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mathematics
calculus

Questions and Answers of Calculus

1. A certain compact disc (CD) can hold 700 megabytes (MB) of information. How many MBs can 17 discs hold?2. An average cow eats 3 pounds of grain per day. Find how much grain a cow eats in a year.
1. One ounce of Planters® Dry Roasted Peanuts has 13 grams of fat. How many grams of fat are in 16 ounces?2. The student activities group at North Shore Community College is planning a trip to
Perform each indicated operation. 1. 126 ...- 8 2. 47 + 26 + 10 + 231 + 50 3. Find the product of 19 and 4. 4. Find the total of 14 and 9.
Solve. 1. Rewrite 11 + 11 + 11 + 11 + 11 + 11 using multiplication. 2. Rewrite 4 # 5 as repeated addition.
1. During the NBA's 2012-2013 regular season, Carmelo Anthony of the New York Knicks scored 157 three-point field goals, 512 two-point field goals, and 425 free throws (worth one point each). How
Match each word phrase to the correct translation. (Not all letter choices will be used.) See the Concept Check in this section. 1. The quotient of 200 and 20 a. 20 ÷ 200 b. 200 ÷ 20 c. 40 ÷ 8
The following table shows the top five leading U.S. television advertisers during the first half of 2013 and the amount of money spent that half-year on advertising. Use this table to answer in below
In Example 12 in this section, we found that the average of 75, 96, 81, and 88 is 85. Use this information to answer in below Exercise. 1. If the number 96 is removed from the list of numbers, does
Find each quotient.1. 45 / 92. 12 / 03. 6 ÷ 24. 7 ÷ 05. 18 ÷ 3
Find each quotient. 1. 72 ÷ 92. 24 ÷ 33. 0 ÷ 44. 38 ÷ 15 49 / 49
Divide and then check by multiplying.1. 5√852. 8√6403.4√21044. 0 / 305. 56 ÷ 8
Divide and then check by multiplying.1. 7√4262. 3√12403. 167 ÷ 34. 3333 ÷ 4
Divide and then check by multiplying.1. 23√7362. 42√20163. 44√19384. 7354 ÷ 125. 5670 ÷ 14
Divide and then check by multiplying.1. 2505 ÷ 642. 5781 / 1233. 23,092 / 2404. 40,853 ÷ 2035. 164,592 ÷ 543
Divide.1. 8√1042. 5√30173. 50√85,7474. 214√650,560
Solve.1. Find the quotient of 94 and 7.2. Find 116 divided by 32.3. Find the quotient of 78 and 5.
1. Kathy Gomez teaches Spanish lessons for $85 per student for a 5-week session. From one group of students, she collects $4930. Find how many students are in the group. 2. Twenty-one people pooled
1. Professor Lopez has a piece of rope 185 feet long that she wants to cut into pieces for an experiment in her physics class. Each piece of rope is to be 8 feet long. Determine whether she has
Find the average of each list of numbers. 1. 37, 26, 15, 29, 51, 22 2. 121, 200, 185, 176, 163 3. 92, 96, 90, 85, 92, 79
The normal monthly temperatures in degrees Fahrenheit for Salt Lake City, Utah, are given in the graph. Use this graph to answer in below Exercise.Find the average temperature for October, November,
Perform each indicated operation. Watch the operation symbol. 1. 23 + 407 + 92 + 7011 2. 712 × 54 3. 712 ..- 54 4. 0 / 23 5. 304 ÷ 31
Evaluate. 1. 622. 633. 354. 1125. 81
Write using exponential notation.1. 5 · 5 · 5 · 52. 6 · 6 · 6 · 6 · 6 · 6 · 63. 10 · 10 · 104. 4 · 4 · 3 · 3 · 35. 7 · 4 · 4 · 4
Evaluate.1. 542. 333. 434. 435. 112
Evaluate.1. 1032. 1413. 454. 5 · 325. 2 · 72
Simplify.1. 24 + 6 · 32. 100 ÷ 10 · 5 + 43. 42 ÷ 7 - 64. 32 + 8/35. 3 · 4 + 9 · 1
Simplify. 1. 6 + 9 ÷ 3 / 322. 62 · (10 - 8)3. 53 ÷ (10 + 152) + 92 + 334. 40 + 8 / 52 - 325. (19 - 7) · (12 + 18)
Simplify.1.2. 18 - 7 Ã· 03. 23 Â· 3 - (100 Ã· 10)4. [40 - (8 - 2)] - 255. (18 Ã· 6) + [(3 + 5) Â· 2]
Simplify. 1. 35 Ã· [32 + (9 - 7) - 22 ] + 10 Â· 32.3.4. 10 Ã· 2 + 33 Â· 2 - 205. [15 Ã· (11 - 6) + 22] + (5 - 1)2
Find the area and perimeter of each square.1.2.
