Mathematical Ideas (13th Edition) - Standalone book
13th Edition
ISBN: 9780321977076
Author: Charles D. Miller, Vern E. Heeren, John Hornsby, Christopher Heeren
Publisher: PEARSON
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Chapter 8.6, Problem 60E
To determine
To calculate: The time taken by iodine-131 to decay to 25% of its initial amount.
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If the height of the solid in Diagrams 2 and 3 is the height of the original pyramid, the radius of
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exact volume of the solid in Diagram 3, measured in cubic meters. Show all work.
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Chapter 8 Solutions
Mathematical Ideas (13th Edition) - Standalone book
Ch. 8.1 - Fill in each blank with the correct response.
1....Ch. 8.1 - Fill in each blank with the correct response. For...Ch. 8.1 - Prob. 3ECh. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Locate the following points on the rectangular...Ch. 8.1 - Locate the following points on the rectangular...Ch. 8.1 - Prob. 9ECh. 8.1 - Locate the following points on the rectangular...
Ch. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Locate the following points on the rectangular...Ch. 8.1 - Locate the following points on the rectangular...Ch. 8.1 - Locate the following points on the rectangular...Ch. 8.1 - Find each of the following. (a) the distance...Ch. 8.1 - Find each of the following. (a) the distance...Ch. 8.1 - 19.
Ch. 8.1 - (1,5)and(6,3)Ch. 8.1 - (3,7)and(2,-4)Ch. 8.1 - (0,5)and(-3,12)Ch. 8.1 - Find each of the following. (a) the distance...Ch. 8.1 - Find each of the following. (a) the distance...Ch. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - (0,4);r=3Ch. 8.1 - 34.
Ch. 8.1 - Prob. 35ECh. 8.1 - 36. Determine whether the slope of the given line...Ch. 8.1 - Prob. 37ECh. 8.1 - Prob. 38ECh. 8.1 - Prob. 39ECh. 8.1 - Prob. 40ECh. 8.1 - Prob. 41ECh. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - Prob. 45ECh. 8.1 - Prob. 46ECh. 8.1 - Prob. 47ECh. 8.1 - Prob. 48ECh. 8.1 - (49). Bachelor's Degree Attainment The graph shows...Ch. 8.1 - Temporary Assistance for Needy Families (TANF) The...Ch. 8.1 - 51. Poverty-Level Income Cutoffs The table lists...Ch. 8.1 - Public College Enrollment Enrollments in public...Ch. 8.1 - Prob. 53ECh. 8.1 - Prob. 54ECh. 8.1 - Prob. 55ECh. 8.1 - Prob. 56ECh. 8.2 - Complete the given ordered pairs or table for each...Ch. 8.2 - Complete the given ordered pairs or table for each...Ch. 8.2 - Complete the given ordered pairs or table for each...Ch. 8.2 - Complete the given ordered pairs or table for each...Ch. 8.2 - Complete the given ordered pairs or table for each...Ch. 8.2 - Complete the given ordered pairs or table for each...Ch. 8.2 - Complete the given ordered pairs or table for each...Ch. 8.2 - Complete the given ordered pairs or table for each...Ch. 8.2 - For each equation, give the x-intercept and the...Ch. 8.2 - For each equation, give the x-intercept and the y...Ch. 8.2 - For each equation, give the x-intercept and the...Ch. 8.2 - For each equation, give the x-intercept and the...Ch. 8.2 - For each equation, give the x-intercept and the...Ch. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - For each equation, give the x-intercept and the...Ch. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - For each equation, give the x-intercept and...Ch. 8.2 - Prob. 21ECh. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - For each equation, give the x-intercept and...Ch. 8.2 - In Exercises 25-32, match the equation with the...Ch. 8.2 - In Exercises 25-32, match the equation with the...Ch. 8.2 - In Exercises 25-32, match the equation with the...Ch. 8.2 - In Exercises 25-32, match the equation with the...Ch. 8.2 - In Exercises 25-32, match the equation with the...Ch. 8.2 - In Exercises 25-32, match the equation with the...Ch. 8.2 - In Exercises 25-32, match the equation with the...Ch. 8.2 - In Exercises 25-32, match the equation with the...Ch. 8.2 - What is the slope (or pitch) of this roof?Ch. 8.2 - What is the slope (or grade) of this hill?Ch. 8.2 - Use the coordinates of the indicated points to...Ch. 8.2 - 36. Determine whether the slope of the given line...Ch. 8.2 - Find the slope of the line through each pair of...Ch. 8.2 - Find the slope of the line through each pair of...Ch. 8.2 - Find the slope of the line through each pair of...Ch. 8.2 - Find the slope of the line through each pair of...Ch. 8.2 - Find the slope of the line through each pair of...Ch. 8.2 - Find the slope of the line through each pair of...Ch. 8.2 - Find the slope of the line through each pair of...Ch. 8.2 - Find the slope of the line through each pair of...Ch. 8.2 - Graph each line with the given slope and passing...Ch. 8.2 - Graph each line with the given slope and passing...Ch. 8.2 - Graph each line with the given slope and passing...Ch. 8.2 - Graph each line with the given slope and passing...Ch. 8.2 - Prob. 49ECh. 8.2 - Graph each line with the given slope and passing...Ch. 8.2 - Graph each line with the given slope and passing...Ch. 8.2 - Graph each line with the given slope and passing...Ch. 8.2 - Graph each line with the given slope and passing...Ch. 8.2 - Graph each line with the given slope and passing...Ch. 8.2 - Determine whether the lines described are...Ch. 8.2 - Determine whether the lines described are...Ch. 8.2 - Determine whether the lines described are...Ch. 8.2 - Determine whether the lines described are...Ch. 8.2 - Prob. 59ECh. 8.2 - Determine whether the lines described are...Ch. 8.2 - Steepness of an Upper Deck The upper deck at U.S....Ch. 8.2 - Grade (Slope) of a Ramp When designing the TD...Ch. 8.2 - Rate of Change Find and interpret the average rate...Ch. 8.2 - Rate of Change Find and interpret the average rate...Ch. 8.2 - Prob. 65ECh. 8.2 - Business Majors The graph gives the percent of...Ch. 8.2 - Prob. 67ECh. 8.2 - Wireless-Only Households The graph shows the...Ch. 8.2 - Prob. 69ECh. 8.2 - Prob. 70ECh. 8.2 - Prob. 71ECh. 8.2 - 72. Movie Ticket Prices The average price of a...Ch. 8.3 - Match each equation in Group I with the correct...Ch. 8.3 - March each equation in Group I with the correct...Ch. 8.3 - Match each equation in Group I with the correct...Ch. 8.3 - Match each equation in Group I with the correct...Ch. 8.3 - In Exercises 5-12, match each equation with the...Ch. 8.3 - In Exercises 5-12, match each equation with the...Ch. 8.3 - In Exercises 5-12, match each equation with the...Ch. 8.3 - In Exercises 5-12, match each equation with the...Ch. 8.3 - In Exercises 5-12, match each equation with the...Ch. