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mathematics
contemporary mathematics
Contemporary Mathematics 1st Edition OpenStax - Solutions
\(\left(3.45 \times 10^{7}\right) \times\left(2.81 \times 10^{-3}\right)\)Calculate the following.
\(\left(3.1 \times 10^{8}\right) \times\left(2.7 \times 10^{-5}\right)\)Calculate the following.
\(\left(6.32 \times 10^{-4}\right) \times\left(1.31 \times 10^{-5}\right)\)Calculate the following.
\(\left(3.91 \times 10^{6}\right) \times\left(8.13 \times 10^{2}\right)\)Calculate the following.
\(\left(7.12 \times 10^{-11}\right) \times\left(6.61 \times 10^{-5}\right)\)Calculate the following.
\(\left(3.45 \times 10^{4}\right) \div\left(1.5 \times 10^{6}\right)\)Calculate the following.
\(\left(1.4 \times 10^{3}\right) \div\left(5.6 \times 10^{-5}\right)\)Calculate the following.
When stretched out, a strand of human DNA is, on average, \(2.066 \times 10^{2} \mathrm{~cm}\). One centimeter, or \(1 \mathrm{~cm}\), is \(1 \times 10^{-5} \mathrm{~km}\). Determine the average length of a strand of human DNA in kilometers.Apply your understanding of scientific notation to
One approximation of the average number of cells in the human body is \(3 \times 10^{13}\) cells ( 30 trillion!!!). If the DNA of each cell were stretched out and laid end to end, what would be the total length of the DNA in km? Use your answer from Exercise 51 for the length, in kilometers, of
The equatorial circumference of Earth is approximately \(4.007 \times 10^{4} \mathrm{~km}\). Use the answer from Exercise 52 to determine the number of times that the stretched out human DNA would encircle Earth.Apply your understanding of scientific notation to real-world applications.Data from
The average stride length of a \(1.651 \mathrm{~m}\) tall woman is \(6.6 \times 10^{-1}\) meters. If such a person could walk from Buffalo, NY, to Buenos Aires, Argentina, in a straight line, how many steps would that person need to take? See Exercise 18 for the distance from Buffalo, NY, to Buenos
Determine if 54 is divisible by 9 .
Using divisibility rules, determine if 45,730 is divisible by 5 .
Using divisibility rules, determine if 342,887 is divisible by 9 .
Can 43,568 pieces of mail be separated into 6 bins with the same number of pieces of mail per bin?
Using divisibility rules, determine if 87,762 is divisible by 10 .
Using divisibility rules, determine if 43,568 is divisible by 4 .
Determine if 1,429 is prime or composite.
Determine if 859 is prime or composite.
Determine if \(5,067,322\) is prime or composite.
Determine if 1,477 is prime.
Find the prime factorization of 90 .
Find the prime factorization of 85.
Find the prime factorization of 280.
Find the number of different prime factors of 180 .
Find the greatest common divisor of 270 and 99 by listing all divisors of each number.
Using prime factorization, determine the greatest common divisor of 36 and 128.
Using prime factorization, determine the greatest common divisor of 120 and 200.
You are designing a brick patio made of square bricks \(5 \mathrm{~cm}\) thick, but you need to determine the width and length of those bricks. The patio will be \(400 \mathrm{~cm}\) by \(540 \mathrm{~cm}\). What are the largest size square bricks that can be used so that you do not need to cut any
There are three gym classes. The number of students in the classes is 21,35 , and 28 . What is the largest team size that can be formed if teams from every class must have the same number of students?
Use lists to find the LCM of 12 and 15.
Use prime factorization to find the LCM of 20 and 28.
Use the prime factorization method to find the LCM of 150,240 , and 462 .
Find the LCM of 18,24 , and 40 using lists and prime factorization.
The sun, Venus, and Jupiter all line up on a given day. Venus orbits the sun once every 255 days. Jupiter orbits the sun every 4,330 days (we'll ignore the decimal values of days for each orbit). How many days will it be until they line up again?
In an Internet giveaway, every 130 th person who submits a survey receives \(\$ 250\), and every 900 th person receives a free cell phone. How many submissions must be received for the first person to receive both prizes?
Which of the following are integers?1. -214 2. \(38 / 11\)3. \(\sqrt{90}\)4. \(\sqrt{121}\)5. \(420 / 35\)
Graph the following numbers on the number line:1. -10 2. 4 3. 0
Determine which of -38 and 27 is larger using a number line, and express that using both the greater than and the less than notations.
Determine which of -63 and -213 is larger, and express that using both the greater than and the less than notations.
Determine which of 101 and 98 is larger, and express that using both the greater than and the less than notations.
Calculate \(|38|\).
Calculate \(|-81|\).
Use your calculator to calculate \((-18)+11\). Explain how the answer agrees with what was expected.
Use your calculator to calculate 38 - 100. Explain how the answer agrees with what was expected.
Use your calculator to calculate 45 - (-26). Explain how the answer agrees with what was expected.
Use your calculator to calculate \(19+(-36)\). Explain how the answer agrees with what was expected.
Christian is owed \(\$ 180\) from his friend Chanel, but owes his friend Jeff \(\$ 91\). What is Christian's net worth?
Use your calculator to calculate \(81 \times 26\). Explain how the answer agrees with what was expected.
Use your calculator to calculate \((-18) \times 13\). Explain how the answer agrees with what was expected.
Use your calculator to calculate (-116)/4. Explain how the answer agrees with what was expected.
Use your calculator to calculate (-77)/(-11). Explain how the answer agrees with what was expected.
