New Semester Started Get 50% OFF Study Help! --h --m --s Claim Now

Question Answers

Textbooks

Find textbooks, questions and answers

Oops, something went wrong!

Change your search query and then try again

Result Not Found

Books FREE
Study Help
Tutors
AI Study Planner NEW
Sell Books

Search
Sign In
Register

study help
mathematics
basic technical mathematics

Basic Technical Mathematics 12th Edition Allyn J. Washington, Richard Evans - Solutions

Solve the indicated or given systems of equations by an appropriate algebraic method.Find the function f (x) = ax + b, if f (2) = 1 and f (−1) = −5.
Chains support a crate, as shown in Fig. 5.23. The equations relating tensions T1 and T2 are given below. Determine the tensions to the nearest 1 N from the graph. 0.8T, 0.6T₁ 0.67₂ = 12 68 + 0.8T₂
Solve the given problems by determinants, set up appropriate systems of equations. All numbers are accurate to at least two significant digits.A company budgets $750,000 in salaries, hardware, and computer time for the design of a new product. The salaries are as much as the others combined, and
Solve the indicated or given systems of equations by an appropriate algebraic method.Find the function f(x) = ax + b, if f (6) = −1 and f (−6) = 11.
Solve the given systems of equations by determinants. 7x = 2y 6 7y = 12 - 4x
Solve the given problems by determinants, set up appropriate systems of equations. All numbers are accurate to at least two significant digits.A person spent 1.10 h in a car going to an airport, 1.95 h flying in a jet, and 0.520 h in a taxi to reach the final destination. The jet’s speed averaged
Set up appropriate systems of two linear equations in two unknowns and then solve the systems by determinants. All numbers are accurate to at least two significant digits.A new development has 3-bedroom homes and 4-bedroom homes. The developer’s profit was $25,000 from each 3-br home, and $35,000
Find the x- and y-intercepts of the line with the given equation. Sketch the line using the intercepts. A calculator can be used to check the graph.y = 3x + 6
Solve the indicated or given systems of equations by an appropriate algebraic method.Solve the following system of equations by (a) Solving the first equation for x and substituting, and (b) Solving the first equation for y and substituting. 2x + y = 4 3x - 4y = -5
Graphically solve the given problems. A calculator may be used.An architect designing a parking lot has a row 202 ft wide to divide into spaces for compact cars and full-size cars. The architect determines that 16 compact car spaces and 6 full-size car spaces use the width, or that 12 compact car
Solve the given systems of equations by determinants. 3R = 8 - 51 61 = 8R + 11
Solve the indicated or given systems of equations by an appropriate algebraic method.Solve for x and y: 5 2 x + y x - y 20 2 x + y x - y + 3 نیا 2
Solve the given problems by determinants, set up appropriate systems of equations. All numbers are accurate to at least two significant digits.An intravenous aqueous solution is made from three mixtures to get 500 mL with 6.0% of one medication, 8.0% of a second medication, and 86% water. The
Set up appropriate systems of two linear equations in two unknowns and then solve the systems by determinants. All numbers are accurate to at least two significant digits.Two joggers are 2.0 mi apart. If they jog toward each other, they will meet in 12 min. If they jog in the same direction, the
Find the x- and y-intercepts of the line with the given equation. Sketch the line using the intercepts. A calculator can be used to check the graph.y = −2x − 4
Graphically solve the given problems. A calculator may be used.The equations relating the currents i1 and i2 shown in Fig. 5.25 are given below. Find the currents to the nearest 0.1 A. 2i₁ + 6(i₁ + 4i₂ + 6(i₁ + ₂) = 12 ₂) = 12
Solve the given systems of equations by determinants. 90x110y = 40 30x - 15y = 25
Solve the indicated or given systems of equations by an appropriate algebraic method.Find the voltages V1 and V2 of the batteries shown in Fig. 5.28. The terminals are aligned in the same direction in Fig. 5.28(a) and in the opposite directions in Fig. 5.28(b). Fig. 5.28 (a) (b) V, + V2 = 15
Solve the given systems of equations by determinants. 0.42x0.56y= 1.26 0.98x 1.40y = -0.28
Set up appropriate systems of two linear equations in two unknowns and then solve the systems by determinants. All numbers are accurate to at least two significant digits.A shipment of 320 cell phones and Bluetooth speakers was destroyed due to a truck accident. On the insurance claim, the shipper
Solve the indicated or given systems of equations by an appropriate algebraic method.A spring of length L is stretched x cm for each newton of weight hung from it. Weights of 3 N and then 5 N are hung from the spring, leading to the equationsSolve for L and x. L + 3x = 18 L + 5x = 22
Graphically solve the given problems. A calculator may be used.A small plane can fly 780 km with a tailwind in 3 h. If the tailwind is 50% stronger, it can fly 700 km in 2 h 30 min. Find the speed p of the plane in still air, and the speed w of the wind.
Find the x- and y-intercepts of the line with the given equation. Sketch the line using the intercepts. A calculator can be used to check the graph.12x + y = 30
