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mathematics
calculus
Questions and Answers of
Calculus
The following pictograph shows the number of acres devoted to wheat production in selected states. Use this graph to answer below Exercises.1. Which of the states shown plant the least amount of
The following horizontal bar graph shows the approximate 2012 population of the world's largest cities (including their suburbs). Use this graph to answer below Exercises.1. Name the cities whose
Use the information given to draw a vertical bar graph. Clearly label the bars.2.
The following histogram shows the number of miles that each adult, from a survey of 100 adults, drives per week. Use this histogram to answer in below Exercises.1. How many adults drive 200-249 miles
The following histogram shows the ages of householders for the year 2010. Use this histogram to answer in following Exercises.1. The least number of householders were in what age range? 2. How many
The following list shows the golf scores for an amateur golfer. Use this list to complete the frequency distribution table to the right.1. 2.
Twenty-five people in a survey were asked to give their current checking account balances. Use the balances shown in the following list to complete the frequency distribution table to the
Beach Soccer World Cup is now held every two years. The following line graph shows the World Cup goals per game average for beach soccer during the years shown. Use this graph to answer in following
The following double line graph shows temperature highs and lows for a week. Use this graph to answer in following Exercises.1. What was the low temperature reading on Thursday? 2. What day of the
The total amount of land from the continents is approximately 57,000,000 square miles. Use the graph to find the area of the continents given in Exercises 11 through 14. 1. South America 2. Europe
The following circle graph shows the percent of the types of books available at Midway Memorial Library. Use this graph for Exercises 15 through 24.1. What percent of books are nonfiction or
The following circle graph is a result of surveying 700 college students. They were asked where they live while attending college. Use this graph to answer Exercises 1 through 6. Write all ratios as
If this library has 125,600 books, find how many books are in each category given in Exercises 19 through 24. 1. Reference 2. Adult's fiction 3. Nonfiction or other
Fill in the table. Round to the nearest degree. Then draw a circle graph to represent the information given in each table. (Remember: The total of "Degrees in Sector" column should equal 360° or
Write the prime factorization of each number. 1. 25 2. 16 3. 105
These oceans together make up 264,489,800 square kilometers of Earth's surface. Find the square kilometers for each ocean. 1. Atlantic Ocean 2. Arctic Ocean
The following circle graph summarizes the results of online spending in America. Let's use these results to make predictions about the online spending behavior of a community of 2800 Internet users
The following circle graph shows the percent of the land area of the continents of Earth. Use this graph for below Exercises.1. Which continent is the smallest? 2. What percent of the land on Earth
Use the rectangular coordinate system below each exercise to plot the points corresponding to the ordered pairs.1. (5, 2), (3, -4), -( -1, -1), (0, -1), (4, 0), (-2, 4)2. (5, 1/2),(-3 1/2,0) ,
Use the rectangular coordinate system below each exercise to plot the three ordered pair solutions of the given equation.1. 3x + y = 5; (1, 2), (0, 5), (2, -1)2. y = -3x; (1, -3), (2, -6), ( -1,
Recall that the axes divide the plane into four quadrants as shown. For following Exercises if a and b are both positive numbers, determine whether each statement is true or false.1. (-a, -b) lies in
Plot the points A(4, 3), B( -2, 3), C( -2, -1), and D(4, -1) on a rectangular coordinate system. 1. Find the length and the width of the figure. 2. Find the area of the figure.
Find the x- and y-coordinates of each labeled point.
Graph each equation1. y = 12. x = -7 3. y = 0
Graph each equation1. x = y2. x =1 3. 3x - y = 3
Graph each equation.1. x + y =22. y - x = 6
Graph each equation.1. y = 72. y = x - 1 3. x = 5 - y
Graph each equation.1. y + 4 =02. y = 1/4x 3. y = -1/3x
Graph each equation.1. y = -2x + 32. 5x - 2y = 10 3. y = 5.5
Graph each equation.1. 4x + 2y = 162. x = -1/2 3. x = 1/3y -2
Graph: 15x - 18y = 270To do so, complete the table and find at least 2 additional ordered pair solutions.