Answer the following true or false. See the Concept Check in this section. 1. "Seven squared" is the same as 72. 2. 49 is the same as 4 · 9.
Insert grouping symbols (parentheses) so that each given expression evaluates to the given number. 1. 2 + 3 · 6 - 2; evaluates to 20 2. 24 ÷ 3 · 2+ 2 · 5; evaluates to 15 3. The building
Complete the table. The first row has been done for you. 1.2.3.
Evaluate each following expression for x = 2, y = 5, and z = 3. 1. 3yz2 + 12. 3 + (2y - 4)3. x4 - ( y - ɀ)4. 8yz / 155. 6 + 3x / z
Evaluate each following expression for x = 2, y = 5, and z = 3.1. 2z + 6 /32. 70 / 2y - 15 / z3. 3x+ + 2x - 54. (4y + 3z)25. (xy - 5)4
Evaluate each following expression for x = 2, y = 5, and z = 3.1. 3x(y + z)2. xz(2y + x - z)3. 6z + 2y / 44. The expression 5 (F - 32) / 9 gives the equivalent degrees Celsius for F degrees
Decide whether the given number is a solution of the given equation. See Example 6. 1. Is 9 a solution of n - 2 = 7? 2. Is 50 a solution of 250 = 5n? 3. Is 8 a solution of 11n + 3 = 91? 4. Is 0 a
Determine which numbers in each set are solutions to the corresponding equations. 1. n + 3 = 16; {9, 11, 13} 2. 3n = 45; {15, 30, 45} 3. 4n - 14 = 6; { 0, 5,10} 4. 6( n + 2 ) = 23; { 1, 3, 5} 5. 9x
Write each phrase as a variable expression. Use x to represent "a number." See Example 8. 1. The sum of three and a number 2. The difference of a number and five hundred 3. A number less thirty 4. A
Write each phrase as a variable expression. Use x to represent "a number." See Example 8. 1. The quotient of twenty and a number, decreased by three 2. The difference of twice a number, and four 3.
Evaluate each following expression for x = 2, y = 5, and z = 3.1. 8 + 3ɀ2. 4yz + 2x3. x + 5y - ɀ4. 2y + 5z5. y3 - z
For Exercises 89 through 92, use a calculator to evaluate each expression for x = 23 and y = 72.1. 90. 2(x + y)22. 16y - 20x + x33. If x is a whole number, which expression is the smallest: 2x, 5x,
Represent each quantity by an integer. See Example 1.1. A scuba diver is swimming 25 feet below the surface of the water in the Gulf of Mexico.2. The lowest elevation in the United States is found at
Represent each quantity by an integer. See Example 1 1. Rite Aid had a loss of $555 million for the fiscal year 2011. 2. The temperature on one January day in Minneapolis was 10° below 0° Celsius.
Answer true or false for below Exercises.1. The absolute value of a number is always a positive number.2. Zero is always less than a positive number.3. Given the number line is it true that b 6
Graph each integer in the list on the same number line. See Example 2.1. 7, 5, 2, 02. 3, -3, 5, -5, 6 3. 0, 3, 10, 11 4. 0, -7, 3, -6
Fill in the chart below1.2.
