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Earthquakes If an earthquake has an intensity
of 25,000 times I0, what is the magnitude of the
earthquake?
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- (a) Find the magnitude of an earthquake that has an intensity that is 38.25 (that is, the amplitude of the seismograph reading is 38.25 cm). (Round your answer to one decimal place.) (b) An earthquake was measured to have a magnitude of 4.4 on the Richter scale. Find the intensity of the earthquake. (Round your answer to one decimal place.)During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For the first three hours of typhoon, the rain fell at a constant rate of.25mm The typhoon slows down for an hour and started again at a constant rate of 20 mm per hour for the next two hours. Write a piecewise function that models the amount per hour. of rainfall as function of timeIf an earthquake has an intensity of 77,000 times lo, what is the magnitude of the earthquake? The magnitude of the earthquake is approximately (Round up to one place after decimal as needed.)
- The Richter Soale is a simple equation for measuring intensity of an earthquake, according to the formula R=log(I), where I is Intensity of an earthquake and Ris the Richter scale rating. The largest earthquake in the year 2006 was in the ocean that was recorded as an 8.3 on the Richter Scale. The most devastating earthquake was in a major city that registered 6.6 on the Richter Scale. How many times more intense was the quake in the ocean? a) The intensity of the 8.3 earthquake was: You can write it as a power of 10 b) The intensity of the 6.6 earthquake was: FYou can write it as a power of 10} c) The quake in the ocean was times more intense than the one in the city. (Round to 3 decimal places.)5. Use the Richter scale R = log- for measuring the magnitude R of an earthquake. Find the intensity I of an earthquake measuring R on the Richter scale (let I, = 1). %3D a. South Shetland Islands in 2012: R = 6.6. %3D b. Oklahoma in 2011: R = 5.6. %3D c. Papua New Guinea in 2011: R = 7.1. с. Find the magnitude R of each earthquake of intensity I (Io = 1) d. I = 199,500,000 I = 48,275,000 e. f. I= 17,000 %3DTectonic plates are large segments of the Earth's crust that move slowly. Suppose one such plate has an average speed of 8.0 cm per year. (a) What distance does it move in 45 seconds at this speed? (b) What is its speed in miles per million years? mi/million yr Additional Materials
- The intensities I of two earthquakes are compared with the Richter scale magnitudes, M. log (I2/I1) = M2 – M1 How many times greater is the intensity of earthquake 2 with M2 = 8.0 than earthquake 1 with M1 = 6.0? 100 times 2 times 50 timesThe magnitude M of an earthquake is given. a. Find the earthquake intensity I in terms of the zero-level earthquake intensity lo- b. Find the energy released by the earthquake. M = 7.34) The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude R is given by the model R = 0.67 log(0.37 E) + 1.46 Where E is the energy (in kilowatt-hours) released by the earthquake. An earthquake in Pakistan on June 8, 2007. released 132,372 kilowatt hours of energy, what was the earthquake's magnitude (to the nearest tenth)? a) 4.1 b) 4.3 d) 4.8 c) 4.6
- Tectonic plates are large segments of Earth’s mist that move slowly. Suppose one such plate has an average speed of 4.0 cm/yr. (a) What distance does it move in 1.0 s at this speed? (b) What is its speed in kilometers pet million years?Tectonic plates are large segments of the earth's crust that move slowly. Suppose one such plate has an average speed of 3.5 cm per year. (b) What is its speed in miles per million years?If A is the amplitude of an earthquake (measured in micrometers), and P is the period (measured in seconds), then the intensity of the earthquake is measured by the formula R =