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Functions
Logarithms
Trigonometry
Trig Applications
Combinatorics
100
f(x)= 7x if x<0; x+4 if 0<=x<=2; (x-2)^2 if x>=2 Find: f(-7), f(0), f(4)
What is -49, 4, 4
100
Domain of f(x)=log(x^2-1)
What is x<-1 or x>1
100
What is the amplitude, period and phase shift y=4cos(x+Pi/3)
What is amplitude - 4 period - 2Pi phase shift - (-Pi/3)
100
Use the Law of Sines to find the angle B, when C=62 degrees b=56.7 c=80.2
What is 38.6 degrees
100
How many ways can 5 different jobs be assigned to 5 people in a group of 12?
What is 95,040
200
A ball is thrown across a playing field. Its path is given by the equation below, where x is the distance the ball has traveled horizontally, and y is the height above ground level, measured in feet. y=-0.005x^2 + x + 10 a) What is the maximum height attained by the ball? b) How far has it traveled horizontallly when it hits the ground?
What is a) 60 ft, b) 210 ft
200
Expand log[(x^7)/(yz^3)]
What is 7log(x)-log(y)-5log(z)
200
Find a function that models the simple harmonic motion with the given properties. Assume that the displacement is at its maximum at time t=0 amplitude - 9in frequency - 90 hz
What is f(t)=9cos(180(Pi)t)
200
Use the Law of Cosines to determine side a, where A=89 degrees c=2 b=8
What is 8.21
200
Find the fourth term of the expansion of (x - 3)^10
What is -3240x^7
300
Find the domain of the function f(x) = [(x+8)^(1/2)]/( x-1)
What is -8<=x<1 or x>1
300
Find the solution e^(4x)=19
What is 0.7361 or ln(19)/4
300
The measure of an angle in standard position is given. Find two positive angles and two negative angles between -720 and 1080 that are coterminal with the given angle 120
What is -600, -240, 480, 840
300
Find the exact value cos(cos^(-1) (9/14))
What is 9/14
300
Your company has an inventory of 1000 electronic parts. You know 5% are defective, but you do not know which parts. To fill an order, you select 50 parts at random. What are the chances that the shipment has no more than 1 defective part?
What is 27.9%
400
f(x)=4/x g(x)=3x+9 (fog)(x)
What is 4/(3x+9)
400
Solve log (x - 7) = 4
What is 10007
400
Find the exact values of the six trigonometric ratios of the angle t if sin(t)=9/41
What is cos(t)=40/41 tan(t)=9/40 csc(t)=41/9 sec(t)=41/40 cot(t)=40/9
400
Rewrite the expresion as an algebraic expression in x sin(tan^(-1)(12x))
What is 12x/(1+144x^2)^(1/2)
400
A lottery offers a $2,00 first prize, ten "second prizes" of $500 each, and 100 "third prizes" worth $24 each. All 5000 tickets are expected to be sold. What is a fair price to pay for a ticket?
What $1.90
500
Find the inverse function of f f(x)=2x-5
What is (x+5)/2
500
Solve log 4 + log x = log 6 + log (x-3)
What is 9
500
From the top of a 225 ft lighthouse, the angle of depression to a ship in the ocean is 23. How far is the ship from the base of the lighthouse? Round to the nearest foot.
What is 530ft
500
Find all solutions of the equations. Enter each answer in the form t+2(Pi)k where 0<=t<2(PI) (2cos(x)+1)(2 sin(x) - 3^(1/2))=0
What is Pi/3 + 2Pik 2Pi/3 + 2Pik 4Pi/3 + 2Pik
500
A test is devised to help detect a disease which occurs in 5% of the population. The test is 90% accurate, that is, it gives a positive result for 90% of the infected people and a negative result for 90% of the uninfected people. If you test positive, what is the probability that you actually have the disease?
What is 32%