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - In Exercises 5-12, match each equation with the...Ch. 8.3 - Use the geometric interpretation of slope (rise...Ch. 8.3 - Prob. 14ECh. 8.3 - Use the geometric interpretation of slope (rise...Ch. 8.3 - Use the geometric interpretation of slope (rise...Ch. 8.3 - Write the slope-intercept form of the equation of...Ch. 8.3 - Write the slope-intercept form of the equation of...Ch. 8.3 - Write the slope-intercept form of the equation of...Ch. 8.3 - Write the slope-intercept form of the equation of...Ch. 8.3 - Prob. 21ECh. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Write the slope-intercept form of the equation of...Ch. 8.3 - Write an equation for a line that satisfies the...Ch. 8.3 - Write an equation for a line that satisfies the...Ch. 8.3 - Write an equation for a line that satisfies the...Ch. 8.3 - Write an equation for a line that satisfies the...Ch. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Write an equation for a line that satisfies the...Ch. 8.3 - Write the equation, in slope-intercept form if...Ch. 8.3 - Write the equation, in slope-intercept form if...Ch. 8.3 - Write the equation, in slope-intercept form if...Ch. 8.3 - Write the equation, in slope-intercept form if...Ch. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Write the equation, in slope-intercept form if...Ch. 8.3 - Write the equation, in slope-intercept form if...Ch. 8.3 - Prob. 41ECh. 8.3 - Write the equation, in slope-intercept form if...Ch. 8.3 - Find the equation, in slope-intercept form, of the...Ch. 8.3 - Find the equation, in slope-intercept form, of the...Ch. 8.3 - Find the equation, in slope-intercept form, of the...Ch. 8.3 - Find the equation, in slope-intercept form, of the...Ch. 8.3 - Prob. 47ECh. 8.3 - Find the equation, in slope-intercept form, of the...Ch. 8.3 - For each equation (a) write in slope-intercept...Ch. 8.3 - Prob. 50ECh. 8.3 - Prob. 51ECh. 8.3 - For each equation (a) write in slope-intercept...Ch. 8.3 - Prob. 53ECh. 8.3 - Prob. 54ECh. 8.3 - Prob. 55ECh. 8.3 - Write the equation, in slope-intercept form, of...Ch. 8.3 - Write the equation, in slope-intercept form, of...Ch. 8.3 - Write the equation, in slope-intercept form, of...Ch. 8.3 - Write the equation, in slope-intercept form, of...Ch. 8.3 - Write the equation, in slope-intercept form, of...Ch. 8.3 - Prob. 61ECh. 8.3 - Prob. 62ECh. 8.3 - Prob. 63ECh. 8.3 - Prob. 64ECh. 8.3 - Prob. 65ECh. 8.3 - Prob. 66ECh. 8.4 - Choose from the following list of responses for...Ch. 8.4 - Choose from the following list of responses for...Ch. 8.4 - Choose from the following list of responses for...Ch. 8.4 - Choose from the following list of responses for...Ch. 8.4 - Choose from the following list of responses for...Ch. 8.4 - Choose from the following list of responses for...Ch. 8.4 - Let f(x)=2x+3 and g(x)=x22 find each function...Ch. 8.4 - Prob. 8ECh. 8.4 - Let f(x)=2x+3 and g(x)=x22 find each function...Ch. 8.4 - Let and find each function value.
10. g (0)
Ch. 8.4 - Prob. 11ECh. 8.4 - Let f(x)=2x+3 and g(x)=x22 find each function...Ch. 8.4 - Let f and find each function value.
13.
Ch. 8.4 - Let and find each function value.
14.
Ch. 8.4 - Prob. 15ECh. 8.4 - Let f(x)=2x+3 and g(x)=x22 find each function...Ch. 8.4 - Prob. 17ECh. 8.4 - Let f (x)=2x+3 and g(x)=x22. find each function...Ch. 8.4 - Sketch the graph of each linear function. Give the...Ch. 8.4 - Sketch the graph of each linear function. Give the...Ch. 8.4 - Sketch the graph of each linear function. Give the...Ch. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - Find the value of x for which f(x) = 10. f(x)=3x2Ch. 8.4 - Find the value of x for which f(x) = 10.
28.
Ch. 8.4 - Find the value of x for which .
29.
