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mathematics
basic technical mathematics
Basic Technical Mathematics 12th Edition Allyn J. Washington, Richard Evans - Solutions
Simplify the given expressions. Express results with positive exponents only.−(−2)0
Simplify the given expressions.√75
Simplify the given expressions, the result is an integer. (−V-47)3
Simplify the given expressions. Express results with positive exponents only. 3 (2²/1) n³ 3
Determine which of the pair of approximate numbers is (a) More precise (b) More accurate.0.1; 78.0
Simplify the given expressions, the result is an integer. (31)³
Simplify the given expressions. Express results with positive exponents only.−v0
Simplify the given expressions. Express results with positive exponents only. ()
Perform the indicated calculations using a calculator and by first expressing all numbers in scientific notation. Assume that all numbers are exact.50,000(0.006)
Determine which of the pair of approximate numbers is (a) More precise (b) More accurate.0.041; 7.673
Simplify the given expressions. Express results with positive exponents only.(8a)0
Perform the indicated calculations using a calculator and by first expressing all numbers in scientific notation. Assume that all numbers are exact.28,000(2,000,000,000)
Determine which of the pair of approximate numbers is (a) More precise (b) More accurate.30.8; 0.010
Change the numbers from ordinary notation to scientific notation.0.0000908
Change the numbers from ordinary notation to scientific notation.0.0528
Simplify the given expressions. Express results with positive exponents only. 지 20
Determine the number of significant digits in each of the given approximate numbers. 5000; 5000.0; 5000̅
Simplify the given expressions. Express results with positive exponents only. NI. b. 3
Simplify the given expressions, the result is an integer. √√-32
Change the numbers from ordinary notation to scientific notation.10
Simplify the given expressions, the result is an integer. 4√81
Change the numbers from ordinary notation to scientific notation.609,000,000
Determine the number of significant digits in each of the given approximate numbers.1.00; 0.01; 0.0100
Determine the number of significant digits in each of the given approximate numbers.3000; 3000.1; 3000.10
Simplify the given expressions. Express results with positive exponents only.(3r2)3
Simplify the given expressions, the result is an integer.4√16
Change the numbers from ordinary notation to scientific notation.0.00074
Determine the number of significant digits in each of the given approximate numbers.0.8730; 0.0075; 0.0305
Simplify the given expressions. Express results with positive exponents only.(aT2)30
Simplify the given expressions, the result is an integer.3√125
Change the numbers from ordinary notation to scientific notation.0.0087
Determine the number of significant digits in each of the given approximate numbers.6.80; 6.08; 0.068
Simplify the given expressions, the result is an integer.-√900
Simplify the given expressions. Express results with positive exponents only.(x8)3
Change the numbers from ordinary notation to scientific notation.56,000
Determine the number of significant digits in each of the given approximate numbers.3600; 730; 2055
Simplify the given expressions.√0.09
Change the numbers from ordinary notation to scientific notation.4000
Simplify the given expressions. Express results with positive exponents only.(P2)4
Determine the number of significant digits in each of the given approximate numbers.107; 3004; 1040
Simplify the given expressions. Express results with positive exponents only. 3s 4 S
Change the numbers from scientific notation to ordinary notation.1.86 ×10
Simplify the given expressions. Express results with positive exponents only. -n5 7nº
Simplify the given expressions. Express results with positive exponents only. 2x6 X-
Simplify the given expressions, the result is an integer. √64
Simplify the given expressions.√0.25
Change the numbers from scientific notation to ordinary notation.1 × 10−1
Determine whether the given numbers are approximate or exact.Of a building’s 90 windows, 75 were replaced 15 years ago.
Simplify the given expressions, the result is an integer. -√36
Determine whether the given numbers are approximate or exact.A cube of copper 1 cm on an edge has a mass of 9g.
Simplify the given expressions, the result is an integer. -√121
Change the numbers from scientific notation to ordinary notation.8 ×100
Determine whether the given numbers are approximate or exact.A calculator has 50 keys, and its battery lasted for 50h of use.
Simplify the given expressions. Express results with positive exponents only.m5/m3
Change the numbers from scientific notation to ordinary notation.3.23 ×100
Determine whether the given numbers are approximate or exact.In 24h there are 1440 min.
Simplify the given expressions. Express results with positive exponents only.3k5k
Simplify the given expressions, the result is an integer.√225
Change the numbers from scientific notation to ordinary notation.9.61 ×10−5
Determine whether the given numbers are approximate or exact.A computer chip 0.002 mm thick is priced at $7.50.
Make the given changes in the indicated examples of this section and then solve the given problems.In the first illustration of Example 6, place a − sign before the radical. Is there any other change in the statement?Data from Example 6 even √-64 is imaginary even odd 4-243is imaginary -64 = -4
Simplify the given expressions. Express results with positive exponents only.2b4b2
Simplify the given expressions, the result is an integer.√49
Change the numbers from scientific notation to ordinary notation.2.01 ×10−3
Determine whether the given numbers are approximate or exact.A car with 8 cylinders travels at 55 mi/h.
