Provide an appropriate response.Explain why log213 is between 3 and 4.

What will be an ideal response?


log28 = 3 and log216 = 4. Since 8 < 13 < 16, then 3 < log213 < 4. This is true because log2x is an increasing function.

Mathematics

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Use the root test to determine if the series converges or diverges.

A. Diverges B. Converges

Mathematics

Find the expression.u = -3i - 5j, v = 7i + 7j; Find u + v.

A. -10i + 3j  B. 4i + 2j C. 3i + 2j  D. 10i + 2j

Mathematics

Give all possible rational zeros for the polynomial.f(x) = 2x3 + 7x2 + 13x - 8

A. ±1, ±2, ±4
B. ±1, ±2, ±4, ±8
C. ±1, ± , ±2, ±4, ±8
D. ±1, ± , ± , ± , ±2

Mathematics

Find the indicated probability. Leave your answer in fractional form unless otherwise indicated.The land area of of a certain country is 7,981,000 square kilometers. Of this land, 3,655,000 square kilometers is forested. A square kilometer of land in this country is randomly selected. What is the probability that the selected area of land is forested? Estimate the probability to two decimal places if necessary.

A. 0.78 B. 0.46 C. 0.22 D. 0.54

Mathematics