Ch. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 8.4 - Cost and Revenue Models In Exercises 31-34, do the...Ch. 8.4 - Cost and Revenue Models In Exercises 31-34, do the...Ch. 8.4 - Prob. 34ECh. 8.4 - 35. Tuition Costs Average annual tuition and fees...Ch. 8.4 - 36. Tuition Costs Average annual tuition and fees...Ch. 8.4 - High School Graduates The percentage of the U.S....Ch. 8.4 - Nuclear Waste The table gives the heavy metal...Ch. 8.4 - Prob. 39ECh. 8.4 - Forensic Studies Forensic scientists use the...Ch. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Speeding Fines Speeding fines are determined by...Ch. 8.4 - 44. Expansion and Contraction of Gases In 1787,...Ch. 8.5 - In Exercises 1-6, match each equation with the...Ch. 8.5 - In Exercises 1-6, match each equation with the...Ch. 8.5 - In Exercises 1-6, match each equation with the...Ch. 8.5 - Prob. 4ECh. 8.5 - In Exercises 1-6, match each equation with the...Ch. 8.5 - Prob. 6ECh. 8.5 - Identify the vertex of the graph of each quadratic...Ch. 8.5 - Identify the vertex of the graph of each quadratic...Ch. 8.5 - Identify the vertex of the graph of each quadratic...Ch. 8.5 - Prob. 10ECh. 8.5 - Prob. 11ECh. 8.5 - Identify the vertex of the graph of each quadratic...Ch. 8.5 - Identify the vertex of the graph of each quadratic...Ch. 8.5 - Prob. 14ECh. 8.5 - For each quadratic function, tell whether the...Ch. 8.5 - For each quadratic function, tell whether the...Ch. 8.5 - For each quadratic function, tell whether the...Ch. 8.5 - Prob. 18ECh. 8.5 - Sketch the graph of each quadratic function using...Ch. 8.5 - Sketch the graph of each quadratic function using...Ch. 8.5 - Prob. 21ECh. 8.5 - Prob. 22ECh. 8.5 - Prob. 23ECh. 8.5 - Sketch the graph of each quadratic function using...Ch. 8.5 - Sketch the graph of each quadratic function using...Ch. 8.5 - Sketch the graph of each quadratic function using...Ch. 8.5 - Prob. 27ECh. 8.5 - Sketch the graph of each quadratic function using...Ch. 8.5 - Prob. 29ECh. 8.5 - Prob. 30ECh. 8.5 - Prob. 31ECh. 8.5 - Sketch the graph of each quadratic function using...Ch. 8.5 - Sketch the graph of each quadratic function using...Ch. 8.5 - Sketch the graph of each quadratic function using...Ch. 8.5 - Sketch the graph of each quadratic function....Ch. 8.5 - Sketch the graph of each quadratic function....Ch. 8.5 - Prob. 37ECh. 8.5 - Sketch the graph of each quadratic function....Ch. 8.5 - Prob. 39ECh. 8.5 - Sketch the graph of each quadratic function....Ch. 8.5 - Prob. 41ECh. 8.5 - Dimensions of a Parking Lot Morgan's Department...Ch. 8.5 - Prob. 43ECh. 8.5 - 44. Height of a Projected Object A projectile on...Ch. 8.5 - Prob. 45ECh. 8.5 - Height of a Projected Object A space robot is...Ch. 8.5 - Prob. 47ECh. 8.5 - Prob. 48ECh. 8.6 - To the student: The number of digits shown for...Ch. 8.6 - To the student: The number of digits shown for...Ch. 8.6 - To the student: The number of digits shown for...Ch. 8.6 - To the student: The number of digits shown for...Ch. 8.6 - To the student: The number of digits shown for...Ch. 8.6 - To the student: The number of digits shown for...Ch. 8.6 - To the student: The number of digits shown for...Ch. 8.6 - To the student: The number of digits shown for...Ch. 8.6 - Prob. 9ECh. 8.6 - Prob. 10ECh. 8.6 - Prob. 11ECh. 8.6 - Prob. 12ECh. 8.6 - Prob. 13ECh. 8.6 - Prob. 14ECh. 8.6 - Use a calculator to find an approximation for each...Ch. 8.6 - Prob. 16ECh. 8.6 - Prob. 17ECh. 8.6 - Prob. 18ECh. 8.6 - Prob. 19ECh. 8.6 - Prob. 20ECh. 8.6 - Prob. 21ECh. 8.6 - Prob. 22ECh. 8.6 - Prob. 23ECh. 8.6 - Prob. 24ECh. 8.6 - Prob. 25ECh. 8.6 - In Exercises 25-28, rewrite the exponential...Ch. 8.6 - Prob. 27ECh. 8.6 - In Exercises 25-28, rewrite the exponential...Ch. 8.6 - Prob. 29ECh. 8.6 - Prob. 30ECh. 8.6 - Prob. 31ECh. 8.6 - Prob. 32ECh. 8.6 - Prob. 33ECh. 8.6 - Prob. 34ECh. 8.6 - Prob. 35ECh. 8.6 - Prob. 36ECh. 8.6 - Prob. 37ECh. 8.6 - Prob. 38ECh. 8.6 - Prob. 39ECh. 8.6 - Prob. 40ECh. 8.6 - Prob. 41ECh. 8.6 - Prob. 42ECh. 8.6 - Prob. 43ECh. 8.6 - Prob. 44ECh. 8.6 - Prob. 45ECh. 8.6 - Prob. 46ECh. 8.6 - Prob. 47ECh. 8.6 - 48. Growth of an Account If Ronnie (see Exercise...Ch. 8.6 - Prob. 49ECh. 8.6 - Prob. 50ECh. 8.6 - Prob. 51ECh. 8.6 - Prob. 52ECh. 8.6 - Prob. 53ECh. 8.6 - Prob. 54ECh. 8.6 - 55. Carbon-14 Dating Suppose an Egyptian mummy is...Ch. 8.6 - Prob. 56ECh. 8.6 - Prob. 57ECh. 8.6 - Prob. 58ECh. 8.6 - 59. Decay of Radium Find the half-life of...Ch. 8.6 - Prob. 60ECh. 8.6 - Prob. 61ECh. 8.6 - Prob. 62ECh. 8.6 - Prob. 63ECh. 8.6 - Prob. 64ECh. 8.6 - Prob. 65ECh. 8.6 - Prob. 66ECh. 8.7 - Fill in the blanks with the correct responses.
1....Ch. 8.7 - Prob. 2ECh. 8.7 - Prob. 3ECh. 8.7 - Which ordered pair could possibly be a solution of...Ch. 8.7 - Prob. 5ECh. 8.7 - Prob. 6ECh. 8.7 - Prob. 7ECh. 8.7 - Decide whether the ordered pair is a solution of...Ch. 8.7 - Prob. 9ECh. 8.7 - Prob. 10ECh. 8.7 - Prob. 11ECh. 8.7 - Match each system in Exercises 9-12 with the...Ch. 8.7 - Prob. 13ECh. 8.7 - Prob. 14ECh. 8.7 - Prob. 15ECh. 8.7 - Solve each system by elimination. 2x+3y=14x+y=3Ch. 8.7 - Prob. 17ECh. 8.7 - Prob. 18ECh. 8.7 - Prob. 19ECh. 8.7 - Solve each system by elimination. 8x+4y=04x2y=2Ch. 8.7 - Prob. 21ECh. 8.7 - Prob. 22ECh. 8.7 - Prob. 23ECh. 8.7 - Solve each system by elimination.
24.
Ch. 8.7 - Prob. 25ECh. 8.7 - Solve each system by elimination.
26.
Ch. 8.7 - Prob. 27ECh. 8.7 - Solve each system by substitution.
28.
Ch. 8.7 - Prob. 29ECh. 8.7 - Prob. 30ECh. 8.7 - Prob. 31ECh. 8.7 - Solve each system by substitution. 3x+5y=174x=y8Ch. 8.7 - Prob. 33ECh. 8.7 - Prob. 34ECh. 8.7 - Prob. 35ECh. 8.7 - Solve each system by substitution.
