Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Chapter 11.5, Problem 34E
Determine the natural of the roots of each
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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 11 Solutions
Elementary Technical Mathematics
Ch. 11.1 - Solve each equation: x2+x=12Ch. 11.1 - Solve each equation: x23x+2=0Ch. 11.1 - Solve each equation: x2+x20=0Ch. 11.1 - Prob. 4ECh. 11.1 - Solve each equation: x22=xCh. 11.1 - Solve each equation: x215x=54Ch. 11.1 - Solve each equation: x21=0Ch. 11.1 - Solve each equation: 16n2=49Ch. 11.1 - Solve each equation: x249=0Ch. 11.1 - Prob. 10E
Ch. 11.1 - Solve each equation: w2+5w+6=0Ch. 11.1 - Solve each equation: x26x=0Ch. 11.1 - Prob. 13ECh. 11.1 - Solve each equation: c2+2=3cCh. 11.1 - Solve each equation: n26n60=0Ch. 11.1 - Solve each equation: x217x+16=0Ch. 11.1 - Solve each equation: 9m=m2Ch. 11.1 - Solve each equation: 6n215n=0Ch. 11.1 - Solve each equation: x2=108+3xCh. 11.1 - Solve each equation: x2x=42Ch. 11.1 - Solve each equation: c2+6c=16Ch. 11.1 - Solve each equation: 4x2+4x3=0Ch. 11.1 - Solve each equation: 10x2+29x+10=0Ch. 11.1 - Solve each equation: 2x2=17x8Ch. 11.1 - Solve each equation: 4x2=25Ch. 11.1 - Solve each equation: 25x=x2Ch. 11.1 - Solve each equation: 9x2+16=24xCh. 11.1 - Solve each equation: 24x2+10=31xCh. 11.1 - Solve each equation: 3x2+9x=0Ch. 11.1 - A rectangle is 5 ft longer than it is wide. (See...Ch. 11.1 - The area of a triangle is 66 m2, and its base is 1...Ch. 11.1 - A rectangle is 9 ft longer than it is wide, and...Ch. 11.1 - A heating duct has a rectangular cross section...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Prob. 4ECh. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Find the value of a, b, and c in each equation:...Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula....Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.2 - Solve each equation using the quadratic formula...Ch. 11.3 - A variable voltage in an electrical circuit is...Ch. 11.3 - A variable electric current is given by i=t27t+12,...Ch. 11.3 - A rectangular piece of sheet metal is 4 ft longer...Ch. 11.3 - A hole in the side of a large metal tank needs to...Ch. 11.3 - The area of the wings of a small Cessna is 175...Ch. 11.3 - The perimeter of a rectangle is 46 cm, and its...Ch. 11.3 - The perimeter of a rectangle is 160 m, and its...Ch. 11.3 - A rectangular field is fenced in by using a river...Ch. 11.3 - The dimensions of a doorway are 3 ft by 7 ft 6 in....Ch. 11.3 - A square, 4 in. on a side, is cut out of each...Ch. 11.3 - A square is cut out of each corner of a...Ch. 11.3 - The area of a rectangular lot 80 m by 100 m is to...Ch. 11.3 - Prob. 13ECh. 11.3 - A border of uniform width is printed on a page...Ch. 11.3 - A company needs to build a ware house with...Ch. 11.3 - A 2000-ft2 storage building 9 ft high is needed to...Ch. 11.3 - A landscaper is laying sod in a rectangular front...Ch. 11.3 - A rectangular forest plot contains 120 acres and...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.4 - Draw the graph of each equation and label each...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Express each number in terms of j (when necessary,...Ch. 11.5 - Simplify: j3Ch. 11.5 - Simplify: j6Ch. 11.5 - Simplify: j13Ch. 11.5 - Simplify: j16Ch. 11.5 - Simplify: j19Ch. 11.5 - Simplify: j31Ch. 11.5 - Simplify: j24Ch. 11.5 - Simplify: j26Ch. 11.5 - Simplify: j38Ch. 11.5 - Simplify: j81Ch. 11.5 - Simplify: 1jCh. 11.5 - Simplify: 1j6Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Determine the natural of the roots of each...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11.5 - Solve each quadratic equation using the quadratic...Ch. 11 - Prob. 1RCh. 11 - Solve for x:3x(x2)=0Ch. 11 - Solve each equation by factoring: x24=0Ch. 11 - Solve each equation by factoring: x2x=6Ch. 11 - Solve each equation by factoring: 5x26x=0Ch. 11 - Solve each equation by factoring: x23x28=0Ch. 11 - Solve each equation by factoring: x214x=45Ch. 11 - Solve each equation by factoring: x2183x=0Ch. 11 - Solve each equation by factoring: 3x2+20x+32=0Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - The area of a piece of plywood is 36 ft2. Its...Ch. 11 - A variable electric current is given by the...Ch. 11 - Draw the graph of each equation and label each...Ch. 11 - Draw the graph of each equation and label each...Ch. 11 - Express each number in terms of j: 36Ch. 11 - Express each number in terms of j: 73Ch. 11 - Simplify: j12Ch. 11 - Simplify: j27Ch. 11 - Determine the nature of the roots of each...Ch. 11 - Determine the nature of the roots of each...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - A solar-heated house has a rectangular heat...Ch. 11 - A rectangular opening is 15 in. wide and 26 in....Ch. 11 - Solve each equation: x2=64Ch. 11 - Solve each equation: x28x=0Ch. 11 - Solve each equation: x2+9x36=0Ch. 11 - Solve each equation: 12x2+4x=1Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Solve each equation using the quadratic formula...Ch. 11 - Prob. 7TCh. 11 - Prob. 8TCh. 11 - Prob. 9TCh. 11 - Prob. 10TCh. 11 - Draw the graph of y=x28x15 and label the vertex.Ch. 11 - Draw the graph of y=2x2+8x+11 and label the...Ch. 11 - Express each number in terms of j: 16Ch. 11 - Express each number in terms of j: 29Ch. 11 - Simplify: j9Ch. 11 - Simplify: j28Ch. 11 - Determine the nature of the roots of 3x2x+4=0...Ch. 11 - One side of a rectangle is 5 cm more that another....
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