Show:
Probability
Trig
Matrix
Sequence and Series
Equations and Inequalities
100
Paul has 4 shirts, 5 pairs of jeans, and 6 sweatshirts. How many different outfits, each composed of a shirt, a pair of jeans, and a sweatshirt, can he make?
120
100
What is the amplitude of the function f(x)=2sin(6x+5)-7; where x is measured in radians?
2
100
What is AB? A= [-3 1] B= [2 6] [ 6 0] [5 1]
[-1 -17] [12 36]
100
Find the 101th term of this arithmetic sequence. 5, 8, 11, 14, 17, ...
305
100
Simplify [(3a+4)+(5a-4)]-[(2a-6)-(7a+9)]
13a+15
200
The yearbook staff includes 10 photographers. One photographer needs to cover a dance, and another needs to cover a basketball game. In how many ways can photographers be assigned to these events?
90
200
What is the radian equivalent to three and one-quarter revolutions clockwise?(your answer should have a pi in it)
-(13pi/2)
200
What is the inverse of [3 6] [9 12]
[-2/3 1/3] [1/2 -1/6]
200
Given an arithmetic sequence in which a1= 3, a5= 19 and an=163, what is n?
41
200
What are the solutions to the equation |2x+4| = 12- |x-5|?
-11/3 and 3
300
Sidney wants to know the probability of Even C, given that Event B has occurred. What is the correct format for writing this conditional probability?
P(C|B)
300
Where do the minimum values of y=sin x occur on [-2pi, 2pi]?
-(pi/2) and (pi/2)
300
Evaluate [4 9] [3 -6]
-51
300
Harold is starting a new workout program in which each day he will complete 4 more push-ups than the day before. If he starts with 5 push-ups on the 1st day, how many push-ups will he do on the 13th day?
53 push-ups
300
What is the solution to the compound inequality 4x+6<10 or (x/2) +3>6 ?
x<1 or x>6
400
Liza has a bag of 15 stones: 8 blue and 7 purple. If Liza picks 2 blue stones and does not return them to the bag what is the probability that she will pick a purple stone next?
7/13
400
What is the equation for the asymptote of y=tan(x-(pi/4))=(pi/2) on the interval [0, pi]
x = (3pi/4)
400
State what you would have to do to solve the following problem: Carlos has investments in Funds A,B, and C. Each fund invests money in both stocks and bonds. The matrices show the dollar amounts invested in each fund and the annual yields. Use this information to determine how many dollars Fund B will earn in one year. stocks bonds A[ $10,000 $10,000] B[ $15,000 $ 5,000 ] C[ $ 5,000 $25,000] stocks[.06] bonds[.04]
Multiply the two matrices together.
400
Aiden and Fenny are each creating a trapezoidal brick patio in their gardens. In total , Aiden uses twice the number of bricks that Fenny uses. The first row of Fenny's pattern has 9 bricks . The last row in Fenny's pattern has 25 bricks, with n rows. Given that this pattern follows an arithmetic sequence, how many bricks are in Aiden's garden?
34n
400
The following polynomial has what type of roots and how any of each? (real, imaginary) 3x^3 -8x^2 -185x +126 = 0
3 real roots
500
A standard deck of playing cards has 52 cards. The deck has the same number of black and red cards and has 4 kings, two red and two black. What is the probability of randomly picking a King or a black card from a standard deck?
28/52
500
An angle, A, in standard position on the unit circle has its terminal side in Quadrant III. If tan A= 4/3 what is sin A?
4/5
500
x + [1 3] [6 2] [5 6]= [12 13][16 9 ] [15 4 ] Solve for x.
[11 10] [10 7 ] [10 -2]
500
A career adviser tells Ming that a financial consultant earns $43,000 for the first year, and there is a 4% annual pay raise. If Ming takes a job as a financial consultant, what will be her highest annual salary after working a total of 35 years?
$163,155.60
500
Given x > 0, at which value of x will y2-y1 = 2? y1= 2x^2 -2x+5 y2 = 3x^2 -5x+7
3