Solve the problem.A searchlight is shaped like a parabola. If the light source is located 2 feet from the base along the axis of symmetry and the opening is 14 feet across, how deep should the searchlight be?

A. 24.5 ft
B. 0.1 ft
C. 12.3 ft
D. 6.1 ft

Answer: D

Mathematics

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The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log , where x0 = 10-3.Two earthquakes differ by 0.1 when measured on the Richter scale. How would the seismographic readings differ at a distance of 100 kilometers from the epicenter?

A. The earthquake of greater magnitude has a seismographic reading that is 100 times that of the lesser earthquake.
B. The earthquake of greater magnitude has a seismographic reading that is 10 times that of the lesser earthquake.
C. The earthquake of greater magnitude has a seismographic reading that is times that of the lesser earthquake.
D. The earthquake of greater magnitude has a seismographic reading that is times that of the lesser earthquake.