Solve the problem.When two lenses are placed next to each other, their combined focal length (a measurement that can be negative or positive) is described by the equation f = .If f1 = 0.001, what are the asymptotes of this function?

What will be an ideal response?


vertical asymptote: f2 = -0.001; horizontal asymptote: f = 0.001

Mathematics

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Divide.

A.  
B. x + 9 - 
C. x + 9 + 
D. x + 10

Mathematics

Find the absolute value of the complex number.z = 5i

A. 5 B. 25 C. -5 D. 5i

Mathematics

Solve the problem.In a 1-mile race, the winner crosses the finish line 13 feet ahead of the second-place runner and 29 feet ahead of the third-place runner. Assuming that each runner maintains a constant speed throughout the race, by how many feet does the second-place runner beat the third-place runner? (5280 feet in 1 mile.)

A. 3.01 ft B. -16.09 ft C. 16.04 ft D. -13.07 ft

Mathematics

Solve the problem.A certain electronic air cleaner is capable of filtering x liters of air per second and the percentage of the contaminants that are removed from the air may be calculated by  where  Graph f in [0,85,5] by  Then, use the intersection-of-graphs method to estimate the x-values where 70% to 95% of the pollutants are removed.

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A. 70% to 95% are removed when
about 22 to 30 liters of air are
filtered.

B. 70% to 95% are removed when
about 32 to 44 liters of air are
filtered.

C. 70% to 95% are removed when
about 25 to 35 liters of air are
filtered.

D. 70% to 95% are removed when
about 39 to 52 liters of air are
filtered.

Mathematics