Banks and credit cards often base their interest on the average daily balance of an account, which is the average of the balance from each day of the period. The account balance of Jada's checking account on each day of the week of December 13,2020 , was \(\$ 1,250, \$ 673,-\$ 1,500, \$ 1,000, \$
Calculate \(43+18 \times 15\).
Calculate \(60^{2} / 50\).
Calculate \(3 \times 6^{3}-18\).
Correctly apply the order of operations to compute the following:\(13+3^{4} \times 8 / 6 \times 5^{2}-3 \times 4\)
Correctly apply the rules for the order of operations to accurately compute the following:\(12 /(-4)+8 \times 9 / 12 \times 2^{3}-24 \times 25 / 10\).
Correctly apply the rules for the order of operations to accurately compute the following:\(3 \times 4^{3} \times 7+24 / 6 \times 7^{2}-9 / 3 \times 8\).
Correctly apply the rules for the order of operations to accurately compute the following:\(8-\left(25-2^{2}\right) / 7\)
Correctly apply the rules for the order of operations to accurately compute the following:\((8-6)^{2} \times 100-\left((48 / 6-3)^{2}-4 \times 7\right)\).
Determine if the following are perfect squares:1. 94 2. 441
Determine which of the following are rational numbers:1. \(\sqrt{13}\)2. \(-13 . \overline{21}\)3. \(\frac{-48}{-16}\)4. \(-4 \frac{18}{19}\)5. 14.1131
Determine if \(\frac{8}{14}\) and \(\frac{12}{26}\) are equivalent fractions.
Express \(\frac{252}{840}\) in lowest terms.
Calculate \(\frac{124}{297}+\frac{3}{125}\).
Calculate \(\frac{38}{73}+\frac{7}{73}\).
Calculate \(\frac{21}{40}-\frac{8}{40}\).
Calculate \(\frac{4}{9}+\frac{7}{12}\).
Calculate \(\frac{10}{99}-\frac{17}{300}\).
Rewrite \(\frac{95}{26}\) as a mixed number.
Rewrite \(9 \frac{5}{14}\) as an improper fraction.
Round 5.1082 to three decimal places.
Round 18.6298 to two decimal places.
Convert \(\frac{48}{30}\) into decimal form.
Convert 17.03347 to fraction form.
Calculate \(\frac{45}{88} \times \frac{28}{75}\).
Calculate \(45.63 \div 17.13\) using a calculator. Round to three decimal places, if necessary.
1. Calculate \(\frac{46}{175} \div \frac{69}{285}\).2. Calculate \(\frac{3}{40} \div \frac{42}{55}\).
Correctly apply the rules for the order of operations to accurately compute \(\left(\frac{3}{16}+\frac{7}{16}\right)^{2}+\frac{1}{5} \div \frac{3}{10}\).
Correctly apply the rules for the order of operations to accurately compute \(\left(\frac{3}{5}+2\right) \times\left(\frac{4}{5}-\frac{1}{2}\right)^{2} \div \frac{11}{15}\).
Demonstrate the density property of rational numbers by finding a rational number between \(\frac{27}{13}\) and \(\frac{21}{10}\).
Ashley wants to study for 10 hours over the weekend. She plans to spend half the time studying math, a quarter of the time studying history, an eighth of the time studying writing, and the remaining eighth of the time studying physics. How much time will Ashley spend on each of those subjects?
Danny, a nutritionist, is designing a diet for her client, Callum. Danny determines that Callum's diet should be \(30 \%\) protein. If Callum consumes 2,400 calories per day, how many calories of protein should Danny tell Callum to consume?
One mile is equal to \(1.60934 \mathrm{~km}\). Convert 200 miles to kilometers. Round off the answer to three decimal places.
It is known that 4 quarts equals 3.785 liters. If you have 25 quarts, how many liters do you have? Round off to three decimal places.
Rewrite the following as fractions:1. \(4 \%\)2. \(50 \%\)
Rewrite the following percentages in decimal form:1. \(14 \%\)2. \(7 \%\)
1. Determine \(25 \%\) of 1,200 .2. Determine \(53 \%\) of 1,588 .
1. What is the total if \(25 \%\) of the total is 30 ?2. What is the total if \(45 \%\) of the total is 360 ?
Find the percentage in the following:1. Total is 1,000 , percentage of the total is 70 .2. Total is 500 , percentage of the total is 425 .
Riley has a daily calorie intake of 2,200 calories and wants to take in \(20 \%\) of their calories as protein. How many calories of protein should be in their daily diet?
A small town has 450 registered voters. In the primaries, 54 voted. What percentage of registered voters in that town voted in the primaries?
A store declares a deep discount of \(40 \%\) for an item, which they say will save \(\$ 30\). What was the original price of the item?
Determine which of the following are perfect squares.1. 36 2. 27 3. \(\frac{9}{49}\)4. \(\frac{12}{221}\)
Identify which of the following numbers are irrational.1. \(\sqrt{225}\)2. \(3 \sqrt{5}\)3. \(\sqrt{80}\)4. \(20-3 \pi\)
Simplify the irrational number \(\sqrt{550}\) and express in lowest terms. Identify the rational and irrational parts.
Simplify the irrational number \(\sqrt{733}\) and express in lowest terms. Identify the rational and irrational parts.
Simplify the irrational number \(\sqrt{1,815}\).
If possible, subtract the following irrational numbers without using a calculator. If this is not possible, state why.\[ 41 \sqrt{15}-23 \sqrt{15} \]
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