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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

Fill in the blanks with an appropriate word, phrase, or symbol(s).A rigid motion that moves a geometric figure to a new position such that the new position is a mirror image of the figure in the
Fill in the blanks with an appropriate word, phrase, or symbol(s).Two lines in the same plane that do not intersect are called _______ lines.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A closed figure in a plane determined by three or more straight line segments is called a(n) _______.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Because it deals with bending and stretching of geometric figures, topology is sometimes referred to as ________ sheet geometry.
The Kamdars installed a home security system that includes an installation fee of $75 plus a monthly service fee of $25. The total cost of the system is given by C = 75 + 25x, where x is the number
Determine the equation of the graph. yt 5. 4 3. 2. -5-4 -3 –2- 3 4 -2- -3 4 -5
Determine the equation of the graph. y1 5. 4. 3- 2. 1. -5-4 --2 2 3 4 -2. -3. 5.
Determine the equation of the graph. 2. 1.... I.
Determine the equation of the graph. yt 5- 4. 3. 2- 1- -5 -4 -3 -2 – 1 2 3 4 -4- -5- 3-
Graph the equation using the slope and y-intercept.3x - 2y + 6 = 0
In Exercise, graph the inequality.4x + 2y ≥ 12
Graph the equation using the slope and y-intercept.y = x + 2
Solve the system of equations graphically. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.x + 2y = 52x + 4y = 4
Solve the system of equations graphically. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.x + 3y = 53x - 3y = 3
Graph the solution set of the inequality, where x is an integer, on the number line.-1/3 < x - 2/12 ≤ 1/4
Graph the solution set of the inequality, where x is an integer, on the number line.0.3 ≤ x + 2/10 ≤ 0.5
Graph the solution set of the inequality, where x is an integer, on the number line.-2 < 2x + 3 < 6
Graph the solution set of the inequality, where x is an integer, on the number line.1 > -x > -6
Graph the equation by plotting points.x - y = 2
Determine which ordered pairs satisfy the given equation.y = -5/7x + 10 (14, 0) (0, 10) (7, 15)
Graph the solution set of the inequality, where x is an integer, on the number line.5(x + 4) - 6 ≤ 2x + 8
Graph the solution set of the inequality, where x is an integer, on the number line.-2(x - 1) < 3(x - 4) + 5
Graph the solution set of the inequality, where x is an integer, on the number line.3(x + 4) ≥ 4x + 13
Graph the solution set of the inequality, where x is an integer, on the number line.-5x - 1 < 17 - 2x
Graph the system of linear inequalities and indicate the solution set.x ≤ 0y ≤ 0
Graph the solution set of the inequality, where x is an integer, on the number line.-15 < -4x - 3
Graph the system of linear inequalities and indicate the solution set.x ≥ 1y ≤ 1
Graph the solution set of the inequality, where x is an integer, on the number line.3x/5 ≤ 3
Graph the system of linear inequalities and indicate the solution set.3x - 2y ≥ 6 x - y ≤ 3
Graph the inequality.x + 2y ≤ 0
Graph the inequality.y ≥ -2x + 1
Graph the solution set of the inequality, where x is a real number, on the number line.3x + 11 ≥ 6(x + 2) - 3(x + 4)
Use your intuition to determine whether the variation between the indicated quantities is direct or inverse.The percent of light that filters through water and the depth of the water.
We illustrated how to change an area in a metric unit to an area measured with a different metric unit.a) Using Example 3 as a guide, change 1 square mile to square inches.b) Is converting from one
Fill in the blank to make a true statement.5.3 kℓ = _______ dm3
In Exercise, fill in the blank.4.2 ℓ = ______ cm3
In Exercise, fill in the blank.189 kℓ = _______ m3
In Exercise, fill in the blank.435 cm3 = ______ℓ
Fill in the blank.724 cm3 = ________ mℓ
When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.A cylindrical hot-water heater has a diameter of 0.56 m and a height of 1.17 m. If the hot water
When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.A cylindrical saucepan has a diameter of 18.0 cm and a height of 9.0 cm. Determine the volume of the
When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.At most airports in countries that use the metric system, the maximum allowable dimensions of a
When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.The dimensions of a large rectangular playground are 42.4 m by 32.5 m.a) Determine the area of the
When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.In Costa Rica, a real estate sign indicated that a piece of property was for sale. It listed the
When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.Central Park in New York City is approximately rectangular in shape with a length of about 4 km and
When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.A rectangular flower garden 60 m by 80 m is surrounded by a dirt walkway 1.6 m wide.a) Determine the
When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.The world’s largest helicopter that went into production is the Russian built MI-26. Its single
In Exercise, select the best answer.One cubic meter has the equivalent volume of which of the following liquid measures: a liter, a milliliter, or a kiloliter?
