USING AND UNDERSTANDING MATHEMATICS W/
7th Edition
ISBN: 9780135239919
Author: BENNETT AND BR
Publisher: PEARSON
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Textbook Question
Chapter 10.B, Problem 56E
Map Distances. Refer to the map in Figure 10.37. Assume that the length of each east-west block is
For the locations given in each exercise, do the following:
- Find the shortest possible walking distance (following the streets) between the two locations.
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Task Description:
Read the following case study and answer the questions that follow.
Ella is a 9-year-old third-grade student in an inclusive classroom. She has been diagnosed with Emotional and Behavioural Disorder (EBD). She has been struggling academically and socially due to
challenges related to self-regulation, impulsivity, and emotional outbursts. Ella's behaviour includes frequent tantrums, defiance toward authority figures, and difficulty forming positive relationships with peers. Despite her challenges, Ella shows an interest in art and creative activities and demonstrates strong verbal skills when calm.
Describe 2 strategies that could be implemented that could help Ella regulate her emotions in class (4 marks)
Explain 2 strategies that could improve Ella’s social skills (4 marks)
Identify 2 accommodations that could be implemented to support Ella academic progress and provide a rationale for your recommendation.(6 marks)
Provide a detailed explanation of 2 ways…
1. Iodine-131 is tone of the most commonly used radioactive isotopes of iodine. It is used to treat hyper-
thyroidism and some kinds of thyroid cancer.
(a) Iodine-131 has a half-life of about 8 days. Find an expression for I(t), the mass of Iodine-131
remaining after t days, in terms of t and Io, the initial mass of Iodine-131 present at time t = 0.
(b) If a dose of 0.9 mg of Iodine-131 is administered, how much is still present after 24 hours?
(c) How much Iodine-131 is present after one week? Does your answer make sense?
Question 2: When John started his first job, his first end-of-year salary was $82,500. In the following years, he received salary raises as shown in the following table.
Fill the Table: Fill the following table showing his end-of-year salary for each year. I have already provided the end-of-year salaries for the first three years. Calculate the end-of-year salaries for the remaining years using Excel. (If you Excel answer for the top 3 cells is not the same as the one in the following table, your formula / approach is incorrect) (2 points)
Geometric Mean of Salary Raises: Calculate the geometric mean of the salary raises using the percentage figures provided in the second column named “% Raise”. (The geometric mean for this calculation should be nearly identical to the arithmetic mean. If your answer deviates significantly from the mean, it's likely incorrect. 2 points)
Starting salary
% Raise
Raise
Salary after raise
75000
10%
7500
82500
82500
4%
3300…
Chapter 10 Solutions
USING AND UNDERSTANDING MATHEMATICS W/
Ch. 10.A - Prob. 1QQCh. 10.A - Prob. 2QQCh. 10.A - An acute angle is a. less than 90°. b. exactly...Ch. 10.A - 4. A regular polygon always has
a. four sides. b....Ch. 10.A - 5. A right triangle always has
three equal-length...Ch. 10.A - 6. The circumference of a circle of radius r...Ch. 10.A - The volume of a sphere of radius r is a. \[\pi...Ch. 10.A - Prob. 8QQCh. 10.A - If you triple the radius of a sphere, the volume...Ch. 10.A - Suppose you cut a large stone block into four...
