Solve.Let log b A = 3.451 and log b B = 0.142. Find log b .

A. 3.309
B. 3.593
C. 0.491
D. 3.451


Answer: A

Mathematics

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Solve the problem.Find the optimum number of batches (to the nearest whole number) of an item that should be produced annually (in order to minimize cost) if 270,000 units are to be made, it costs $2 to store a unit for one year, and it costs $520 to set up the factory to produce each batch. Assume that units of this item will be sold off throughout the year, so the cost equation will use the average cost.

A. 18 batches B. 16 batches C. 25 batches D. 23 batches

Mathematics

Solve the problem.How many line segments are determined by joining the dots on the last two circles?3 segments6 segments segments segmentsUse inductive reasoning to find a formula for the number of line segments determined by joining n dots on a circle.

A. 5 dots: 9 segments 7 dots: 15 segments n dots : 3n - 6 segments B. 5 dots: 13 segments 7 dots: 33 segments n dots : (n - 1)2 - 3 segments C. 5 dots: 10 segments 7 dots: 21 segments n dots : n(n - 1)/2 segments D. 5 dots: 12 segments 7 dots: 24 segments n dots : 6(n - 3) segments

Mathematics

Round the mixed number to the nearest integer.-6

A. -6
B. -7
C. -6
D. 7

Mathematics

Determine whether the equation is an identity. If it is an identity, prove it.1 + sec2x sin2x = sec2x

What will be an ideal response?

Mathematics