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mathematics
calculus

Questions and Answers of Calculus

This bar graph shows the predicted increase in the total number of text messages per person per day in the United States. Use this graph for below Exercises.1. Find the increase in the number of
The bar graph shows the top five chocolate-consuming nations in the world. Use this table to answer below Exercises.1. Which country in the table has the least chocolate consumption per person? 2.
Write each number in standard notation 1. About 56.7 million American households own at least one dog. 2. In 2013, the restaurant industry had projected sales of $660.5 billion.
Find the circumference of each circle. Then use the approximation 3.14 for Ï€ and approximate each circumference.1.2.
Solve. For following Exercises, the solutions have been started for you. For circumference applications find the exact circumference and then use 3.14 for π to approximate the circumference 1. An
1. Recall that the face of the Google Nexus 4 (see Section 5.2) measures 5.27 inches by 2.7 inches. Find the area of the face of the Google Nexus 4. 2. The radius of Earth is approximately 3950
1. The world's longest suspension bridge is the Akashi Kaikyo Bridge in Japan. This bridge has two circular caissons, which are underwater foundations. If the diameter of a caisson is 80 meters, find
1. a. Approximate the circumference of each circleb. If the diameter of a circle is doubled, is its corresponding circumference doubled? 2. In 2011, the price of soybeans was $11.70 per bushel. How
The table shows currency exchange rates for various countries on August 26, 2013. To find the amount of foreign currency equivalent to an amount of U.S. dollars, multiply the U.S. dollar amount by
1. If it takes radio waves approximately 8.3 minutes to travel from the sun to the earth, find approximately how far it is from the sun to the earth. 2. In your own words, explain how to multiply by
1. The perimeter of a square is 180.8 centimeters. Find the length of a side.
To convert wind speeds in miles per hour to knots, divide by 1.15. Use this information and the Saffir-Simpson Hurricane Intensity chart below to answer following Exercises Round to the nearest
Divide. Round the quotients as indicated 1. Divide: 0.0453, ÷ 0.98. Round the quotient to the nearest thousandth. 2. Divide: 98.83, ÷ 3.5. Round the quotient to the nearest tenth.
1. A shipping box can hold 36 books. If 486 books must be shipped, how many boxes are needed?2. There are 2.54 centimeters in 1 inch. How many inches are there in 50 centimeters? Round to the nearest
A child is to receive a dose of 0.5 teaspoon of cough medicine every 4 hours. If the bottle contains 4 fluid ounces, answer below Exercises.1. The bottle of medicine contains how many doses for the
In 2012, there were 11,434 commercial radio stations in the United States. The most popular formats are listed in the table along with their counts. Use this graph to answer following Exercises.1.
Round each number as indicated 1. Round your decimal answer to following Exercise to the nearest hundredth. 2. Round your decimal answer to following Exercise to the nearest hundredth. 3. Round your
Write each fraction as a decimal. If necessary, round to the nearest hundredth. 1. About 9/20 of all U.S. citizens have type O blood. 2. About 14/25 of Americans use the Internet through a wireless
Find the area of each triangle or rectangle1.2.
The ten tallest buildings in the world, completed as of the start of 2012, are listed in the following table. Use this table to answer following Exercises. If necessary, round results to one decimal
For below Exercises, the grades are given for a student for a particular semester. Find the grade point average. If necessary, round the grade point average to the nearest hundredth.1.2.
For each set of numbers, find the mean, median, and mode. If necessary, round the mean to one decimal place. 1. 45, 36, 28, 46, 52 2. 4.9, 7.1, 6.8, 6.8, 5.3, 4.9 3. 0.6, 0.6, 0.8, 0.4, 0.5, 0.3,
For each set of numbers, find the mean, median, and mode. If necessary, round the mean to one decimal place. 1. 45, 36, 28, 46, 52 2. 4.9, 7.1, 6.8, 6.8, 5.3, 4.9 3. 0.6, 0.6, 0.8, 0.4, 0.5, 0.3,
During an experiment, the following times (in seconds) were recorded: 7.8, 6.9, 7.5, 4.7, 6.9, 7.0. 1. Find the median.
