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#[closed x infinity x 10000 infinities]

littleholmes · 2 years

Note

Hi there! I was reading a couple of your JJK analyses not long ago and one that seems to be really prevalent in most cases is Gojo vs faithfulness/sincerity. Boy i had and still have many thoughts about this but first i wanna say that i liked your analysis on that topic.

You know i always figured Satoru as this lonely person that hasn't really let anyone in after Suguru incident and everything. Gege's comment especially regarding not being able to imagine Satoru being sincere to anyone just flat out meant to me that this guy probably doesn't even do relationships, i mean considering jujutsu sorcerers and their job as a whole it doesn't surprise me that they are far off removed from normal life. And Satoru is a whole other bite entirely. I think he's just carrying to much PTSD and workload to ever considering whether having someone again is for him, especially given the fact how many times his vulnerabilities has been used against him. And now to the point where i saw the most asked questions of all times: Does he sleep around? I personally think he doesn't, multiple times it's been stated that he barely gets any free time, then there's also the fact that he most likely has intimacy issues and i carry this from the fact that he always has limitless on and doesn't take it down unless it's around someone he trusts, like his students or his close peers maybe, other than that? Not so much, and while i think that non-sorcerers aren't really aware of who he is I'd argue that there is still caution involved especially when they can become colleteral. I don't think Satoru would choose to get involved with someone like that, which again I think is another reason why Gege said he cannot imagine him being sincere with anyone.

TLDR; i think his power as a whole is also representative of how he has everyone at arm's length but keeps the physical distance and emotional as needed regardless. Does that make sense? I went off a bit with such a long ask but i felt the need to share it after reading your analysis. If you have anything to add or tell me, I'd like to read it!

Hi! Thank you for reading my analysis posts! 🌸Also yep, everything you said makes sense and I agree 10000%!

I think I either said or alluded to everything you said above in my ask responses about his relationships (x , x) , though I’m not quite sure I managed to make each of those points come across clearly in those responses😅 (Unless you’re adding to my post in agreement—which, if so, I’m sorry and totally ignore me! My brain’s kinda fuzzy these last few days since my dad passed)

Either way yes! I agree with you about Satoru, and I don’t have anything to add because you said pretty much everything I think when it comes to Gojo and relationships and his abilities. Not to mention he’s constantly had people trying to kill him since he was a little kid, so that’s definitely going to add some trust issues but also a bit of a defensive mode. And after the whole Toji situation? I’d keep my Infinity activated all the time too just to keep myself safe.

I also agree with his Six Eyes and everything that comes with it basically being this metaphor for him and how his life kinda ends up having to be as the strongest and the only one with this amazing ability and the loss and devastation that comes with it. Satoru is a lonely soul in more ways than one.

#monique answers things #jjk #satoru gojo #gojou satoru #jjk thoughts #jjk analysis #idk i’m rambling

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findroleplay · 1 year

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Gonna shorten this a little. Basic info about me: 20, NB, love medieval, dark fantasy settings, semi-lit (5 lines +), 3rd person, open to any sort of NSFW, but we'll need to discuss that previously, you need to be at least 18, but I still prefer someone who's 20 or older (MUST have your age listed in your bio, otherwise I'm not contacting you). I won't do anything NSFW, not even implied, with any minors (shoosh, leave me alone). I live in Eastern Europe, English isn't my first language and I already got enough to write as it is, so... let's keep it light and entertaining, I will definitely not ask paragraphs of you, but please keep it 5 lines or more.

As a queer person I lean towards queer ships: MxM, MxNB, NBxNB, NBxF, FxF (trans characters welcomed!)

Fandoms (?)

• Vampire hunter D bloodlust: OCxOC, OCxcanon, maybe (plot can be discussed in the DMs)

• Claymore: Canon x Canon, OCx Canon, OCxOC. obviously here I'd mainly look for some FxF ships 💅

• Trinity Blood: OCxOC, OCx Canon (world has a lot of potential, we can come up with a plot together)

• Sk8 the infinity: Canon x Canon (alright, let me list at least one more... popular anime? As I am an adult, I won't RP Langa x Reki. Kojiro x Kaoru tho... 👀)

• Promare: Canon x Canon (for sure, Galo x Lio, love 'em 😌)

• Nanbaka: OCxCanon, Canon x Canon (this one has SO MANY boundaries set, but eh, maybe we can find some sort of ship in the end. I'm mainly going for Ruka x Enki but beware- I'd prefer if we stuck to the anime, because the manga is SO HARD to come across)

That being said, I'm 10000% in favor of actually changing the world and story of a certain anime, I actually encourage that. Let's come up with something new, something different, something better- We can have a world as the base and do whatever the f we want with it afterwards, why not? Let's chat here and switch to Discord of things evolve. Interact and I'll reach out.

Bonus: please don't ghost me, if you feel like the RP isn't what you want or something like that just let me know and we can close it up. I've got like 4 open ones that I haven't gotten and replies to lately and I don't want to fill my inbox even more.

#rp #roleplay #oc rp #nanbaka rp #promare rp #sk8 the infinity rp #trinity blood rp #claymore rp #vampire hunter d bloodlust rp

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fierreth-who · 3 years

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*looks at this closely* It seems there is no 10000% for I love you more than I love anything else so I must go with 95-100%

Well it’s a shame that there is no 10 x infinity number for I love you so much I can’t even contain it anymore so I’ll also go with 95-100%.

#*kisses you* I love you so much

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sunflower-cathedral · 3 years

Text

Credit to Shadeswift99 for the idea!

Rating hermits based on if I could win a fight against them:

Xisuma: 10/10 I will ruin X without hesitation. All I have to do is think of that video where he talked rlly shitty on a gender topic. The amount of unbridled rage-

Joehills: 3/10 he will fight dirty and you cant convince me otherwise. He was close with the convex last season, he has gotten his fair share of getting his hands dirty and I dont trust it.

Bdubs: -10000/10 this fucker will probably destroy me. Look, I could easily go off about how short he is and use his desperate anger as a way to make calculated hits but he is so unhinged. I've said it before and I'll say it again: there is something so so so feral and unhinged in bdubs that's always 2 seconds away from exploding at any given moment. I am also shorter; and very competitive, which would feed into his competitiveness.

TFC: -1000000000/10 I wouldn't. I just wouldn't. I wouldn't even try to hurt him hes minecraft grandpa i love him :(

Cleo: 8.5/10 I feel like I would have a solid chance, but she plays dirty after the initial shock of being attacked. Tbf I usually try fighting her every time shes on the patron server when I'm also on. Also if the rewards of heads are involved she will win 1000% no doubt about it.