The bar graph shows the elevations of selected lakes.1. Which lake has an elevation at sea level? 2. Which lake shown has the second-lowest elevation?
The following bar graph represents the boiling temperature, the temperature at which a substance changes from liquid to gas at standard atmospheric pressure. Use this graph to answer below
Add using a number line.1. -6 + (-5)2. 10 + (-3)3. 9 + (-4)
Evaluate x + y for the given replacement values. 1. x = 7 and y = -11
Evaluate 3x + y for the given replacement values. 1. 62 x = 7 and y = -112. x = 13 and y = -17
Translate each phrase; then simplify. See Example 18. 1. Find the sum of -30 and 15. 2. Find the sum of - 49, -2, and 40.
Suppose a diver dives from the surface to 248 meters below the surface and then swims up 8 meters, down 16 meters, down another 28 meters, and then up 32 meters. Use positive and negative numbers to
In golf, it is possible to have positive and negative scores. The following table shows the results of the eighteen-hole Round 2 for Jim Furyk and Jason Dufner at the 2013 PGA Championship in
The following bar graph shows the yearly net income for Apple, Inc. Net income is one indication of a company's health. It measures revenue (money taken in) minus cost (money spent). Use this graph
A small business reports the following net incomes. Use this table to answer Exercises 79 and 80.1. Find the sum of the net incomes for all four years shown. 2. The all-time record low temperature
For below Exercises determine whether each statement is true or false.1. The sum of two positive numbers is always a positive number.2. The sum of zero and a negative number is always a negative
Determine whether each statement is true or false.1. | -2 -(-6)|= |-2| - |-6|
Evaluate 2x - y for the given replacement values.1. x = 8 and y = -102. x = 14 and y -12
The bar graph shows the monthly average temperatures in Fairbanks, Alaska. Notice that a negative temperatures is illustrated by a bar below the horizontal line representing 0°F1. Find the
1. The coldest temperature ever recorded in the United States was -80°F in Alaska. The warmest temperature ever recorded was 134°F in California. How many degrees warmer is 134°F than -80°F? 2. A
Some places on Earth lie below sea level, which is the average level of the surface of the oceans.1. Find the difference in elevation between the Danakil and Turfan Depressions. 2. Find the
Find the difference in elevation for the lakes listed.1. Great Bear Lake and Caspian Sea 2. Lake Eyre and Caspian Sea
1. The average daytime surface temperature of Mercury is 845°F, while the average daytime surface temperature of Jupiter is -162°F. Find the difference in temperatures. 2. In 2012, the United
Translate each phrase to an algebraic expression. Use "x" to 1. The difference of -3 and a number. 2. Add a number and -36.
Translate each phrase; then simplify. See Example 17. 1. Find the quotient of -63 and -3. 2. Find the product of -49 and 5.
Translate each phrase to an expression. Use x to represent "a number." 1. The quotient of -8 and a number 2. The sum of a number and -12 3. The difference of a number and -10 4. Multiply a number
1. An investor lost $400 on each of seven consecutive days in the stock market. Represent his total loss as a product of signed numbers and find his total loss. 2. A weather forecaster predicts that
1. The melting point of rubidium is -1 times the melting point of mercury. Find the melting point of rubidium.2. The melting point of strontium is -11 times the melting point of radon. Find the
1. For the first quarter of 2013, Chrysler Group LLC, maker of Jeep vehicles, posted a loss of about 30,000 Jeep Liberty shipments because they had stopped producing the vehicle in 2012. If this
For below Exercises, see the first Concept Check in this section. What is the sign of the product of ten negative numbers?
Scores in golf can be 0 (also called par), a positive integer (also called above par), or a negative integer (also called below par). The bar graph shows final scores of selected golfers from a 2013
Find the perimeter of each figure. See Section 1.3.1.2.
