Algebra
93x * 94x = 817x
True or False?
False
Given a right triangle with the side lengths 3 and 4, find the length of the hypotenuse
5
Convert 200 degrees to radians (simplify)
10pi / 9
Find the mean of the following number set: 1,1,1,2,4,5,5,7,8,12
4.6
What is the limit as x approaches infinity of the function 1/x?
0
4x2 + 12x =-5
Solve for the values of x
x = -5/2, x= -1/2
Find the angle θ, given a right triangle with a hypotenuse length of 8.75 and an adjacent side length of 7.8
Round to the nearest thousandth
θ = 26.947
Given an angle with an adjacent side length of 6 and an opposite side length of 5, find the angle
(round to the nearest hundredth)
39.81 degrees
I draw 1 card from a standard 52-card pack of cards. All the cards had an equal chance of being picked. What is the chance I did NOT pick a face card (simplify)?
10/13
What is the vertex of the following function:
f(x) = 4(x+3)2 - 5?
(-3, -5)
5 * 10x/4 = 32
Approximate the value of x to the nearest thousandth
3.225
Find the midpoint of the line segment with the given endpoints (2, -1) and (-4, -3)
(-1, -2)
Find the value of csc2(pi/2)
1
Mr. Holcomb wants to conduct a survey about whether his students think his classes are easy or difficult. In order to obtain responses, he surveys the first three students to enter each of his classes. Why is this method of sampling biased (what is Mr. Holcomb doing wrong)?
Under coverage/underrepresentation, convenience sampling
A farmer has 40 yards of fencing to make a rectangular pen for his cows. What is the maximum area of the pen that the farmer can construct using only the 40 yards of fencing?
100 yds2
Find the horizontal asymptote given the function
f(x) = (7 + 2(4 - x)) / (-8x + 15)
y = 1/4
Find the volume of a hemisphere with a radius of 3.1 cm.
62.4 cm3
A ski slope has a vertical height of 1,100 feet and an angle of elevation of 24.4 degrees. What is the length of the slope?
2,663 ft.
Sam took the SAT and ACT and wants to know which of their scores is better. They got a 1550 on the SAT, where the mean was 1050, and the standard deviation was 200. On the ACT, they got a 35, where the mean was 20 and the standard deviation was 5. What is the test that Sam did better on (and briefly explain your process)?
The ACT
Find the first derivative of the following function in terms of x:
4x2 + 7 - 2x
8x - 2
(-13i + 25)(-10 + 14i)
Multiply the two expressions with complex numbers
480i - 68
Find the area of a hexagon [ABCDEF] given the side length [AB] = 2root(3)
18root(3)
Find sin( 7pi / 12) exactly using an angle addition or subtraction formula
(root(2) + root(6)) / 4
The weather channel states that there is a 30% chance of wind tomorrow (June 1st) and a 70% chance there will be no wind tomorrow. According to your research, after a windy day, there is a 45% chance that the next day will also be windy. After a calm (no wind) day, there is a 20% chance that the next day will be windy. What is the probability that June 3rd will be windy, given that June 1st is windy (hint: draw a tree diagram and calculators are allowed)!
31.25%
Solve the undefined integral in terms of r:
∫ 2sin(3r) + er dr
-2/3cos(3r) + er + c