Stress: YOU WANT ME TO FIGHT HER?? AN ONLY PARENT WITH 3 CHILDREN?? WHO WORKS OUT?? NO. NO. SHE WILL BREAK MY SPINE LIKE A FUCKING TWIG IF I TRIED. FUCK-NO/10

False: 4/10 we would be an even match but me being a massive simp would bring my guard down. She could probably destroy my joints if she wanted

Scar: 11/10 I will snap his spine in half in seconds but I will feel guilt because I love him :(

Grian: 5/10 grians not the only person who can play dirty. It would be an even fight

Mumbo: 1000/10 hes a stick

Iskall: 0/10 no

Tango: I'm intimidated. 4/10. I dont trust him, I feel like he could break my neck from 4 feet away but also I feel like he doesn't have the skills against someone who plays pvp related minigames frequently

Impulse: I can and will beat the shit out of him without trying 10000/10

Zedaph: I dont trust a man who isn't afraid of the void and purposefully sits in said void -10/10

Cub: 3/10 he will snipe me to death NOT IF I SNIPE HIM FIRST- also I hate his skin so much its literal cultural appropriation (it's only cultural appropriation because it's similar to what leaders like Cleopatra etc wore: which is sacred to only the most powerful) so actually infinity/10 my pure blind anger and rage will kill him in a 200 block radius

Etho: ... meeehhh I dont wanna fight an OG today 0/10

Doc: look I get he fought God and lost only an arm and won, but listen. I'm A Uni Student. I fear nothing but due dates. I will destroy this man with every fiber of my being. It would be 11/10 but hes a new dad and frankly they're over protective. So he would easily break every bone in my body before I even manage to land a hit on him. 0/10

Wels: i would die for him. I would let him kill me and I would be happy 0/10

Xb & beef: I dont know them well enough but I feel like it would be a decent fight 4/10

Jevin: if he even looks at me he will implode bc of my hatred. I'm still so fucking infuriated by him invalidating and mocking Trigger Warnings infinity/10

Keralis: HE BETTER PULL THE FUCK UP I WILL DESTROY HIM 10/10

Ren: His muscles don't intimidate me, but his never ending support for the rainbow community would make me too weak to attack him. I would be bawling my eyes out and probably end up cuddled by ren. I could never. -1000000000/10

#hermitcraft #hermitblr

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gamerszone2019-blog · 5 years

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Patch Notes for Fortnite v10.10 - Retail Row returns, World Run LTM, and more

New Post has been published on https://gamerszone.tn/patch-notes-for-fortnite-v10-10-retail-row-returns-world-run-ltm-and-more/

Patch Notes for Fortnite v10.10 - Retail Row returns, World Run LTM, and more

After a slight delay, Epic Games have just released the patch notes for the Fortnite v10.10 update featuring the return of Retail Row and more.

Downtime for the v10.10 patch begins today, August 14, at 4am ET/8am UTC and usually lasts from 1 to 2 hours. Here’s everything that’s changing:

What’s New?

Retail Row A Rift Zone has turned Mega Mall back into Retail Row, and prices have dropped significantly. These discounts come at the cost of increased danger — bargain-crazed Fiends are spawning in the Rift Zone, and they want the shopping center all to themselves.

youtube

World Run LTM Dip, dodge, and duck through treacherous traps, lava pits, and more to become the world’s fastest lane runner. 16 players race to complete the course. The first team to collect 30 coins wins!

Limited Time Modes

World Run LTM

Team Type: Squads | Respawning: On

16 Players.

4 Teams.

The team to collect 30 coins fastest wins.

In the event that two teams collect the same amount of coins, the team that was faster will win.

Weapons + Items

Unvaulted only in the Sword Fight Squads and Duos LTMs:

Infinity Blade

Reduced the environmental damage from 10000 to 600.

Increased the number of resource stacks contained in Chests in Tilted Town from 1 to 3.

B.R.U.T.E. updates:

Added a targeting laser that appears as players load and fire missiles.

In addition to the B.R.U.T.E.’s gunner, this laser is visible to opponents and teammates.

This is to help give clarity to all players on where a gunner is aiming their rockets before they’re fired.

Improved visual and audio feedback during the self-destruct sequence.

B.R.U.T.E.s can now be entered directly from glider mode.

Updated B.R.U.T.E. spawn logic for large team respawn game modes.

B.R.U.T.Es will now spawn intermittently throughout the match instead of waiting for Storm phases to end.

B.R.U.T.E.s abandoned in the Storm will self-destruct after 30 seconds.

B.R.U.T.E.s will reappear on the minimap after 15 seconds if no player is in either seat.

Bug Fixes

Fixed an issue in which opponents’ B.R.U.T.E.s would sometimes not be visible.

B.R.U.T.E.s can no longer be used to traverse the map faster than intended.

The turn rate of B.R.U.T.E.’s turret is no longer framerate-dependent.

Gameplay

Retail Row

A Rift Zone has replaced the Mega Mall POI with Retail Row.

Retail Row now spawns hordes of Fiends who charge at players.

Fiends may drop a weapon, consumable, or ammo upon being eliminated.

Fiends cannot go outside the Retail Row Rift Zone.

Chests and ammo containers will now open when destroyed.

Known issue: Destroying a Chest or ammo container by destroying the object it is placed on will not open it.

We plan to have this issue resolved in the v10.20 update.

Bug Fixes

The Week 1 and Week 2 Hidden Battle Stars can now be collected.

Fixed an issue in which the Bush would reset its displayed equip timer if the player tried to activate it multiple times. (Players would still be able to equip the Bush at the intended time, but the displayed timer would be incorrect.)

Fixed an issue in which Supply Drop smoke would not appear if the box was not in sight.

Trees no longer turn into different kinds of trees upon being damaged.

This includes snow-covered trees no longer turning into non-snow-covered trees.

Fixed an issue in which Chests would sometimes already be broken or opened at the start of a match.

The “Welcome to Tilted Town” message no longer loops when players enter/exit Titled Town. It also no longer overlaps Storm warnings.

Walking over in-motion Bottle/Fancy Flip Toys no longer causes a camera issue.

Events

Pushed a fix on August 5 to address an Arena matchmaking issue causing players to be matched within a wider Hype range than intended.

Because players are now matched within a narrower Hype range, some players may experience longer queue times. This is to ensure higher-quality matches.

Playground

Bug Fixes

Fixed an issue involving Chests being unopenable in Tilted Town.

Performance

Further improved performance to reduce the chance of players landing on POIs with a low level of detail.

Art + Animation

Plastic Patroller Outfit Visual Update

Added mud smears, wear and tear, and a brighter outline.

These changes were added to prevent this Outfit from providing a camouflage effect in certain areas of the map, which was making it very difficult to see.

All players who previously purchased this Outfit will have the option to refund it without using a Refund Token if they choose to do so.

Note: This refund option will be available for 30 days, with the timer starting after your next login.

Updated the Mecha Team Leader Outfit’s idle animation to its original version.

Bug Fixes

Improved the visuals of the Emotical Wrap on weapons.