36.
Ch. 8.7 - Prob. 37ECh. 8.7 - Prob. 38ECh. 8.7 - Prob. 39ECh. 8.7 - Outdoor Recreation Use the graph given at the...Ch. 8.7 - Outdoor Recreation Use the graph given at the...Ch. 8.7 - Prob. 42ECh. 8.7 - Prob. 43ECh. 8.7 - AIDS and Race The graph in the next column shows a...Ch. 8.7 - Prob. 45ECh. 8.7 - Prob. 46ECh. 8.8 - Prob. 1ECh. 8.8 - Prob. 2ECh. 8.8 - Prob. 3ECh. 8.8 - Prob. 4ECh. 8.8 - Prob. 5ECh. 8.8 - Prob. 6ECh. 8.8 - Prob. 7ECh. 8.8 - Prob. 8ECh. 8.8 - Prob. 9ECh. 8.8 - Prob. 10ECh. 8.8 - Prob. 11ECh. 8.8 - 12. Top-Grossing Concerts Two other top-grossing...Ch. 8.8 - Prob. 13ECh. 8.8 - 14. Disc Prices In 2012, the movie Hugo was...Ch. 8.8 - Prob. 15ECh. 8.8 - Prob. 16ECh. 8.8 - Prob. 17ECh. 8.8 - Fan Cost Index The Fan Cost Index (FCI) represents...Ch. 8.8 - Prob. 19ECh. 8.8 - Prob. 20ECh. 8.8 - Prob. 21ECh. 8.8 - Prob. 22ECh. 8.8 - Prob. 23ECh. 8.8 - Prob. 24ECh. 8.8 - Prob. 25ECh. 8.8 - Prob. 26ECh. 8.8 - Prob. 27ECh. 8.8 - Prob. 28ECh. 8.8 - Prob. 29ECh. 8.8 - Prob. 30ECh. 8.8 - Prob. 31ECh. 8.8 - Prob. 32ECh. 8.8 - Prob. 33ECh. 8.8 - Formulas The formula d=rt(distance=rattime) is...Ch. 8.8 - Prob. 35ECh. 8.8 - Formulas The formula d=rt(distance=rattime) is...Ch. 8.8 - Prob. 37ECh. 8.8 - Prob. 38ECh. 8.9 - Prob. 1ECh. 8.9 - Prob. 2ECh. 8.9 - Prob. 3ECh. 8.9 - Prob. 4ECh. 8.9 - Prob. 5ECh. 8.9 - Prob. 6ECh. 8.9 - Prob. 7ECh. 8.9 - Prob. 8ECh. 8.9 - Prob. 9ECh. 8.9 - Prob. 10ECh. 8.9 - Prob. 11ECh. 8.9 - Prob. 12ECh. 8.9 - Prob. 13ECh. 8.9 - Prob. 14ECh. 8.9 - Prob. 15ECh. 8.9 - Prob. 16ECh. 8.9 - Prob. 17ECh. 8.9 - Prob. 18ECh. 8.9 - Prob. 19ECh. 8.9 - Prob. 20ECh. 8.9 - Prob. 21ECh. 8.9 - Prob. 22ECh. 8.9 - Prob. 23ECh. 8.9 - Prob. 24ECh. 8.9 - Prob. 25ECh. 8.9 - Prob. 26ECh. 8.9 - Prob. 27ECh. 8.9 - Prob. 28ECh. 8.9 - Prob. 29ECh. 8.9 - Prob. 30ECh. 8.9 - Prob. 31ECh. 8.9 - Prob. 32ECh. 8.9 - Prob. 33ECh. 8.9 - Prob. 34ECh. 8.9 - Solve each linear programming problem. Aid to...Ch. 8 - Find the distance between the points (3,5) and (2,...Ch. 8 - Prob. 2TCh. 8 - Restaurant Revenue Total revenue of full-service...Ch. 8 - 4. Find the x- and y-intercepts of the graph of...Ch. 8 - Prob. 5TCh. 8 - Prob. 6TCh. 8 - Prob. 7TCh. 8 - Prob. 8TCh. 8 - Prob. 9TCh. 8 - Prob. 10TCh. 8 - Prob. 11TCh. 8 - Prob. 12TCh. 8 - Prob. 13TCh. 8 - Prob. 14TCh. 8 - Prob. 15TCh. 8 - Prob. 16TCh. 8 - Prob. 17TCh. 8 - Prob. 18TCh. 8 - Prob. 19TCh. 8 - Prob. 20TCh. 8 - Prob. 21TCh. 8 - Prob. 22TCh. 8 - Prob. 23TCh. 8 - Solve each problem by using a system of...
