Trignometry
A right triangle has a sin of 3/5. Find the tan.
tan=3/4
3 students were picked for president, vice president, and secretary. Is this a permutation or combination?
Permutation
2,4,6,8,10
Is this an arithmetic or a geometric sequence?
Arithmetic
Simplify (4x2-9)
(2x+3)(2x-3)
If the function f(x)=x2 was changed to f(x)=1/4x2, how would the function transform?
It would stretch horizontally.
Given the point (6,8) on the terminal side of triangle X, find the csc.
cscX=5/4
13 children tried out to be on the swim team. How many possibilities are there for 8 children to be picked?
1287 possibilities
What is the value of the 6th term is an arithmetic series with a1=4 and d=3?
19
Simplify the following equation:
12x6+6x2-15x
f(x)=(x+3)2 would make the graph_______.
Shift 3 units to the left
A hiker has attached a rope to the top of a hill that is 95 feet long. The angle of elevation from the hiker to the hilltop is 32 degrees. How tall is the hill?
132.48 feet
How many ways can we award a 1st, 2nd, and 3rd prize to 10 students?
720 ways
What are the five terms of a geometric sequence wherein a1=2 and r=3?
2, 6, 18, 54, 162
Solve:
5x2+3x-2
(5X-2)(X+1)
Function A is f(x)=2(x+3)2.
How will the function change if the graph shifts up 7 units?
f(x)=2(x+10)2
Convert the degree measures to radians:
315 degrees
7pi/4
For a lock combination, there are 10 numbers to chose from (1,2,3,4,5,6,7,8,9,0). How many possible ways are there to chose 3 numbers?
1,000 ways
What is the 10th term in the following geometric sequence?
0.2, 1, 5, 25, 125
390,625
A function crosses (4,-7), (3,0), and (9,0).
What are the zero(s) of this function?
3
The vertex on the graph of the function f(x) is (-4,-9). What will the vertex be if the function is f(x)=x+7?
(-4,-2)
Evaluate cos(pi/3) by using the unit circle.
1/2
How many ways can the letters from the word FRUIT be rearranged to form other 5-letter words without any repeating letters?
120 words
What is the sum of the first 10 terms of the following arithmetic series?
2,9,16...
335
If f(x)=3x4-7x, what is the value of f(-3)?
264
Function A is f(x)=1/3(x-9)2+4.
It has transformed 11 units right and 3 units down. What was the original function?
f(x)=1/3(x+2)2+7