The graph below is called a double line graph (or a double broken-line graph.) Use this graph for below Exercises.1. Overall, is the number of BEVs sold in the United States increasing or
Graph each equation.1. x = 2y2. y = 2x + 5
Use this double line graph to answer in below Exercises.1. In which of the model years shown were truck sales at a maximum? 2. Estimate the number of passenger cars sold in 2011. 3. In which three
If a single die is tossed once, find the probability of each event. 1. A 9 2. A 2 or a 3 3. An odd number 4. A number less than 6
Draw a tree diagram for each experiment. Then use the diagram to find the number of possible outcomes.1. Choosing a number (1 or 2) and then a vowel (a, e, i, o, u) 2. Spinning Spinner B once 3.
Suppose the spinner shown is spun once. Find the probability of each event.1. The result of the spin is 3. 2. The result of the spin not 3. 3. The result of the spin is an even number.
If a single choice is made from the bag of marbles shown, find the probability of each event.1. A blue marble is chosen. 2. A green marble is chosen. 3. A blue or yellow marble is chosen.
A new drug is being tested that is supposed to lower blood pressure. This drug was given to 200 people and the results are shown below.1. If a person is testing this drug, what is the probability
Recall that a deck of cards contains 52 cards. These cards consist of four suits (hearts, spades, clubs, and diamonds) of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and
Two dice are tossed. Find the probability of each sum of the dice. (Hint: Draw a tree diagram of the possibilities of two tosses of a die, and then find the sum of the numbers on each branch.) 1. A
The following pictograph shows the number of new homes constructed from July 2012 to July 2013, by region. Use this graph to below answer Exercises.1. How many new homes were constructed in the West
The following line graph shows the total number of Olympic medals awarded during the Summer Olympics since 1992. Use this graph to answer below Exercises.1. Approximate the number of medals awarded
The following line graph shows the total number of Olympic medals awarded during the Summer Olympics since 1992. Use this graph to answer below Exercises.1. Approximate the number of medals awarded
The following histogram shows the hours worked per week by the employees of Southern Star Furniture. Use this histogram to answer below Exercises.1. How many employees work 41-45 hours per week? 2.
Following is a list of monthly record high temperatures for New Orleans, Louisiana. Use this list to complete the frequency distribution table below.1. 2. 3. 4. Use the table from following Exercises
The following circle graph shows a family's $4000 monthly budget. Use this graph to answer following Exercises. Write all ratios as fractions in simplest form.1. What is the largest budget item? 2.
The following circle graph shows a family's $4000 monthly budget. Use this graph to answer following Exercises. Write all ratios as fractions in simplest form.1. How much money is budgeted for
In 2012, there were approximately 62 buildings 200 meters or taller completed in the world. The following circle graph shows the percent of these buildings by area. Use this graph to answer following
Complete and graph the ordered pair solutions of each given equation.1. x = -6y; (0, ), ( , -1), ( -6, )2. y = 3x - 2; (0, ), (-1, ), (2, ) 3. x + y = -4; (-1, ), ( , 0),(-5, )
Complete and graph the ordered pair solutions of each given equation.1. x - y = 3; (4, ),(0, ),( ,3)2. y = 3x; (1, ),(-2, ),( ,0) 3. x = y + 6; (1, ),(6, ),( , -4)
The following pictograph shows the number of new homes constructed from July 2012 to July 2013, by region. Use this graph to below answer Exercises.1. Which region had the fewest new homes
Graph each linear equation.1. x = -5
Graph each linear equation1. x - y = 112. y = 4x -2 3. y = 5x
Graph each linear equation1. x = -2y2. x + y = -1
Graph each linear equation.1. 2x - 3y = 122. x = 1/2 y
Draw a tree diagram for each experiment. Then use the diagram to determine the number of outcomes.1. Tossing a coin and then spinning Spinner 1 2. Spinning spinner 2 and then tossing a coin 3.
Find the probability of each event.1. Rolling a 4 on a die 2. Rolling a 3 on a die 3. Spinning a 4 on Spinner 1
Find the probability of each event.1. Spinning a 3 on Spinner 1 2. Spinning either a 1, 3, or 5 on Spinner 1 3. Spinning either a 2 or a 4 on Spinner 1
Given a bag containing 2 red marbles, 2 blue marbles, 3 yellow marbles, and 1 green marble, find the following: 1. The probability of choosing a blue marble from the bag 2. The probability of
Graph each equation.1. x = -42. y = 3
Graph each equation.1. x - 2y = 82. 2x + y = 6
The following bar graph shows the percent of persons age 25 or over who completed four or more years of college. Use this graph to answer below Exercises.1. Approximate the percent of persons who had
Graph each equation.1. x = y + 32. x + y = -4
Graph each equation.1. y = 3/4x
List two other ways to name each angle.1. W 2. y
Classify each angle as acute, right, obtuse, or straight.1.2. 3. 4.