Insert parentheses where needed so that each expression evaluates to the given number. 1. 7 · 3 - 4 · 2; evaluates to 34 2. 2 ·8 ÷ - 20; evaluates to -36
Determine whether the given number is a solution of the given equation. See Example 1. 1. Is 9 a solution of y - 16 = -7? 2. Is -7 a solution of a + 23 = -16? 3. Is -6 a solution of -3k = 12-5? 4. Is
Translate each phrase to an algebraic expression. Use x to represent "a number." See Section 1.8. 1. A number increased by -5 2. The quotient of a number and -20 3. -32 multiplied by a number 4.
Represent each quantity by an integer.1. A gold miner is working 1572 feet down in a mine.2. Mount Hood, in Oregon, has an elevation of 11,239 feet.
1. Wednesday's lowest temperature was -18°C. The cold weather continued and by Friday, it had dropped another 9°C. What was the temperature on Friday? 2. The temperature at noon on a Monday in
Find the opposite of each integer. 1. -18 2. 42
Answer true or false for each statement. 1. If a < b, then a must be a negative number. 2. The absolute value of an integer is always 0 or a positive number. 3. A negative number is always less than
Graph each integer in the list on the same number line.1. -3, -5, 0, 72. -6, -1, 0, 5
Elevator shafts in some buildings extend not only above ground, but in many cases below ground to accommodate basements, underground parking, etc. The bar graph shows four such elevators and their
1. The temperature at 5 a.m. on a day in January was -15° Celsius. By 6 a.m. the temperature had fallen 5 degrees. Use a signed number to represent the temperature at 6 a.m. 2. A diver starts out at
1. If the elevation of Lake Superior is 600 feet above sea level and the elevation of the Caspian Sea is 92 feet below sea level, find the difference of the elevations.2. Josh Weidner has $142 in his
1. A football team lost 5 yards on each of two consecutive plays. Represent the total loss by a product of integers, and find the product. 2. A horse race bettor lost $50 on each of four consecutive
Write the expression that represents the area of each composite figure. Then simplify to find the total area.
Simplify the following 761268x + 5922 - 2960
Find the perimeter of each figure. See Example 14.1.2. 3.
Find the area of each rectangle. See Example 15.1.2. 3.
1. Find the area of a rectangular movie screen that is 50 feet long and 40 feet high. 2. How much fencing will a rancher need for a rectangular cattle lot that measures 80 feet by 120 feet? 3. Find
Write each phrase as a variable expression. Use x to represent "a number." 1. Negative eight plus a number 2. A number subtracted from twelve 3. Twice a number 4. The quotient of negative six and
Write each phrase as a variable expression. Use x to represent "a number."1. Twice a number, decreased by thirty2. The product of 7 and a number, added to 1003. The difference of -9 times a number,
This horizontal bar graph shows the top ten states for traveler spending in a recent year. Use this graph to answer in below Exercises. See Sections 1.2 and 1.3.1. For the states shown, which states
Write each sentence as an equation. See Example 5. 1. The difference of -30 and 10 equals -40 2. The quotient of -16 and 2 yields -8. 3. Negative 2 times the sum of 3 and 12 is -30. 4. Seventeen
The following bar graph shows the number of U.S. federal individual income tax returns that are filed electronically during the years shown. Electronically filed returns include Telefile and online
Using the Steps for Solving an Equation, choose the next operation for solving the given equation 1. 3x + 2x = -x - 4 a. Add 4 to both sides. b. Subtract 2x from both sides. c. Add 3x and 2x. 2. 9 -
Translate each sentence into an equation. Then solve the equation. See Example 2. 1. Twice a number, subtracted from 60, is 20. Find the number. 2. The sum of 7, 9, and a number is 40. Find the
Write each sentence as an equation. Use x to represent "a number." See Example 1. 1. Five subtracted from a number equals 10. 2. The quotient of 8 and a number is -2. 3. Two added to twice a number
Translate each sentence into an equation. Then solve the equation. See Example 2. 1. Seven times the difference of some number and 1 gives the quotient of 70 and 10. Find the number. 2. Twice a

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