Audio

Enabled reverb on PlayStation 4 and Xbox One.

Contextual Tutorial System

A tip system designed to help guide and teach players new to Battle Royale.

This system displays tips to players during matches. Each tip appears in situations it is most relevant to.

Can be toggled “On” or “Off” in the Game Settings tab.

It is set to “On” by default.

Updated the Item Shop background.

Bug Fixes

The tiles for completed Missions no longer display “0%” and are no longer missing a check mark.

Suggested Challenges on the map screen no longer take up the entire space or show level-up Missions.

The tiles for Limited Time Missions no longer display “Soon” when it should display the time remaining.

Replay

In the Battle Map camera mode, the tracking now smoothly follows the path instead of jumping large steps.

Disabled Storm post-processing in Battle Map.

Added keyboard bindings to change the playback speed in replays. G now increases the playback speed, and Shift+G now decreases the playback speed.

Bug Fixes

Changing the options for the Battle Map camera mode no longer resets the camera placement.

Battle Map no longer switches to a third-person view when the Battle Bus launches.

Disabled Squad visibility option in Battle Map when viewing a Solo match.

Mobile

Push notifications system

The system can be managed in the device settings or in-game settings to toggle “On” and “Off.”

Safe zone will be respected on iOS X devices on the Battle Pass page.

Auto fire will now be applied to players with a Bush equipped.

Teammates and Quickbar HUDs will be displayed when spectating.

“Quit” button has been removed on the log out screen.

A single tap is needed to open the Map after it has been closed with ”X” at the top of the screen.

“Push To Talk” button is back while on the Battle Bus.

Bug Fixes

Resolved a crashing issue that would occur when leaving the game in the background after completing a match on Android.

Resolved a crashing issue that would occur when the device was put in sleep mode for more than 10 seconds on iOS.

B.R.U.T.E. buttons are now named appropriately.

When players are selecting a match mode, no secondary selection border will appear.

The “Decline” button in the HUD layout tool will correctly remove any changes made.

The “Show Help” button will dismiss when entering the Battle Bus.

The Item Shop page will be centered for devices in 4:3 resolution.

The Battle Pass page indicator won’t duplicate.

The “Quick Heal” Button will not appear when players are in a Downed But Not Out state.

Autofire with Scoped Revolver correctly fires.

Pressing “X” on the Map to close it won’t disable right-stick functionality for the ‘Razer: Raiju’ controller.

Keyboard’s text box won’t stay on screen after locking and unlocking the screen while writing a gifting message on Android.

We’ve made graphical improvements in the following areas:

View All Rewards screen from the Battle Pass

Spray Sale Glider

Tac Bats Harvesting Tool

Yonder Outfit variant

Atmosphere Backpack

Catalyst Outfit eyes

Vendetta Outfit

Updated to look the same as it does other platforms.

SOURCE: Epic Games

Source : Fortnite News

#Patch Notes #Fortnite

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lawsofemotion · 7 years

Text

Real Numbers and the Real Line

Calculus depends on properties of the real number system.

Real numbers are numbers that can be expressed as decimals.

5 = 5.000... -3/4 = -0.75000... 1/3 = 0.333... √2 = 1.414... π = 3.141...

In each example above, the three dots "..." indicate that the sequence of decimal digits goes on forever.

For the first three examples above, the pattern of the digits are obvious, where the subsequent digits are easily known. However, for √2 and π, there is no obvious pattern of their decimal digits.

Real Line The real numbers can be represented geometrically as points on a number line called the real line.

The symbol ℝ is used to denote either the real number system or the real number line.

Properties of Real Numbers The properties of real numbers fall into three categories: algebraic properties, order properties, and completeness.

The algebraic properties assert that the real numbers can be added, subtracted, multiplied, and divided (except zero) to produce another real number, and so the rules of arithmetic are valid.

Order Properties The order properties of the real numbers refer to the order the real numbers appears on the number line.

If x lies to the left of y on the real line, then x is less than y, or y is greater than x, written as x < y, y > x, respectively.

The inequality x ≤ y means either x = y or x < y.

The following are order properties of the real numbers:

The symbol => means “implies” while <=> (seen later) means “equivalent to.”

For Rules 1-4 and 6 (for 0 < a), they also hold if < and > are replaced with ≤ and ≥, respectively.

Note that, for Rules 3 and 4, the rules for multiplying or dividing an inequality by a positive number c preserves the inequality. If the number c is negative, the inequality is reversed.

Completeness Property If A is any set of real numbers having at least one number in the set, and if there exists a real number y with the property x ≤ y for every x in A, then there exists a smallest number y with this same property.

Therefore, there are no holes on the real line, where every point corresponds to a real number.

The study of infinite sequences will use the property of completeness.

Subsets of the Real Numbers The set of real numbers ℝ has some special subsets.

1. The set of natural numbers ℕ = {1, 2, 3, 4, ...}. 2. The set of integers ℤ = {..., -2, -1, 0, 1, 2, ...} 3. The set of rational numbers ℚ, which is the set of numbers that can be expressed as a fraction m/n, where m, n ∈ ℤ and n ≠ 0.

Rational Numbers Rational Numbers are real numbers with decimal expansion that does either of the following:

1. Terminate: ending with an infinite string of zeros, such as 3/4 = 0.75000..., or 2. Repeat: ending with a string of digits that repeat infinitely, such as 23/11 = 2.090909... = 2.̄0̄9̄ . The bar over the digits indicate the pattern of repeating digits.

Real numbers that are not rational are called irrational numbers.

The set of all rational numbers possesses all algebraic and order properties of the real numbers, but it does not possess the completeness property. For example, √2 is irrational, so there is a "hole" on the rational line where √2 should be.

Because the real line has no such "holes," it is the appropriate setting for the study of calculus.

Intervals A subset of the real line is called an interval if it contains at least two numbers and all real numbers between any two of its elements.

For example, the set of real numbers x such that x > 6 is an interval, but the set of real numbers such that y ≠ 0 is not an interval, because it consists of two intervals.

If a and b are real numbers and a < b:

1. The open interval from a to b, denoted as (a, b), consists of all real numbers x satisfying a < x < b.

2. The closed interval from a to b, denoted as [a, b], consists of all real numbers x satisfying a ≤ x ≤ b.

3. The half-open interval from a to b, denoted as [a, b), consists of all real numbers x satisfying a ≤ x < b.

4. The half-open interval from a to b, denoted as (a, b], consists of all real numbers x satisfying a < x ≤ b.

Note that, hollow dots are used to indicate endpoints that are not included in the interval, and the solid dots are used to indicate endpoints of the interval that are included. The endpoints are also called boundary points.

The above type of intervals are called finite intervals, such that each interval has a finite length of b – a.

Intervals with infinite length are called infinite intervals.

