Provide an appropriate response.Explain how (-8)8 and -88 are different.

What will be an ideal response?


In the first, -8 is raised to the power 8. In the second, 8 is raised to the power 8, then the negative is applied.

Mathematics

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Provide an appropriate response.The domain of f(x) =  consists of all real numbers x such that

A. x ? .
B. x > .
C. x ? - .
D. x > - .
E. x ? .

Mathematics

All references are to the figure below. The distance between A and D is a, and the distance between D and C is x. Assuming that A = 36°, ?BDC = 42°, and c2 = 21, find h, x, and a.

A. h ? 12.3, x ? 13.7, a ? 3.3 B. h ? 14.1, x ? 15.6, a ? 3.7 C. h ? 12, x ? 14, a ? 3.3 D. h ? 14, x ? 16, a ? 3.7

Mathematics

In the LORAN (LOng RAnge Navigation) radio navigation system, two radio stations located at A and B transmit simultaneous signals to a ship or an aircraft located at P. The onboard computer converts the time difference in receiving these signals into a distance difference |A| - |B|, and this, according to the definition of a hyperbola, locates the ship or aircraft on one branch of a hyperbola (see the figure). Suppose that station B is located L = 480 mi due east of station A on a coastline. A ship received the signal from B 1280 microseconds (?s) before it received the signal from A. Assuming that radio signals travel at a speed of 1000 ft/?s and if the ship is due north of B, how far off the coastline is the ship? Round your answer to the nearest mile. Select the correct answer.

Mathematics

Solve the problem.Matthew has $5600 invested in the stock market. This amounts to 20% of his total savings. How much has Matthew saved?

A. $280,000 B. $28,010 C. $28,000 D. $28,100

Mathematics