Obviously sound can travel through space; Voyager 1 has received interstellar sounds

No....using Guy A as 24 hours and Guy B as 12 hours to paint a home....FIRST...you multiply A x B....or 24 x 12 = 288.

Then you ADD A + B....which is 24 + 12 = 36

Then you take A x B = 288 / A + B = 36

288 divided by 36 equals 8 Hours that it would take both Guys to paint the home.

AboveAlpha....so...A x B / A + B

 

Yeah, that's what I said. Your method remains simple, while the other methods become more complicated, but they still work. You added the condition "within a viable amount of time". I did not. Besides, "viable" would mean different things in different situations. If you have two free hours, and feel like doing some math, then two hours would be viable. Or three, four, or five...

 

As proof.

If Guy A takes 4 hours to paint the entire home and Guy B as well takes him 4 hours....then...

A x B...or 4 x 4 =16.....A + B.....or 4 + 4 = 8

16 divided by 8 = 2 hours.

Thus two men who take 4 hours each by themselves to paint a house together can paint it in 1/2 the time.

But if you use your formula....A + B / A x B....that would be 4/16....or 4 divided by 16 = 1/4 Hour.

.25 or 1/4 Hours is wrong.

Multiply A and B then divide by A + B

AboveAlpha

 

I didn't say it couldn't be done that way.

I just said it would take a long time.

AboveAlpha

 

Yes, it would certainly be impractical.

 

1/4 + 1/4 = 2/4ths, or two houses in four hours, or one house in 2 hours.

If A paints 3.6 houses in 12.5 hours, and B paints 4.7 houses in 13.8 hours, how long does it take to paint one house?

Easy, 1/(3.6/12.5 + 4.7/13.8 ) is the answer.

How long does it take to paint two and a half houses?

Easy, 2.5/(3.6/12.5 + 4.7/13.8 ) is the answer (don't have to calculate how long to paint one house first)

No AB/(A+B) here. Anyway, how did you derive AB/(A+B)?

 

You posted that the formula was A x B / A + B was reversed...it is not.

AboveAlpha

 

I know it's not, I believe I misread one of your posts and thought you posted the reciprocal. In any case, I have not used AB/(A+B) or (A+B)/AB in any of my calculations. Care to answer the questions or have we beat a dead horse?

 

You have to forgive my slowness today as I hit my head HARD on a pipe in the 3rd Basement Level of one of our larger buildings today as we are in the process of a complete renovation plus we are installing High Efficency Heating and Cooling Systems.

I hit my head so hard I was actually seeing stars....NO S#!%!

One of my men said he actually felt the concussive force of the air mass movement when I hit it....so I am slow today.

OK....please re-explain.

AboveAlpha

 

Very well, it's late for me here too, I'll try to go slow. I only have 2 questions but I'll be verbose.

So question number 1, how did you arrive at that formula? It's not apparent how the problem becomes AB/(A + B). Where did you get that from?


You're formula is correct, but it's limited. It's the same as mine (we get the same answers) just simplified.

Here's my formula: R1 + R2 = R3, painting rate of A = R1, painting rate of B = R2, total rate = R3. Simple eh? Some examples:

A paints a house in 4 hours. B paints a house in 4 hours. A's rate is 1 house in 4 hours, 1/4. B's rate is 1 house in 4 hours, 1/4. R1 = 1/4, R2 = 1/4. R3 = 2/4, which can be simplified to 1/2, or one house in two hours. That's a very simple example.

Now, taking your earlier problem, A paints a house in 18.593 hours, B paints a house in 11.76 hours. My way: A's rate is 1 house in 18.593 hours, 1/18.593. B's rate is 1 house in 11.76 hours, 1/11.76. R1 = 0.05378. R2 = 0.08503. R1 + R2 = 0.1339. R3 is houses per hour, so we simply take the reciprocal to get hours per house, 1/0.1339 = 7.2 hours which is what you get in your formula.

Still not so hard, and still doable by AB/(A+B).

Now, no so simple:

Guy A paints 3.5 houses in 45.7 hours. Guy B paints a house in 2.6 houses in 43.7 hours.

Question 2, how long does it take them to paint 2.5 houses? And, can you do that without calculating how long it takes to paint one house first?

 

OK...the Algebraic Formula was developed thousands of years ago and the Greeks were using it as well as the Persians....I can't recall the name of who developed it.

As to your other question....45.7/3.5= Approx 13 Hours.....43.7/2.6=Approx. 16.8 Hours

13 x 16.8 =218.4

13 + 16.8 = 29.8

218.4/29.8 =Approx. 7.33

7.33 x 2.5 = 18.325 Hours.

AboveAlpha

 

Sound is perception I think.... what is being talked about is probably better called noise, unless it has some information associated which would be its signal strength

 

So how did you know the formula developed thousands of years ago (I can derive it right now) applies to this particular problem? How is someone, who is learning math and algebra, supposed to know this? You see, this is exactly the problem with math in our schools. Telling someone a formula is BS, teaching them how to derive the formula is where it's at. In fact, they don't need to create a formula if they can solve the problem intuitively. If they need to solve many problems of the same kind (e.g., entering the formula into a computer), then it becomes important, and we should teach that.

