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mathematics
basic technical mathematics
Basic Technical Mathematics 12th Edition Allyn J. Washington, Richard Evans - Solutions
Evaluate the given expressions.−4√16 + (√6)2
Set up an appropriate equation and solve. Data are accurate to two significant digits unless greater accuracy is given.Before being put out of service, the supersonic jet Concorde made a trip averaging 120mi/h less than the speed of sound for 1.0h, and 410mi/h more than the speed of sound for 3.0
Simplify the given expressions. Where appropriate, express results with positive exponents only.(−2rt2)2
Set up an appropriate equation and solve. Data are accurate to two significant digits unless greater accuracy is given.An executive would arrive 10.0 min early for an appointment if traveling at 60.0 mi/h, or 5.0 min early if traveling at 45.0 mi/h. How much time is there until the appointment?
Simplify the given expressions. Where appropriate, express results with positive exponents only.−3mn−5t(8m−3n4)
Set up an appropriate equation and solve. Data are accurate to two significant digits unless greater accuracy is given.An outboard engine uses a gasoline-oil fuel mixture in the ratio of 15 to 1. How much gasoline must be mixed with a gasoline-oil mixture, which is 75% gasoline, to make 8.0 L of
Set up an appropriate equation and solve. Data are accurate to two significant digits unless greater accuracy is given.A car’s radiator contains 12L of antifreeze at a 25% concentration. How many liters must be drained and then replaced by pure antifreeze to bring the concentration to 50% (the
Set up an appropriate equation and solve. Data are accurate to two significant digits unless greater accuracy is given.How much sand must be added to 250 lb of a cement mixture that is 22% sand to have a mixture that is 25% sand?
For each number, (a) Determine the number of significant digits(b) Round off each to two significant digits.8000
Set up an appropriate equation and solve. Data are accurate to two significant digits unless greater accuracy is given.To pass a 20-m long semitrailer traveling at 70 km/h in 10 s, how fast must a 5.0-m long car go?
Evaluate the given expressions, all numbers are approximate. 1 0.03568 + 37, 466 29.632
For each number, (a) Determine the number of significant digits(b) Round off each to two significant digits.21,490
For each number, (a) Determine the number of significant digits(b) Round off each to two significant digits.9.050
For each number, (a) Determine the number of significant digits(b) Round off each to two significant digits.0.7000
Evaluate the given expressions. All numbers are approximate.37.3 − 16.92(1.067)2
Make the indicated conversions.875 Btu to joules
Make the indicated conversions.12.25 g/L to lb/ft 3
Make the indicated conversions.225 hp to joules per minute
Make the indicated conversions.89.7lb/in.2 to N/cm2
Perform the indicated operations.xy − y − 5y − 4xy
Perform the indicated operations.−(2x − b) − 3(−x − 5b)
Perform the indicated operations.(2x − 1)(5 + x)
Perform the indicated operations.(C − 4D)(D − 2C)
Perform the indicated operations.(x + 8)2
Perform the indicated operations.(2r − 9s)2
Perform the indicated operations.4a²x3 - 8ax4 /-2ax²
Perform the indicated operations.4R − [2r − (3R − 4r)]
Perform the indicated operations.−3b − [3a − (a − 3b)] + 4a
Perform the indicated operations.2xy − {3z − [5xy − (7z − 6xy)]}
Perform the indicated operations.x2 + 3b + [(b − y) − 3(2b − y + z)]
Perform the indicated operations.(2x + 1)(x2 − x − 3)
Perform the indicated operations.(x − 3)(2x2 + 1 − 3x)
Perform the indicated operations.−3y(x − 4y)2
Perform the indicated operations.−s(4s − 3t)2
Perform the indicated operations.3p[(q − p) − 2p(1 − 3q)]
Perform the indicated operations.3x[2y − r − 4(x − 2r)]
Perform the indicated operations.12p³q² - 4p4q + 6pq5 /2p4q
Perform the indicated operations27s³t2 - 18s4t + 9s²t /-9s²t
Perform the indicated operations(2x2 + 7x − 30) ÷ (x + 6)
Perform the indicated operations(4x2 − 41) ÷ (2x + 7)
Perform the indicated operations3x3 - 7x² + 11x - 3/3x-1
Solve the given equations. 5.x 7 3
Perform the indicated operationsw³ + 7w – 4w² – 12/w – 3
Perform the indicated operations 4x4 + 10x3 + 18x – 1/x + 3
Perform the indicated operations 8x3 – 14x + 3/2x + 3
Perform the indicated operations−3{(r + s − t) − 2[(3r − 2s) − (t − 2s)]}
Perform the indicated operations(1 − 2x)(x − 3) − (x + 4)(4 − 3x)
Solve the given equations. 2(4- N) -3 || 4
Perform the indicated operations 2y³ – 7y + 9y2 + 5/2y – 1
Perform the indicated operations 6x² + 5xy – 4y²/2x – y
Solve the given equations.3x + 1 = x − 8
Solve the given equations.4y − 3 = 5y + 7
Solve the given equations.−6x + 5 = −3(x − 4)
Solve the given equations.−2(−4 − y) = 3y
Solve the given equations.2s + 4(3 − s) = 6
Solve the given equations.2|x| − 1 = 3
Solve the given equations.3t − 2(7 − t) = 5(2t + 1)
Solve the given equations.−(8 − x) = x − 2(2 − x)
Solve the given equations.2.7 + 2.0(2.1x − 3.4) = 0.1
Solve the given equations.0.250(6.721 − 2.44x) = 2.08
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notationThe escape velocity (the velocity required to leave the Earth’s gravitational field) is about 25,000mi/h.