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- Answer question 4 pleasearrow_forward16:39 < 文字 15:28 |美图秀秀 保存 59% 5G 46 照片 完成 Bonvicino - Period Name: 6. A right regular hexagonal pyramid with the top removed (as shown in Diagram 1) in such a manner that the top base is parallel to the base of the pyramid resulting in what is shown in Diagram 2. A wedge (from the center) is then removed from this solid as shown in Diagram 3. 30 Diogram 1 Diegrom 2. Diagram 3. If the height of the solid in Diagrams 2 and 3 is the height of the original pyramid, the radius of the base of the pyramid is 10 cm and each lateral edge of the solid in Diagram 3 is 12 cm, find the exact volume of the solid in Diagram 3, measured in cubic meters. Show all work. (T 文字 贴纸 消除笔 涂鸦笔 边框 马赛克 去美容arrow_forwardAnswer question 3 pleasearrow_forward
- Answer question 3 pleasearrow_forward38 Below triangle is isosceles. Find the value of x. 70° 60° x 20° Warrow_forwardProblem 11 (a) A tank is discharging water through an orifice at a depth of T meter below the surface of the water whose area is A m². The following are the values of a for the corresponding values of A: A 1.257 1.390 x 1.50 1.65 1.520 1.650 1.809 1.962 2.123 2.295 2.462|2.650 1.80 1.95 2.10 2.25 2.40 2.55 2.70 2.85 Using the formula -3.0 (0.018)T = dx. calculate T, the time in seconds for the level of the water to drop from 3.0 m to 1.5 m above the orifice. (b) The velocity of a train which starts from rest is given by the fol- lowing table, the time being reckoned in minutes from the start and the speed in km/hour: | † (minutes) |2|4 6 8 10 12 14 16 18 20 v (km/hr) 16 28.8 40 46.4 51.2 32.0 17.6 8 3.2 0 Estimate approximately the total distance ran in 20 minutes.arrow_forward
- - Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p − 1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., p-1 2 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). 23 32 how come? The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. The set T is the subset of these residues exceeding So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1.arrow_forwardLet n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p-1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., 2 p-1 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. 23 The set T is the subset of these residues exceeding 2° So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1. how come?arrow_forwardShading a Venn diagram with 3 sets: Unions, intersections, and... The Venn diagram shows sets A, B, C, and the universal set U. Shade (CUA)' n B on the Venn diagram. U Explanation Check A- B Q Search 田arrow_forward
- 3. A different 7-Eleven has a bank of slurpee fountain heads. Their available flavors are as follows: Mountain Dew, Mountain Dew Code Red, Grape, Pepsi and Mountain Dew Livewire. You fill five different cups full with each type of flavor. How many different ways can you arrange the cups in a line if exactly two Mountain Dew flavors are next to each other? 3.2.1arrow_forwardBusinessarrow_forwardWhat is the area of this figure? 5 mm 4 mm 3 mm square millimeters 11 mm Submit 8 mm Work it out 9 mmarrow_forward
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