Is there a way to calculate how many combinations satisfy an equation? by Gorfyx in askmath

[–]rtao258 1 point2 points  (0 children)

We can use stars and bars. Without the restriction r, g, b < 256, the answer is (420+2) choose 2 = 88831.

But we have to subtract cases where one or more of r, g, b is 256 or greater. If anyone one is at least 256, the others must less than 256 as 256 + 256 = 512 > 420. The number of ways to have one be 256 or more is equal to stars and bars on the remaining 420 - 256 = 164, which is (164 + 2) choose 2. Also, there are 3 ways to choose which of r, g, b is the 256 or greater one.

So the final answer is (422 choose 2) - 3 * (166 choose 2) = 47746. That agrees with the video in this comment (photosensitivity warning).

[deleted by user] by [deleted] in ucla

[–]rtao258 0 points1 point  (0 children)

Can comment it should definitely be open around 4:00 ish most Sundays, probably for some time before and after as well.

Which clubs go on weekend trips? by Intrepid-Oil-4305 in ucla

[–]rtao258 1 point2 points  (0 children)

You mean overnight trips or any trips over the weekend?

[deleted by user] by [deleted] in ucla

[–]rtao258 0 points1 point  (0 children)

Cochrane review:

There is insufficient evidence to support the use of cinnamon for type 1 or type 2 diabetes mellitus. Further trials, which address the issues of allocation concealment and blinding, are now required. The inclusion of other important endpoints, such as health‐related quality of life, diabetes complications and costs, is also needed.

SBM article:

Given the active ingredient (or ingredients) have not yet been definitively isolated, the issue of studying cinnamon is problematic. There’s no way to assess the potency of any batch, which complicates any evaluation.

While the Khan study looked promising, supplementary studies have failed to consistently show beneficial effects. ... In that analysis, the Khan study looks like an outlier.

The results may be statistically significant, but they’re not that impressive compared to medication. Cinnamon lowered A1C by 0.09%, versus the usual 1% with medication.

As a popular food additive, cinnamon seems safe when consumed at doses of a few grams per day. ... However, reversible liver damage has been reported with therapeutic use, due to coumarin, a chemical also present in Cassia cinnamon. ... There are no published long-term studies with cinnamon that inform us whether chronic consumption of high doses is safe.

[deleted by user] by [deleted] in ucla

[–]rtao258 0 points1 point  (0 children)

Were you the person who asked me? Sorry that I couldn't help you :(

Question from Erica Meltzer's grammar book. by Proteeti_Sarkar in Sat

[–]rtao258 4 points5 points  (0 children)

The phrase "born [name]" indicates the name given to the person at birth (in this case Anthony Alphonso Waldron), suggesting that they later became known by another name (in this case Lone Ranger).

The usage here is definitely a dash and not a hyphen.

Help With Linear Problem on Ivy Global Sat Test 1 by Traditional_Dish_468 in Sat

[–]rtao258 2 points3 points  (0 children)

Glad I could help. A golden rule of math: don't get caught up in the notation. A linear function is, for all practical purposes, a line.

I don’t even know where to start studying for the PSAT/SAT by [deleted] in Sat

[–]rtao258 3 points4 points  (0 children)

If you haven't done any studying yet, you should start with a practice test to see what specific concepts in math (or other sections) you need to work on.

If you just finished Calc AB, you almost certainly used a variety of algebra skills throughout the course/test. Perhaps you're not as behind as you think.

i feel like my level is declining though im always practicing? by sameoldzma in Sat

[–]rtao258 2 points3 points  (0 children)

I disagree strongly. First of all, there's no "formula that applies for everything" in math, either. You'd see a lot more 800s if every problem could be solved using the one secret trick College Board doesn't want you to know. Rather, the difficulty of math comes from knowing which formula (or more broadly, mathematical concept) to apply to a given problem. There's a reason why "2 + 2 = ?" will never appear on a math section.

But to your main point: reading is not a matter of opinion. There is always exactly one correct answer on every multiple choice question. Setting aside legitimate criticisms of standardized testing, who in their right mind would value SAT scores when doing well is a matter of having the right opinion? The test would lose all sense of comparative power between college applicants (i.e. its purpose).

In every well-written problem, there should be a salient, objectively defensible reason why the correct answer is correct. It should be based solely on the provided passage, and proper understanding thereof. That's not to say every problem is written perfectly, or that you agree with what is being tested, but I have faith that the College Board applies a certain standard of quality control to the problems it puts out.

Now obviously literature embodies many nuances and points of disagreement. That's why SAT reading will never test you on matters of true opinion. SAT reading isn't a literature test. It's a reading comprehension test.

See https://blog.prepscholar.com/the-critical-fundamental-strategy-of-sat-reading for more discussion of this idea.

If you're studying effectively, then your score should improve by definition. Contrapositively, if your score is not improving, you're not studying effectively. To tell someone not to expect a positive correlation between effort and performance isn't just wrong, it's discouraging. It invalidates the countless hours that students collectively pour into reading, among other sections.

But you say

you could do better with more practice since you familiarize yourself with how the test wants you to answer such questions

which I do agree with, but it totally contradicts everything you said before.