In a mathematics class, the following test scores were recorded for a student: 93, 85, 89, 79, 88, 91 . 1. Find the mean. Round to the nearest hundredth. 2. Find the mode.
The following pulse rates were recorded for a group of 15 students: 78, 80, 66, 68, 71, 64, 82, 71, 70, 65, 70, 75, 77, 86, 72 . 1. Find the median. 2. How many pulse rates were higher than the mean?
Find the missing numbers in each set of numbers. 1. 16, 18, _____________, _____________, _____________. The mode is 21. The median is 20. 2. Write a list of numbers for which you feel the median
Determine the place value of the number 4 in each decimal. 1. 23.45 2. 0.000345
Round each decimal to the given place value. 1. 86.905, nearest hundredth 2. 3.11526, nearest thousandth
Round each money amount to the nearest dollar. 1. $123.46 2. $3645.52
Write each decimal as a fraction or a mixed number. 1. 0.16 2. -12.023
1. Tomaso is going to fertilize his lawn, a rectangle that measures 77.3 feet by 115.9 feet. Approximate the area of the lawn by rounding each measurement to the nearest ten feet.2. Estimate the cost
Find the mean, median, and any mode(s) for each list of numbers. If needed, round answers to the nearest hundredth 1. 73, 82, 95, 68, 54 2. 952, 327, 566, 814, 327, 729
Write each fraction or mixed number as a decimal. 1. 231/100,000 2. 25 1/4
Insert , or = between each pair of numbers to make a true statement. 1. 0.49 0.43 2. 0.973 0.9730 3. -38.0027 -38.00056 4. -0.230505 0.23505
Round each decimal to the given place value. 1. 0.623, nearest tenth 2. 0.9384, nearest hundredth
Round each decimal to the given place value. 1. -42.895, nearest hundredth 2. 16.34925, nearest thousandth
Write each number in standard notation. 1. Saturn is a distance of about 887 million miles from the Sun. 2. The tail of a comet can be over 600 thousand miles long.
Write each decimal in words. 1. -23.45 2. 0.00345 3. 109.23 4. 200.000032
Find the total distance between Grove City and Jerome.
1. Find the perimeter.2. Find the perimeter.
Find the exact circumference of each circle. Then use the approximation 3.14 for Ï€ and approximate the circumference1.2.
Divide. Round the quotient to the nearest thousandth if necessary.1. There are approximately 3.28 feet in 1 meter. Find how many meters are in 24 feet to the nearest tenth of a meter2. George Strait
Write each decimal in standard form. 1. Eight and six hundredths 2. Negative five hundred three and one hundred two Thousandths Write each decimal in standard form. 3. Sixteen thousand twenty-five
Find each area.1.2.
Find the mean, median, and any mode(s) for each list of numbers. If necessary, round to the nearest tenth. 1. 13,23,33,14,6 2. 45,86,21,60,86,64,45 3. 14,000,20,000,12,000,20,000,36,000,45,000 4.
For below Exercises, the grades are given for a student for a particular semester. Find each grade point average. If necessary, round the grade point average to the nearest hundredth.1.2.
1. Write 200.0032 in words. 2. Write negative sixteen and nine hundredths in standard form. 3. Write 0.0847 as a fraction or a mixed number. 4. Write the numbers 6/7,8/9, 0.75 in order from smallest
Find the ratio described in each exercise as a fraction in simplest form.1.Use the table to find the ratio of the land area of Tuvalu to the land area of San Marino.
Write each ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form. 1. 25 to 150 2. 8.1 to 10 3. 9.61 to 7.62 4. 35 meters to 100 meters 5. $46 to $102
Find the ratio of the width to the perimeter shown of the swimming pool.
At the Hidalgo County School Board meeting one night, there were 125 women and 100 men present. Find the ratio of men to the total number of people present.
