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
S
Books
FREE
Study Help
Expert Questions
Accounting
General Management
Mathematics
Finance
Organizational Behaviour
Law
Physics
Operating System
Management Leadership
Sociology
Programming
Marketing
Database
Computer Network
Economics
Textbooks Solutions
Accounting
Managerial Accounting
Management Leadership
Cost Accounting
Statistics
Business Law
Corporate Finance
Finance
Economics
Auditing
Tutors
Online Tutors
Find a Tutor
Hire a Tutor
Become a Tutor
AI Tutor
AI Study Planner
NEW
Sell Books
Search
Search
Sign In
Register
study help
mathematics
basic technical mathematics
Basic Technical Mathematics 12th Edition Allyn J. Washington, Richard Evans - Solutions
In finding the maximum operating temperature T (in °C) for a computer integrated circuit, the equation 1.1 = (T − 76) 40 is used. Find the temperature.
Perform the indicated multiplications.3T(T + 2)(2T − 1)
Solve the given problems.If a gas under constant pressure has volume V1 at temperature T1 (in kelvin), then the new volume V2 when the temperature changes from T1 to T2 is given bySimplify the right-hand side of this equation. V₂ = V₁ (1+ T2 T₂-T₁ T₁
Simplify the given algebraic expressions.When finding the current in a transistor circuit, the expression i1 − (2 − 3i2) + i2 is used. Simplify this expression. (The numbers below the i’s are subscripts. Different subscripts denote different variables.)
In finding the rate v (in km/h) at which a polluted stream is flowing, the equation 15(5.5 + v) = 24(5.5 − v) is used. Find v.
Perform the indicated multiplications.(−c2 + 3x)3
Solve the given problems.The area of a certain rectangle can be represented by 6x2 + 19x + 10. If the length is 2x + 5, what is the width? (Divide the area by the length.)
Simplify the given algebraic expressions.In determining the size of a V belt to be used with an engine, the expression 3D − (D − d) is used. Simplify this expression.
To find the amount of a certain investment of x dollars, it is necessary to solve the equation 0.03x + 0.06(2000 − x) = 96. Solve for x.
Perform the indicated multiplications.(2 + x)(3 − x)(x − 1)
Simplify the given algebraic expressions.−3{2.1e − 1.3[−f − 2(e − 5 f )]}
Make the indicated conversions 25.0 mito gal km L
Make the indicated conversions 65.2 to ft S min
Make the indicated conversions15.7qt to L
Make the indicated conversions7.50W to hp
Make the indicated conversions245cm2 to in.2
Make the indicated conversions85.7mi2 to km2
Solve the given problems.A laptop computer has a screen that measures 15.6 in. across its diagonal. Convert this to centimeters.
Solve the given problems.A wastewater treatment plant processes 575,000 gal/day. Convert this to liters per hour.
Solve the given problems.GPS satellites orbit the Earth at an altitude of about 12,500 mi. Convert this to kilometers
Solve the given problems.Water flows from a fire hose at a rate of 85 gal/min. Convert this to liters per second.
Solve the given problems.The speed of sound is about 1130 ft/s. Change this to kilometers per hour.
Solve the given problems.A military jet flew at a rate of 7200 km/h. What is this speed in meters per second?
Solve the given problems.At sea level, atmospheric pressure is about 14.7 lb/in.2. Express this in pascals (Pa).
Solve the given problems.The density of water is about 62.4lb/ft3. Convert this to kilograms per cubic meter.
Perform the indicated operations and attach the correct units to your answers. (238 kg (1000 g) m³ €) (10 1 kg 1 m 100 cm 3
All numbers are approximate. (a) Estimate the result mentally using one-significant-digit approximations of all the numbers, and (b) Compute the result using the appropriate rounding rules and compare with the estimate.21.6 − 53.14 ÷ 9.64
Solve the given problems.Is it always true that √a2 = a? Explain.
Solve the given problemsThe number of electrons in the universe has been estimated at 1079. How many times greater is a googol than the estimated number of electrons in the universe?
