Find a rational number and an irrational number between the given pair of numbers.
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4.5 and 4.6

What will be an ideal response?


The answers vary. For example,  and 4.54553... .

Mathematics

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Solve the problem.A country consists of six states, with the state's populations given in the following table. The number of seats to be apportioned is M = 100. Find the apportionment under the Huntington-Hill method.  

A. A:32; B:21; C:19; D:13; E: 5; F: 10 B. A:32; B:21; C:20; D:12; E: 5; F: 10 C. A:32; B:22; C:18; D:13; E: 5; F: 10 D. A:32; B:21; C:19; D:13; E: 6; F: 9 E. A:33; B:21; C:19; D:13; E: 5; F: 9

Mathematics

Provide an appropriate response.The product, power, and quotient rules enable us to simplify expressions like loga. Explain why such expressions can always be simplified without using the quotient rule.

What will be an ideal response?

Mathematics

Write the exponential equation as an equation involving a common logarithm or a natural logarithm.ex = 7

A. ln 7 = x B. ln x = 7 C. logx e = 7 D. log7 x = e

Mathematics

Without using a calculator, determine the system of inequalities needed for the calculator-generated graph.

A. y ? x2 + 2 y ? -2 B. y ? x2 + 2 x ? -2 C. y ? x2 + 2 y ? -2 D. y ? -x2 + 2 y ? 2

Mathematics