rebel

Algebra

Percents:

Percent Change= Change/Original × 100

Part = Percent /100 × Whole

Examples:

75% of 300 is what?

Solve x = (75/100) × 300 to get 225

45 is what percent of 60?

Solve 45 = (x/100) × 60 to get 75%

Example: 30 is 20% of what?

Solve 30 = (20/100) × x to get 150

Average Speed = total distance/total time

Distance =rate × time

 FOIL: (x + a)(x + b) = x ^2 + (b + a)x + ab

Difference of Squares:

a)     a ^2 − b ^2 = (a + b)(a − b)

b)    a ^2 + 2ab + b^ 2 = (a + b)(a + b)

c)     a ^2 − 2ab + b^ 2 = (a − b)(a − b)

Distance Formula:  SQRT (x2 − x1) ^2 + (y2 − y1) ^2

Mid-point of the segment AB: x1 + x2 /2, y1 + y2/2

Slope of the line: y2 − y1 / x2 − x1 = rise run

Geometry

Opposite Angles are equal, so a+b and 180 degrees.

All the “a’s” are equal and all the “b’s” are equal. Any “a” plus any “b” equals 180 degrees.

 Right Triangle Formulas***

Triangle area= ½*b*h ***

Angles in a triangle add up to 180 degrees.***

 Circles

Area of a Circle = πr2 ***

Circumference = 2πr ***

Full circle = 360◦ ***

Length Of Arc = (n ◦ /360◦ ) × 2πr

Area Of Sector = (n ◦ /360◦ ) × πr2

 Total number of degrees in the interior of an n-sided polygon= (n-2) × 180 where n is the number of sides.

For example, an eight-sided polygon (or octagon) has:

(8 – 2) · 180 = 6 · 180 =  1080 degrees

 Arithmetic

Arithmetic sequence formula: an=a1+d(n-1)

a1=first term, d =distance between the numbers, and n= term to find

Example: Find tenth term in 3,7,11….

a10=3+4(10-1)= 63

Geometric sequence formula: an=a1×r(n-1)

a1=first term, r =rate  between the numbers, and n= term to find

Example: Find 6th term in 3,6,12…

a6=3×2(6-1) = 3×2 5=3×32= 96

Functions

I was putting together a cheat sheet for studying for the math section of the SAT. Hope this helps some of you! :)

I just went through and unfollowed everyone who has not posted in months or years (!) and noticed just how many studyblrs had gone inactive! My heart was so heavy to see some names I used to love be inactive for 6 months, 10 months, a year. 

While most of the studyblr community is really empowering, uplifting and inspiring, there are also ideals and misconceptions that are really harmful, so please always keep in mind:

You don´t need straight A´s. In some subjects, or basically in life, passing is sometimes enough. Don´t expect yourself to get only straight A´s and destroy yourself for these grades.

Your health, physical and mental, is more important than your grades.

Not everyone enjoys studying. Some studyblrs may be there because they try to motivate themselves, not because they love studying.

You don´t need expensive stationery. Cheap ones are more than enough.

You don´t need to wish for stationary for christmas or your birthday. Wish for something your really want and what brings you joy.

Staying up all night and having only 4 hours of sleep is not healthy!

Drinking multiple coffees per day every day is very bad for your stomach and heart!

Being productive can mean lots of things. It means something different for everyone, and while for some of us it means studying 8 hours a day, for others it may mean 2 hours, or maybe just organizing and sorting out stuff.

Not every day is the same. While today may be wonderful and productive, tomorrow may be not so productive. You are a human being, not a machine.

Honestly, being 100 days in a row productive is more harmful than helpful. Take that day off if you need too!

Your bullet journal must not be perfect or artsy. As long as it helps you organize your stuff and as long as you are happy with it, everything is fine!

You don´t need to do calligraphy to be a studyblr or a good student.

You don´t need to rewrite all your notes. As long as you know how to learn from them, that is enough.

Your handwriting doesn´t need to beautiful. You (and your teachers) should be able to read it without problems, that´s all.

Studying too much can make you depressed. But that is normal and will pass.

Just because others may find a class easy does not mean you have to. Everyone has weaknesses and strengths.

Ambience and piano music is not for everyone. It is totally okay if you listen to heavy metal while studying, as long as you can concentrate.

Getting up early is not always good for being productive. If you are not a morning person, you might not be able to concentrate.

Your background does not have to be white.

You do not have to study on your bed or wrapped in blankets. There are enough people who get tired by doing so.

Your desk will be messy more often than not, and that is totally okay.

Everyone is procrastinating sometimes.

Planning your whole day or week, including every single minute, does not make sense. You will have moments where you will just sit there and stare, you may want to eat an unplanned snack or whatever. Don´t try to plan every second. Give yourself some freedom.

Enjoy your breaks. Don´t minimize them down to just 5 minutes. Take breaks as long as you need them to be in order to feel well and to focus again.

Don´t revise in your head as soon as you´re not studying. Give yourself times where you don´t think about it at all.

180227 | lamentations

as i flip through the pages, feelings began to emerge in my heart. all sorts of feelings, pleasant or not.

however much i love the convenience of living in an urban setting, i can’t help the fact that a part of my soul, the id part of my psyche dare i say, belongs in nature. oh i miss those times walking in midst of evergreen trees, smelling the scent of soil, and listening to birds chirping.

that brings me to a criticism for my country—some of its people, actually.

indonesia has an abundance of natural treasures. what a shame, though, that we don’t appreciate it enough. wherever attractions of nature exists, litter is. of course, not each and every, but give me a break and take my point only.

for example, there is a place that i used to visit often before i moved from bali—bali botanic garden, or kebun raya bedugul as we’d call it. it has some spots that are popular tourist attractions, places where people would take pictures and have their pictures taken, and of course, spots for picnic.

i liked, loved, to take walks there, following hidden tracks that eventually lead back to civilisation. with my affection for the place ever so present, my heart could only break as i see empty bags of chips and other plastic litter claiming the leaves’ place among the grasses. come to this country, and guaranteed you’ll see the product of such carelessness. such a shame, people could still be this mindless.

i lament for my people, for their disconnection to nature. i lament for the people with an abundance access to nature who leave their hometowns just to gamble their lives in the city. i lament for the youths that doesn’t get to experience the beauty of nature outside the screen. i lament for the irresponsible acts of my people. i lament for those who cannot appreciate the beauty of nature.

i dare you to counter my words—oh, i’d be glad if you do. however, for now, i’d like for you to listen to my lamentations.