Set up appropriate systems of two linear equations in two unknowns and then solve the systems by determinants. All numbers are accurate to at least two significant digits.Two types of electromechanical carburetors are being assembled and tested. Each of the first type requires 15 min of assembly
Solve the indicated or given systems of equations by an appropriate algebraic method.Two grades of gasoline are mixed to make a blend with 1.50% of a special additive. Combining x liters of a grade with 1.80% of the additive to y liters of a grade with 1.00% of the additive gives 10,000 L of the
Find the equation of the regression line for the given data. Then use this equation to make the indicated estimate. Round decimals in the regression equation to three decimal places. Round estimates to the same accuracy as the given data.The following table gives the weld diameters d (in mm) and
Find the x- and y-intercepts of the line with the given equation. Sketch the line using the intercepts. A calculator can be used to check the graph.y = 0.25x + 4.5
Explain your answers, choose an exercise from among Exercises 39–48 that you think is most easily solved by the indicated method.SubstitutionData from Exercises 48Solve the given systems of equations by determinants. 0.42x0.56y= 1.26 0.98x 1.40y = -0.28
Graphically solve the given problems. A calculator may be used.A construction company placed two orders, at the same prices, with a lumber retailer. The first order was for 8 sheets of plywood and 40 framing studs for a total cost of $304. The second order was for 25 sheets of plywood and 12
Set up appropriate systems of two linear equations in two unknowns and then solve the systems by determinants. All numbers are accurate to at least two significant digits.Since ancient times, a rectangle for which the length L is approximately 1.62 times the width w has been considered the most
Find the equation of the regression line for the given data. Then use this equation to make the indicated estimate. Round decimals in the regression equation to three decimal places. Round estimates to the same accuracy as the given data.The following table gives the percentage p of adults living
Find the equation of the regression line for the given data. Then use this equation to make the indicated estimate. Round decimals in the regression equation to three decimal places. Round estimates to the same accuracy as the given data.The following data gives the diameter in inches (measured 4.5
Solve the indicated or given systems of equations by an appropriate algebraic method.A 6.0% solution and a 15.0% solution of a drug are added to 200 mL of a 20.0% solution to make 1200 mL of a 12.0% solution for a proper dosage. The equations relating the number of milliliters of the added
Explain your answers, choose an exercise from among Exercises 39–48 that you think is most easily solved by the indicated method.DeterminantsData from Exercises 48Solve the given systems of equations by determinants. 0.42x0.56y= 1.26 0.98x 1.40y = -0.28
Set up appropriate systems of two linear equations in two unknowns and then solve the systems by determinants. All numbers are accurate to at least two significant digits.The ratio of males to females on a bus was 5/7. Then two females and one male boarded, and the ratio was 7/10. How many males
Graphically solve the given problems. A calculator may be used.A certain car gets 21 mi/gal in city driving and 28 mi/gal in highway driving. If 18 gal of gas are used in traveling 448 mi, how many miles were driven in the city, and how many were driven on the highway (assuming that only the given
Find the equation of the regression line for the given data. Then use this equation to make the indicated estimate. Round decimals in the regression equation to three decimal places. Round estimates to the same accuracy as the given data.The following table gives the fraction f (as a decimal) of
Set up appropriate systems of two linear equations in two unknowns and then solve the systems by determinants. All numbers are accurate to at least two significant digits.A machinery sales representative receives a fixed salary plus a sales commission each month. If $6200 is earned on sales of
Find the required values.Determine the values of m and b that make the following system have no solution:y = 3x - 7y = mx + b
Find the intercepts of the line X a b = 1.
Evaluate the given determinants. 4 - 1 - 1 2 8 6-2 1 - 1
Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.A person’s email for a day contained a total of 78 messages. The number of spam messages was two less than four times the other messages. How many were
Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.The weight Wf supported by the front wheels of a certain car and the weight Wr supported by the rear wheels together equal the weight of the car, 17,700
Set up appropriate systems of two linear equations in two unknowns and then solve the systems by determinants. All numbers are accurate to at least two significant digits.A boat carrying illegal drugs leaves a port and travels at 42 mi/h. A Coast Guard cutter leaves the port 24 min later and