Water in a cylindrical tank that is 40 cm in diameter and 2 m high (Use V = πr2h.)(a) Estimate the volume in metric units.(b) Compute the actual volume of the item. When appropriate, use the π key
Oil in a barrel that has a height of 1 m and a diameter of 0.5 m (Use V = πr2h.)(a) Estimate the volume in metric units.(b) Compute the actual volume of the item. When appropriate, use the π key on
Water in a water bed that is 2 m long, 1.5 m wide, and 25 cm deep (Use V = lwh.)(a) Estimate the volume in metric units.(b) Compute the actual volume of the item. When appropriate, use the π key on
Air in a pizza box that is 46 cm long, 46 cm wide, and 5 cm tall (Use V = lwh.)(a) Estimate the volume in metric units.(b) Compute the actual volume of the item. When appropriate, use the π key on
The displacement of an automobile engine is measured in liters. A 2019 Chevrolet Camaro SS has a 6.2 ℓ engine.a) Determine the displacement of the engine in cubic centimeters.b) If 1 cubic inch is
Convert as indicated.3.5 kg = t
The dimensions of a rectangular storage tank are length 20 m, width 10 m, and height 8 m. If the tank is filled with water, determinea) The volume of water in the tank in cubic meters.b) The number
Deandra takes two 250-mg chewable calcium tablets each day.a) How many milligrams of calcium will Deandra take in a week?b) How many grams of calcium will Deandra take in a week?
Choose the best answer to indicate the volume of the following.Water that could fill an Olympic-size swimming pool.a) 2500 kℓb) 2500 ℓc) 2500 mℓ
On February 1, 2019, the conversion rates for U.S. dollars were as follows: One U.S. dollar could buy 0.87 euro, 1.33 Canadian dollars, or 19.05 Mexican pesos. Using this information, determine the
The 2018 Ford Mustang gets about 13.60 km// on the highway. The 2018 Ford Mustang GT gets about 10.63 km/ℓ.a) What is the highway gas mileage of the Ford Mustang in meters per liter?b) What is the
The photo shown, taken in Italy, shows melanzane (eggplant) selling for 2.40 euros per kilogram.a) Determine the price of 1 pound of melanzane in euros.b) If 1 euro can be converted to $1.14 U.S,
A pail has a mass of 560 grams. If 62 grams of sand and 130 milliliters of water are added to the pail, what is the mass of the pail and its contents in grams?
Peppers in Rome, Italy, cost 2 euros (€) per kilogram.a) Determine the cost per pound, in euros, for the peppers.b) If 1€ can be converted to $1.14 U.S., determine the cost, in U.S. dollars, of 1
Determine the metric unit that would best express the volume of the following.A truckload of top soil.
Determine the metric unit that would best express the volume of the following.A clothing closet.
Use the graph above and to the right, which shows the daily low and high temperatures, in degrees Celsius, for the week in the outback in Australia. Determine the following temperatures in degrees
When necessary round your answers to the nearest hundredth.The label on the bottle of Maximum Strength Pepto-Bismol indicates that each tablespoon contains 236 mg of the active ingredient bismuth
Determine the metric unit that would best express the volume of the following.Liquid in an eye dropper.
Convert each temperature as indicated. When appropriate, give your answer to the nearest tenth of a degree.-40°F = ________°C
In Exercise,(a) Estimate the area of the item in metric units.(b) Measure its dimensions in metric units and compute its area.The face of a penny.
In Exercise,(a) Estimate the area of the item in metric units.(b) Measure its dimensions in metric units and compute its area.A DVD.
