Find the GCF for the group of monomials.54xy8, 36x6y4, and -72x9y6

A. 18xy4
B. 216x9y8
C. 18x9y8
D. 6xy


Answer: A

Mathematics

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Suppose a lake is stocked with N?0 fish of the same age. The total number C of  fish caught by fishing over the life span of the fish is given by

.
Here F is the percentage of the fish population caught annually, and M is the percentage of fish that die each year. Suppose the lake is initially stocked with 1100 fish that have a mortality rate of 13% per year, so .  A: Write a formula that gives C as a function F.B: What percentage of fish caught annually will result in a total catch of 610 fish? Round your answer to two decimal places.C: What is the horizontal asymptote for this function?

What will be an ideal response?

Mathematics

Find a parametrization for the line segment beginning at P1 and ending at P2.P1(2, -2, -4) and P2(0, -2, 3)

A. x = 2t, y = -2, z = -7t + 3, 0 ? t ? 1 B. x = 2t, y = -2t, z = -7t + 3, 0 ? t ? 1 C. x = -2t + 2, y = -2t, z = 7t - 4, 0 ? t ? 1 D. x = -2t + 2, y = -2, z = 7t - 4, 0 ? t ? 1

Mathematics

Name the quadrant in which the angle ? lies.tan ? > 0, sin ? < 0

A. I B. II C. III D. IV

Mathematics

Solve the problem.A 5-foot tree casts a 13-foot shadow and creates a right triangle, as shown. At the same time, a nearby building casts a 156-foot shadow, creating a similar right triangle. What is the height of the building?

A. 405.6 ft B. 84 ft C. 60 ft  D. 31.2 ft

Mathematics