The following are the infinite intervals (a, ∞) and (-∞, a]:

The whole real line ℝ is an infinite interval denoted as (-∞, ∞).

Infinity ∞ does not denote a real number, and so it is never allowed to belong to an interval.

Union and Intersection of Intervals The symbol ⋃ is used to denote the union of intervals.

A real number is in the union of intervals if it is in at least one of the intervals.

For example, [1, 3) ⋃ [2, 4] = [1, 4]. Even though 3 is not included in the first interval, it is included in the second interval, and so the union of these two intervals is simply from 1 to 4, inclusive.

The symbol ⋂ is used to denote the intersection of intervals.

A real number is in the intersection of intervals if it is in every one of those intervals.

For example, [1, 3) ⋂ [2, 4] = [2, 3). Even though 4 is included in the second interval, and 1 is included in the first interval, they are not included in both intervals.

Whenever "and" is mentioned in conditions for intervals, it will be one interval. Whenever "or" is mentioned in conditions for intervals, it will be a union of intervals.

The Absolute Value The absolute value, or magnitude, of a number x, denoted as |x|, is defined as the following:

The vertical lines in the symbol |x| are called absolute value bars.

For example, |3| = 3, |0| = 0, and |-5| = 5.

Note that, √a always denotes the non-negative square root of a, and so the alternative definition for |x| is |x| = √x². It is important to remember that √a² = |a| and not just a, unless it is known that a ≥ 0.

Geometrically, |x| represents the non-negative distance from x to 0 on the real line.

In general, |x – y| represents the non-negative distance between x and y on the real line, since this distance is the same as the distance between x – y and 0.

The following demonstrates |x – y| = distance from x to y:

Properties of Absolute Value The absolute value function has the following properties:

Equations and Inequalities Involving Absolute Values The equation |x| = D, where D > 0, has two solutions: x = -D and x = D, which are two points on the real line that lie at distance D from the origin 0.

Equations and inequalities involving absolute values can be solved algebraically by using cases according to the definition of absolute value. Another way to solve them is geometrically interpreting absolute values as distances.

For example, the inequality |x – a| < D means the distance from x to a is less than D, and so x must lie between a – D and a + D, or a must lie between x – D and x + D.

If D is a positive number, then:

1. |x| = D <=> either x = -D or x = D |x – a| = D <=> either x = a – D or x = a + D

2. |x| < D <=> -D < x < D |x – a| < D <=> a – D < x < a + D

3. |x| ≤ D <=> -D ≤ x ≤ D |x – a| ≤ D <=> a – D ≤ x ≤ a + D

4. |x| > D <=> either x < -D or x > D |x – a| > D <=> either x < a – D or x > a + D

PDF reference: 27/1

Objectives

1. Writing repeating decimals. 2. Converting fractions into repeating decimals. 3. Converting repeating decimals into fractions. 4. Solving linear inequalities and graphing the solution set. 5. Solving quadratic inequalities. 6. Solving absolute value equations and inequalities. 7. Using the Triangle Inequality to prove other inequalities.

Show that each of the following numbers is a rational number by expressing it as a quotient of two integers:

a) 1.323232... = 1.3̄2̄ b) 0.3405405405... = 0.34̄0̄5̄

Let x = 1.323232...

Then the non-decimal digit is subtracted from both sides.

x – 1 = 0.323232...

Then 100 is multiplied on both sides of the original equation to get one repeating pattern on the non-decimal side.

100x = 132.323232... = 132 + 0.323232... = 132 + x – 1

Using algebraic techniques forms the decimal into a fraction and hence prove the number is rational.

100x = 132 + x – 1 99x = 131 x = 131/99

Let x = 0.3405405405...

Since the non-repeating digit is in the decimal side, a multiple of 10 must be multiplied to make it into a non-decimal digit.

10x = 3.405405405...

Then the non-decimal digit can be subtracted from both sides.

10x – 3 = 0.405405405...

Then 10000 is multiplied on both sides of the original equation to get one repeating pattern on the non-decimal side.

10000x = 3405.405405405... = 3405 + 0.405405405... = 3405 + 10x - 3

Using algebraic techniques forms the decimal into a fraction and hence prove the number is rational.

10000x = 3405 + 10x – 3 9990x = 3402 x = 3402/9990 = 63/185

Express the following rational numbers as a repeating decimal. Use a bar to indicate the repeating digits:

a) 2/9 b) 1/11

Using long division, it is found that 2/9 = 0.222... = 0.2̄ .

Using long division, it is found that 1/11 = 0.090909... = 0.0̄9̄ .

Express the following repeating decimal as a quotient of integers in lowest terms:

a) 0.1̄2̄ b) 3.27̄

Let x = 0.121212...

Since there are no non-repeating digits, many steps are skipped and now 100 is multiplied on both sides to get one repeating pattern on the non-decimal side.

100x = 12.121212... = 12 + 0.121212 = 12 + x

Using algebraic techniques forms the decimal into a fraction and then simplified into its lowest terms.

100x = 12 + x 99x = 12 x = 12/99 = 4/33

Let x = 3.2777...

Since there is a non-repeating digit on the decimal side, 10 is multiplied on both sides.

10x = 32.777..

The non-repeating digits are subtracted from both sides.

10x – 32 = 0.777...

Now the original equation is multiplied by 100 to get one repeating pattern on the non-decimal side.

100x = 327.777... = 327 + 0.777... = 327 + 10x – 32

Using algebraic techniques forms the decimal into a fraction and then simplified into its lowest terms.

100x = 327 + 10x – 32 90x = 295 x = 295/90 = 59/18

Solve the following inequalities and express the solution sets in terms of intervals. Graph their intervals.

a) 2x – 1 > x + 3 b) -x/3 ≥ 2x - 1 c) 2/(x – 1) ≥ 5

2x – 1 > x + 3 x – 1 > 3 x > 4

Solution: (4, ∞)

-x/3 ≥ 2x – 1 x ≤ -6x + 3 7x ≤ 3 x ≤ 3/7

Solution: (-∞, 3/7]

This inequality has x in the denominator, and so it is possible for x to be undefined at a certain point on the real line.

The inequality will be written such that all terms are on one side and then simplified into one fraction.

2/(x – 1) ≥ 5 2/(x – 1) – 5 ≥ 0 (2 – 5x + 5)/(x – 1) ≥ 0 (7 – 5x)/(x – 1) ≥ 0

The numerator is examined to determine when it equals 0.

7 – 5x = 0 x = 7/5

The denominator is examined to determine when it equals 0.

x – 1 = 0 x = 1

Since the fraction is undefined when x = 1, the interval will have a round bracket on 1 and a square bracket on 7/5.

