How many squares of all sizes are there in a 4 by 4 square? Sketch all of the squares on the provided 4 by 4 squares and briefly explain your work.
There are 16 9 4 1 30 squares.
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Solve the problem.Let D be the smaller cap cut from a solid ball of radius 8 units by a plane 5 units from the center of the sphere. Set up the triple integral for the volume of D in cylindrical coordinates.
A. 
B. 
C. 
D. 
Write the slope-intercept form of the equation for the line passing through the given pair of points.
and 
A. y = 
x - 
B. y = 
x + 
C. y = 3x + 11
D. y = 
x
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.
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Solve the equation by expressing each side as a power of the same base and then equating exponents.3x = 27
A. {3} B. {4} C. {9} D. {2}