A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true.Sn: 2 is a factor of n2 + 3n
What will be an ideal response?
| S1: | 2 is a factor of 12 + 3 ? 1 = 1 + 3 = 4 ? |
S3: 2 is a factor of 32 + 3 ? 3 = 9 + 9 = 18 ?
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Express as a single logarithm and, if possible, simplify.ln (x2 - 64) - ln (x + 8)
A. ln (x + 8) B. ln (x2 - 8) C. ln (x - 8) D. ln (x - 64)
Find an equation of variation if the following conditions exist.Suppose r varies directly as s and r = 0.0833 when s = 1.
A. r = 13s B. r = 11s C. r = 0.0833s D. r = 12s
Factor the perfect square trinomial completely.x2 + 16x + 64
A. prime B. (x - 8)2 C. (x + 8)2 D. (x + 8)(x - 8)
Solve the problem.Use the formula 
where the loudness of a sound in decibels is determined by I, the number of watt/m2 produced by the soundwave, and 
A certain noise produces 
of power. What is the decibel level of this noise? Round to the nearest decibel.
A. 206 decibels B. 80 decibels C. 9 decibels D. 90 decibels