Solution: (1, 7/5]

Solve the following systems of inequalities:

a) 3 ≤ 2x + 1 ≤ 5 b) 3x – 1 < 5x + 3 ≤ 2x + 15

First, the left inequality is solved:

3 ≤ 2x + 1 2 ≤ 2x x ≥ 1

Then the right inequality is solved:

2x + 1 ≤ 5 2x ≤ 4 x ≤ 2

Therefore, since x ≥ 1 and x ≤ 2, the interval is [1, 2].

First, the left inequality is solved:

3x – 1 < 5x + 3 -4 < 2x x > -2

Then the right inequality is solved:

5x + 3 ≤ 2x + 15 3x ≤ 12 x ≤ 4

Since x > -2 and x ≤ 4, the interval is (-2, 4].

Solve the following quadratic inequalities:

a) x² – 5x + 6 < 0 b) 2x² + 1 > 4x

x² – 5x + 6 < 0 (x – 2)(x – 3) < 0 x = 2, 3

Drawing a number line with labeled solutions, points between -∞ and 2 are positive, points between 2 and 3 are negative, and points between 3 and ∞ are positive.

Therefore, (2, 3).

2x² + 1 > 4x 2x² – 4x + 1 > 0

The quadratic formula is used to determine the solutions.

x = 1 ± √2/2

(x - 1 - √2/2)(x - 1 + √2/2) > 0

Drawing a number line with labeled solutions, points between -∞ and 1 - √2/2 are positive, points between 1 - √2/2 and 1 + √2/2 are negative, and points between 1 + √2/2 and ∞ are positive.

Therefore, the solution is the union of the intervals (-∞, 1 - √2/2) ⋃ (1 + √2/2, ∞).

Express the set of all real numbers x satisfying the following conditions as an interval or a union of intervals.

a) x ≥ 0 and x ≤ 5 b) x < 2 and x ≥ -3 c) x > -5 or x < -6 d) x ≤ -1 e) x > -2 f) x < 4 or x ≥ 2

Since "and" is used, the interval must satisfy when x ≥ 0 and when x ≤ 5.

[0, 5]

Since "and" is used, the interval must satisfy when x < 2 and when x ≥ -3.

[-3, 2)

Since "or" is used, the interval must satisfy when x > -5 or x < -6.

(-∞, -6) ⋃ (-5, ∞)

x ≤ -1 means that the interval contains all real numbers such that x is less than or equal to -1.

(-∞, -1]

x > -2 means that the interval contains all real numbers such that x is greater than -2.

(-2, ∞)

Since "or" is used, the interval must satisfy when x < 4 or x ≥ 2, which is just the real line.

(-∞, 4) ⋃ [2, ∞) = (-∞, ∞)

Solve the following inequality and graph the solution set.

3/(x – 1) < -2/x

Bring all terms to one side.

3/(x – 1) + 2/x < 0 (3x + 2x – 2)/x(x – 1) = (5x – 2)/x(x – 1) < 0

Examine the numerator and determine when it is equal to zero.

5x – 2 = 0 x = 2/5

Examine the denominator and determine when it is equal to zero.

x(x – 1) = 0 x = 0, 1

The denominator is undefined when either x = 0 or x = 1 or both.

Testing points between 0, 2/5, and 1 to determine whether it is negative or positive.

Points to the left of zero are negative, points between 0 and 2/5 are positive, points between 2/5 and 1 are negative, and points to the right of one are positive.

Since it is less than zero and not less than or equal to zero, all three endpoints use a round bracket.

(-∞, 0) ⋃ (2/5, 1)

Solve the following inequalities, giving the solution set as an interval or union of intervals.

a) -2x > 4 b) 3x + 5 ≤ 8 c) 5x – 3 ≤ 7 - 3x d) (6 – x)/4 ≥ (3x – 4)/2 e) 3(2 – x) < 2(3 + x) f) x² < 9 g) 1/(2 – x) < 3 h) (x + 1)/x ≥ 2 i) x² – 2x ≤ 0 j) 6x² – 5x ≤ -1 k) x³ > 4x l) x² – x ≤ 2 m) x/2 ≥ 1 + 4/x n) 3/(x – 1) < 2/(x + 1)

-2x > 4 <=> x < -2 <=> (-∞, -2)

3x + 5 ≤ 8 <=> 3x ≤ 3 <=> x ≤ 1 <=> (-∞, 1]

5x – 3 ≤ 7 – 3x <=> 8x – 3 ≤ 7 <=> 8x ≤ 10 <=> x ≤ 5/4 <=> (-∞, 5/4]

(6 – x)/4 ≥ (3x – 4)/2 <=> 12 – 2x ≥ 12x – 16 <=> -14x ≥ -28 <=> x ≤ 2 <=> (-∞, 2]

3(2 – x) < 2(3 + x) <=> 6 – 3x < 6 + 2x <=> -5x < 0 <=> x > 0 <=> (0, ∞)

x² < 9 <=> x² – 9 < 0 <=> (x – 3)(x + 3) < 0 => x = -3, 3

Drawing a number line with labeled solutions, points between -∞ and -3 are positive, points between -3 and 3 are negative, and points between 3 and ∞ are positive.

Therefore, (-3,3).

1/(2 – x) < 3 <=> 1/(2 – x) – 3 < 0 <=> (1 – 6 + 3x)/(2 – x) <=> (-5 + 3x)/(2 – x) => x = 5/3, 2

Drawing a number line with labeled solutions, points between -∞ and 5/3 are negative, points between 5/3 and 2 are positive, and points between 2 and ∞ are negative.

Since the fraction is undefined when x = 2, 2 is not allowed to be included in the interval.

Therefore, (-∞, 5/3) ⋃ (2, ∞).

(x + 1)/x ≥ 2 <=> (x + 1)/x – 2 ≥ 0 <=> (x + 1 – 2x)/x ≥ 0 <=> (-x + 1)/x ≥ 0 => x = 0, 1 Drawing a number line with labeled solutions, points between -∞ and 0 are negative, points between 0 and 1 are positive, and points between 1 and ∞ are negative.

Since the fraction is undefined when x = 0, 0 is not allowed to be included in the interval.

Therefore, (0, 1].

x² – 2x ≤ 0 <=> x(x – 2) ≤ 0 => x = 0, 2

Drawing a number line with labeled solutions, points between -∞ and 0 are positive, points between 0 and 2 are negative, and points between 2 and ∞ are positive.

Therefore, [0, 2].

6x² – 5x ≤ -1 <=> 6x² – 5x + 1 ≤ 0 <=> 6x² – 3x – 2x + 1 ≤ 0 <=> 3x(2x – 1) – (2x – 1) ≤ 0 <=> (3x – 1)(2x – 1) ≤ 0 => x = 1/3, 1/2

Drawing a number line with labeled solutions, points between -∞ and 1/3 are positive, points between 1/3 and 1/2 are negative, and points between 1/2 and ∞ are positive.

