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BMAD

Member Since 18 Feb 2013
Offline Last Active Yesterday, 08:03 PM
*****

#332576 Roads can curve too

Posted by BMAD on 26 May 2013 - 02:45 PM

A couple weeks ago, I created a question requiring the shortest path.  Now for this question, assume that roads can be curved.  We need a road that can pass through the following four cities (location of each city listed as coordinates): Los Angeles (3,4), Newport Beach (5,1), Pasadena (4,5), Santa Monica (2,3).

 

a) What's the smallest degree polynomial y=f(x) that will pass through all four cities? . . .
b) What is the exact equation of this polynomial? (Hint: use fractions not decimals)
c) Would this road go through Chatsworth at (1,6)?

 


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#332561 Reputation

Posted by BMAD on 26 May 2013 - 05:04 AM

I think someone has an issue with me.  I have been working hard to keep the forum questions alive but someone or maybe several people have gone through and have marked down every entry i have posted.  This upsets me and makes me not want to continue participating here.


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#332547 The deconstruction and reconstruction of numbers pt. 2

Posted by BMAD on 25 May 2013 - 11:13 PM

From now on, the "+" symbol no longer means to combine the count of objects (e.g. 3 things plus 4 things make 7 total things would not be modeled as 3 + 4 = 7).

 

Instead, the use of the + symbol is to show  5 + 3 = 7 to resolve the question of "how many spaces between objects are created when you line up five things and three things"

(ex: t _ t _ t _ t _ t _ t _ t _ t ) and this is now to be considered addition

 

If the other basic computational symbols maintained the same relationship to addition as they had before this new convention what would be the answers to the following problems?

 

4 - 3 = ?

 

3 x 3 = ?

 

9 / 3 = ?

 

sqrt (36) = ?


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#332546 The deconstruction and reconstruction of numbers

Posted by BMAD on 25 May 2013 - 10:52 PM

List out the numbers from 1 to 150 in a vertical column.  Left align all of the numbers to where the leading digit of the number is directly on top of the next number's leading digit

 

(e.g. for the numbers 9, 10, and 11.  9 would be above 1 and that above 1 where zero would have nothing above it and 1 below it

ex.

...

9

10

11

...

)

 

remove the nothing space above all the numbers to where the numbers are shifted up until they are at the top creating a list of new numbers.  With this new list of numbers what is the probability of randomly selecting 322? 99? and 140?


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#332542 Kissing Circles

Posted by BMAD on 25 May 2013 - 09:28 PM

If three circles are mutually tangent where one has a radius of 3cm, another has a radius of 4cm, and the last has a radius of 5cm.  What is the area of the region bounded between the three circles?


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#332541 The Age-Old Lie

Posted by BMAD on 25 May 2013 - 09:25 PM

A reporter on New Year's Eve 1993 wanted to know, from Pat and Chris, how old they were, but felt (correctly, it turns out) that one would lie. So the reporter asked them both, "Write down your age now, your age at the end of next year, add these together, then multiply the result by 5," quickly followed by: "now add the last digit of the year you were born." They had no time to fake that last digit; Pat answered 281, while Chris announced 229. Who was lying, and what were their real ages at the time?

 


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#332540 Train then Car

Posted by BMAD on 25 May 2013 - 09:22 PM

Every day, Ellie takes the commuter train and arrives at the station 8:30 AM, where she's immediately picked up by a car and driven to work.  One day she takes the early train, arrives at the station at 7:00 AM, and begins to walk towards work. The car picks her up along the way and she gets to work 10 minutes earlier than usual. When did Ellie meet the car on this day?

 


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#332539 Friday the 13th

Posted by BMAD on 25 May 2013 - 09:12 PM

What is the maximum number of Friday-the-13ths that there can be in a single year? What is the minimum number?

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#332538 Can you tell me how to get....

Posted by BMAD on 25 May 2013 - 09:05 PM

The people living on Sesame Street all decide to buy new house numbers, so they line up at the store in order of their addresses: 1, 2, 3, . . . . If the store has 100 of each digit, what is the first address that won't be able to buy its house numbers?

 


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#332455 Tangent to two circles

Posted by BMAD on 22 May 2013 - 11:26 PM

Two circles are drawn with five inches between the centers.  A line is drawn tangent to the bottom of one circle and the top of the other.  The circumference of one circle is 6.28 inches.  The area of the other circle is 12.56 inches squared,  Angle x is formed by the tangent line and the line between the centers.  Determine angle x.  (assume that pi = 3.14)


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#332435 Crazy People

Posted by BMAD on 21 May 2013 - 11:26 PM

paradox.png


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#332423 Winoc Sells

Posted by BMAD on 21 May 2013 - 05:23 AM

Spoiler for to get you started


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#332419 How Low can U go?

Posted by BMAD on 21 May 2013 - 04:45 AM

 

Spoiler for Well

Spoiler for And

 



I get

 

Spoiler for

 

 

a b and c are digits not integers, good idea though.  If they were integers there would still be smaller answer then what you have found here.  can you find that answer too?

 

 

I disagree with your first solution (well) since it is undefined, we don't know if the value is defined to mean min or max as it is undefined


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#332418 How Low can U go?

Posted by BMAD on 21 May 2013 - 04:42 AM

Spoiler for We'll go with...

i found an error in my calculation using 189/18 = 10.5 oops nice work!


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#332415 number maze

Posted by BMAD on 21 May 2013 - 02:01 AM

logic puzzle.png


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