Ch. 10.A - What do we mean by Euclidean geometry?Ch. 10.A - Prob. 2ECh. 10.A - What do we mean by dimension? How is dimension...Ch. 10.A - Prob. 4ECh. 10.A - What is plane geometry? What does it mean for...Ch. 10.A - 6. What is a polygon? How do we measure the...Ch. 10.A - What are the formulas for the circumference and...Ch. 10.A - 8. Describe how we calculate the volumes and...Ch. 10.A - What are the scaling laws for area and volume?...Ch. 10.A - Prob. 10ECh. 10.A - Prob. 11ECh. 10.A - Prob. 12ECh. 10.A - My bedroom is a rectangular prism that measures 12...Ch. 10.A - walked around the circular pond to a point on the...Ch. 10.A - Prob. 15ECh. 10.A - 16. By building a fence across my rectangular...Ch. 10.A - Prob. 17ECh. 10.A - Prob. 18ECh. 10.A - Angles and Circles. Find the degree measure of the...Ch. 10.A - 17-22: Angles and Circles. Find the degree measure...Ch. 10.A - 17-22: Angles and Circles. Find the degree measure...Ch. 10.A - 17-22: Angles and Circles. Find the degree measure...Ch. 10.A - Prob. 23ECh. 10.A - Prob. 24ECh. 10.A - Prob. 25ECh. 10.A - Prob. 26ECh. 10.A - Prob. 27ECh. 10.A - Prob. 28ECh. 10.A - Prob. 29ECh. 10.A - Prob. 30ECh. 10.A - Circle Practice. Find the circumference and area...Ch. 10.A - Prob. 32ECh. 10.A - Circle Practice. Find the circumference and area...Ch. 10.A - 31-36: Circle Practice. Find the circumference and...Ch. 10.A - Circle Practice. Find the circumference and area...Ch. 10.A - Prob. 36ECh. 10.A - Prob. 37ECh. 10.A - Prob. 38ECh. 10.A - Perimeters and Areas. Use Table 10.2 to find the...Ch. 10.A - Prob. 40ECh. 10.A - Prob. 41ECh. 10.A - Prob. 42ECh. 10.A - Triangle Geometry. Find the perimeter and area of...Ch. 10.A - Prob. 44ECh. 10.A - 43-46: Triangle Geometry. Find the perimeter and...Ch. 10.A - 43-46: Triangle Geometry. Find the perimeter and...Ch. 10.A - Window Space. A picture window has a length of 8...Ch. 10.A - A Running Track. A running track has straight legs...Ch. 10.A - Building Stairs. Refer to Figure 10.14, showing...Ch. 10.A - No Calculation Required. The end views of two...Ch. 10.A - Parking Lot. A parking lot is shaped like a...Ch. 10.A - Prob. 52ECh. 10.A - Prob. 53ECh. 10.A - 53-57: Three-Dimensional Objects. Use the formulas...Ch. 10.A - Three-Dimensional Objects. Use the formulas in...Ch. 10.A - Prob. 56ECh. 10.A - Prob. 57ECh. 10.A - 58. Water Canal. A water canal has a rectangular...Ch. 10.A - 59. Water Reservoir. The water reservoir for a...Ch. 10.A - 60. Oil Drums. Which holds more: an oil drum with...Ch. 10.A - Tree Volumes. Is there more wood in a 40-foot-high...Ch. 10.A - Architectural Model. Suppose you build an...Ch. 10.A - Architectural Model: Suppose you build an...Ch. 10.A - Prob. 64ECh. 10.A - Architectural Model: Suppose you build an...Ch. 10.A - Prob. 66ECh. 10.A - Architectural Model: Suppose you build an...Ch. 10.A - Prob. 68ECh. 10.A - Quadrupling Your Size. Suppose you magically...Ch. 10.A - Quadrupling Your Size. Suppose you magically...Ch. 10.A - Quadrupling Your Size. Suppose you magically...Ch. 10.A - 72-74: Comparing People. Consider a person named...Ch. 10.A - 72-74: Comparing People. Consider a person named...Ch. 10.A - Prob. 74ECh. 10.A - Squirrels or People? Squirrels and humans are both...Ch. 