Quadratic Relations
When a quadratic relation is graphed, the resulting curve is one of these...
A Parabola
Simplify the following expression:
(a^5*a^-2)/a
a^2
This form of interest is calculated by applying the interest rate to just the principal.
Simple Interest
An object that is proportional in size to another object can be called this...
A Scale Model
What are the three main trigonometric ratios?
Sine (sin), Cosine (cos), and Tangent (tan)
The apex of a parabola - the max or min of a quadratic relation - is called this...
The Vertex
In exponential relations, b represents the growth or decay rate. To represent a decay rate, b would need to be...
y=b^x
0<b<1
An investment of $2000 collects simple interest at a rate of 5% per year. The amount of interest earned in 10 years is...
$1000
The Imperial System
This trigonometric ratio is the length of the adjacent side divided by the length of the hypotenuse.
Cosine (cos)
The trajectory of a thrown football is modelled by the equation below (H=height in metres, t=time in seconds). According to the equation, the ball was released from thrower's hand at this height.
H=-0.013t^{2}\ +\ 0.3t+1.65
1.65 metres
According to the growth of a culture of bacteria - given by the equation below - it should take this number of minutes to triple:
P=1000*3^(t/45)
45 minutes
An initial investment of $5000 earns 6% annual interest, compounded monthly. The value of i in the following equation is:
A=5000(1+i)^n
0.5% or 0.005
The arrangement of a 3D solid's faces laid flat on a 2D plane is called this...
A Net
True or False: A triangle with side lengths 6cm, 8cm, and 10cm is a right-angle triangle.
True
A quadratic relation can have zero, one, but no more than two of these...
x-intercepts or zeros
Simplify the following expression:
(b^3)^5/(b^8*b^0
b^7
If an investment is compounded weekly, the amount of compounding periods in 3 and a half years will be this...
182
A car is designed using digital technology. The ratio of the lengths from digital design to actual car length is 1:12. If the drawing measures 1.10 ft, how long is the measure of the car?
13.2 ft
This famous mathematician developed the equation:
a^2+b^2=c^2
Pythagorus
The quadratic equation below has zeros (x-intercepts) at...
y=(x-5)(x+3)
-3 and 5
According to the decay of a radioactive isotope - given by the equation below - it should take this number of years for the mass to reduce to 1/4 of it's size:
P=1000*(1/2)^(t/10)
20 years
If 1 mile is equivalent to 1.6093 kilometres, then 5 kilometres should be this many miles...
Approximately 3.1069 miles