandth.)

a. 1.879

b. 0.532

c. 2.312

d. None of the above

Question 8

Expand the following logarithm as much as possible:

Logbx2y3/z4

a. logbx2+logby3-logbz4

b. 2logbx2+3logby3-4logbz4

c. 2logbx+3logby-4logbz

d. None of the above

Question 9

Expand the following logarithm as much as possible:

log xyz²

a. log x + log y + 2log z

b. (log x)(log y)(2log z)

c. 2(log x + log y + log z)

d. None of the above

Question 10

Express as a single logarithm:

3logbx+5logby-1/2logbz

a. Logbx^3logby^5/logbz1/2

b. Logbx^3y^5/z1/2

c. Logbx^3y^5/logbz1/2

d. None of the above

Question 11

Express as a single logarithm:

(logbx-logby)-logbz

a. logb x/yz

b. Logb xz/y

c. Logb yz/x

d. None of the above

Question 12

Solve the equation for x : log75+log7x=1

a. x = 35

b. x = 7/5

c. x = 5/7

d. None of the above

Question 13

Find all solutions for x: log10^x+log10(x-3)=1

a. x = 5

b. x = 5 or -2

c. x = -5

d. x = 2

Question 14

Using your calculator, find log 45.3

Round to the nearest ten-thousandth.

a. 1.6532

b. 3.8133

c. 1.6561

d. None of the above

Question 15

Using your calculator, find

Log 17/3

Round to the nearest ten-thousandth.

a. 0.7533

b. 1.4560

c. 2.5789

d. None of the above

Question 16

Using your calculator, find in 38.5

Round to the nearest ten-thousandth.

a. 1.5855

b. 3.6376

c. 3.6507

d. None of the above

Question 17

Using your calculator, find: In (square root) 58

Round to the nearest ten-thousandth.

a. 4.0604

b. 2.0302

c. 0.8817

d. None of the above

Question 18

Solve this exponential equation to the nearest hundredth (using a calculator as needed)

3ex-1=17

a. x = 6.00

b. x = 0.78

c. x = 1.79

d. None of the above

Question 19

How long will it take me to get $50,000, if I invested $5000 in an account giving me 8.7% interest, compounded continuously?
Round your answer to the nearest tenth.

a. 11.5 years

b. 26.5 years

c. 0.3 years

d. None of the above

Question 20

Compound interest is where the interest is added to the account periodically and you can earn interest on that interest that you earned previously.

Part 3-

1. According to the World Health Organization (WHO), AIDS is listed as the _______ main cause of global deaths.

A. second

B. fourth

C. third

D. eighth

2. Mensa Musa was the famed emperor of

A. Mali.

B. Songhai.

C. Ghana.

D. Fulani.

3. As of 2008, the population of Australia was 21.3 million, and the population of New Zealand was closer to ________ million.

A. 4

B. 8

C. 12

D. 10

4. In sub-Saharan Africa, female genital mutilation is

A. uncommon in Nigeria.

B. rare in Mali.

C. unheard of in Central Africa and Namibia.

D. most common in northern countries of the region.

5. In Australia, most cattle ranching is found in

A. South Australia.

B. Victoria.

C. New South Wales.

D. Queensland.

6. A major objective of the South Pacific Forum founded in 1971 was

A. reconciling diverse cultural heritages.

B. expanding the copra trade.

C. identifying and resolving human rights concerns in the region.

D. stopping French nuclear testing in the region.

7. At independence, the most prosperous country of former French Western Africa was

A. Senegal.

B. Côte d'Ivoire.

C. Chad.

D. Benin.

8. Moving from coastal to interior regions of sub-Saharan Africa, we discover that the dominant physical geographic feature is

A. many coastal inlets.

B. lush rainforest.

C. ascending plateaus.

D. mountainous terrain.

9. Which of the following is true of the Antarctic Treaty System?

A. It was established specifically to enforce ecological regulations.

B. It provides the de facto governance of the continent.

C. It's actually the Society for the Geographic Exploration of Antarctica.

D. It bans commercial mining in Antarctica.

10. With respect to global connections, association with _______ offers the brightest immediate future for many African countries.