Therefore, [1/3, 1/2].

x³ > 4x <=> x³ – 4x > 0 <=> x(x² – 4) > 0 <=> x(x – 2)(x + 2) > 0 => x = -2, 0, 2

Drawing a number line with labeled solutions, points between -∞ and -2 are negative, points between -2 and 0 are positive, point between 0 and 2 are negative, and points between 2 and ∞ are positive.

Therefore, (-2, 0) ⋃ (2, ∞).

x² – x ≤ 2 <=> x² – x – 2 ≤ 0 <=> (x – 2)(x + 1) ≤ 0 => x = -1, 2

Drawing a number line with labeled solutions, points between -∞ and -1 are positive, points between -1 and 2 are negative, and points between 2 and ∞ are positive.

Therefore, [-1, 2].

x/2 ≥ 1 + 4/x <=> 0 ≥ 1 – x/2 + 4/x <=> 0 ≥ 0 ≥ (x – x²/2 + 4)/x <=> 0 ≥ (-2/-2)[(x – x²/2 + 4)/x] <=> 0 ≥ (x² – 2x – 8)/(-2x) <=> 0 ≥ (x – 4)(x + 2)/(-2x) <=> (x – 4)(x + 2)/(-2x) ≤ 0 => x = -2, 0, 4

Drawing a number line with labeled solutions, points between -∞ and -2 are positive, points between -2 and 0 are negative, point between 0 and 4 are positive, and points between 4 and ∞ are negative.

Since the fraction is undefined when x = 0, 0 is not allowed to be included in the interval.

Therefore, [-2, 0) ⋃ [4, ∞).

3/(x – 1) < 2/(x + 1) <=> 3/(x – 1) – 2/(x + 1) < 0 <=> (3x + 3 – 2x + 2)/(x - 1)(x + 1) < 0 <=> (x + 5)/(x – 1)(x + 1) < 0 => x = -5, -1, 1

Drawing a number line with labeled solutions, points between -∞ and -5 are negative, points between -5 and -1 are positive, point between -1 and 1 are negative, and points between 1 and ∞ are positive.

Since the fraction is undefined when x = -1 or 1, -1 and 1 are not allowed to be included in the interval.

Therefore, (-∞, -5) ⋃ (-1, 1).

Solve the following:

a) |2x + 5| = 3 b) |3x – 2| ≤ 1

Case 1: x > 0 |2x + 5| = 3 <=> 2x + 5 = 3 <=> x = -1

Case 2: x < 0 |2x + 5| = 3 <=> -(2x + 5) = 3 <=> 2x + 5 = -3 <=> x = -4

Since the question deals with "less than or equal to," the equivalent form is used.

|3x – 2| ≤ 1 <=> -1 ≤ 3x – 2 ≤ 1

The left inequality is solved first.

-1 ≤ 3x – 2 1 ≤ 3x x ≥ 1/3

The right inequality is solved last.

3x – 2 ≤ 1 3x ≤ 3 x ≤ 1

Therefore, [1/3,1].

Solve the equation |x + 1| = |x – 3|.

Case 1: x < 0 |x + 1| = |x – 3| <=> -(x + 1) = x – 3 <=> -x – 1 = x – 3 <=> -2x = -2 <=> x = 1

Case 2: x > 0 |x + 1| = |x – 3| <=> x + 1 = x – 3 <=> no solution

What values of x satisfy the following inequality?

Since the inequality uses "less than," the following equivalent form is used.

-3 < 5 – 2/x < 3 <=> -8 < -2/x < -2 <=> 4 > 1/x > 1

Solve the left inequality first.

4 > 1/x <=> 4x > 1 <=> x > 1/4

Solve the right inequality last.

1/x > 1 <=> 1 > x <=> x < 1

Therefore, the values of x that satisfy the above inequality is in the interval (1/4, 1).

Solve the following equations:

a) |x – 3| = 7 b) |2t + 5| = 4 c) |1 – t| = 1 d) |s/2 – 1| = 1

|x – 3| = 7

Case 1: x < 0 -(x – 3) = 7 <=> x – 3 = -7 <=> x = -4

Case 2: x > 0 x – 3 = 7 <=> x = 10

Therefore, x = -4, 10.

|2t + 5| = 4

Case 1: x < 0 -(2t + 5) = 4 <=> 2t + 5 = -4 <=> 2t = -9 <=> t = -9/2

Case 2: x > 0 2t + 5 = 4 <=> t = -1/2

Therefore, t = -1/2, -9/2.

|1 – t| = 1

Case 1: x < 0 -(1 – t) = 1 <=> 1 – t = -1 <=> t = 2

Case 2: x > 0 1 – t = 1 <=> t = 0

Therefore, t = 0, 2.

|s/2 – 1| = 1

Case 1: x < 0 -(s/2 – 1) = 1 <=> s/2 – 1 = -1 <=> s = 0

Case 2: x > 0 s/2 – 1 = 1 <=> s/2 = 2 <=> s = 4

Therefore, s = 0, 4.

Write the interval defined by the following inequalities:

a) |x| < 2 b) |x| ≤ 2 c) |t + 2| < 1 d) |3x – 7| < 2 e) |x/2 – 1| ≤ 1 f) |2 – x/2| < 1/2

|x| < 2 <=> -2 < x < 2 <=> (-2, 2)

|x| ≤ 2 <=> -2 ≤ x ≤ 2 <=> [-2, 2]

|t + 2| < 1 <=> -1 < t + 2 < 1 <=> -3 < t < -1 <=> (-3, -1)

|3x – 7| < 2 <=> -2 < 3x – 7 < 2 <=> 5 < 3x < 9 <=> 5/3 < x < 3 <=> (5/3, 3)

|x/2 – 1| ≤ 1 <=> -1 ≤ x/2 – 1 ≤ 1 <=> 0 ≤ x/2 ≤ 2 <=> 0 ≤ x ≤ 4 <=> [0, 4]

|2 – x/2| < 1/2 <=> -0.5 < 2 – 0.5x < 0.5 <=> -2.5 < -0.5x < 2.5 <=> 5 > x > 3 <=> (3, 5)

Solve the equation |x – 1| = 1 – x.

Case 1: x < 0 -(x – 1) = 1 – x <=> -x + 1 = 1 – x <=> no solution

Case 2: x > 0 x – 1 = 1 – x <=> 2x = 2 <=> x = 1

Additionally, the equation holds if |x – 1| = -(1 – x), since this is when they are always equal to each other. For this to be true, x – 1 < 0, or x < 1.

Therefore, x < 1.

Show that the following inequality holds for all real numbers a and b:

|a – b| ≥ ||a| - |b||

Begin with the Triangle Inequality.

|x + y| ≤ |x| + |y| <=> |x| + |y| ≥ |x + y| <=> |x| ≥ |x + y| - |y|

Let x = a – b and y = b.

|x| ≥ |x + y| - |y| <=> |a – b| ≥ |a – b + b| - |b| = |a| - |b|

Similarly, |a – b| = |b – a| ≥ |b| - |a|.