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notationIn 2018, a dwarf planet named 2018VG18, was discovered. It was 17,700,000,000 km from the sun.
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notationPolice radar has a frequency of 1.02 ×109 Hz.
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notationAmong the stars nearest the Earth, Centaurus A is about 2.53 ×1013 mi away.
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notationBefore its destruction in 2001, the World Trade Center had nearly 107ft2 of office space.
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notationThe faintest sound that can be heard has an intensity of about 10−12 W/m2.
Solve for the indicated letter. Where noted, the given formula arises in the technical or scientific area of study.for G (astronomy: black holes) R= = 2GM c² с
Solve for the indicated letter. Where noted, the given formula arises in the technical or scientific area of study.V = πr2L, for L (oil pipeline volume)
Solve for the indicated letter. Where noted, the given formula arises in the technical or scientific area of study.for E (mechanics) P ΠΕΙ L2
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notation.The maximum safe level of radiation in the air of a home due to radon gas is 1.5 × 10−1 Bq/L. (Bq is the symbol for bequerel, the metric unit of radioactivity, where 1Bq =
Solve for the indicated letter. Where noted, the given formula arises in the technical or scientific area of study. f = p(c − 1) − c(p − 1), for p (thermodynamics)
Change numbers in ordinary notation to scientific notation or change numbers in scientific notation to ordinary notation.A certain virus was measured to have a diameter of about 0.00000018 m.
Solve for the indicated letter. Where noted, the given formula arises in the technical or scientific area of study.Pp + Qq = Rr, for q (moments of forces)
Solve for the indicated letter. Where noted, the given formula arises in the technical or scientific area of study. for T1 (solar heating) Q kAt(T₂ - T₁) L
Solve for the indicated letter. Where noted, the given formula arises in the technical or scientific area of study. V = IR + Ir, for R (electricity)
Solve for the indicated letter. Where noted, the given formula arises in the technical or scientific area of study.d = (n − 1)A, for n (optics)
Solve for the indicated letter. Where noted, the given formula arises in the technical or scientific area of study.for T2 (thermal resistance) R = A(T₂-T₁) H
Solve for the indicated letter. Where noted, the given formula arises in the technical or scientific area of study.for λ(radar design) 2211-) = 2a. k,
Solve for the indicated letter. Where noted, the given formula arises in the technical or scientific area of study. mu = (m + M)v, for M (physics: momentum)
Solve for the indicated letter. Where noted, the given formula arises in the technical or scientific area of study. N1 = T(N2 − N3) + N3, for N2 (mechanics: gears)
Solve for the indicated letter. Where noted, the given formula arises in the technical or scientific area of study.d = kx2[3(a + b) − x], for a (mechanics: beams)
Solve for the indicated letter. Where noted, the given formula arises in the technical or scientific area of study.V = V0[1 + 3a(T2 − T1)], for T2 (thermal expansion)
Perform the indicated calculations.The time (in s) for an object to fall h feet is given by the expression 0.25√h. How long does it take a person to fall 66 ft from a sixth-floor window into a net while escaping a fire?
Two computer software programs cost $190 together. If one costs $72 more than the other, what is the cost of each?
Solve the given problems. All data are accurate to two significant digits unless greater accuracy is given.A sponsor pays a total of $9500 to run a commercial on two different TV stations. One station charges $1100 more than the other. What does each charge to run the commercial?
Solve the given problems. All data are accurate to two significant digits unless greater accuracy is given.Three chemical reactions each produce oxygen. If the first produces twice that of the second, the third produces twice that of the first, and the combined total is 560 cm3, what volume is
Perform the indicated calculations.The time (in s) it takes a computer to check n cells is found by evaluating (n/2650)2. Find the time to check 4.8 × 103 cells.
Solve the given problems. All data are accurate to two significant digits unless greater accuracy is given.An air sample contains 4.0 ppm (parts per million) of two pollutants. The concentration of one is four times the other. What are the concentrations?
Perform the indicated calculations.The combined electric resistance of two parallel resistors is found by evaluating the expressionEvaluate this for R1 = 0.0275Ω and R2 = 0.0590Ω. R₁ R₂ R₁ + R₂
A typical electric current density in a wire is 1.2 × 106 A m2 (A is the symbol for ampere). Express this in mAcm2.
Solve the given problems. All data are accurate to two significant digits unless greater accuracy is givenThe fuel for a two-cycle motorboat engine is a mixture of gasoline and oil in the ratio of 15 to 1. How many liters of each are in 6.6 L of mixture?
Solve the given problems.Does the value of 3 ×18 ÷ (9 − 6) change if the parentheses are removed?
Solve the given problems.For x = 2 and y = −4, evaluate (a) 2|x| − 2|y;(b) 2|x − y|.
Solve the given problems.In solving the equation 7 − (2 − x) = x + 2, what conclusion can be made?
Solve the given problems.If a < 0, write the value of a without the absolute value symbols.
Solve the given problems.If 3 − x < 0, solve |3 − x| + 7 = 2x for x.
Perform the indicated calculations.The distance (in m) from the Earth for which the gravitational force of the Earth on a spacecraft equals the gravitational force of the sun on it is found by evaluating 1.5 ×1011√m/M, where m and M are the masses of the Earth and sun, respectively. Find this
Simplify the given expressions.In finding the value of an annuity, the expression (Ai − R)(1 + i)2 is used. Multiply out this expression.
Perform the indicated calculations.The CN Tower in Toronto is 0.553 km high. The Willis Tower (formerly the Sears Tower) in Chicago is 442m high. How much higher is the CN Tower than the Willis Tower?
Solve the given problems.Solve |x − 4| + 6 = 3x for x.
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