UIL General Math Flashcards

0.0(0)
studied byStudied by 0 people
0.0(0)
full-widthCall Kai
learnLearn
examPractice Test
spaced repetitionSpaced Repetition
heart puzzleMatch
flashcardsFlashcards
GameKnowt Play
Card Sorting

1/26

encourage image

There's no tags or description

Looks like no tags are added yet.

Study Analytics
Name
Mastery
Learn
Test
Matching
Spaced

No study sessions yet.

27 Terms

1
New cards
Combining Rates
1/(person A’s rate) + 1/(person B’s rate) = 1/(their combined rate)
2
New cards
nth row of Pascal’s Triangle
(n n) (n n-1) (n n-2)...
3
New cards
Binomial Theorem (a+b)^n =
Sum from k=0 to n (n k)a^(n-k)b^k
4
New cards
Amplitude
The maximum distance the graph goes from the midline (Equals absolute value of the coefficient of the trig function)
5
New cards
Midline
The horizontal line exactly halfway between the minimum and maximum (Equals the constant outside of the trig function)
6
New cards
Period
How long it takes to return to the same y-value and direction on the graph (Equals 2pi/absolute value of coefficient of x within the trig function)
7
New cards
Bearings
The angle in degrees measured clockwise from north
8
New cards
Repeating Decimals in Other Bases
Convert to base 10 then find repeating decimal sum using geometric series then find base 10 fraction then convert back to original base
9
New cards
Achilles paradox
Zeno
10
New cards
Harmonic Number
Sum of first n reciprocals
11
New cards
Abscissa of a Point
The x-coordinate
12
New cards
Ordinate of a Point
The y-coordinate
13
New cards
Harmonic Mean of n numbers
n/(1/x1+1/x2+...1/xn)
14
New cards
Odds
Favorable outcomes to unfavorable outcomes
15
New cards
Lateral Area
The area of a shape excluding the bases
16
New cards
Radius of the Circumcircle of a Triangle
R=a*b*c/(4A) where a b and c are the sides and A is the triangle’s area
17
New cards

Rotation of 90 clockwise of (x, y)

(y, -x)

18
New cards

Rotation of 180 clockwise of (x, y)

(-x, -y)

19
New cards

Rotation of 270 clockwise of (x, y)

(-y, x)

20
New cards

Vertical stretch by a of (x, y)

abs(a) > 1, (x, a*y)

21
New cards

Vertical compression by a of (x, y)

0<abs(a)<1, (x, a*y)

22
New cards

Horizontal stretch by b of (x, y)

0<abs(b)<1, (x/b, y)

23
New cards

Horizontal compression by b of (x, y)

abs(b)>1, (x/b, y)

24
New cards

Contraharmonic mean

(x1^2+x2^2+...+xn^2)/(x1+x2+...+xn)

25
New cards

Shortest distance between a point (x1, y1) and a line (ax+by+c=0)

abs(a*x1+b*y1+c)/sqrt(a²+b²)

26
New cards

Heronian Mean

The average of the numbers and their geometric mean

27
New cards

Finding the Politeness of a Number

Factor out all powers of 2 and prime factorize the resulting odd number. Add one to each exponent and multiply those and subtract one from the product.