Evaluate
\frac{7693}{60}\approx 128.216666667
Factor
\frac{157 \cdot 7 ^ {2}}{3 \cdot 5 \cdot 2 ^ {2}} = 128\frac{13}{60} = 128.21666666666667
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\frac{12.25\times 3.14\times 10}{3}
Calculate 3.5 to the power of 2 and get 12.25.
\frac{38.465\times 10}{3}
Multiply 12.25 and 3.14 to get 38.465.
\frac{384.65}{3}
Multiply 38.465 and 10 to get 384.65.
\frac{38465}{300}
Expand \frac{384.65}{3} by multiplying both numerator and the denominator by 100.
\frac{7693}{60}
Reduce the fraction \frac{38465}{300} to lowest terms by extracting and canceling out 5.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}