Evaluate
301.5
Factor
\frac{67 \cdot 3 ^ {2}}{2} = 301\frac{1}{2} = 301.5
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\frac{900}{4}\left(0.62+0.18+0.05+0.49\right)
Calculate 30 to the power of 2 and get 900.
225\left(0.62+0.18+0.05+0.49\right)
Divide 900 by 4 to get 225.
225\left(0.8+0.05+0.49\right)
Add 0.62 and 0.18 to get 0.8.
225\left(0.85+0.49\right)
Add 0.8 and 0.05 to get 0.85.
225\times 1.34
Add 0.85 and 0.49 to get 1.34.
301.5
Multiply 225 and 1.34 to get 301.5.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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}