Perform the indicated operations and attach the correct units to your answers. (28.2) (9.81 s)
Perform the indicated operations and attach the correct units to your answers. 60s 7.25m(0.3048m) (mm) min 2
Perform the indicated operations and attach the correct units to your answers. 40.5. 5 mi(3.7 gal) gal
Calculate the value offor n = 1, 10, 100, 1000 on a calculator. Round to four decimal places. (1+) n 11
Assume that all numbers are approximate unless stated otherwise.The percent of alcohol in a certain car engine coolant is found by performing the calculationFind this percent of alcohol. The number 100 is exact. 100(40.63 +52.96) 105.30 52.96
Assume that all numbers are approximate unless stated otherwise.The tension (in N) in a cable lifting a crate at a construction site was found by calculating the value ofwhere the 1 is exact. Calculate the tension. 50.45(9.80) 1 + 100.9 23
All numbers are approximate. (a) Estimate the result mentally using one-significant-digit approximations of all the numbers, and (b) Compute the result using the appropriate rounding rules and compare with the estimate.7.84 × 4.932 − 11.317
For computer memory, the metric prefixes have an unusual meaning: 1KB = 210 bytes, 1MB = 210 KB, 1GB = 210 MB, and 1TB = 210 GB. How many bytes are there in 1TB? (KB is kilobyte, MB is megabyte, GB is gigabyte, TB is terabyte.)
Perform the indicated operations.In designing a building, it was determined that the forces acting on an I beam would deflect the beam an amount (in cm), given bywhere x is the distance (in m) from one end of the beam. Find the deflection for x = 6.85 m. (The 1000 and 20 are exact.) x(1000 20x² +
Perform the indicated calculations by first expressing all numbers in scientific notation.The average distance between the sun and Earth, 149,600,000 km, is called an astronomical unit (AU). If it takes light 499.0 s to travel 1 AU, what is the speed of light? Compare this with the speed of the GPS
Perform the indicated operations.For a certain integrated electric circuit, it is necessary to simplify the expressionPerform this simplification. gM (2π fM)-2 2π fC
Perform the indicated calculations by first expressing all numbers in scientific notation.In a microwave receiver circuit, the resistance R of a wire 1 m long is given by R = k/d2, where d is the diameter of the wire. Find R if k = 0.00000002196 Ω m · 2 and d = 0.00007998 m.
Assume that all numbers are approximate unless stated otherwise.Find the voltage in a certain electric circuit by multiplying the sum of the resistances 15.2Ω, 5.64Ω, and 101.23Ω by the current 3.55 A.
Perform the indicated calculations by first expressing all numbers in scientific notation.The rate of energy radiation (in W) from an object is found by evaluating the expression kT4 , where T is the thermodynamic temperature. Find this value for the human body, for which k = 0.000000057 W/K4 and T
Assume that all numbers are approximate unless stated otherwise.Certain types of iPhones and iPads weigh approximately 129 g and 298.8 g, respectively. What is the total weight of 12 iPhones and 16 iPads of these types?
Perform the indicated operations.If $2500 is invested at 2.1% interest, compounded quarterly, the amount in the account after 6 years is 2500(1 + 0.021/4)24. Round the answer to the nearest penny.
Perform the indicated operations.In designing a cam for a fire engine pump, the expressionis used. Simplify this expression. П (3) (3 4 3пт2
Perform the indicated calculations by first expressing all numbers in scientific notation.One atomic mass unit (amu) is 1.66 ×10−27 kg. If one oxygen atom has 16 amu (an exact number), what is the mass of 125,000,000 oxygen atoms?
The resonance frequency f (in Hz) in an electronic circuit containing inductance L (in H) and capacitance C (in F) is given byFind the resonance frequency if L = 0.250 H and C = 40.52 ×10−6 F. f 1 2T√LC
Assume that all numbers are approximate unless stated otherwise.A shipment contains eight LED televisions, each weighing 24.6 lb, and five video game consoles, each weighing 15.3 lb. What is the total weight of the shipment?
In statistics, the standard deviation is the square root of the variance. Find the standard deviation if the variance is 80.5kg2.