Blood contains three types of cells: red blood cells, white blood cells, and platelets. For approximately every 600 red blood cells in healthy humans, there are 40 platelets and 1 white blood cell.
1. Following Exercises have to do with disk storage. Laser Discs have a diameter of 12 centimeters and 20 centimeters. Write the ratio of the smaller diameter to the larger diameter. 2. Floppy disks
1. Find the ratio of the base to the perimeter of the triangular mainsail.2. A large order of McDonald's french fries has 500 calories. Of this total, 220 calories are from fat. Find the ratio of the
Write each rate as a fraction in simplest form. 1. 14 lab tables for 28 students 2. 8 phone lines for 36 employees 3. 4 inches of rain in 18 hours 4. 150 graduate students for 8 advisors
1. In the United States, the total number of students enrolled in public schools is 49,373,000. There are 98,817 public schools. Write a unit rate in students per school. Round to the nearest
Write each rate as a unit rate.1. 275 miles in 11 hours2. 18 signs in 6 blocks3. A bat moves its wings at a rate of 1200 wingbeats a minute. Write this rate in wingbeats per second.4. 400,000 library
1. The 2020 projected population of Louisiana is approximately 4,588,800 residents for 64 parishes. (Note: Louisiana is the only U.S. state with parishes instead of counties.)2. 5,000,000 lottery
Find each unit price. 1. $0.87 for 3 apples 2. $73.50 for 6 lawn chairs
Find each unit price and decide which is the better buy. Round to three decimal places. Assume that we are comparing different sizes of the same brand. 1. Pickles: $2.79 for 32 ounces $1.49 for 18
A grocer will refuse a shipment of tomatoes if the ratio of bruised tomatoes to the total batch is at least 1 to 10. A sample is found to contain 3 bruised tomatoes and 33 good tomatoes. Determine
Fill in the table to calculate miles per gallon.1.2.
For below Exercises, round the rates to the nearest tenth. Charlotte Leal is a grocery scanner who can scan an average of 100 items in 3.5 minutes while her cousin Leo can scan 148 items in 5.5
Write each sentence as a proportion 1.1 raisin is to 5 cornflakes as 8 raisins is to 40 cornflakes. 2. 4 hit songs is to 16 releases as 1 hit song is to 4 releases. 3. 12 errors is to 8 pages as 1.5
Write each sentence as a proportion. Then determine whether the proportion is a true proportion. 1. Six is to eight as nine is to twelve. 2. Five is to three as seven is to five. 3. One and eight
A human-factors expert recommends that there be at least 9 square feet of floor space in a college classroom for every student in the class. Due to a lack of space, a university converts a 21-by-
A Honda Civic Hybrid averages 627 miles on a 12.3-gallon tank of gas. Ramona Hatch has enough money to put 6.9 gallons of gas in her Honda Civic Hybrid. She is planning on driving home from college
The scale on an Italian map states that 1 centimeter corresponds to 30 kilometers. On the map, a small Italian village is located 0.4 centimeter from the Mediterranean Sea. Find the actual distance.
A bag of Scott fertilizer covers 3000 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a square lawn measuring 160 feet on each side.
A Cubs baseball player gets 3 hits every 8 times at bat. At this rate, if he got 12 hits, find how many times he batted.
Solve. For below Exercises, the solutions have been started for you. An NBA basketball player averages 45 baskets for every 100 attempts.1. If he made 225 baskets, how many did he attempt?
A survey reveals that 2 out of 3 people prefer Coke to Pepsi. In a college class of 36 students, find how many students are likely to prefer Pepsi.
A self-tanning lotion advertises that a 3-oz bottle will provide four applications. The Community College thespians need fake tans for a play they are doing. If the play has a cast of 35, how many
The school's computer lab goes through 5 reams of printer paper every 3 weeks. How many cases of printer paper should be purchased to last the entire semester of 15 weeks? Round up to the next case.
