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study help
mathematics
contemporary mathematics
Contemporary Mathematics 1st Edition OpenStax - Solutions
99 Express the Hindu-Arabic number in expanded form.
131 Express the Hindu-Arabic number in expanded form.
408 Express the Hindu-Arabic number in expanded form.
651 Express the Hindu-Arabic number in expanded form.
3,901 Express the Hindu-Arabic number in expanded form.
5,098 Express the Hindu-Arabic number in expanded form.
12,430 Express the Hindu-Arabic number in expanded form.
\(3 \times 10^{1}+2 \times 10^{0}\)Express the expanded number as a Hindu-Arabic number.
\(5 \times 10^{1}+7 \times 10^{0}\)Express the expanded number as a Hindu-Arabic number.
\(2 \times 10^{2}+4 \times 10^{1}+9 \times 10^{0}\)Express the expanded number as a Hindu-Arabic number.
\(6 \times 10^{2}+0 \times 10^{1}+1 \times 10^{0}\)Express the expanded number as a Hindu-Arabic number.
\(1 \times 10^{3}+4 \times 10^{2}+4 \times 10^{1}+0 \times 10^{0}\)Express the expanded number as a Hindu-Arabic number.
\(7 \times 10^{3}+0 \times 10^{2}+1 \times 10^{1}+8 \times 10^{0}\)Express the expanded number as a Hindu-Arabic number.
\(6 \times 10^{4}+7 \times 10^{3}+0 \times 10^{2}+0 \times 10^{1}+0 \times 10^{0}\)Express the expanded number as a Hindu-Arabic number.
\(9 \times 10^{4}+8 \times 10^{3}+7 \times 10^{2}+3 \times 10^{1}+4 \times 10^{0}\)Express the expanded number as a Hindu-Arabic number.
\(7 \times 10^{7}+3 \times 10^{6}+4 \times 10^{5}+0 \times 10^{4}+4 \times 10^{3}+1 \times 10^{2}+5 \times 10^{1}+1 \times 10^{0}\)Express the expanded number as a Hindu-Arabic number.
\(8 \times 10^{8}+0 \times 10^{7}+4 \times 10^{6}+9 \times 10^{5}+9 \times 10^{4}+2 \times 10^{3}+2 \times 10^{2}+6 \times 10^{1}+0 \times 10^{0}\)Express the expanded number as a Hindu-Arabic number.
Find the prime factorization of 300 .
Tiles will be used to cover an area that is \(650 \mathrm{~cm} \times 1,200 \mathrm{~cm}\). What is the largest size square tile that can be used so that all the tiles used are full tiles?
Calculate the following: \(3 \times\left(\frac{4}{3} \times(14-8)+3\right)-4 \times\left(8-2^{2}\right)\).
What does PEMDAS stand for?
David's tax return is for \(\$ 1,560\). He decides to spend \(20 \%\) of that return. How much does David spend?
Convert \(\frac{305}{26}\) into a mixed number.
Convert \(0 . \overline{659}\) to a fraction of integers.
Simplify the following square root: \(\sqrt{6237}\).
What is the conjugate of \(4-\sqrt{10}\) ?
Rationalize the denominator of \(\frac{2}{10+\sqrt{13}}\).
What two sets of numbers comprise the real numbers?
Which property of the real numbers is shown: \(4(a+7)=4 a+4 \times 7\) ?
Georita believes it will take 30 hours for her and her family to drive to their vacation. If they leave at \(2: 00\), what time should they arrive (ignore AM/PM)?
Suppose a bacterium in the gut has a generation time (time to divide) of 16 hours. If it first divides at \(4: 00\), what time will it be when they divide the 80th time afterward?
Simplify \(\left(\frac{9 x}{a^{2}}\right)^{5}\).
The moon is \(3.844 \times 10^{8} \mathrm{~m}\) from Earth. A dollar bill has a thickness of \(1.0922 \times 10^{-4} \mathrm{~m}\). If dollar bills could be stacked perfectly, how many would it take to reach the moon?
A single long table can seat 8 people, 3 on each side and 1 on each end. If a second table is added to the first, end to end, then 14 people can sit at the table, 6 per side and 1 at each end. Adding another table adds another 6 people. How many people can sit at a table made by placing 10 of these
The first row of a theater seats 25 people. Each following row seats 2 more people. If there are 80 rows in the theater, how many people, total, can sit in the theater?
Alice deposits \(\$ 2,500\) in a bond yielding \(6 \%\) interest compounded annually. How much is the bond worth in 20 years?
What is the 15 th term of a geometric sequence with first term 5 and common ratio 3 ?
Identify which of the following numbers are prime, composite, or neither: \(201,34,17,1,37\).
Find the prime factorization of 500 .
Find the greatest common divisor of 80 and 340 .
Find the greatest common divisor of 30,40 , and 70 .
Find the least common multiple of 45 and 60 .
