Free HSC Year 11 Mathematics Standard Flashcard Review
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Speed formula
S = D ÷ T
Convert km/h to m/s
Divide by 3.6
Stopping distance
Reaction distance + braking distance
Effect of doubling speed on braking distance (d = kV²)
Braking distance is multiplied by 4
Male BAC formula
BAC = (10N − 7.5H) ÷ (6.8M)
Female BAC formula
BAC = (10N − 7.5H) ÷ (5.5M)
Time for BAC to reach zero
Time = BAC ÷ 0.015 hours
Clark's formula
Dose = mass (kg) × adult dose ÷ 70
Young's formula
Dose = age × adult dose ÷ (age + 12)
Fried's formula
Dose = age in months × adult dose ÷ 150
Make x the subject of y = ax² + c
x = ±√((y − c) ÷ a)
Give one limitation of BAC formulas
They ignore food eaten, health, medication and individual metabolism
What is the formula for gradient between two points?
m = (y₂ − y₁) ÷ (x₂ − x₁), i.e. rise ÷ run.
In y = mx + c, what do m and c represent?
m is the gradient; c is the y-intercept.
Gradient of a horizontal line?
0
Gradient of a vertical line?
Undefined (the run is zero).
Gradient and y-intercept of y = 7 − 3x?
m = −3, c = 7.
Rewrite 2x + 5y = 10 in gradient–intercept form.
y = −0.4x + 2
In a linear model, what does c usually mean in context?
The initial value (the value when x = 0).
In a linear model, what does m usually mean in context?
The rate of change of y per unit of x.