Find the limit of the sequence if it converges; otherwise indicate divergence.an = ln(7n + 5) - ln(5n + 4)

A. ln
B. ln
C. ln 2
D. Diverges


Answer: B

Mathematics

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Provide an appropriate response.A manufacturer who requires raw materials A, B, C, D, and E is interested in tracking the costs of these materials from 3 different sources. What is the order of the matrix he would use?

Fill in the blank(s) with the appropriate word(s).

Mathematics

Write an equivalent expression in logarithmic form.63 = 216

A. log3216 = 6 B. log2166 = 3 C. log63 = 216 D. log6216 = 3

Mathematics

Find the vertex, focus, and directrix of the parabola. Graph the equation.y2 = -8x

A. vertex: (0, 0)
focus: (2, 0)
directrix: x = -2

B. vertex: (0, 0)
focus: (0, -2)
directrix: y = 2

C. vertex: (0, 0)
focus: (-2, 0)
directrix: x = 2

D. vertex: (0, 0)
focus: (0, -2)
directrix: y = 2

Mathematics

The following is a cyclic pentagon. Trace the pentagon and using only a compass and straightedge, construct the circle that contains each vertex of the pentagon.

Mathematics