Identify each figure as a line, a ray, a line segment, or an angle. Then name the figure using the given points.1.2.
Find each complementary or supplementary angle as indicated.1. Find the complement of a 77o angle.2. Find the supplement of a 77o angle.3. Find the complement of a 22oangle.4. Find the supplement of
Identify the pairs of supplementary angles.
Find the measure of x in each figure.1.2.
Find the measures of angles x, y, and z in each figure.1.
Find the measures of angles x, y, and z in each figure.1. m || n2. m || n
Find two other ways of naming each angle.1. y 2. ABE (just name one other way)
Find the measure of each angle in the figure above. 1. ∠EBD 2. ∠CBA 3. ∠EBC 4. ∠ABE
Identify each figure as a line, a ray, a line segment, or an angle. Then name the figure using the given points.1.2.
Use this North Pole overhead view of the three sites of the Deep Space Network to answer following Exercises.1. If the three sites of the Deep Space Network (red dots shown) are about the same number
Answer true or false for below Exercises. If false, explain why.1. It is possible to find the complement of a 120° angle.2. The supplement of a 5° angle is a 175° angle.3. Below is a
Find the perimeter of each regular polygon. (The sides of a regular polygon have the same length.)1.2.
1. A triangle has sides of length 8 inches, 12 inches, and 10 inches. Find its perimeter.2. A baseball diamond has 4 sides, with each side length mound 90 feet. If a baseball player hits a home run,
Find the perimeter of each figure.1.2. 3. 4.
1. Find how much fencing is needed to enclose a rectangular garden 70 feet by 21 feet. 2. If the fencing in Exercise 20 costs $2 per foot, find the total cost of the fencing. 3. A regular pentagon
1. Find the perimeter of a square ceramic tile with a side of length 3 inches.2. A rectangular house measures 85 feet by 70 feet. Find the cost of installing gutters around the house if the cost is
Find the perimeter of each figure.1.2. 3.
Find the circumference of each circle. Give the exact circumference and then an approximation. Use Ï 3.14.1.2. 3.
1. The largest round barn in the world is located at the Marshfield Fairgrounds in Wisconsin. The barn has a diameter of 150 ft. What is the circumference of the barn?2. The Pearl of Lao-tze has a
Find the distance around each figure. For circles, give the exact circumference and then an approximation. Use Ï 3.14.1.2. 3. 4.
Choose the figure that has the greater distance round.1. a. A circle with diameter 7 inchesb. A square with side length 7 inches2. a. Find the circumference of each circle. Approximate the
Find the perimeter. Round your results to the nearest tenth.1.2.
Find the area of each geometric figure. If the figure is a circle, give an exact area and then use the given approximation for p to approximate the area.1.2.
Find the area of each geometric figure. If the figure is a circle, give an exact area and then use the given approximation for p to approximate the area.1.2.
Find the area of each geometric figure. If the figure is a circle, give an exact area and then use the given approximation for p to approximate the area.1.2.
Find the area of each geometric figure. If the figure is a circle, give an exact area and then use the given approximation for p to approximate the area.1.2.
Find the area of each geometric figure. If the figure is a circle, give an exact area and then use the given approximation for p to approximate the area.1.2. 3. Use 3.14 for Ï.
Find the volume and surface area of each solid.. For formulas containing p, give an exact answer and then approximate using 22/7for Ï.1.2.
Find the volume and surface area of each solid.. For formulas containing p, give an exact answer and then approximate using 22/7for Ï.1. For surface area, use Ï = 3.14 and round
Find the volume and surface area of each solid.. For formulas containing p, give an exact answer and then approximate using 22/7for Ï.1. Find the volume only.2. Find the volume only.
1. A water storage tank is in the shape of a cone with the pointed end down. If the radius is 14 ft and the depth of the tank is 15 ft, approximate the volume of the tank in cubic feet. Use 22/7 for
1. A birdbath is made in the shape of a hemisphere (half-sphere). If its radius is 10 inches, approximate its volume. Use 22/7 for Ï.2. For Gerald Gomez to determine how much grass seed he
1. A tank is in the shape of a cylinder 8 feet tall and 3 feet in radius. Find the exact volume and surface area of the tank.2. The entire side of the building shaded in the drawing is to be bricked.
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