Find the general solution of the equation. Express the solution explicitly as a function of the independent variable.e3ty'(t) = -8

A. y = e3t + C
B. y = e-2t + C
C. y = e-3t + C
D. y = 24e3t + C


Answer: C

Mathematics

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Simplify.

A. 6
B.
C.
D. 5

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Solve the problem.An investment of A dollars increases in value by P% for each two years. The value of the investment at the end of the two years can be represented by  Multiply this expression.

A. +  
B. -  - 
C. +  + 
D. + 

Mathematics

Solve the problem.On a map of the Fox River, 1 centimeter represents 7 kilometers. If a trail by the river is actually 22.40 kilometers long, what is the length of the river on the map? Round to nearest tenth.

A. 10.4 centimeters B. 3.2 centimeters C. 15.4 centimeters D. 5.2 centimeters

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.

Mathematics