Maybe someone like fithofnovember or AlpinLuke can chime and say how they would know to use that formula in this case?

Right, you had to compute the time for one house first. That's an intermediate step that's not required by my method. Of course you get the right answer so it's certainly not wrong. But, if you had to solve it generally, in a computer, what would you come up with? How would you explain this to a student, where's A and B here that I can plug in like a student robot that exists in today's schools?

 

And with the consensus of the labor union [despite Guy A and Guy B are members of the same labor union!].

 

I am not running mentally on all cylinders tonight so bear with me.

I was posting a few days ago about exposing kids even in 1st grade and each consecutive grade to a little bit of Algebra and I would add Geometry to that as well.

The KEY is to put a practical face upon the Math as just trying to get kids to memorize Formulas without allowing them to understand why the formula works and what it can be used for as without such knowledge kids just SHUT DOWN.

Now I admit when I was taught Algebra and I had it in 5th grade....it was all rammed down our throats...MEMORIZE! MEMORIZE! MEMORIZE!!!....and some kids just shut down.

I was upset as well but since I have a logic based mind and a crazy memory I committed a lot of formulas to memory and I understand them intuitively...but most people are not like this.

I was doing basic solutions to Algebraic equations in my head until we got up to Quadratic Equations using everything from multiple representations to percentages of multiple unknows and up to 4 decimal points of unknowns and THAT is when solving them in my head got me in a bind and I realized that it was easier to go through the process.

Now as far as WHY A x B/ A + B works....it is because some Greek thousands of years ago realized a MATHEMATICAL RELATIONSHIP existed and RATIO to the represented data could be achieved my getting the Product of the two and dividing it by the sum of the two.

Sort of like the same way that Pi was calculated as at some point in history a person took a buch of varying in circumference circles and took some string and measured the distance around all of them then measured the distance of the diameter of all of them and came to the realization that the Circumference of a circle was always the same ratio of 3.141...etc...times the length of the Diameter and this was called Pi.

So....in many cases Formulas and Equations are going to be based upon the Natural Space-Time Geometry of our Universe....and in some cases there is going to be things we can just look at and easily figure out.

BUT....if I did not know what Pi was and I just had the distance of the Diameter of a circle....and nothing else....I could only GUESS and I would not be capable of accurately calculating that circles circumference.

So at the least...we have to put a face on this for kids or show them what they can do with some of this knowledge that it took Human's a LONG time to figure out.

AboveAlpha

 

Yeah....High School Teacher A....has a 90% passing ratio of all 100 students.

High School Teacher B...has a 41% passing ratio of all 100 students.

Teacher A teaches in the same urban school as Teacher B.

Teacher A is a former member of ACORN.

Teacher B is a former F-15C Pilot in the USAF.

Teacher A is given acolades.

Teacher B is villified by students and other teachers and especially villified by the School Board that is worried about once again dropping below the curve set by the State and Federal Government as they were for 2 decades below the curve...that is until they began hiring a LOT of Teachers like Teacher A.

Now...who get's paid more?

AboveAlpha

 

So, having kids memorizing formulas is bad, but since you memorize formulas it's all ok? Holly horsepoop! How about having kids solve problems rationally? We DO have to teach them how to figure out PI, at least to 3 digits. Even if it's 355/113. Actually measure a circle, with a rule or string or whatever. This isn't frigging magic, it's math.

 

You didn't get me.

I was saying that if at all possible Formulas and the logic that created them should be explained as this makes it easier to memorize and retain.

But there are always going to be Formulas that must be committed to memory such as....

.....Volume of a Sphere = 4/3 π r3

This needs to be memorized.

AboveAlpha

 

That doesn't need to be memorized, it can be derived.

You have the formula for 2 painters, what's the formula for 3 painters?

 

Is it a bird, is it a plane? - No it's a big ol' Giant Pink Fire Extinguisher...

Interstellar Visitor Shaped Like a Giant Pink Fire Extinguisher
November 16, 2017 — A newly discovered object from another star system that's passing through ours is shaped like a giant pink fire extinguisher.

 

And these people vote

 

Mind, I am talking about the first posters here, the ones who think Space is filled with the Music of the Spheres. Those who found Oumuamua may have my franchise, as obviously they will use it better

 

Oh oh ...

I've had a good number of houses painted, and can safely say that in the real, one must account for beer.

And, that changes the curve, as 1 painter means 6 beers per person while 2 painters means only 3 beers per person.

So, you clearly can not simply add their painting rates!

Worse yet, if you hire 6 painters, the number of beers becomes unknowable.

 

So what do Microphones In Space pick up?
Or is the alleged sounds from space created by
electronically converting something else to sound.


Moi


r > g

Across an immense, unguarded, ethereal border, Canadians, cool and unsympathetic,
regard our America with envious eyes and slowly and surely draw their plans against us.

​

 

Yes, there certainly are cases where phenomena are converted to sound in order to convey what is being witnessed.

The LIGO sound track of the black hole collision is an example. The base data had nothing to do with sound - it had to do with warping space/time.

Maybe it's a little like the false color maps we see that indicate population density, temperature, or whatever - color used for communication of something that isn't related to color.

Of course, people can talk to each other inside a satellite if we put air in there.​