Please help me understand how to form this equation

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$5.00 Please help me understand how to form this equation

From Mathematics: Algebra
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Due on Dec. 31, 2008
Asked on Dec 28, 2008 at 2:57:33PM

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According to Kepler third law of planetary motion, the ratio T^2/R^3 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units (AU), and T is the number of years it takes for one complete orbit of the sun. Jupiter orbits the sun in 11.86 years with an average radius of 5.2 AU, whereas Saturn orbits the sun in 29.46 years. (One AU is the distance from the earth to the sun.) Orbit of Venus. If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venus to complete one orbit of the sun?

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Posted on Dec 28, 2008 at 3:42:36PM

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Preview: ... u just need to determine the ratio T^2/R^3 for Jupiter and then use it t ...

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Posted on Dec 28, 2008 at 3:44:11PM

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Preview: ... Let's first calculate Jupiter's ratio of T^2 / R^3 11.86^2 / 5.2^3 = 140.6596/140.608 140.6596/140.608 = T^2 / 0.723^3 Cross ...

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Posted on Dec 28, 2008 at 3:53:14PM

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Preview: ... he planet measured in astronomical units (AU), and T is the number of years it takes for one complete orbit ...

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Posted on Dec 28, 2008 at 4:00:29PM

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Preview: ... T^2/R^3 for Jupiter. Let k be the ratio. k= T^2/R^3 = 11.86^2/5.2^3 = 1.000 ...

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Posted on Dec 28, 2008 at 7:05:47PM

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Preview: ... Ratio for Jupiter = T^2/R^3 = (11.86)^2/ ...

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Posted on Dec 28, 2008 at 7:49:34PM

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Preview: ... 79 => T = ±0.615 Since T cannot be negative, we conclude that T = 0.615. So, Venus will take 0.615 years t ...

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