Simplify the given expressions. Express results with positive exponents only.y2y7
Make the given changes in the indicated examples of this section and then solve the given problems.In Example 5(a), change the + to × and then evaluate.Data from Example 5(a) √16 + 9 = √√25 first perform the addition 16 + 9 = 5
Change the numbers from scientific notation to ordinary notation.6.8 × 107
Make the given changes in the indicated examples of this section, and then solve the given problems.In Example 13, change 12.9 to 21.9 and then find the estimated value.Data from Example 13In Example 1, we found that 38.3 − 12.9(−3.58) = 84.482 using exact numbers When using the calculator, if
Simplify the given expressions. Express results with positive exponents only.x3x4
Make the given changes in the indicated examples of this section, and then simplify the resulting expression.In Example 6(d), change (2x)0 to 2x0.Data from Example 6(d)If the quantity 2t were raised to the zero power, it would be written as (2t)0 , as in part (d). (2x)⁰ = 1
Make the given changes in the indicated examples of this section, and then solve the given problems.In Example 10, change 2.4832 to 2.5 and then find the result.Data from Example 10In finding the product of the approximate numbers 2.4832 and 30.5 on a calculator, the final display shows 75.7376.
Make the given changes in the indicated examples of this section and then solve the given problems.In Example 3(b), change and explain whether or not this would be a better expression to use.Data from Exercises 3(b) √(25)(3) to √(15)(5)
Make the given changes in the indicated examples of this section and then solve the given problems.In Example 2(b), change the square root to a cube root and thenevaluate.Data from Example 2(b) -√64 -8
Make the given changes in the indicated examples of this section, and then rewrite the number as directed.In Example 3(b), change the exponent −3 to 3 and then write the number in ordinary notation.Data from Example 3(b)To change 8.06 ×10−3 to ordinary notation, we must move the decimal point
Make the given changes in the indicated examples of this section, and then simplify the resulting expression.In Example 4(a), change (−x2)3 to (−x3)2.Data from Example 4(a) *²*₁ = (-1²@²2 = -x (-x²)³ = [(-1)x²]} = (-1)³ (x²)²
Change the numbers from scientific notation to ordinary notation.4.5 × 104
Make the given changes in the indicated examples of this section, and then rewrite the number as directed.In Example 5, change the exponent 2 to −1 and then write the result in scientific notation.Data from Example 5In determining the gravitational force between two stars 750,000,000,000 km
Make the given changes in the indicated examples of this section, and then solve the given problems.In Example 6(e), change 35.003 to 35.303 and then find the result.Data from Example 6(e)35.003 rounded off to four significant digits is 35.00.
Make the given changes in the indicated examples of this section, and then solve the given problems.In Example 3(b), change 0.039 to 0.390. Is there any change in the conclusion?Data from Example 3(b)0.039 has two significant digits. The zeros properly locate the decimal point.
Evaluate each of the given expressions by performing the indicated operations.10(−8)(−3) ÷ (10 − 50)
On each of the 7 days of the week, a person spends 25 min on Facebook and 15 min on Twitter. Set up the expression for the total time spent on these two sites that week. What fundamental law of algebra is illustrated?
A jet travels 600 mi/h relative to the air. The wind is blowing at 50 mi/h. If the jet travels with the wind for 3h, set up the expression for the distance traveled. What fundamental law of algebra is illustrated?
A water tank leaks 12gal each hour for 7h, and a second tank leaks 7gal each hour for 12h. In showing that the total amount leaked is the same for the two tanks, what fundamental law of algebra is illustrated?
Find the sum of the voltages of the batteries shown in Fig. 1.6. Note the directions in which they are connected. 6 V + -2 V 8 V Fig. 1.6 + -5 V 3 V
A faulty gauge on a fire engine pump caused the apparent pressure in the hose to change every few seconds. The pressures (in lb/in.2) above and below the set pressure were recorded as: +7,−2,−9,−6. What was the change between (a) The first two readings, (b) Between the middle two
One oil-well drilling rig drills 100m deep the first day and 200m deeper the second day. A second rig drills 200m deep the first day and 100m deeper the second day. In showing that the total depth drilled by each rig was the same, state what fundamental law of algebra is illustrated.
Determine which of the fundamental laws of algebra is demonstrated.(√5 × 3) × 9 = √5 × (3 × 9)
A flare is shot up from the top of a tower. Distances above the flare gun are positive and those below it are negative. After 5s the vertical distance (in ft) of the flare from the flare gun is found by evaluating (70)(5) + (−16)(25). Find this distance.
The daily high temperatures (in °C) for Edmonton, Alberta, in the first week in March were recorded as −7,−3, 2, 3, 1, −4, and −6. What was the average daily temperature for the week?
A baseball player’s batting average (total number of hits divided by total number of at-bats) is expressed in decimal form from 0.000 (no hits for all at-bats) to 1.000 (one hit for each at-bat). A player’s batting average is often shown as 0.000 before the first at-bat of the season. Is this a
Describe the values of x and y for which (a) −xy = 1 (b) x - y x - y = 1. ||
Some solar energy systems are used to supplement the utility company power supplied to a home such that the meter runs backward if the solar energy being generated is greater than the energy being used. With such a system, if the solar power averages 1.5 kW for a 3.0-h period and only 2.1kW . h is
Using subtraction of signed numbers, find the difference in the altitude of the bottom of the Dead Sea, 1396 m below sea level, and the bottom of Death Valley, 86 m below sea level.
The changes in the price of a stock (in dollars) for a given week were −0.68, +0.42, +0.06, −0.11, and +0.02. What was the total change in the stock’s price that week?
Describe the values of x and y for which (a) |x + y| = |x| + |y|(b) |x − y| = |x| + |y|.
Explain what is the error if the expression 24 − 6 ÷ 2 . 3 is evaluated as 27. What is the correct value?
Explain why the following definition of the absolute value of a real number x is either correct or incorrect (the symbol ≥ means “is equal to or greater than”): If x ≥ 0, then |x| = x; if x < 0, then |x| = −x.
Is subtraction commutative? Explain.
(a) What is the sign of the product of an even number of negative numbers? (b) What is the sign of the product of an odd number of negative numbers?
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