Category Archives: MAT 126

ASH MAT 126 Week 1 DQ 1 NEW

ASH MAT 126 Week 1 DQ 1 NEW

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All numbers in our real number system are the product of prime numbers. Complete the following steps for this discussion:

1. List the ages of two people in your life, one older than you and one younger than you. It would be best if the younger person was 15 years of age or younger.

2. Find the prime factorizations of your age and the other two persons’ ages. Show your work listed by name and age. Make sure your work is clear and concise.

3. Find the LCM and the GCF for each set of numbers. Again, be clear and concise. Explain or show how you arrived at your answers.

4. In your own words, explain the meaning of your calculated LCM and GCF for the ages you selected.  Do not explain how you got the numbers; rather explain the meaning of the numbers. Be specific to your numbers; do not give generic definitions.

5. Respond to at least two of your classmates’ postings. Did your classmates calculate the LCM and GCF correctly? Are their interpretations correctly applied to the ages?

Your initial post should be at least 150 words in length. Respond to at least two of your classmates’ posts by Day 7.

 

ASH MAT 126 Week 1 Quiz NEW

ASH MAT 126 Week 1 Quiz NEW

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1. Question : Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items.  How many backpacks contained exactly two of the three writing instruments?

2. Question : Which property of real numbers does the following equation demonstrate?

4(x – 7) = 4x – 28

3. Question : Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence.1 2 4 8 16 ____

4. Question : Let U = {5, 10, 15, 20, 25, 30, 35, 40}

A = {5, 10, 15, 20}

B = {25, 30, 35, 40}

C = {10, 20, 30, 40}.

Find A    B.

5. Question : Which of the following expressions finishes the equation to demonstrate the associative property of addition?

(3+8)+5=

6. Question : In a survey of 24 college students, it was found that 16 were taking an English class, 17 were taking a math class, and 10 were taking both English and math.  How many students were taking a math class only?

7. Question : Phil has 15 stamps of denominations $0.37 and $0.23. If the total value of the stamps is $4.85 how many $0.37 stamps does Phil have?

8. Question : A car travels 359 miles on 6.6 gallons of gasoline. How many miles per gallon did the car get? (Round to the nearest tenth.)

9. Question : Round to the nearest hundred. 3,653

10. Question : Which statement is false?

11. Question : Write the set using set-builder notation: {natural numbers greater than 11}.

12. Question : State whether the following sequence is arithmetic, geometric, or neither.

0, 1, 4, 9, 16, 25, 36, ….

13. Question : The peak rate of a phone company is $.22 per minute, and the off-peak rate is $.11 per minute. Find the savings for a 16-minute phone call if it was made during off-peak time as opposed to peak time. Round to the nearest hundreth.

14. Question : State whether the following sequence is arithmetic, geometric, or neither.

10, 10.25, 10.50625, 10.76890625, ….

15. Question : State whether the following sequence is arithmetic, geometric, or neither.

4, 15, 26, 37, 48, 59, …..

16. Question : Find the number of subsets the set has.  {1, 2, 3, 4, 5, 6, 7, 8, 9}

17. Question : Which set is infinite?

18. Question : Which set is finite?

19. Question : Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items.  How many backpacks contained none of the three writing instruments?

20. Question : Find the general term of the set.  {2, 4, 6, 8, 10, . . .}

 

ASH MAT 126 Week 1 Written Assignment (Arithmetic and geometric sequence) NEW

ASH MAT 126 Week 1 Written Assignment (Arithmetic and geometric sequence) NEW

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Assignment

Following completion of your readings, complete exercises 35 and 37 in the “Real World Applications” section on page 280 of Mathematics in Our World.

For each exercise, specify whether it involves an arithmetic sequence or a geometric sequence and use the proper formulas where applicable. Format your math work as shown in the Week One Assignment Guide and be concise in your reasoning. Plan the logic necessary to complete the exercise before you begin writing. For an example of the math required for this assignment, please review the Week One Assignment Guide

The assignment must include (a) all math work required to answer the problems as well as (b) introduction and conclusion paragraphs.

• Your introduction should include three to five sentences of general information about the topic at hand.

• The body must contain a restatement of the problems and all math work, including the steps and formulas used to solve the problems.

• Your conclusion must comprise a summary of the problems and the reason you selected a particular method to solve them. It would also be appropriate to include a statement as to what you learned and how you will apply the knowledge gained in this exercise to real-world situations.

The assignment must be formatted according the APA (6th edition) style, which includes a title page and reference page. For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning Resources tab on the left navigation toolbar, in your online course.

ASH MAT 126 Week 2 Assignment Is It Fat Free NEW

ASH MAT 126 Week 2 Assignment  Is It Fat Free NEW

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Following completion of your weekly readings, read “Are You Sure It’s Fat Free?” on page 286 of Mathematics in Our World.

