course Mth 151

jnGXKnϟassignment #001

Your work has been received. Please scroll through the document to see any inserted notes (inserted at the appropriate place in the document, in boldface) and a note at the end. The note at the end of the file will confirm that the file has been reviewed; be sure to read that note. If there is no note at the end, notify the instructor through the Submit Work form, and include the date of the posting to your access page.

001. Areas

qa areas volumes misc

08-30-2007

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13:03:50

`q001. There are 11 questions and 7 summary questions in this assignment.

What is the area of a rectangle whose dimensions are 4 m by 3 meters.

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RESPONSE -->

Length x height = area

4 x 3 = 12

confidence assessment: 3

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13:05:33

`q002. What is the area of a right triangle whose legs are 4.0 meters and 3.0 meters?

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RESPONSE -->

4 * 3 = 12

confidence assessment: 2

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13:09:01

`q003. What is the area of a parallelogram whose base is 5.0 meters and whose altitude is 2.0 meters?

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RESPONSE -->

5 * 2 = 10

confidence assessment: 2

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13:10:53

`q004. What is the area of a triangle whose base is 5.0 cm and whose altitude is 2.0 cm?

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RESPONSE -->

5 * 2 = 10 cm

confidence assessment: 2

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13:14:20

`q005. What is the area of a trapezoid with a width of 4.0 km and average altitude of 5.0 km?

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RESPONSE -->

A = [(a+b)h] / 2

A = [(2)5] / 2

A = 10 / 2

A = 5

confidence assessment: 2

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13:18:22

`q006. What is the area of a trapezoid whose width is 4 cm in whose altitudes are 3.0 cm and 8.0 cm?

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RESPONSE -->

A =[ (a+b)h ] / 2

A = [ (4+3) 8 ] / 2

A = [ (12)8 ] / 2

A = 96 / 2

A = 48

confidence assessment: 1

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13:23:47

`q007. What is the area of a circle whose radius is 3.00 cm?

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RESPONSE -->

A = 3.14 (3) (3)

A = 3.14(9)

A = 28.26

confidence assessment: 1

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13:25:27

`q008. What is the circumference of a circle whose radius is exactly 3 cm?

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RESPONSE -->

C = pi (3)

C = 3.14 (3)

C = 9.42

confidence assessment: 1

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13:33:58

`q012. Summary Question 1: How do we visualize the area of a rectangle?

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RESPONSE -->

All four sides are right angles.

confidence assessment: 1

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13:41:43

`q014. Summary Question 3: How do we calculate the area of a parallelogram?

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RESPONSE -->

A = BH

confidence assessment: 1

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13:42:59

`q015. Summary Question 4: How do we calculate the area of a trapezoid?

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RESPONSE -->

A = [(a+b)h] / 2

confidence assessment: 2

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13:43:59

`q016. Summary Question 5: How do we calculate the area of a circle?

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RESPONSE -->

A = r^2 * pi

confidence assessment: 2

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13:45:02

`q017. Summary Question 6: How do we calculate the circumference of a circle? How can we easily avoid confusing this formula with that for the area of the circle?

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RESPONSE -->

c=pi(d)

confidence assessment: 1

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13:46:02

`q018. Explain how you have organized your knowledge of the principles illustrated by the exercises in this assignment.

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RESPONSE -->

I have made copies of the questions and explanations and posted them to Word for future reference.

confidence assessment: 3

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Good work.

It won't be important in this course, so don't worry about it, but note that all the given solutions have units at every step. Every quantity with units is expressed in those units.

course Mth 151

PzywKw˼assignment #001

Your work has been received. Please scroll through the document to see any inserted notes (inserted at the appropriate place in the document, in boldface) and a note at the end. The note at the end of the file will confirm that the file has been reviewed; be sure to read that note. If there is no note at the end, notify the instructor through the Submit Work form, and include the date of the posting to your access page.

001. typewriter notation

qa initial problems

08-30-2007

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12:21:58

`q001. Explain the difference between x - 2 / x + 4 and (x - 2) / (x + 4). The evaluate each expression for x = 2.

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RESPONSE -->

2 - 2 / 2 + 4 = 2-0+4

(2 - 2) / (2 + 4) 0 / 6

The parentheses determine what is done first. So the parentheses changes the expression which results in two different answers.

confidence assessment: 3

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12:28:22

`q002. Explain the difference between 2 ^ x + 4 and 2 ^ (x + 4). Then evaluate each expression for x = 2.

Note that a ^ b means to raise a to the b power. This process is called exponentiation, and the ^ symbol is used on most calculators, and in most computer algebra systems, to represent exponentiation.

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RESPONSE -->

2^2+4= 4+4= 8

2^ (2+4] = 2^6 = 128

The paretheses determines the order of operation. Since the ( ) are around 2+4 you would do that first and then the exponent.

confidence assessment: 3

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12:28:43

2 ^ x + 4 indicates that you are to raise 2 to the x power before adding the 4.

2 ^ (x + 4) indicates that you are to first evaluate x + 4, then raise 2 to this power.

If x = 2, then

2 ^ x + 4 = 2 ^ 2 + 4 = 2 * 2 + 4 = 4 + 4 = 8.

and

2 ^ (x + 4) = 2 ^ (2 + 4) = 2 ^ 6 = 2*2*2*2*2*2 = 64.

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RESPONSE -->

self critique assessment:

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12:34:05

`q003. What is the numerator of the fraction in the expression x - 3 / [ (2x-5)^2 * 3x + 1 ] - 2 + 7x? What is the denominator? What do you get when you evaluate the expression for x = 2?

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RESPONSE -->

The nunerator is x-2

The denominator is [(2x-5)^2 * 3x +1] - 2 + 7x

2-2 / [(2(2)-5)^2 * 3(2) +1] - 2 + 7(2)

0 / [(4-5)^2 * 6 +1] - 2 + 14

0 / [ 1*6+1] - 2 + 14

0 / 7 - 2 + 14

0 / 19

0

confidence assessment: 3

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12:38:41

`q004. Explain, step by step, how you evaluate the expression (x - 5) ^ 2x-1 + 3 / x-2 for x = 4.

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RESPONSE -->

(4 - 5)^2(4) - 1 + 3/4 - 2

Please Excuse My Dear Ant Sally:

Parenthese, Exponent, Mutiplication, Division, Addition and Subtraction.

You would first do the parenthese, then exponents, multiply, divide, add and substract.

confidence assessment: 3

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13:01:20

You should see a brief set of instructions and over 30 numbered examples. If you click on the word Picture you will see the standard-notation format of the expression. The link entitled Examples and Pictures, located in the initial instructions, shows all the examples and pictures without requiring you to click on the links. There is also a file which includes explanations.

The instructions include a note indicating that Liberal Arts Mathematics students don't need a deep understanding of the notation, Mth 173-4 and University Physics students need a very good understanding,

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RESPONSE -->

Boy that really helps to know how the equations are written. I was not able to get the Startup and Orientation link to come up, it says the page is not found.

self critique assessment: 3

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You need to know order of operations, and it appears that you do; though you missed a few steps here I think you'll be fine for the Mth 151 course.