10.A - 75-76: Squirrels or People? Squirrels and humans...Ch. 10.A - Prob. 77ECh. 10.A - Prob. 78ECh. 10.A - Comparing Balls. Consider a softball with a radius...Ch. 10.A - Prob. 80ECh. 10.A - Dimension. Examine a closed book. How many...Ch. 10.A - Perpendicular and Parallel. Suppose you mark a...Ch. 10.A - Perpendicular and Parallel. Suppose you draw two...Ch. 10.A - Backyard. Figure 10.25 shows the layout of a...Ch. 10.A - Human Lung. The human lung has approximately 300...Ch. 10.A - 86. Automobile Engine Capacity. The size of a car...Ch. 10.A - 87. The Chunnel. The English Channel Tunnel, or...Ch. 10.A - Prob. 88ECh. 10.A - Prob. 89ECh. 10.A - Prob. 90ECh. 10.A - The Geometry of Ancient Cultures. Research the use...Ch. 10.A - Surveying and GIS. Surveying is one of the oldest...Ch. 10.A - Platonic Solids. Why are there five and only five...Ch. 10.B - The number of minutes of are in a full circle is...Ch. 10.B - Prob. 2QQCh. 10.B - If you travel due east, you are traveling along a...Ch. 10.B - 4. If you are located at latitude 30°S and...Ch. 10.B - What would be different about the Sun if you...Ch. 10.B - Prob. 6QQCh. 10.B - If you are bicycling eastward up a hill with a 10%...Ch. 10.B - Prob. 8QQCh. 10.B - Prob. 9QQCh. 10.B - Prob. 10QQCh. 10.B - How do we describe fractions of a degree of angle?Ch. 10.B - Prob. 2ECh. 10.B - How is angular size related to physical size?Ch. 10.B - Prob. 4ECh. 10.B - Give at least two examples of ways in which the...Ch. 10.B - Prob. 6ECh. 10.B - Give an example of a practical problem that can be...Ch. 10.B - 8. What is an optimization problem? Give an...Ch. 10.B - 9. In December, it is winter at 70oW and 44oS.
Ch. 10.B - Prob. 10ECh. 10.B - Prob. 11ECh. 10.B - Prob. 12ECh. 10.B - Prob. 13ECh. 10.B - Prob. 14ECh. 10.B - Angle Conversions I. Convert the given degree...Ch. 10.B - 15-20: Angle Conversions I. Convert the given...Ch. 10.B - Prob. 17ECh. 10.B - Prob. 18ECh. 10.B - Prob. 19ECh. 10.B - Angle Conversions I. Convert the given degree...Ch. 10.B - 21-26: Angle Conversions II. Convert the given...Ch. 10.B - 21-26: Angle Conversions II. Convert the given...Ch. 10.B - Prob. 23ECh. 10.B - Prob. 24ECh. 10.B - Angle Conversions II. Convert the given angle...Ch. 10.B - Prob. 26ECh. 10.B - Prob. 27ECh. 10.B - Prob. 28ECh. 10.B - Prob. 29ECh. 10.B - Prob. 30ECh. 10.B - Prob. 31ECh. 10.B - Prob. 32ECh. 10.B - Prob. 33ECh. 10.B - Prob. 34ECh. 10.B - Prob. 35ECh. 10.B - Prob. 36ECh. 10.B - Angular Size. Use the formula relating angular...Ch. 10.B - Angular Size. Use the formula relating angular...Ch. 10.B - Angular Size. Use the formula relating angular...Ch. 10.B - Prob. 40ECh. 10.B - Prob. 41ECh. 10.B - Prob. 42ECh. 10.B - Prob. 43ECh. 10.B - Prob. 44ECh. 10.B - Prob. 45ECh. 10.B - 46. Grade of a Road. How much does a road with a...Ch. 10.B - 47. Pitch of a Roof. What is the angle (relative...Ch. 10.B - Grade of a Path. What is the approximate grade...Ch. 10.B - Prob. 49ECh. 10.B - Grade of a Trail. How much does a trail with a 22%...Ch. 10.B - Map Distances. Refer to the map in Figure 10.37....Ch. 10.B - Prob. 52ECh. 10.B - Prob. 53ECh. 10.B - Prob. 54ECh. 10.B - Prob. 55ECh. 10.B - Map Distances. Refer to the map in Figure 10.37....Ch. 10.B - Prob. 57ECh. 