Gather three of your favorite packaged foods; perhaps one from each: breakfast, lunch and dinner. Use the model explained in the “Are You Sure It’s Fat Free?” to analyze, through the mathematical formula explained, the fat content and protein content from your foods. To analyze the protein content use 4 calories per gram of protein, rather than the 9 calories for grams of fat.

The assignment must include (a) all math work required to answer the problems as well as (b) introduction and conclusion paragraphs.

• Your introduction should include three to five sentences of general information about the topic at hand.

• The body must contain a restatement of the problems and all math work, including the steps and formulas used to solve the problems.

• Your conclusion must comprise a summary of the problems and the reason you selected a particular method to solve them. It would also be appropriate to include a statement as to what you learned and how you will apply the knowledge gained in this exercise to real-world situations.

The assignment must be formatted according the APA (6th edition) style, which includes a title page and reference page. For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning Resources tab on the left navigation toolbar, in your online

 

ASH MAT 126 Week 2 DQ 1 NEW

ASH MAT 126 Week 2 DQ 1 NEW

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This Discussion should be an eye opener for most students. We will look at our food shopping trends and how we spend our money. The outcomes should reveal some interesting facts.

1. Save a cash register receipt from a shopping trip to the food market, or borrow one from a family member or friend. The cost of four prepackaged food items that are sold by weight and the cost of at least three fresh fruits, or vegetables need to appear on the receipt. If you have no access to a receipt with these items, then you will need to go to the store and write down the cost information, or find a grocery advertisement online. Do not use liquids such as milk, juice, or soda because these are sold by volume and not by weight. Also, do not include ingredients like flour, sugar, oil, dry beans, etc. because these items are not prepackaged foods.

2. Fruits and vegetables are sold by the pound. Add up your prices per pound for the fruits and vegetables and find the average cost per pound. (Example: If bananas are .79 per pound and apples are .59 per pound, the average is calculated like this: (.79 + .59)/2 = 1.38/2 = .69 per pound on average for the two fruits.)

3. Locate the weight of your prepackaged food items. (For example, on a box of Frosted Flakes it says 15 oz.)

4. Add up all of the weights for your prepackaged items in ounces, and then add up all of the costs for your four prepackaged items.

5. From the totals, find the average cost per ounce of prepackaged items. Convert your results to cost per pound. (Hint: How many ounces in a pound?)

6. Now, compare the cost per pound of unprocessed food compared to prepackaged processed food.  Discuss your comparison. Are you amazed or did you expect these results?

7. Respond to at least two of your classmates’ postings. Do the calculations seem reasonable? Based on the posting you authored and the postings you read, do we seem to be paying for the product, convenience or the packaging?

 

ASH MAT 126 Week 2 DQ 2 NEW

ASH MAT 126 Week 2 DQ 2 NEW

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This Discussion will help us learn to develop our own mathematical models, write down the equations and then solve the equations for unknown values using algebraic methods.

1. Refer back to Week One Discussion and use the names and ages of yourself and the other two people you selected. Make sure one is older than you and one is younger than you.

2. In years, how old was the older person when you were born?

3. Write an equation that models how old in years each of you will be, when your ages add up to 150 years old. For example, if x = your age and the eldest person was a year older than you, you would write their age as x + 1. Then the equation would be: x + (x+1) = 150.

4. Explain the reasoning which helped you develop your equation.

5. Solve for your future ages. Are your answers reasonable, do they add up to 150?

6. In years, how old were you when the youngest person was born?

7. At some point during the lives of you and the youngest person, your age will be three times his/her age at that moment. Write an equation which models how old in years each of you will be when you are three times as old as the younger person.

8. Explain the reasoning which helped you develop your equation.

9. Solve the equation for your ages when you are three times as old as the youngest person. Are your answers reasonable?

10. Respond to at least two of your classmates’ postings. Check their equations and investigate for mathematical errors. Help with a constructive critique.

Your initial post should be at least 150 words in length. Respond to at least two of your classmates’ posts by Day 7.

 

ASH MAT 126 Week 2 Quiz NEW

ASH MAT 126 Week 2 Quiz NEW

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Week 2

1. Question : Multiply. 1B7twelve x 29twelve

2. Question : Find the value of 327 in the mod 7 system.

3. Question : Determine the place value of the digit 8 in the number 3,684,159.

4. Question : Evaluate (3 + 4) + 1 in the mod 5 system.

5. Question : An arithmetic student needs at least a 70% average to receive credit for the course. If she scored 86%, 77%, and 64% on the first three exams, what is the lowest score she can get on the fourth exam to receive credit for the course?

