Solve for I
I = \frac{48014368871}{2426110000} = 19\frac{1918278871}{2426110000} \approx 19.790680913
Assign I
I≔\frac{48014368871}{2426110000}
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I=\frac{400}{19}\left(\frac{2\times 9.8\times 0.98}{4.52^{2}}-\left(10.5\times 10^{-3}\right)^{2}\right)
Multiply 4 and 100 to get 400.
I=\frac{400}{19}\left(\frac{19.6\times 0.98}{4.52^{2}}-\left(10.5\times 10^{-3}\right)^{2}\right)
Multiply 2 and 9.8 to get 19.6.
I=\frac{400}{19}\left(\frac{19.208}{4.52^{2}}-\left(10.5\times 10^{-3}\right)^{2}\right)
Multiply 19.6 and 0.98 to get 19.208.
I=\frac{400}{19}\left(\frac{19.208}{20.4304}-\left(10.5\times 10^{-3}\right)^{2}\right)
Calculate 4.52 to the power of 2 and get 20.4304.
I=\frac{400}{19}\left(\frac{192080}{204304}-\left(10.5\times 10^{-3}\right)^{2}\right)
Expand \frac{19.208}{20.4304} by multiplying both numerator and the denominator by 10000.
I=\frac{400}{19}\left(\frac{12005}{12769}-\left(10.5\times 10^{-3}\right)^{2}\right)
Reduce the fraction \frac{192080}{204304} to lowest terms by extracting and canceling out 16.
I=\frac{400}{19}\left(\frac{12005}{12769}-\left(10.5\times \frac{1}{1000}\right)^{2}\right)
Calculate 10 to the power of -3 and get \frac{1}{1000}.
I=\frac{400}{19}\left(\frac{12005}{12769}-\left(\frac{21}{2000}\right)^{2}\right)
Multiply 10.5 and \frac{1}{1000} to get \frac{21}{2000}.
I=\frac{400}{19}\left(\frac{12005}{12769}-\frac{441}{4000000}\right)
Calculate \frac{21}{2000} to the power of 2 and get \frac{441}{4000000}.
I=\frac{400}{19}\times \frac{48014368871}{51076000000}
Subtract \frac{441}{4000000} from \frac{12005}{12769} to get \frac{48014368871}{51076000000}.
I=\frac{48014368871}{2426110000}
Multiply \frac{400}{19} and \frac{48014368871}{51076000000} to get \frac{48014368871}{2426110000}.
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