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What is the circumference of a circle?
Circumference = 2πr (or πd) Where: - r = radius - d = diameter Example: Circle with radius 7 C = 2 × π × 7 = 14π ≈ 43.98 units view more
Science & Nature
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What is the FOIL method?
FOIL = First, Outer, Inner, Last Used to multiply two binomials (a+b)(c+d): - First: a × c - Outer: a × d - Inner: b × c - Last: b × d Example: (x+2)(x+3) = x² + 3x + 2x + 6 = x² + 5x + 6 view more
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How do you factor x² + 5x + 6?
x² + 5x + 6 = (x + 2)(x + 3) Method: 1. view more
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How old is the universe?
Approximately 13.8 billion years Originated from the Big Bang. view more
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What is the difference between mean and median?
Mean = average (sum ÷ count) Median = middle value when sorted Example: [1, 2, 3, 4, 100] - Mean: 22 - Median: 3 Median is less affected by outliers (better for skewed data). view more
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What is 2/3 divided by 1/2?
2/3 ÷ 1/2 = 4/3 (or 1⅓) To divide fractions, multiply by the reciprocal: 2/3 × 2/1 = 4/3 4/3 = 1 and 1/3 view more
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What is the speed of light?
299,792,458 meters per second Approximately: - 300,000 km/s - 186,000 miles/s Denoted as "c" in physics. view more
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What is an ionic bond?
A bond formed by electron transfer between atoms. view more
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What is Newton's First Law?
Law of Inertia: An object at rest stays at rest, and an object in motion stays in motion at constant velocity, unless acted upon by an external force. view more
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How do you convert 3/4 to a decimal?
3/4 as a decimal is 0.75 Simply divide the numerator by the denominator: 3 ÷ 4 = 0.75 Equivalent forms: - Decimal: 0.75 - Percentage: 75% - Fraction: 3/4 or 6/8 view more
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What is 12 squared?
12 squared is 144. view more
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What is Newton's Second Law?
F = ma (Force = mass × acceleration) Example: - Mass: 10 kg - Acceleration: 2 m/s² - Force: 10 × 2 = 20 Newtons The unit of force (Newton) is defined as kg⋅m/s². view more
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How do you solve |x - 3| = 5?
x = 8 or x = -2 Absolute value equations |A| = B have two solutions: Case 1: x - 3 = 5 x = 8 Case 2: x - 3 = -5 x = -2 view more
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What is climate change?
Long-term shifts in global temperatures and weather patterns. view more
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What is 30% of 150?
30% of 150 is 45. view more
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What is the pH of pure water?
pH 7 (neutral) The pH scale: - 0-6: Acidic - 7: Neutral - 8-14: Basic (alkaline) Pure water has equal concentrations of H⁺ and OH⁻ ions. view more
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What is the volume of a sphere?
Volume = (4/3)πr³ Example: Sphere with radius 3 V = (4/3) × π × 27 = 36π ≈ 113.1 cubic units view more
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What is the LCM of 4 and 6?
The LCM (Least Common Multiple) of 4 and 6 is 12. view more