A recipe for pancakes calls for 2 cups flour and 1 1/2 cups milk to make a serving for four people. 1. The swim team has a weekly breakfast after early practice. How much flour will it take to make
In 2012, approximately $20 billion of the $50 billion Americans spent on their pets was spent on pet food. Petsmart had $6,758,237 in net sales that year. How much of Petsmart's net sales would you
The length of the Statue of Liberty's index finger is 8 feet while the height to the top of the head is about 111 feet. Suppose your measurements are proportionally the same as this statue's and your
There are 76 milligrams of cholesterol in a 3-ounce serving of skinless chicken. How much cholesterol is in 8 ounces of chicken?
Two out of every 5 men blame their poor eating habits on too much fast food. In a room of 40 men, how many would you expect to blame their not eating well on fast food?
It takes a word processor 30 minutes to word process and spell check 4 pages. 1. Find how many pages she can word process and spell check in 4.5 hours. 2. If the school accepted 10 students, find how
Currently in the American population of people aged 65 years old and older, there are approximately 130 women for every 100 men. In a nursing home with 280 male residents over the age of 65, how many
One pound of firmly packed brown sugar yields 2 1/4 cups. How many pounds of brown sugar will be required in a recipe that calls for 6 cups of firmly packed brown sugar?
When making homemade ice cream in a hand-cranked freezer, the tub containing the ice cream mix is surrounded by a brine (water/salt) solution. To freeze the ice cream mix rapidly so that smooth and
When making homemade ice cream in a hand-cranked freezer, the tub containing the ice cream mix is surrounded by a brine (water/salt) solution. To freeze the ice cream mix rapidly so that smooth and
When making homemade ice cream in a hand-cranked freezer, the tub containing the ice cream mix is surrounded by a brine (water/salt) solution. To freeze the ice cream mix rapidly so that smooth and
If a patient needs 33 mg of medicine, how many ml do you administer?
A solution strength of 8 mg of medicine in 1 ml of solution is available. If a patient needs 6 mg of medicine, how many ml do you administer?
A favorite chocolate chip cookie recipe calls for2 1/2 cups of flour to make 2 dozen cookies. Estimate the amount of flour needed to make 50 cookies. Explain your calculation.
Find the length n needed to lift the weight below.
Find each unit price and decide which is the better buy. Round to 3 decimal places. Assume that we are comparing different sizes of the same brand.1. Taco sauce: 8 ounces for $0.99 or 12 ounces for
Write each sentence as a proportion. 1. 24 uniforms is to 8 players as 3 uniforms is to 1 player. 2. 12 tires is to 3 cars as 4 tires is to 1 car
The ratio of a quarterback's completed passes to attempted passes is 3 to 7. 1. If he attempted 32 passes, find how many passes he completed. Round to the nearest whole pass. 2. If he completed 15
One bag of pesticide covers 4000 square feet of garden. 1. Find how many bags of pesticide should be purchased to cover a rectangular garden that is 180 feet by 175 feet. 2. Find how many bags of
On a road map of Texas, 0.75 inch represents 80 miles. 1. Find the distance from Houston to Corpus Christi if the distance on the map is about 2 inches. 2. The distance from El Paso to Dallas is 1025
Find the unknown length in each given right triangle. If necessary, round to the nearest tenth. 1. leg = 12, leg = 5 2. leg = 20, leg = 21 3. leg = 9, hypotenuse = 14 4. leg = 66, hypotenuse = 86
1. Find the length, to the nearest hundredth, of the diagonal of a square that has a side of length 20 centimeters.2. Find the height of the building rounded to the nearest tenth.
Use the garden shown for following Exercises. Write each ratio as a fraction in simplest form.1. Find the ratio of the garden's length (longer side) to the garden's width (shorter side). 2. Find the
Given that the pairs of triangles are similar, find the unknown length x.1.2.
1. A housepainter needs to estimate the height of a condominium. He estimates the length of hisshadow to be 7 feet long and the length of the building's shadow to be 42 feet long. Find the

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