Concept explainers
In Exercises 1–6, consider the numbers
2. Which are rational numbers but not integers?
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College Algebra: Graphs and Models (6th Edition)
- Consider the list of numbers: 2n-1, where n first equals 2, then 3, 4, 5,6,…What is the smallest value of n for which 2n -1 is not a prime number. Show all your work.arrow_forwardWhy do these rational numbers have terminating decimal? 1/30, 1/32, 1/40, and 3/60.arrow_forwardHow to calculate true positive, false positive, true negative and false negative from a 2*2 table? Can you please give formulas for all four?arrow_forward
- Calculate 19992 – 19982 + 19972 – 19962 + -22 + 12. ...arrow_forwardIn Exercises 83–100, use the order of operations to simplify each expression. 83. 4(-5) – 6(-3) 84. 8(-3) – 5(-6) 85. 3(-2)? – 4(-3)² 86. 5(-3)2 – 2(-2)2 87. 82 – 16 + 2² .4 – 3 88. 10 - 100 + 52.2 - 3 5.2 - 32 10 + 2 + 3.4 90. (12 – 3.2) 89. [3 - (-2) 91. 8 - 3[-2(2 - 5) – 4(8 – 6)] 92. 8 - 3[-2(5 – 7) - 5(4 - 2)1 2(-2) – 4(-3) 93. 5 - 8 6(-4) – 5(-3) 94. 9 - 10 (5 – 6)? – 2|3 – 7| 95. 89 – 3.52 12 + 3.5|22 + 32| 96. 7 + 3 - 62 97. 15 - V3 - (-1) + 12 + 2.3 98. 17 - |5 - (-2)| + 12 + 2.3 99. 20 + 1 - V102 - (5 + 1)(-2) 100. 24 - V3. (5 – 2) + [-1 – (-3)|rarrow_forward1. Find the number of zeroes at the end of 100!arrow_forward
- 4. A scuba diver rose 600 feet to the surface of the water. The integer that represents the diver's position, in feet, with respect to the water's surface before rising isarrow_forwardlet a = 3^4 7^3 11^2 13^5 and b = 2^6 5^2 7^2 11^3 13^4 Determine the values of (a,b) and [a,b] and Find eight consecutive composite integersarrow_forwardWhere does the 52 and 26 come from and whyarrow_forward
- Using the 10 digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, how many four digit numbers can be formed if all the digits are odd numbers and each digit can be used more than once (rounded off to zero decimals)?arrow_forwardDraw a diagram to illustrate 2 2/3.arrow_forwardWhich integers leave a remainder of 1 when divided by 2 and also leave a remainder of 1 when divided by 3?arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell