Algebra, arithmetic, reasoning.
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There are 3 favourable outcomes out of 7 equally likely outcomes, so P(red)=3/7.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
f′(x)=6x²+6x. Substituting x=2 gives 36.
An antiderivative is 2/2 x²+2x. At x=3, the value is 15.0.
Subtract 4 from both sides and divide by 3: x = (10-4)/3 = 2.
By Vieta’s formula, the sum of the roots equals the coefficient 8.
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A square matrix is invertible only when its determinant is nonzero.
A zero determinant means the matrix is singular.
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Pie-chart size is proportional to sector angle.
The largest angle, 108°, represents the largest part.
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Use a² + b² = (a + b)² - 2ab.
Thus, 144 - 70 = 74.
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The increase is 210 - 120 = 90 units.
The percentage increase is 90/120 × 100 = 75%.
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The six-month total is 6 × 80 = 480 mm.
The missing month is 480 - 370 = 110 mm.
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Add the geometric terms directly.
Their total is 31.
