Trigonometry
True or False: You can use the Pythagorean theorem to solve for a missing side of an acute triangle?
False.
x0 =
1
The apex of a parabola - the max or min of a quadratic relation - is called this...
Vertex
What is the mode for the following set of numbers?
1,6,2,8,2,2,5,9
2
True or False. Simple Interest is the same as Compound Interest.
False
This trigonometric ratio is the length of the adjacent side divided by the length of the hypotenuse.
Cosine
When we multiply by the same base, we _____ the exponents.
ADD
When a quadratic relation is graphed, the resulting curve is one of these...
Parabola
What is the difference between theoretical and experimental probability?
Experimental - looking at results of a simulation
Theoretical - in theory this should happen based on what we know
Jen needs to borrow $2000. Which loan should she take?
A. $2000 for 3 years at 9% per year, compounded quarterly.
B. $2000 for 3 years at 9% per year, compounded semi-annually.
Loan B
True or False. When we have three side lengths of an acute triangle, we can only use the cosine law to solve for an angle.
True
Evaluate: ((-4)0)7
1
What is the vertex of the function y=2(x-3)2+12
Vertex: (3, 12)
In a standard deck of 52 cards what is the probability of drawing a diamond or a club?
26/52 = 1/2
If an investment is compounded semi annually, the amount of compounding periods in 3 and a half years will be this...
7
Solve for x in:
sin50=6/x
x=7.8
Simplify: (x)5 x (x)7 / (x)6
x6
The quadratic equation below has zeros (x-intercepts) at...
y=(x−5)(x+3)
5 and -3
What is the median for the following set of numbers?
5,8,1,3,9,3,4
4
Show the growth of a $1000 investment, at 7% per year, simple interest for 4 years.
$1280
A ladder is leaned so that it makes a 30 degree angle with the wall. If the ladder is 4.0m long, how far is the top of the ladder from the ground? Please draw a diagram to show your work.
Use cos = h/4.0
h= 3.5 m
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⋅3t/45
45 minutes
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=−0.013t2 + 0.3t+1.65
1.65 metres
What is the mean for the following set of numbers?
5,1,8,3,2
3.8
An initial investment of $5000 earns 12% annual interest, compounded quarterly. The value of i in the following equation is:
A=5000(1+i)n
0.03 or 3%