Then ||a| - |b|| is equal to either |a| - |b| or |b| - |a|, and since |a – b| ≥ |b| - |a| and |a – b| ≥ |a| - |b|:

|a – b| ≥ ||a| - |b||

#math #calculus #preliminaries #single variable #real line #real numbers #absolute value #inequalities #decimals #repeating decimals #rational numbers #study blog #study notes

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jeffrmayhugh · 4 years

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Raoul Pal Makes His Bitcoin Price Prediction | Is More Than You Think!

VIDEO TRANSCRIPT

Okay. What is the risk reward upside. Well Bitcoin probably. 50 x 100 x Hey you what’s up guys. Despite the fact that Bitcoin dropped 50 percent recently I still remain very bullish over a long period of time. In this video Ali explain what happened with this recent 50 percent drop and then I will poll the CEO and co-founder of real vision who will explain his 50 to 100 x Bitcoin price prediction. Let’s take a quick look. What is going on with bitcoin market. Currently Bitcoin is straining over six thousand one hundred dollars. When this outbreak reached the United States some serious silos began to happen in different financial sectors. The S&P 500 dropped by 35 percent from top to bottom. Crude oil suffered the biggest losses. It dropped from six dollars a barrel to twenty dollars a barrel. That’s a 66 percent drop. Last time we have seen those prices back in 2001 which is almost 20 years ago. By the way recently I got some exposure to crude oil volatility. I believe in a year or two so it can be three to four x return on your investment and there is a Bitcoin. Bitcoin dropped from 10000 dollars to slightly below 5000 dollars and then it bounced back to the current price of six thousand dollars. That’s a 40 percent lowest since the beginning of this selloff. But what is very interesting about Bitcoin that most of the sell off did not come from the long term bitcoin holders. But it came from the short term speculators and relatively new traders Quinn metrics reviewed supply tracker how many old coins came back into circulation have they been on site for a specific period of time. For example 30 day review supply tracker how much supply is moved on on chain after been untouched for at least 30 day. If they look at their analysis as of March 11 the reports revealed that two hundred eighty one thousand BTC that were left untouched for at least 30 days was brought back into circulation which means short term speculators were most likely selling their bitcoins into the market. However from the stack of the bitcoin that had been on site for at least one year only four thousand one hundred thirty one BTC were released into circulation which means investors were holding in bitcoin for at least one year and most likely sold or moved 400 1 3 1 BTC into the market in the recent downturn. Investors who held bitcoin for at least three four or five years did not even touch their positions. Well it’s good to be one of them. Here is a slightly different chart that shows that March 11th was the fourth largest spike in BTC 30 day review supply over the last eight years which means traders who held bitcoin for at least 30 days were moving closely into the market and also the ever moving Bitcoin on the dip in the middle summer of 2013 when Bitcoin was around eleven thousand dollars per BTC which of course was a better time to sell. And they also were dumping bitcoin at around six thousand dollars back in late 2018 when we witnessed the biggest bear market. This is when Bitcoin dropped from 6000 to below three thousand dollars let’s take a look. What long term holders did. Meaning investors who are holding bitcoin for at least one year. Long term holders appear to be unfazed. In spite of this severe market downturn there were not really moving BTC into circulation as we see on this chart that they actually did move about two hundred thousand BTC in July to one tonight seen with bitcoin was slightly about ten thousand dollars which of course it makes sense to sell some of your BTC at highs. Now let’s take a look. Why Bitcoin can make 50 to 100 x from the current price. 50 to 100 x it would put Bitcoin price between three hundred thousand and six hundred thousand dollars per BTC. It seems like quite a lot right. But let me give you my thoughts why this could be a reality in the next few years. Firstly plan B stock to flow model is still intact despite the fact that Bitcoin recently has dropped by 50 percent from top to bottom. For the past decade. This model had 95 percent accuracy. Hands are square which is a statistical measure of how close that data are fitted into regression model. And it’s pretty pretty close. Also r squared can be determined as a future price prediction model which means this model is 95 percent confident that these data points which is in our case time Syria or bitcoin price moment will follow stuck to floor model. Another cool chart that Plan B created recently is a risk adjusted returns model which basically means how much risk do you have to take to receive a desirable rate of returns. Let’s take a quick look at the bond for example. Risk adjusted return profile is pretty low. Average return is close to zero percent. As we know that interest rates currently are at 0 percent and our risk is pretty low as well. So this is not that attractive investment at least for me. Then we have thank stocks which have slightly higher risk adjusted return profile. Let’s take a look at Google stock for example the stock can drop by 60 percent down with its 12 percent annual rate of returns which is also not that attractive but of course it’s more attractive than bonds but now the SEC a look at Bitcoin. Bitcoin can drop by 75 percent from top to bottom but it can also explode by 140 percent easily. Therefore over a long period of time Bitcoin has the best risk adjusted return profile. That’s put all those charts aside and look at the potential catalyst that can take bitcoin 50 to 100 x. What is going on in the world right now is insane productivity of our economy is dropping in the faster and faster rate as of more than three point three million people claimed for unemployment just as of last week. Government bonds are expensive with no yield. Stock market is still expensive. Well not super expensive but it’s definitely not cheap inflation rate is about to skyrocket as Federal Reserve expand its balance sheet last week. Balance sheet that was above the 4 trillion dollars and now it’s over five point two trillion dollars. It just a matter of time where we will see asset in double digits on the Fed’s balance sheet. The only take is left is commodities such as crude oil precious metals and crypto currencies as a serial entrepreneur and crypto curious investor Christopher or rather recently stated bitcoin will be safe haven in a time of hyperinflation. And I do believe this is true. Q infinity is rating placed by further other reserve but because supply won’t be changed. In fact between Kevin Cash awards is just 45 days away which is another catalyst to be super bullish. Christopher has a lot of cool post about crypto currencies and whether an economy on his Instagram if you guys are interested I really will link to his A.G. in the description bugs below and finally I will pull the big believer that beacon can make 50 to 100 extra return on investment. Those of you who do not know what all you probably worth sleeping under the rock recently. All poll is a former hedge fund manager at Goldman Sachs and the CEO and co-founder of field vision. He said something very interesting. If he had to choose one asset for the next 10 years what would it be. And his answer was bitcoin. Let’s take a look. You said something to the effect that if you could own one asset for the next decade. It would be Bitcoin. Yeah. And I’d love to understand the rash. Now the reasoning behind that. Two things. So let’s say that same 30 year old and you’ve got 10 years you’re now in your. The stage where you start really trying to. Create wealth or save some money for future retirement whatever it may be getting married or lesser. So if an equity market is all time high valuations have a fixed income market. Yes you can make money if you know what you’re doing but yields are low so holding for extended period time is not an option. Property markets are too expensive for anybody to afford. So what are you left with. Well credit markets well you really get access to those anyway they’re more for professionals and guess what they’re all time record valuations as well. So you’re stuck with everything that is normal. At all time record valuations. So what are you left with. You’ve got commodities. Okay. So if you’re looking at industrial commodities Well the reason what you’re doing because these things are massively cyclical and you can get killed in them. So then you’re left with precious metals and bitcoin. That potentially have. An upside that’s different. Now why is it different. Why is it important because. And I’m sure we’ll talk a bit about this is. The environment that we’re potentially going into with. A massive wave of baby boomers retiring. With record debts. And governments are going to have to. And central banks have to figure out how to stimulate economies which are slow anyway. But we’ve got an aging population that spend money. If I look at my father’s spending patterns after he retired we fell 70 percent. Well that’s big for 76 million people in the US alone. So what happens is it slows down economies. There’s too much debt for slow economies. It can become a problem central banks need to print more money to try and keep this thing going. And essentially ends in complex outcomes. And we don’t really know what those outcomes are. But usually they end up in some sort of massive loss of capital for a lot of people. Or a transfer of capital and losses. So that kind of thing. Is interesting. We also know we got really screwed up financial system. It never really recovered in 2008. We’ve still got too much debt. We’ve still know the European banks are a problem. You know Canada’s going to have problems with its banking sector because it lent too much of the property market. We’ve got problems. But on top of problems we got leverage on top of leverage. Well there’s never been more leverage before. How do you step outside of that. Right. And again there’s bitcoin and gold that is too obvious answers. Are they the future of money. Well gold is a money and it’s been a money for a very long time. So that’s kind of obvious. And yes we’ll gold do well. Do I own gold. Yes. Do I think it’s going up. Yes. Bitcoin different. Bitcoin is an entire it is a basically think of it as. An option on a future financial system. And it’s not just a financial system. Everything is going digital. And Bitcoin and the block chain and digital currencies and all of this world. Is like a parallel system that’s sucking the smartest people I’ve ever met. And they’re all going to develop stuff here because what they’re saying is that system can be bettered. And what Bitcoin is all about in that whole movement and Bitcoin is just the flagship of it. Is a trusted ownership of anything. And as some as friend of mine called it the security truth machine because everything is recorded by numerous parties. Basically you get rid of all of the issues the financial system of who owns what. And. Can people take your assets away from you and all of that kind of stuff. It also opens up the new world. So gamers and people who are younger understand that digital assets have value. Well right now digital assets are hard to transfer around. But once you start going to tokenization and crypto and digitize it the whole world is different. And that’s why if I look. Skate to where the puck is going as a Canadian would say. The puck is going to something new. And we know digital is everything. As Mark and Jason said software is eating the world and it is and digitization is eating well too. So as we get to digitization in a digital money I often ask myself because we’re in the gold business. Is gold a product that can continue to be relevant for a younger generation. And of course we hope so and there are digital versions of gold and trading platforms and you can buy it on your mobile phone so there are tools allowing younger generations that are more comfortable with that type of technology. But. Perhaps Bitcoin and the watch chain embraces it and speaks them more directly. Everyone gets confused about the technology because it’s too complicated for anybody to understand and the possible futures what you can build with this stuff is impossible for you to understand. But does anybody know. The molecular structure of God. No. People don’t. It’s irrelevant. With gold. Yes I think. There will always be a place because there always has been a place you know there’s always been young generate whatever. There’s always been new technologies but. Gold largest future probably lies. With other countries. Just because. So many countries have it intrinsically as part of their culture. So that’s not going away. And yes Indians will use digital currencies there. They’ve really got this incredible digital payment system we can pay with a fingerprint for a pint of milk. That’s already happening India still hold gold. Right. So there is there is room for both in the future. Absolutely. And that’s what we try to tell people as well. But when you say OK what is the risk reward upside. Well Bitcoin probably. 50 x 100 x well gold maybe 5 x 10x. The downside for gold is less bitcoin. Well it’s not a hundred percent anymore even it’s 50 percent. And it goes up. You know 100 fold. Well the reward is so skewed in favor of cryptocurrency. Well you did say near to it you’re only picking one so we’re not. And that was the point. Yeah. And I said you know gold guys I don’t it’s not why I like let it end there at the end it’s really for us because it was going to but what about gold and like the question was What is the one asset that’s gonna give you that return. Fair enough. Now if you think of Bitcoin at its simplest terms as a share on the future of a financial system well you’re going to have these roller coaster ride bubbles until eventually you get mass adoption and the volatility slows down. So yes it was a bubble. I do expect it to go through the previous highs in the next 18 months to 12 months but with bitcoin you could do it in a week and you have no idea. Right. But I do I do expect that to happen. OK I totally agree with it all polled that Bitcoin is the call option on the future financial system. It is also the main asset of my choice. Bitcoin go to 50 to 100 x is definitely probable. Specifically if it really hit some sort of paradigm shift let me know what you guys think about bitcoin price prediction go into 50 to 100 x. Do you think it’s realistic. Leave your thoughts in the comments section below. He looks like button the subscribe.