Set up appropriate systems of two linear equations in two unknowns and then solve the systems by determinants. All numbers are accurate to at least two significant digits.A moving walkway at an airport is 65.0 m long. A child running at a constant speed takes 20.0 s to run along the walkway in the
Find the required values. What, if any, value(s) of m and b result in the following system having (a) One solution, (b) An unlimited number of solutions?y = -3x + by = mx + 8
Considering the slope m and the y-intercept b, explain how to determine if there is (a) A unique solution, (b) An inconsistent solution, or (c) A dependent solution.
Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.A 150-m cable is cut into two pieces such that one piece is four times as long as the other. How long is each piece?
Set up appropriate systems of two linear equations in two unknowns and then solve the systems by determinants. All numbers are accurate to at least two significant digits.Sterling silver is 92.5% silver and 7.5% copper. One silver-copper alloy is 94.0% silver, and a second silver-copper alloy is
Find the intercepts of the line y = mx + b.
The diameter of the large end, d (in in.), of a certain type of machine tool can be found from the equation d = 0.2l + 1.2, where l is the length of the tool. Sketch d as a function of l, for values of l up to 10 in. See Fig. 5.15. Fig. 5.15 T 1.2 in. O ㅗ d
Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.The torque of a force is the product of the force and the perpendicular distance from a specified point. If a lever is supported at only one point and is
Solve the given systems of equations algebraically. 2x + y + 2 = 4 x - 2y - z = 3 3x + 3y - 2z = 1
Evaluate the given determinants. 30 22 - 12 44 -27 0 -34 -41 35
Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.There are two types of offices in an office building, and a total of 54 offices. One type rents for $900/month and the other type rents for $1250/month.
Evaluate the given determinants. -2.24.1 7.0 1.2 6.4 -3.5 -7.2 2.4 -1.0
Set up appropriate systems of two linear equations in two unknowns and then solve the systems by determinants. All numbers are accurate to at least two significant digits.A surveyor measures the angle of elevation to the top of a hill to be 15.5°. He then moves 345 ft closer, on level ground, and
Evaluate the given determinants. -500 0-500 100 200 250 300 -300 200
The points (−2, 5) and (3, 7) are on the same straight line.(a) Find another point on the line for which x = −12.(b) Find another point on the line for which y = −3.
Set up appropriate systems of two linear equations in two unknowns and then solve the systems by determinants. All numbers are accurate to at least two significant digits.The velocity of sound in steel is 15,900ft/s faster than the velocity of sound in air. One end of a long steel bar is struck,
Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.In a test of a heat-seeking rocket, a first rocket is launched at 2000 ft/s, and the heat-seeking rocket is launched along the same flight path 12 s later
Do the points (1, −2), (3, −3), (5, −4), (7, −6), and (11, −7) lie on the same straight line?
Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.A sprinkler system is used to water two areas. If the total water flow is 980 L/h and the flow through one sprinkler is 65% as much as the other, what is
Write one or two paragraphs giving reasons for choosing a particular method of solving the following problem. If a first pump is used for 2.2 h and a second pump is used for 2.7 h, 1100 ft3 can be removed from a wastewater-holding tank. If the first pump is used for 1.4 h and the second for
Solve for x. Here, we see that we can solve an equation in which the unknown is an element of a determinant. 12-1 -2 3 -1 2-2 X = -3
Solve the given systems of equations algebraically. 2r + s + 2t = 8 3r2s 4t = 5 -2r + 3s + 4t = -3
For the dependent system of Example 8 on page 150, both equations can be written as y = 1/3x − 3. The solution for the system can then be shown in terms of a general point on the graph as (x, = 1/3x − 3). This is referred to as the solution with arbitrary x. Find the solutions in this form for
Solve the given systems of equations by determinants. 4u 4v 2w = -4 + - 20u15v 24u 12v + 10w = -10 9w 39
Solve the given systems of equations using the rref feature on a calculator. x + y + z = 80 2x3y = -20 2x + 3z = 115
Solve the given systems of equations by determinants, the numbers are approximate. 32t+24u+63v = 32 19v 3lu +42t = 132 - 48t + 12u + 11v = 0 =
Solve the given systems of equations algebraically. 4u + 4v 2w = -4 20u15v + 10w = 24u 12v = -10 9w = 39
Solve the given systems of equations algebraically, the numbers are approximate. 3.6x + 5.2yz = -2.2 3.2x 4.8y + 3.9z = 6.4x + 4.1y + 2.3z 8.1 5.1
Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.An underwater (but near the surface) explosion is detected by sonar on a ship 30 s before it is heard on the deck. If sound travels at 5000 ft/s in water
Solve the given systems of equations using the rref feature on a calculator. 5x + y - 4z 3x-5y = -5 - 6z = -20 x-3y + 82 = -27 8z
Solve the given systems of equations algebraically, the numbers are approximate. 32t + 24u+63v = 32 19v 3lu +42t = 132 48t 12u + 11v = 0