In Exercise,(a) Estimate the area of the item in metric units.(b) Measure its dimensions in metric units and compute its area.The top of your kitchen table.
Change the given quantity to the indicated quantity. When appropriate, round answers to the nearest hundredth.27 ℓ = _______ qt
Use the following information about the giraffe to answer the questions. The Masai giraffe is the largest species of giraffe. The male giraffe can reach a height of about 5.8 meters and have a mass
In Exercise,(a) Estimate the area of the item in metric units.(b) Measure its dimensions in metric units and compute its area.A $20 bill.
One acre is about 0.4 hectare.a) Use this information to determine the equivalent of 18.5 acres in hectares.b) If 1 hectare is 10,000 m2, determine the area of the 18.5 acres in square meters.When
Change the given quantity to the indicated quantity. When appropriate, round answers to the nearest hundredth.52 mi = _______ km
Use the following information about the giraffe to answer the questions. The Masai giraffe is the largest species of giraffe. The male giraffe can reach a height of about 5.8 meters and have a mass
In Exercise,(a) Estimate the area of the item in metric units.(b) Measure its dimensions in metric units and compute its area.A typical photograph.
Change the given quantity to the indicated quantity. When appropriate, round answers to the nearest hundredth.100 m = _______ yd
Use the following information about the giraffe to answer the questions. The Masai giraffe is the largest species of giraffe. The male giraffe can reach a height of about 5.8 meters and have a mass
In Exercise,(a) Estimate the area of the item in metric units.(b) Measure its dimensions in metric units and compute its area.The cover of a hardbound book.
Change the given quantity to the indicated quantity. When appropriate, round answers to the nearest hundredth.37 yd = _______ m
Use the following information about the giraffe to answer the questions. The Masai giraffe is the largest species of giraffe. The male giraffe can reach a height of about 5.8 meters and have a mass
Convert each temperature as indicated. When appropriate, give your answer to the nearest tenth of a degree.37°C = _______°F
Choose the best answer.The area of the Great Smoky Mountains National Park is abouta) 2100 m2.b) 2100 cm2.c) 2100 km2.
A large tank at an aquarium holds 250 kℓ of salt water. How many gallons does it hold?When necessary round your answers to the nearest hundredth.
Change the given quantity to the indicated quantity. When appropriate, round answers to the nearest hundredth.18 cm = _______ in.
Use the following information about the giraffe to answer the questions. The Masai giraffe is the largest species of giraffe. The male giraffe can reach a height of about 5.8 meters and have a mass
Convert each temperature as indicated. When appropriate, give your answer to the nearest tenth of a degree.100°F = _______°C
Choose the best answer.The area of a slice of bread is abouta) 100 cm2.b) 100 mm2.c) 100 m2.
In the United States, the maximum volume of liquid travelers can pack in their carry-on suitcase is 3.4 fluid ounces. When travelers are flying elsewhere in the world, they can generally pack no more
Change the given quantity to the indicated quantity. When appropriate, round answers to the nearest hundredth.41 kg = _______ lb
Use the following information about the giraffe to answer the questions. The Masai giraffe is the largest species of giraffe. The male giraffe can reach a height of about 5.8 meters and have a mass
Convert each temperature as indicated. When appropriate, give your answer to the nearest tenth of a degree.0°F = _________°C
The weight restriction on a road in Mexico is 7.0 t.a) How many tons does this weight equal?b) How many pounds does this weight equal?When necessary round your answers to the nearest hundredth.
Use the following information about the giraffe to answer the questions. The Masai giraffe is the largest species of giraffe. The male giraffe can reach a height of about 5.8 meters and have a mass
The plastic bottles recycled annually at the general stores at Yellowstone National Park would reach a height of about 1,000,000 feet if stacked end to end. What is this distance ina) Meters?b)
Use the following information about the giraffe to answer the questions. The Masai giraffe is the largest species of giraffe. The male giraffe can reach a height of about 5.8 meters and have a mass
Convert each temperature as indicated. When appropriate, give your answer to the nearest tenth of a degree.-25°F = _______°C
Convert each temperature as indicated. When appropriate, give your answer to the nearest tenth of a degree.80°F = ______°C

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