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Semi-Colon “;”
Connects 2 independent clauses
Linked 2 related complete sentences
Breaking down inside of a list
Colon “:”
Focuses on what’s upcoming
Introducing a list
Connects a general statement to a specific explanation
How should we tackle the english section (in order of events)?
Synthesis, Transitions, Grammar, Underlined Sec., Vocab, Etc
Mean
Sum of set of numbers divided by the numbers in the set.
Median
The middle number when data arranged from least to greatest.
Mode
The number that occurs most often
Range
Difference between the highest and lowest.
Standard Deviation
Standard deviation measures how close things r to the eye
Long vs Small Stdv
Small is very tall and slim, a large is much more widespread and short. Lets say tall looks like Captain clark and large is the blob from hivmind.
Left/Negative Skewed
Mean < Median < Mode.
small valiues to a hill on the rirght
Right/Positive Skewed
Mode < Median < Mean.
The long tail extends to the right (toward higher values).
Whats greater in a symmetric? Mean or Median?
None =
To that end,
"to achieve that goal." Signals the next sentence explains an action taken to accomplish something just mentioned.
Granted,
"I admit this is true, but..." Almost always followed by a "however" type contrast later.
That said,
Same idea: "Even given what I just said, here's the other side."
Of course,
"Naturally" / "as you'd expect." It signals that what follows is an obvious, unsurprising, or already-expected point — often right before a contrast.
Again and again,
Something happens repeatedly. Signals a pattern or recurring example, not a logical shift.
Indeed,
"In fact" / "yes, and even more so." It takes the previous statement and strengthens it, often with a more emphatic or specific version of the same idea.
That is,
"In other words." What follows restates or clarifies the previous point more precisely — not new info, just sharper phrasing.
Hence,
"Therefore." Introduces a conclusion or result that logically follows.
Accordingly,
Also "therefore/as a result" — one thing happened, so this happened in response.
As such,
"In that capacity" or "therefore" — ties a conclusion back to something's stated nature/identity.
Conversely,
“On the other hand" — introduces an opposite or reversed idea.
Alternatively,
Introduces a different option or possibility, not necessarily opposite, just another path.
What's more,
"And in addition to that" — adds a stronger or more surprising point on top of what was said.
Moreover,
Same function, adding supporting info — slightly more formal/academic tone than "what's more."
Fittingly
Signals that what follows matches or is appropriate given what came before (not a logical result, more like "this makes sense given that").
y = mx +b
slope-intercept form
Ax+By=C
Standard form
y = a(1+r)t
exponential form
A is the y intercept
ax²+bx+c → b² - 4ac
Discriminant
>0 → two real solutions G2
= 0 → one real solution =1
< 0 → no real solution L0
y = ax²+bx+c
Standard form of a quadratic
x = -b/2a
min or max finder
y = a(x-h)²+k
vertex form
y = a(x - p)(x - q)
factored form of a quadratic
-b/a & c/a
sum & product of a quadraticA
Adjacent to left/oppo = Adjacent to right/oppo
Agnel bisector theorem
SA of a Cube
6s²
SA of a Rectangle
SA = 2(lw + lh+ wh)
SA of Sphere
SA = 4πr²
SA of Cylinder
2πr²+2πrh
SA of Cone
SA = πr²+πrl (L is slant height)
l = sqrt of (r²+h²)
SA of Pyramid
Base Area + (perimeter of base x slant height) /2
Radius on desmos
distance (a,b) /2
Geom Ratios
Square ratio → square it → SA
Cubic ratio → cube it → volume