A. India

B. the United States.

C. China

D. the European Union.

11. Which statement best characterizes animism?

A. It's a religion that maintains the futility of human existence.

B. It's the basis of social status within a tribe.

C. It combines natural, human, and spiritual forces.

D. It's composed of irrational superstitions that arise in underdeveloped rural communities.

12. During the Cold War, the United States supported the military dictatorship in

A. Mozambique.

B. Angola.

C. Ethiopia.

D. Democratic Republic of Congo.

13. The natural vegetation regions of sub-Saharan Africa

A. don't correspond closely to climatic regions.

B. are heavily impacted by human activity.

C. are all characteristic of equatorial latitudes.

D. only correspond to climatic conditions in areas of West Africa.

14. Sudan is omitted from inclusion in the sub-Saharan region because it

A. contains most of the evidence of humanity's African origins.

B. is politically distinct from other regional countries.

C. doesn't border the Sahara Desert.

D. is linked to Egypt by the Nile.

15. In the context of European colonization, Portugal controlled Mozambique and

A. Angola.

B. Congo.

C. Kenya.

D. Madagascar.

16. Tourism is the _______ industry in the world.

A. third-largest

B. second-largest

C. fourth-largest

D. largest

17. Which South African city is a regional hub of commerce and has South Africa's premier international airport?

A. Durban

B. Pretoria

C. Cape Town

D. Johannesburg

18. Slum areas called shantytowns occur in _________ major African cities, housing over _________ percent of urban populations.

A. some; 40

B. five major; 50

C. nearly all; 60

D. all; 70

19. The lowlands west of Australia's eastern mountain range are drained by the Murray-DarlingRiver system, with its main headwaters in the Great_______Basin.

A. Barrier

B. Artesian

End of exam

C. Dividing

D. Darling

20. The Great _______ Range, running just inland along Australia's eastern coast, is that continent's only significant mountain chain.

A. Eastern

B. Dividing

C. Barrier

D. Australian

Part 4-

1. One problem when using rigid metal conduit in a residence is that the installation of the conduit may

A. weaken the structure.

B. require an equipment ground.

C. be a fire hazard.

D. be an electrical hazard.

2. The internal area of 2-inch IMC is

A. the same as the internal area of 2-inch EMT.

B. less than the internal area of 2-inch EMT.

C. less than the internal area of 2-inch rigid metal conduit.

D. greater than the internal area of 2-inch rigid metal conduit.

3. One governing factor when determining the minimum size of conduit to be used is the

A. length of the conduit.

B. presence of water.

C. location.

D. conductor fill.

4. A 10-inch beam is in the path of a conduit run from a junction box which is located 38 inches from the beam. The beam is to be bypassed by a 30-degree offset with the second offset bend occuring at the corner of the beam. At what distances from the outlet box will the two bends be marked on a length of 1-inch EMT?

A. 18 inches and 38 inches

B. 20 1/2 inches and 40 1/2 inches

C. 38 inches and 40 1/2 inches

D. 8 inches and 48 inches

5. If you have a motor that must remain adaptable to several sizes of belts, what is the maximum length of flexible metal conduit you can use before the conduit requires fastening?

A. 10 feet

B. 4 1/2 feet

C. 3 feet

D. 1 foot

6. What is the take-up amount for a stub-up bend using 1-inch IMC?

A. 5 and 5/8 inches

B. 16 and 5/8 inches

C. 11 inches

D. 8 inches

7. Which of the following combinations of bends can be used in a conduit run?

A. One 90-degree, six 45-degree and one 30-degree

B. One 90-degree, three 45-degree, and four 30-degree

C. Two 90-degree, four 45-degree, and one 30-degre

Part 5-

1. Find the area of a triangle with a base of 10 in. and an altitude of 14 in.

A. 24 sq. in.

B. 70 sq. in.

C. 140 sq. in.

D. 280 sq. in.

2. Suppose you're given the formula R = s + 2t. If you know that s is three times greater than t, how could you rewrite the formula?

A. R = 3(s + 2t)

B. R = 3(s + t)

C. R = 5s

D. R = 5t

3. During a four-week period, you worked the following hours:

Week 1-36 3/8 hr

Week 2-41 1/4 hr

Week 3-41 1/2 hr

Week 4-38 3/8 hr

4. What is the average number of hours you worked in one week?

A. 38 1/4

B. 38 3/4

C. 38 1/8

D. 39 3/8

5. The expression a = 3b2 + 2 can be written in words as the quantity a is equal to

A. three times the quantity two plus b squared.

B. three times the square root of b plus two.

C. two more than three times the quantity b squared.

D. two plus the square root of three × b.

6. A pipe that is 36 inches long needs to be cut into 21/4 in long pieces. How many pieces would be cut from this length of pipe? (Note: Change 21/4 to an improper fraction before calculating.)