10.B - Prob. 58ECh. 10.B - 57-60: Acreage Problems. Refer to Figure 10.31,...Ch. 10.B - Acreage Problems. Refer to Figure 10.31, but use...Ch. 10.B - 61-64: Determining Similarity. Determine which...Ch. 10.B - Prob. 62ECh. 10.B - Prob. 63ECh. 10.B - Prob. 64ECh. 10.B - Prob. 65ECh. 10.B - Analyzing Similar Triangles. Determine the lengths...Ch. 10.B - Analyzing Similar Triangles. Determine the lengths...Ch. 10.B - Prob. 68ECh. 10.B - Solar Access. Assume that the policy given In...Ch. 10.B - Solar Access. Assume that the policy given In...Ch. 10.B - Solar Access. Assume that the policy given in...Ch. 10.B - Solar Access. Assume that the policy given in...Ch. 10.B - Prob. 73ECh. 10.B - Prob. 74ECh. 10.B - Prob. 75ECh. 10.B - Prob. 76ECh. 10.B - Prob. 77ECh. 10.B - Designing Plastic Buckets. A company manufactures...Ch. 10.B - Designing Cardboard Boxes. Suppose you are...Ch. 10.B - Designing Steel Safes. A large steel sale with a...Ch. 10.B - Blu-ray Geometry. The capacity of a single-sided,...Ch. 10.B - Prob. 82ECh. 10.B - Prob. 83ECh. 10.B - Prob. 84ECh. 10.B - Prob. 85ECh. 10.B - Prob. 86ECh. 10.B - Prob. 87ECh. 10.B - Filling a Pool. A spherical water tank has a...Ch. 10.B - Prob. 89ECh. 10.B - Prob. 90ECh. 10.B - Prob. 91ECh. 10.B - 92. Estimating Heights. In trying in estimate the...Ch. 10.B - 93. Soda Can Design. Standard soft drink cans hold...Ch. 10.B - 94. Melting Ice. A glaciers surface is...Ch. 10.B - Prob. 95ECh. 10.B - Prob. 96ECh. 10.B - Prob. 97ECh. 10.B - Prob. 98ECh. 10.B - Prob. 99ECh. 10.B - Prob. 100ECh. 10.C - Fractal geometry is useful because it is the only...Ch. 10.C - Prob. 2QQCh. 10.C - Prob. 3QQCh. 10.C - Which of the following is a general characteristic...Ch. 10.C - How do fractal dimensions differ from in Euclidean...Ch. 10.C - 6. An island coastline has a fractal dimension...Ch. 10.C - Prob. 7QQCh. 10.C - Prob. 8QQCh. 10.C - Prob. 9QQCh. 10.C - Prob. 10QQCh. 10.C - Prob. 1ECh. 10.C - Prob. 2ECh. 10.C - Explain the meaning of the factors R and N used in...Ch. 10.C - What is the snowflake curve? Explain why we cannot...Ch. 10.C - Prob. 5ECh. 10.C - Prob. 6ECh. 10.C - Briefly describe what we mean by the process of...Ch. 10.C - 8. What is random iteration? Why do objects...Ch. 10.C - 9. I can use a yardstick to find the area of my...Ch. 10.C - I can use a yardstick to measure the length of the...Ch. 10.C - The area of the snowflake island is given by its...Ch. 10.C - Prob. 12ECh. 10.C - The edge of this leaf has a fractal dimension of...Ch. 10.C - This entire leaf, riddled with holes, has a...Ch. 10.C - Prob. 15ECh. 10.C - Prob. 16ECh. 10.C - Prob. 17ECh. 10.C - Prob. 18ECh. 10.C - Prob. 19ECh. 10.C - Prob. 20ECh. 10.C - 15-26: Ordinary and Fractal Dimensions. Find the...Ch. 10.C - 15-26: Ordinary and Fractal Dimensions. Find the...Ch. 10.C - 15-26: Ordinary and Fractal Dimensions. Find the...Ch. 10.C - Prob. 24ECh. 10.C - Prob. 25ECh. 10.C - Prob. 26ECh. 10.C - Prob. 27ECh. 10.C - Prob. 28ECh. 10.C - Prob. 29ECh. 10.C - Prob. 30ECh. 10.C - Prob. 31ECh. 10.C - Prob. 32ECh. 10.C - Prob. 33ECh. 10.C - Fractal Research. Locate at least two websites...Ch. 10.C - 35. Fractal Art. Visit a website that features...
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