Trigonometry
True or False: You can use the Pythagorean theorem to solve for a missing side of an acute triangle?
False.
x0 =
1
The zeros are the maximum point on a parabola.
False.
What are some of the different experiments we did in class for probability?
Dice, Cards, coins
True or False. Simple Interest is the same as Compound Interest.
False
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
When we multiply by the same base, we _____ the exponents.
ADD
Write x2+x-12 in factored form
(x+4) (x-3)
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 9.2% per year, compounded quarterly.
B. $2000 for 3 years at $10% per year, compounded semi-annually.
Loan A…
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
Therefore…
Evaluate: ((-4)0)7
1
Describe the transformations for y=2(x-3)2+12
Vertex: (3, 12)
vertical stretch
up 12
right 3
step pattern: 2, 6, 10
In a standard deck of 52 cards what is the probability of drawing a diamond or a club?
26/52 = 1/2
When do I use present value?
When we see “right now”
Solve for x in:
sin50=6/x
x=7.8
Simplify, then evaluate: (-2)5 x (-2)7 / (-2)6
64
When the second differences are equal, the relation is…
Quadratic
If a set of two dice are rolled together what is the probability of rolling a 7?
6/36 =1/6
Show the growth of a $1000 investment, at 7% per year, simple interest for 4 years.
$1280
Kendra is in a hot air balloon 120m off the ground. She ties the end of a red rope and the end of a green rope to her basket. Kendra then drops the spool of each rope down to the ground where her two sisters Emma and Jen, each take one of the ropes on either side of the balloon, and anchor it to the ground. If the red rope is 122m long and the green rope is 158m long, how far apart are the two girls?
124.8 m apart
Describe and show the difference between linear, quadratic and exponential functions and graphs.
Linear - straight line
Quadratic - parabola
Exponential - comes close to x axis but never touches
How do I find the vertex given the zeros?
Axis of symmetry
add zeros and divide by 2
sub in value into original equation for x and solve for y value
Calculate the mean, median, mode and standard deviation for this data set.
20, 11, 6, 24, 18, 12, 10, 19Mean - 15
Median - 15
Mode - no mode
Standard Deviation - 6.11
Kevin is saving for his university education. His goal is to have $4000 in his savings account for the first day of university, which is exactly 2 years from now. His savings account collects interest at 2.1%/a compounded monthly. What balance needs to be in the account right now to meet his goal?
$3835.62