A. 44/9

B. 11 and 1/4

C. 16

D. 81

7. Calculate the current in the circuit shown in Figure A-1. Use the formula

I = E/R.

A. 0.25 A

B. 4 A

C. 10 A

D. 100 A

FIGURE A-1-Use this circuit schematic to answer question 6.

8. Express the fraction 2/7 as a rounded decimal.

A. 0.285

B. 0.286

C. 2.85

D. 2.86

9. The term rate in percent problems refers to the

A. whole amount that's being considered.

B. part of the whole amount that's being considered.

C. comparison of one ratio to another.

D. percent of change.

10. Find the value of y in the formula y = 5a - 3b + c, if a = 12, b = 4, and c = 8.

A. 40

B. 56

C. 64

D. 80

11. You want to apply a weed killer to your lawn. The directions on the bottle call for mixing 3 ounces of the weed killer with 2 gallons of water. The sprayer you have holds 5 gallons. In order to completely fill the sprayer with a proper mixture, how many ounces of weed killer must you use?

A. 31/3

B. 52/3

C. 71/2

D. 61/5

12. Fractions can be added and subtracted only if they're _______ fractions.

A. proper

B. improper

C. like

D. unlike

13. What is the product of 2/8 and 3/5?

A. 5/13

B. 3/20

C. 5/12

D. 7/11

14. Write the decimal 0.006 as a fraction.

A. 6/10

B. 6/100

C. 6/1000

D. 6/10,000

15. An electric heater uses 3/5 watts of power each hour. How many watts of power will the heater use in 1/2 hour?

A. 3/10

B. 3/5

C. 1 and 1/10

D. 1 and 1/5

16. Which one of the following distances is the longest?

A. 3 yards

B. 7 feet

C. 20 inches

D. 50 inches

17. An angle that contains 126 degrees and 32 minutes is a(n) _______ angle.

A. obtuse

B. acute

C. right

D. straight

18. Corrugated Specialties produces boxes of all kinds. During a normal month they manufacture an average of 67,000 shirt-size boxes. During November they've been told to increase production by 35%. How many boxes will they produce in November? (Note: This question requires two calculations.)

A. 23,450

B. 23,625

C. 90,450

D. 91,125

19. When drawing an angle with a protractor, after you've drawn the first side of the angle, your next step is to

A. make a dot marking the angle measurement that you're drawing.

B. mark the vertex of the angle.

C. draw the second side of the angle.

D. calculate the number of minutes in the angle you're drawing.

20. Which one of the following formulas correctly expresses the following statement: The number x is equal to another number n plus the square root of 3.

A.

B.

C. x = 3n2

D. x = n + 32

21. If a triangle-shaped machine part has sides of 2 1/2 inches, 3 1/4 inches, and 5 inches, the perimeter of the triangle is

A. 9 1/2 inches.

B. 10 1/8 inches.

C. 10 3/4 inches.

D. 11 3/8 inches.

22. The distance h a body will move in a free fall is expressed by the formula

h = 1/2 gt2. If g = 980 cm per sec2 and t = 20 sec, the distance h is

A. 9,800 cm.

B. 49,000 cm.

C. 196,000 cm.

D. 368,000 cm.

23. Solve the following equation for y: (square root of )

A. y = 14

B. y = 16

C. y = 32

D. y = 64

24. Find the area of a circle with a radius r of 6 feet. Round off your answer to one decimal point. (The formula for the area of a circle is A = p r2 and p should be approximated to four decimal places.)

A. 18.8 sq ft

B. 59.2 sq ft

C. 113.1 sq ft

D. 355.3 sq ft

25. If the length of a room is 20 feet and its width is 12 feet, the perimeter of the floor area is

A. 32 feet.

B. 44 feet.

C. 52 feet.

D. 64 feet.

26. The first step you should take to solve the formula is

A. multiply 3 by 6.

B. cancel 6 into 6.

C. subtract 2 from 3.

D. find the value of 6 squared.

Reference no: EM13739180

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