Perform the indicated calculations.(a) Determine the number of seconds in a day in scientific notation.(b) Using the result of part (a), determine the number of seconds in a century (assume 365.24 days/year).
Assume that all numbers are approximate unless stated otherwise.In 3 successive days, a home solar system produced 32.4 MJ, 26.704 MJ, and 36.23 MJ of energy. What was the total energy produced in these 3 days?
Solve the given problems.A graphing calculator has a specific key sequence to find nth roots. Using a calculator, find V0.382 and V-382.
Perform the indicated calculations.If it takes 0.078 s for a GPS signal traveling at 2.998 × 108 m/s to reach the receiver in a car, find the distance from the receiver to the satellite.
Perform the calculations on a calculator without rounding.Following Exercise 56, show that the decimal equivalent of the fraction 124/990 indicates that it is rational. Why is the last digit different?Data from Exercises 56At some point in the decimal equivalent of a rational number, some sequence
Perform the indicated operations.In studying planetary motion, the expression (GmM)(mr)−1(r−2) arises. Simplify this expression.
Perform the indicated calculations.A computer can do an addition in 7.5 × 10−15s. How long does it take to perform 5.6 × 106 additions?
Perform the calculations on a calculator without rounding.Following Exercise 56, show that the decimal equivalents of the following fractions indicate they are rational: (a) 1/3 (b) 5/11(c) 2/5. What is the repeating part of the decimal in (c)?Data from Exercises 56At some point in the
Solve the given problems.A graphing calculator has a specific key sequence to find cube roots. Using a calculator, find 2140 and 3-0.214.
Solve the given problems.Evaluateif x = 12.7 and y = −18.2. √x² + y² 2
Perform the indicated operations.In developing the “big bang” theory of the origin of the universe, the expression (kT /(hc))3 (GkThc)2c arises. Simplify this expression.
Solve the given problems.GB means gigabyte where giga means billion, or 109. Actually, 1GB = 230 bytes. Use a calculator to show that the use of giga is a reasonable choice of terminology.
Solve the given problems.The greatest distance (in km) a person can see from a height h(in m) above the ground isWhat is this distance for the pilot of a plane 9500 m above the ground? √1.27 x 10¹h + h².
Perform the calculations on a calculator without rounding.At some point in the decimal equivalent of a rational number, some sequence of digits will start repeating endlessly. An irrational number never has an endlessly repeating sequence of digits. Find the decimal equivalents of (a) 8/33
Perform the indicated operations.If a and b are positive integers, simplify (−ya−b · ya+b)2 .
Perform the indicated operations.If a is a positive integer, simplify (xa · x−a)5.
Solve the given problems.The diameter of the sun, 1.4 ×109m, is about 109 times the diameter of Earth. Express the diameter of Earth in scientific notation.
Perform the indicated operations.Doesequal 1? Explain. 0.25-10 10-²
Perform the calculations on a calculator without rounding.Show that π is not equal exactly to (a) 3.1416,(b) 22/7.
Perform the indicated operations.Is a−2 < a−1 for any negative value of a? Explain.
Perform the calculations on a calculator without rounding.Evaluate: (a) 2 ÷ 0.0001 and 2 ÷ 0 (b) 0.0001 ÷ 0.0001 and 0 ÷ 0 (c) Explain why the displays differ.
Solve the given problems.A TV screen is 52.3 in. wide and 29.3 in. high. The length of a diagonal (the dimension used to describe it—from one corner to the opposite corner) is found by evaluating where w is the width and h is the height. Find the diagonal. √w² + h²,
Perform the indicated operations.If a3 = 5, then what does a12 equal?
Evaluate the given expressions all numbers are approximate. 4.2(2.6) + 0.889 1.89 1.09²
Solve the given problems.A car costs $38,000 new and is worth $24,000 2 years later. The annual rate of depreciation is found by evaluating where C is the cost and V is the value after 2 years. At what rate did the car depreciate? (100 and 1 are exact.) 100(1 - √VIC),
Solve the given problems.A googol is defined as 1 followed by 100 zeros. (a) Write this number in scientific notation. (b) A googolplex is defined as 10 to the googol power. Write this number using powers of 10, and not the word googol.
