# Author: Math Sux

## COVID-19: What does #FlattenTheCurve even mean?

If you are a human on Earth, then I’m sure you’ve heard about the coronavirus and are currently social distancing. Here in NYC, I’m quarantining like everyone else and listening to all the beautiful math language that has suddenly become mainstream (so, exciting)! **#FlattenTheCurve** has become NY’s new catchphrase and for anyone confused about what that means, you’ve come to the right place!

The coronavirus spreads at an **Exponential Rate**, which means it spreads in a way that increases faster and faster every day.

**What does this mean?**

For **Example**, one person with the virus can easily spread the virus to 5 other people, those 5 people can then spread the virus to another 5 people each for a total of an extra 25 people, these 25 people can then spread it to another 5 people each for an extra 125 infected people! And the pattern continues……. See below to get a clearer picture:

. *Note: These numbers are not based on actual coronavirus data

The Example we just went over is equal to the exponential equation , but it is only that, an Example! The exact pattern and exponential equation of the future progress of the virus is unknown! We mathematicians, can only measure what has already occurred and prepare/model for the future. To make the virus spread less rapidly, it is our duty to stay home to slow the rate of this exponentially spreading virus as much as possible.

We want to **#FlattenTheCurve **a.k.a flatten the increasing exponential curve of new coronavirus cases that appear every day! Hopefully, this post brings some clarity to what’s going on in the world right now. Even with mathematics, the true outcome of the virus may be unknown, but understanding why we are all at home in the first place and the positive impact it has is also important (and kind of cool).

Stay safe math friends and happy mathing! 🙂

Also, please don’t forget to follow more Mathsux on Twitter and Facebook!

## Bored and Confused?

Calling all students, teachers, and parents! As everyone is stuck at home during a global pandemic, now is a ~~great~~ time we are all forced to try and understand math (and our sanity level) a little bit more. Well, I may not be able to help you with the keeping sanity stuff, but as far as math goes, hopefully, the below **websites** offer some much needed **mathematic support**.

All jokes aside I hope everyone is staying safe and successfully social distancing. Stay well, math friends! 🙂

**Kahn Academy**: The same Kahn Academy we know and love still has amazing videos and tutorials as usual, but now they also have a live “homeroom” chat on Facebook LIVE every day at 12:00pm. The chats occur daily with Kahn Academy founder Sal and at times feature famous guests such as Bill Gates. Click the link below for more:

**Study.com**: In a time when companies are being more generous, Study.com is here for us as they offer up to 1000 licenses for school districts and free lessons for teachers, students, and parents. Check out all the education freebies here:

**Math Planet: **If you’re looking for free math resources in Pre-Algebra, Algebra, Algebra 2, and Geometry then you will find the answers you need at Math Planet. All free all the time, find their website here:

**JMAP**: For anyone who has to take the NYS Regents at some point (whenever we’re allowed to go outside again), JMAP has every old Regents exam as well as answers to boot! Did I mention each exam is free and printable? Find their website here:

What is your favorite educational site? Let me know in the comments, and stay well! 🙂

## Algebra 2: Binomial Cubic Expansion

**Extra Tip!** Notice that we used something called FOIL to combine (a+b)(a+b). But what does that even mean? FOIL is an acronym for multiplying the two terms together. It’s a way to remember to distribute each term to one another. Take a look below:

Add and combine all like terms together and we get !

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Still got questions? Let me know in the comments and as always happy calculating!:)

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## Geometry: The Voluminous “Vessel” at Hudson Yards

Calling all NYC dwellers! Have you seen the new structure at Hudson Yards? A staircase to nowhere, this bee-hive like structure is for the true adventurists at heart; Clearly, I had to check it out!

Where does math come in here you say? Well, during my exploration, I had to wonder (as am sure most people do) what is the volume of this structure? **W hat do you think the volume of the Vessel is? (Hint: feel free to approximate!)**

**Solution**: I estimated the volume by using the formula of a three-dimensional cone. (Not an exact measurement of the Vessel, but close enough!) .

We can find the radius and height based on the given information above. Everything we need for our formula is right here!

Now that we have our information, let’s fill in our formula and calculate!

**Extra Tip! **Notice that we labeled the solution with feet cubed , which is the short-handed way to write “feet cubed.” Why feet cubed instead of feet squared? Or just plain old feet? When we use our formula we are multiplying three numbers all measured in feet:

radius X radius X (Height/3)

*All three values are measured in feet! –> Feet cubed ()*

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Did you get the same answer? Did you use a different method or have any questions? Let me know in the comments and happy mathing! 🙂

## Algebra: Rate of Change

**Extra Tip!** Notice that we added the labels feet/second to our answer. Why does this make sense?? The question tells us that *P(t)* *represents feet* and that *t is equal to seconds. *Another way to look at this question when applying it to the slope formula is to realize that we are finding the* change of feet* divided by the *change of seconds*. ____________________________________________________________________________________

Still got questions? Let me know in the comments and as always happy calculating!:)

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## Geometry: Intersecting Secants

***Extra** **Tip**! *Why does this formula work in the first place!??* If we draw lines creating and proving triangle RTQ and triangle RPS are similar by AA, this leads us to know that the two triangles have proportionate sides and can follow our formula! ___________________________________________________________________________________

Still got questions? Let me know in the comments and remeber having questions is a good thing!

Also, happy holidays from Mathsux! May your December break be filled with family, food, happiness, and maybe some math problems! 🙂

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## Algebra 2: Fractional Exponents

## The Magic of the “Golden Ratio”

Walking around NYC, I was on a mission to connect mathematics to the real world. This, of course, led me to go on a mathematical scavenger hunt in search of the “Golden Ratio.” Hidden in plain sight, this often times naturally occurring ratio is seen everywhere from historic and modern architecture to nature itself.

**What is this all-encompassing “Golden Ratio” you may ask?**

It’s a proportion, related to a never-ending sequence of numbers called the Fibonacci sequence, and is considered to be the most pleasing ratio to the human eye. The ratio itself is an irrational number equal to 1.618……..(etc.).

**Why should you care?**

When the same ratio is seen in the Parthenon, the Taj Mahal, the Mona Lisa and on the shores of a beach in a seashell, you know it must be something special!

Random as it may seem, this proportion stems from the following sequence of numbers, known as the **Fibonacci sequence**:

1, 1, 2, 3, 5, 8, 13, 21, …….

Do you notice what pattern these numbers form?

(**Answer**: Each previous two numbers are added together to find the next number.)

**The Golden Rectangle: The most common example of the “Golden Ratio” can be seen in the Golden rectangle. The lengths of this rectangle are in the proportion from 1: 1.618 following the golden ratio. Behold the beauty of the Golden Rectangle:**

**How is the Fibonacci Sequence related to the Golden Ratio? **What if we drew a golden rectangle within our rectangle?

Then drew another golden rectangle within that golden rectangle?

And we kept doing this until we could no longer see what we were doing…….

The proportion between the width and height of these rectangles is 1.618 and can also be shown as the proportion between any two numbers in the Fibonacci sequence as the sequence approaches infinity. Notice that the area of each rectangle in the Fibonacci sequence is represented below in increasing size:

**Where exactly can you find this Golden Ratio in real life? **Found in NYC! The Golden ratio was seen here at the United Nations Secretariat building in the form of a golden rectangle(s). Check it out!

Where have you seen this proportion of magical magnitude? Look for it in your own city or town and let me know what you find! Happy Golden Ratio hunting! 🙂

If you’re interested in learning more about the golden ratio and are also a big Disney fan, I highly recommend you check out Donald Duck’s Math Magic!

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