Bella and JJ volunteer at the zoo. Bella volunteers every 8 days, while JJ volunteers every 14 days. How many days pass between days they volunteer together?
Identify all the integers in the following list: \(-4, \frac{2}{7}, 15,97.5,0, \sqrt{122}\).
Plot the following on the same number line:\(1,5,-2,0\).
What two numbers have absolute value of 18 ?
Calculate \(14-(-12)\).
Calculate \((-19) \times 4\).
Calculate \((-240) \div(-12)\).
Six students rent a house together. The total monthly rent (including heat and electricity) is \(\$ 3,120\). If they all pay an equal amount, how much does each student pay?
Calculate \(5 \times 3-(-12)\).
Calculate \(4^{2} \times 6+2^{3}\).
\((4-6) \times 2\)
\((8-1)^{3}-3 \times 9\)
\(120-(51+12) \div 3^{2}\)
Reduce \(\frac{90}{153}\) to lowest terms.
Convert \(\frac{430}{25}\) to a mixed number and reduce to lowest terms.
Convert \(\frac{9}{5}\) to decimal form.
Convert \(\frac{5}{11}\) to decimal form.
Calculate \(\frac{4}{15}+\frac{9}{10}\) and reduce to lowest terms.
Compute \(\frac{3}{10} \div \frac{12}{25}\) and reduce to lowest terms.
Determine \(30 \%\) of 400 .
18 is what percent of 40 ?
In Professor Finnegan's Science Fiction course, there are 60 students. Of those, \(15 \%\) say they've read \(A\) Hitchhiker's Guide to the Galaxy. How many of the students have read that book?
Simplify the square root by expressing it in lowest terms: \(\sqrt{275}\).
Calculate \(4 \sqrt{13}-15 \sqrt{13}\) without a calculator. If not possible, explain why.
Calculate \((2.3 \sqrt{5}) \times(4.2 \sqrt{3})\) without a calculator. If not possible, explain why.
Rationalize the denominator of \(\frac{6}{\sqrt{22}}\), and simplify the fraction.
Find the conjugate of \(4 \sqrt{7}+3\) and find the product of \(4 \sqrt{7}+3\) and its conjugate.
Rationalize the denominator of \(\frac{3}{8+\sqrt{34}}\) and simplify the fraction.
Identify the numbers of the following list as a natural number, an integer, a rational number, or a real number: \(\sqrt{37},-0.43,18,-43,12 \pi\).
Identify the property of real numbers illustrated here: \(14+19=19+14\).
Identify the property of real numbers illustrated here: \(87.4+0=87.4\).
Identify the property of real numbers illustrated here: \(2 \times(\sqrt{31}-12)=2 \sqrt{31}-2 \times 12\).
Identify the property of real numbers illustrated here: \(98 \times 41=41 \times 98\).
Use mental math to calculate \(21 \times 99\).
Determine 74 modulo 9.
Use clock arithmetic to calculate \(13+25\).
Use clock arithmetic to calculate \(4 \times 8\).
It is Wednesday. What day of the week will it be in 44 days?
It is 4:00. What time will it be in 100 hours?
Security guards with Acuriguard submit a report on campus activity every 4 days. If they make a report on a Monday, what day of the week will it be after 10 more reports?
Use exponent rules to simplify \(17^{8} \times 17^{3}\).
Use exponent rules to simplify \(\frac{15^{9}}{15^{-5}}\).
Use exponent rules to simplify \((3 k)^{6}\).
Use exponent rules to simplify \(\left(\frac{y}{4}\right)^{11}\).
Use exponent rules to simplify \(\left(51^{3}\right)^{6}\).
Use exponent rules to simplify \(\left(\frac{3 x^{4}}{5}\right)^{7}\).
Rewrite \(\frac{5^{2}}{x^{4}}\) without a denominator.
Rewrite \(16 z^{-9}\) without negative exponents.
Convert 0.0000452 to scientific notation.
Convert \(3.01 \times 10^{5}\) to standard notation.
Convert \(42.9 \times 10^{-9}\) to scientific notation.
Calculate \(4.51 \times 10^{5}-9.11 \times 10^{4}\).
Calculate \(\left(9.15 \times 10^{3}\right) \div\left(3 \times 10^{8}\right)\).
The Sextans Dwarf Spheroidal Galaxy has diameter 8,400 light years (ly). Express this in Scientific notation.
The Reticulum II Galaxy has diameter \(3.78 \times 10^{2}\) light years (Iy), while the Andromeda Galaxy has a diameter of\(2 \times 10^{5}\). How many times bigger is the Andromeda Galaxy compared to the Reticulum II Galaxy?
Determine the common difference of the following sequence: \(\{19,13,7,1,-5, \ldots\}\).
Find the 25th term, \(a_{25}\), of the arithmetic sequence with \(a_{1}=13\) and \(d=1.7\).
Find the first term and the common difference of the arithmetic sequence with 8 th term \(b_{8}=50\) and 15 th term \(b_{15}=106\).
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