Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#51 Re: Exercises » Compute the solution: » 2015-03-01 01:43:10

The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member.

Find how much younger is the new member ?

#53 Re: Euler Avenue » Grant Wiggins Challenge » 2015-02-14 18:15:29

4. 1/60, 0.002, 0.00156, 0.0015, 0.001

1. What would it mean if one is dividing by 0? what is the denominator in this operation? what does one expect to get as an answer if dividing by zero?

12. no, mathematical operations can enable one to derive it as a 'yes' but what does it mean?

7. mean hides the outliers and it assumes that the data that it represents is centered around the mean?

#54 Re: Exercises » Compute the solution: » 2015-02-14 17:59:02

Thanks.

I was trying to solve it by taking ax^2 + bx + C =0 where a was an extra variable i.e., 3 variables (a,b, & c) and 2 equations.

#55 Re: Exercises » Compute the solution: » 2015-02-14 16:46:41

Thanks, i understood.
But why isnt' the quadratic polynomial assumed to be ax^2 + bx + c = 0...

ganesh wrote:

Hi bobbym and NakulG,

bobbym :- The solutions 166 (i) and (ii) [(a) and (b)] are correct. Excellent!

NakulG,

.

167. Find the value for K for which the given points are collinear:
(2,-5), (3,-4), and (9.K).

168. Using the concept of slope, show that the points (-2,-1), (4,), (3,3), and (-3,2) taken in order form a parallelogram (mid-points of AC and BD are the same).

#56 Re: Exercises » Compute the solution: » 2015-02-14 07:01:16

Hi Can you please explain solution of 162

Thanks
Nakul

ganesh wrote:

Hi bobbym,

The solution 160 is correct. Good work!

163. Find the area f the quadrilateral formed by the points (-4,5), (0,7), (5,-5), and (-4,-2).

#57 Re: Exercises » Compute the solution: » 2015-02-14 05:31:17

bobbym wrote:

Hi;

same answer no two answers

#59 Re: Help Me ! » What is this series and what are its next numbers? » 2015-01-14 18:30:01

Here we assume that it is a 4th degree polynomial. If it were a 7th degree polynomial then how do we calculate?

#60 Re: Help Me ! » What is this series and what are its next numbers? » 2015-01-14 17:09:13

I formed the difference table. But in this table the fourth difference is 36 and it is not a constant like you showed in the earlier example. Interesting, but don't know why.

#61 Re: Help Me ! » What is this series and what are its next numbers? » 2015-01-02 23:33:48

Thanks so much.
This is helpful.
Also any place from where I can know about the method of differences.

#62 Re: Help Me ! » What is this series and what are its next numbers? » 2015-01-02 21:04:20

Also the fourth term of the series, how do we exactly get that to 100?
Thanks

#63 Re: Help Me ! » What is this series and what are its next numbers? » 2015-01-02 21:02:50

Ok, so how did you arrive at the exact fractions Form of the equation, that would be interesting to learn.
Thanks
Nakul

#64 Re: Help Me ! » What is this series and what are its next numbers? » 2015-01-02 20:34:49

how are they different? am i missing something  can you please explain.
thanks

#65 Re: Help Me ! » What is this series and what are its next numbers? » 2015-01-02 17:54:06

actually both the polymonials are same...but how did you get at the expression?

#66 Re: Help Me ! » What is this series and what are its next numbers? » 2015-01-02 17:43:04

i ran the formula, the series i am getting is as follows:
15, 35, 53, 99.999..., 243, 585, 1265, 2458, 4375, 7263
The original series is:
15,35,53,100,243
The series as per floating point method -
15.0000, 35.0002, 53.0008, 100.0020, 243.0040, 585.0070, 1265.0112, 2458.0168, 4375.0240, 7263.0330

Your method is very accurate, only the 100 digit is not fully accurate  can you help.
Can you also explain how you got to this that would be really interesting.

Thanks

#67 Re: Help Me ! » What is this series and what are its next numbers? » 2015-01-02 15:25:07

can you help me find the series accurately...
thanks

#68 Re: Help Me ! » What is this series and what are its next numbers? » 2015-01-02 15:18:14

i found the series on a site on the internet, i will try to send its link.

But on solving it (in excel on charts)  the closest i have been able to get is the following equation

y = 1.5x4 - 9.8333x3 + 20.5x2 + 4.8333x - 2
but it is still not completely accurate (beyond 4 decimal points)

the next number in the series as per the above equation is
15, 35,53,100,243, 585, 1265

#69 Help Me ! » What is this series and what are its next numbers? » 2015-01-01 21:13:04

NakulG
Replies: 22

I came across this set of numbers,

15, 35, 53, 100, 243, ..., ...

I am trying to find out what is the next term in the series, can you help.
Thanks
Nakul

#70 Re: Help Me ! » Pappus nested circles » 2014-09-15 05:11:34

Ok yes, but we don't need the first three as the ab /ac is a ratio, so we can in fact start from any circle number and construct the chain - on a spreadsheet program, but for paper and compass exercise we ended all the circles 1,2 and 3. I will construct using compass and let you know the steps...
Thanks so much.

#71 Re: Help Me ! » Pappus nested circles » 2014-09-15 04:34:25

Got it, the open office calc program has a challenge in terms of making a bubble chart that is relative rather than absolute area size.
Next is the construction using compass and scale...
Thanks for the help...

#72 Re: Help Me ! » Pappus nested circles » 2014-09-13 08:41:25

ohhh,
it is 2 am in the morning, i think i will get back to this later in the day tomorrow .., thanks for helping, i will continue to find the solution ... in the meantime if you have any suggestions please let me know ...
Thanks in advance

#73 Re: Help Me ! » Pappus nested circles » 2014-09-13 08:38:11

maybe i should calculate the points of tangency ad see if these lie on the circle circumference

#74 Re: Help Me ! » Pappus nested circles » 2014-09-13 08:35:47

right
But the p1 and P2 and P3 and so on .. itself are not touching each other ... these are only dependent on the ratio, so these should touch, or am i missing something here ...

#75 Re: Help Me ! » Pappus nested circles » 2014-09-13 08:32:17

As i understood, r is a ratio, AB/ AC = 1/2, ... even if the value are a and b the ratio is what will get used on the formula's...is my understanding correct?

Board footer

Powered by FluxBB