6. Question : Solve the equation. 2x – 4 = -10

7. Question : Convert 1111two to base ten.

8. Question : Three times a number is 10 less than five times the number. Find the number.

9. Question : Find the value of y in the mod 9 system.

5 x y = 4

10. Question : Which property of the real numbers is illustrated by the following statement?

(18 + 3) + 14 = 18 + (3 + 14)

11. Question : Find the LCM of 18, 28, and 48.

12. Question : Write 426 in expanded notation.

13. Question : Convert 11010two to base ten.

14. Question : Solve the inequality: x + 14 < -11

15. Question : Evaluate (2 x 4) x 2 in the mod 5 system.

16. Question : Dorothy is 6 years older than Ricardo. The product of their present ages is twice what the product of their ages was 6 years ago. How old is Dorothy?

17. Question : Write CDIX in the Hindu-Arabic system.

18. Question : Evaluate. 7-3

19. Question : Find the LCM of 4 and 20.

20. Question : Which property of the real numbers is illustrated by the following statement?

-6(17 + 14) = -6(17) + (-6)(14)

ASH MAT 126 Week 3 Assignment Quadratic Equations NEW

ASH MAT 126 Week 3 Assignment Quadratic Equations NEW

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Following completion of your weekly readings, complete the exercises in the “Projects” section on page 397 of Mathematics in Our World.

You should be concise in your reasoning. For Project #1, work only equations (a) and (c), but complete all 6 steps (a-f) as shown in the example.

For Project #2, please select at least five numbers; 0 (zero), two even, and two odd. Make sure you organize your paper into separate projects.

The assignment must include (a) all math work required to answer the problems as well as (b) introduction and conclusion paragraphs.

• Your introduction should include three to five sentences of general information about the topic at hand.

• The body must contain a restatement of the problems and all math work, including the steps and formulas used to solve the problems.

• Your conclusion must comprise a summary of the problems and the reason you selected a particular method to solve them. It would also be appropriate to include a statement as to what you learned and how you will apply the knowledge gained in this exercise to real-world situations.

The assignment must be formatted according the APA (6th edition) style, which includes a title page and reference page. For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning Resources tab on the left navigation toolbar, in your online course.

 

ASH MAT 126 Week 3 DQ 1 NEW

ASH MAT 126 Week 3 DQ 1 NEW

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This Discussion will concentrate on functions and graphs. Understanding the definitions of words is the essence of mathematics. When we understand the meaning of words, finding a solution is much easier because we know what task the problem is asking us to complete.

Part 1

1. In your own words, define the word “function.”

2. Give your own example of a function using a set of at least 4 ordered pairs. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and 5. Your example should not be the same as those of other students or the textbook. There are thousands of possible examples.

3. Explain why your example models a function. This is extremely important for your learning.

4. Give your own example of at least four ordered pairs that does not model a function. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and +5.  Your example should not be the same as those of other students or the textbook. There are thousands of possible examples.

5. Explain why your example does not model a function.

Part 2

1. Select any two integers between -12 and +12 which will become solutions to a system of two equations.

2. Write two equations that have your two integers as solutions. Show how you built the equations using your integers. Your solution and equations should not be the same as those of other students or the textbook. There are infinite possibilities.

3. Solve your system of equations by the addition/subtraction method. Make sure you show the necessary 5 steps. Use the example on page 426 of Mathematics in Our World as a guide.

4. Respond to at least two of your classmates’ postings. Do you agree or disagree that their examples model functions? Follow their 5 steps. Do their calculations follow the correct rules of algebra?

Your initial post should be at least 150 words in length. Respond to at least two of your classmates’ posts by Day 7.

 

ASH MAT 126 Week 3 DQ 2 NEW

ASH MAT 126 Week 3 DQ 2 NEW

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This Discussion tests your ability to use a ruler and convert from Standard English measure to Metrics. You will then apply your knowledge of the geometric measurements of area and volume through real world problems.

1. Choose a room in your house. Measure the length, the width, and the height. Make sure you use feet and inches. Most rooms are not a whole number, such as 10 feet; they are 10 feet and 3 inches, or 9 feet 6 inches, etc.

NOTE: Do not use decimal numbers for the feet. For example, do not write 10.3 to mean 10’3”, because that is incorrect. Convert the measurements to all inches for step 2, and then convert back to square feet for step 3.

2. Record your dimensions and, using the appropriate formula, find the surface area of the room.

3. A gallon of paint covers about 350 square feet. How many gallons would be required to paint the room? Round up to the nearest gallon.

4. If a gallon of paint costs $22.95 plus 8% tax, what would be the total cost to paint the room?

5. One inch is equivalent to 2.54 centimeters. Convert your English measurements to metrics. Record each dimension in centimeters. Show your conversions.

6. Find the volume in cubic centimeters. Be neat and precise.

7. If each dimension (length, width, and height) is doubled, what happens to the volume of the room? Show your work.

8. Respond to at least two of your classmates’ postings. Review their calculations and determine if their results seem reasonable for the size of the room.