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heatherrdavis1 · 4 years

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Raoul Pal Makes His Bitcoin Price Prediction | Is More Than You Think!

VIDEO TRANSCRIPT

Via https://www.cryptosharks.net/raoul-pal-makes-his-bitcoin-price-prediction/?utm_source=rss&utm_medium=rss&utm_campaign=raoul-pal-makes-his-bitcoin-price-prediction-is-more-than-you-think

source https://cryptosharks.weebly.com/blog/raoul-pal-makes-his-bitcoin-price-prediction-is-more-than-you-think

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cryptosharks1 · 4 years

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Raoul Pal Makes His Bitcoin Price Prediction | Is More Than You Think!

VIDEO TRANSCRIPT

source https://www.cryptosharks.net/raoul-pal-makes-his-bitcoin-price-prediction/?utm_source=rss&utm_medium=rss&utm_campaign=raoul-pal-makes-his-bitcoin-price-prediction-is-more-than-you-think

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scottmapess · 4 years

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Raoul Pal Makes His Bitcoin Price Prediction | Is More Than You Think!

VIDEO TRANSCRIPT

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rawcbwzx-blog · 5 years

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Shimano Curado Baitcasting Reel Grey Rating: 4.7/5 Gear Ratio Weight Price PROS - The reel allows great angling for left-handed people - Features the advantageous Infinity Braking System: the centrifugal system - Light and portable reel; ideal for extended fishing expeditions CONS -The reel cannot handle heavy lures efficiently - The knob rotation is, notably, a little too tight for fast operational touches - Does not click for feedback when adjusting >> CLICK HERE FOR BEST PRICE

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reelscollectorsassociation · 7 years

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http://reelchase.blogspot.com/2017/05/shimano-201i-curado-lh-baitcast-reel.html

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americanfishingassociation · 7 years

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