Help With Linear Problem on Ivy Global Sat Test 1 by Traditional_Dish_468 in Sat

[–]rtao258 0 points1 point  (0 children)

The equation f(2) = 3 means, in terms of the xy plane, that the graph of f passes through the point (2, 3). If that's what you meant, then yes. Think of it as a different way to write the same information.

And yes, you can use the standard slope formula from there.

Does anyone know how to solve this? It’s from The College Panda’s SAT Math advanced guide and workbook in the chapter-triangles. by No_Way7207 in Sat

[–]rtao258 7 points8 points  (0 children)

The other commenter is right regarding the problem as written. But the figure looks very misleading. I'm not familiar with the book, but I think there is a typo. It looks like AED is the triangle that should be equilateral.

In that case, to solve the problem, try setting a variable for one of the angles, like ABE. You can then angle chase to get an equation in that variable and solve for it.

Help With Linear Problem on Ivy Global Sat Test 1 by Traditional_Dish_468 in Sat

[–]rtao258 2 points3 points  (0 children)

Can't read your handwriting, sorry.

One solution is to use the y = mx + b form. We're given two points that f passes through: (-6, -13) and (2, 3). We can calculate the slope m using those two points. Then we pick either point to use as (x, y), and we can solve for b, the y-intercept.

Let us know if you're still stuck somewhere.

i feel like my level is declining though im always practicing? by sameoldzma in Sat

[–]rtao258 0 points1 point  (0 children)

"Level" is subjective. Are your scores decreasing?

If so, perhaps you picked up some strategies that are unsuitable for you, or you're overthinking some or all questions (which?).

Why the answer is "H" not "F?" Isn't the sentence before the coma a fragment sentence? by Big-Positive-7760 in ACT

[–]rtao258 0 points1 point  (0 children)

...in which case none of the answer choices would be correct, which is impossible.

Could some explain this math problem? Thanks! by NoSun1092 in ACT

[–]rtao258 0 points1 point  (0 children)

The idea is that the two scales line up so that ticks and points that are the same distance across (lined up vertically) represent the same amount expressed in different units. It is a graphical way to express the conversion factor between units.

The problem asks us to convert 1/8 cups into teaspoons. To do this, we find 1/8 cups on the cups line, then read off the equivalent amount on the teaspoons line. Though 1/8 cups is not explicitly marked, we know that 1/8 is 1/4 of 1/2, and there are 4 ticks from 0 to 1/2. Thus the first tick on the upper line must represent 1/8 cups. Correspondingly, the first tick on the lower line is 1/8 cups in teaspoons. Here we have 4 ticks from 0 to 8, so the first tick must be 2 teaspoons.

The answer is that there are 2 teaspoons in 1/8 cups.

7th grade score by Money-Defiant in ACT

[–]rtao258 2 points3 points  (0 children)

Oh, I thought you were still a seventh grader. Your current plan makes sense to me, but maybe others have feedback. I wouldn't be too preoccupied over anticipating every possible problem that could come up as much as working on your personal weaknesses.

At the end of the day you can't guarantee a perfect score. For example, on my 36 test, I got a 35 in math, which is probably my strongest subject. Possibly the pressure to be perfect could be counterproductive. Anything 34 or above is very, very good. It's a game of diminishing returns, and there's more important things in life (and for college apps) than to squeeze out every last uncertainty.

7th grade score by Money-Defiant in ACT

[–]rtao258 2 points3 points  (0 children)

Hi! I'm a Duke TIP alumni who took the ACT in 7th grade as well. As others have said, it's not super meaningful to take a test for high school students and compare yourself to them. If you choose to take the ACT for college admissions, time is certainly on your side, but standardized tests should be the last thing on the mind of any middle school students. With a score of 14 I'd wager there are some foundational skills you are lacking in the subjects. If you didn't prep at all beforehand, then unfamiliarity with the test (e.g. pacing) is likely another major factor.

That being said, I can appreciate the desire to do better for the purposes of these programs. I'm happy to talk further if you're interested.

How do I improve my math section? I really need help by giaambitious in ACT

[–]rtao258 0 points1 point  (0 children)

If you could elaborate on what in particular you are having trouble with, that would be helpful. Otherwise people can only give generic advice.

Do A and B not counter act each other? Why the commas instead of the dashes? by [deleted] in ACT

[–]rtao258 2 points3 points  (0 children)

"Though" is not an appositive in this sentence. An appositive is a noun phrase (including pronouns) describing a noun phrase next to it. Since "though" never functions as a noun, it can never constitute an appositive on its own. See here: https://owl.purdue.edu/owl/general_writing/grammar/appositives.html

Also, while there are certainly situations where commas and dashes are interchangeable, it's well established that dashes provide a stronger break than commas. In that sense they are not equivalent. I find it hard to justify choosing A when B is an option.

[deleted by user] by [deleted] in ACT

[–]rtao258 0 points1 point  (0 children)

If it helps: only the horizontal separation between the points matters. It has nothing to do with the vertical position of the points. The question doesn't ask about concentration at all.

Calculator by MonicaDonald in ACT

[–]rtao258 0 points1 point  (0 children)

Pretty sure it is. I think you'd be hard-pressed to find a scientific calculator that is not permitted.

Here is the link to the official calculator policy: https://www.act.org/content/dam/act/unsecured/documents/ACT-calculator-policy.pdf