Perform the calculations on a calculator without rounding.Evaluate: (a) 2 + 0 (b) 2 − 0 (c) 0 − 2 (d) 2 × 0(e) 2 ÷ 0 Compare with operations with zero on page 10.
Solve the given problems.A tsunami is a very high ocean tidal wave (or series of waves) often caused by an earthquake. An Alaskan tsunami in 1958 measured over 500 m high; an Asian tsunami in 2004 killed over 230,000 people; a tsunami in Japan in 2011 killed over 10,000 people. An equation that
Evaluate the given expressions all numbers are approximate. 2.38(-10.7) ² 254 1.173
Solve the given problems.Write the following numbers in engineering notation and then replace the power of 10 with the appropriate metric prefix.(a) 8, 090, 000 Ω (b) 809,000 Ω (c) 0.0809 Ω
Perform the calculations on a calculator without rounding.Evaluate: (a) 6.03 ÷ 2.25 + 1.77 (b) 6.03 ÷ (2.25 + 1.77)
Solve the given problems.Write the following numbers in engineering notation and then replace the power of 10 with the appropriate metric prefix.(a) 2300 W (b) 0.23 W (c) 2,300,000 W (d) 0.00023 W
Perform the calculations on a calculator without rounding.Evaluate: (a) 2.2 + 3.8 × 4.5 (b) (2.2 + 3.8) × 4.5
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notation.The electrical force between two electrons is about 2.4 ×10−43 times the gravitational force between them.
Solve the given problems.The resistance in an amplifier circuit is found by evaluatingFind the resistance for Z = 5.362 Ω and X = 2.875 Ω. √Z² - X². 72 2
A technician records 4.4 s as the time for a robot arm to swing from the extreme left to the extreme right, 2.72 s as the time for the return swing, and 1.68 s as the difference in these times. What is wrong with this conclusion?
Evaluate the given expressions all numbers are approximate. 15.662 (-4.017)4 1.044(-3.68)
Solve the given problems.The speed (in m/s) of sound in seawater is found by evaluating √B/d for B = 2.18 ×109 Pa and d = 1.03 ×103 kg/m3.Find this speed, which is important in locating underwater objects using sonar.
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notation.The power of the signal of a laser beam probe is 1.6 × 10−12 W.
A flash of lightning struck a tower 3.25 mi from a person. The thunder was heard 15s later. The person calculated the speed of sound and reported it as 1144ft/s. What is wrong with this conclusion?
Evaluate the given expressions all numbers are approximate. 3.07(-1-1.861) (-1.86)41.596
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notation.A parsec, a unit used in astronomy, is about 3.086 ×1016m.
A car manufacturer states that the engine displacement for a certain model is 2400cm3. What should be the least possible and greatest possible displacements?
Solve the given problems.The speed (in mi/h) of a car that skids to a stop on dry pavement is often estimated by √24s, where s is the length (in ft) of the skid marks. Estimate the speed if s = 150 ft.
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notation.The Gulf of Mexico oil spill in 2010 covered more than 12,000,000,000m2 of ocean surface.
The manual for a heart monitor lists the frequency of the ultrasound wave as 2.75 MHz. What are the least possible and the greatest possible frequencies?
Find the value of each square root by use of a calculator. Each number is approximate.a.b. √3.6252 +0.614²
Perform the indicated calculations using a calculator. All numbers are approximate. (7.309 x 10-1)² 5.9843(2.5036 × 10-20)
Perform the indicated operations assuming all numbers are approximate and round the answer appropriately. Use the procedure shown in Example 11.Data from Example 11For problems with multiple operations that require using more than one of the rules given on the previous page, follow the correct
Find the value of each square root by use of a calculator. Each number is approximate.a.b. √0.04292 0.0183²
Showing 8800 - 8900
of 9193
First
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
Step by Step Answers
Get 50% OFF
Claim Now