Solve the given systems of equations algebraically. x + 2y + z = 2 3x - 6y + 2z = 2 2x z = 8 -
Find the equation of the regression line for the given data. Then use this equation to make the indicated estimate. Round decimals in the regression equation to three decimal places. Round estimates to the same accuracy as the given data.The weight (in lb) and the highway fuel efficiency [in miles
Solve the given systems of equations by determinants, the numbers are approximate. 3.6x + 5.2yz = -2.2 3.2x 4.8y + 3.9z = 8.1 6.4x + 4.1y+2.3z = 5.1
For the dependent system of Example 8 on page 150, write the form for the solution with arbitrary y. See Exercise 67.Data from Exercises 67For the dependent system of Example 8 on page 150, both equations can be written as y = 1/3x − 3. The solution for the system can then be shown in terms of a
Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.A small isolated farm uses a windmill and a gas generator for power. During a 10-day period, they produced 3010kW · h of power, with the windmill
Sketch the indicated lines.In 2010, it was estimated that about 4.4 billion text messages were sent each day in the United States, and in 2020 it was estimated that this number was 6.8 billion. Assuming the growth in texting is linear, set up a function for the number N of daily text messages and
Sketch the indicated lines.A straight ski run declines 80 m over a horizontal distance of 480 m. Find the equation for the height h of a skier above the bottom as a function of the horizontal distance d moved. Sketch the graph.
Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.In an election, candidate A defeated candidate B by 2000 votes. If 1.0% of those who voted for A had voted for B, B would have won by 1000 votes. How many
Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.What conclusion can you draw from a sales report that states that “sales this month were $8000 more than last month, which means that total sales for
Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.In mixing a weed-killing chemical, a 40% solution of the chemical is mixed with an 85% solution to get 20 L of a 60% solution. How much of each solution
A plane cruising at an altitude of 2.5 km starts descending so that its altitude decreases at the rate 150 m/min. Find the equation for its altitude h (in m) as a function of time t and sketch the graph for t = 0 to t = 10min.
Sketch the indicated lines.Two electric currents, I1 and I2 (in mA), in part of a circuit in a computer are related by the equation 4I1 − 5I2 = 2. Sketch I2 as a function of I1. These currents can be negative.
Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.An airplane flies into a headwind with an effective ground speed of 140 mi/h. On the return trip it flies with the tailwind and has an effective ground
Sketch the indicated lines.In mixing 85-octane gasoline and 93-octane gasoline to produce 91-octane gasoline, the equation 0.85x + 0.93y = 910 is used. Sketch the graph.
What conditions must be placed on the constants of the system of equations in Exercise 65 such that the system is (a) Inconsistent?(b) Dependent?Data from Exercises 65What condition(s) must be placed on the constants of the system of equationssuch that there is a unique solution for x and y?
Solve the given systems of equations by determinants. 2x + y + z = 4 x - 2y z = 3 - 3x + 3y - 2z = 1
Solve the given systems of equations by determinants. 2r + s + 2t = 8 3r 2s 4t = 5 -2r + 3s + 4t = -3
Solve for x. Here, we see that we can solve an equation in which the unknown is an element of a determinant. 12 0-1 3 -2 2 1 X || 5
Solve for x. Here, we see that we can solve an equation in which the unknown is an element of a determinant. 지 -1 x 34 7
Solve for x. Here, we see that we can solve an equation in which the unknown is an element of a determinant. 25 1 X 3
Set up appropriate systems of two linear equations and solve the systems algebraically. All data are accurate to at least two significant digits.Regarding the forces on a truss, a report stated that force F1 is twice force F2 and that twice the sum of the two forces less 6 times F2 is 6 N. Explain
Find the equation of the regression line for the given data. Then use this equation to make the indicated estimate. Round decimals in the regression equation to three decimal places. Round estimates to the same accuracy as the given data.The data given in the table below are the dosage (in mg) of a
Determine the value of k that makes the system dependent. 3x - ky = 6 x + 2y = 2
Determine the value of k that makes the system dependent. 5x + 20y = 15 2x + ky = 6
Determine the value of k that makes the system inconsistent. 2x - 5y = 7 kx + 10y = 2

Showing 7200 - 7300 of 9193

First
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
Last

Step by Step Answers

Services

Sitemap
Fun
Definitions
Become Tutor
Used Textbooks
Study Help Categories
Recent Questions
Expert Questions
Campus Wear
Sell Your Books

Company Info

Security
Copyrights
Privacy Policy
Terms & Conditions
SolutionInn Fee
Scholarship
Online Quiz
Give Feedback, Get Rewards

Get In Touch

About Us
Contact Us
Career
Jobs
FAQ
Student Discount
Campus Ambassador

Secure Payment

Download Our App

© 2026 SolutionInn. All Rights Reserved