Melody

921 Questions
34315 Answers

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Mathigon website

I just discovered a site called mathigon

https://mathigon.org/dashboard
read more ..

Melody Apr 2, 2022

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Reporting problems.

There are a number of people having problems at the moment.
If you lodge an error can you please give all relevant information that you can think of.
Where you are in the world - the city or the country - is often very important information. read more ..

Melody Mar 16, 2022

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How to make an empty rectangle in Latex

I just worked out how to make an empty box of various horizonal size easily in LaTex.
This is not a recommended method, but other methods that I have tried here have not worked.
This coding is really simple. Just put letters inside read more ..

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Melody Mar 15, 2022

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HAPPY ANNIVERSARY CHRIS! (CPhill)

I just realized that you became a member here exactly 8 years ago today!

It has been great to have you here all that time

off-topic

Melody Mar 13, 2022

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WELCOME BACK CPHILL !

Melody Feb 11, 2022

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Very interesting question. No high level maths required.

This question was posted a couple of days ago.
https://web2.0calc.com/questions/geometry_73561

I think it is really interesting. It looks much more difficult than it really needs to be. read more ..

Melody Feb 1, 2022

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Members have a better experience. Their questions get more attention.

Almost everyone is posting as a guest.
If you post as a member your questions will have a far greater chance of a timely and helpful response.
If you are a genuine learner and interact with us, you will become known and answerers will do read more ..

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Melody Jan 9, 2022

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HAPPY BIRTHDAY CHRIS!

Melody Dec 20, 2021

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Some guidelines for question askers.

Please note:
1) Ask only one question per post.
2) When asking a question talk about what you have tried for yourself. Then people will take you more seriously and will be more able and willing to help.
3) If you get an answer read more ..

off-topic

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Melody Nov 4, 2021

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Remeniscing - a little historical humour.

I just found this old post that some of you, who have been around for a while, might find amusing.

https://web2.0calc.com/questions/look-at-the-new-leader-board

off-topic

Melody Oct 29, 2021

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http://www.youtube.com/watch?v=LUI0guz4od4

I don't need to answer because this utube clip does it much better.

MelodyOct 10, 2013

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That is correct so long as the 3*3 is in brackets
2^3*3=24
2^(3*3)=512

Remember, you must do powers before you do multiply UNLESS the brackets tell you differently.

MelodyOct 10, 2013

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ok
Firstly Mcfood, area cannot be cubic
Area must be in square units and Volume is measured in cubic units.
Land is an area.
so the size is probably supposed to be 1000 square metres.

I'll assume it is a rectangular parcel of land.
It could be 100m by 10m
or, it could be 50m by 20m
or, it could be 5m by 200m
There are countless possible answers.
So long as the breadth times the length = 1000
Area of a rectangle
A=l * b

MelodyOct 10, 2013

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1.5/100 * 5878.08

MelodyOct 9, 2013

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Your question doesn't really make sense.
do you mean a plot of land? That would be measured in square metres.
If the plot is rectanglar there is an infinite number of different answers.
Sorry, you will need to be more precise.

MelodyOct 9, 2013

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I would still like to know what nEZ+ stands for but this it the solution.

Maths induction 131009.jpg

MelodyOct 9, 2013

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I am not sure that I understand the question.
Do you mean

a ₁=1
a _n+1 = 4 + 2(a _n) ^1/3

so the sequence is 1, 6, 4+2*(6 ^1/3), 4 + 2[4+2*6 ^1/3] ^1/3, .....

Also, what is nEZ+ I am not familiar with this notation.

It does look hard. If you tell me that my interpretaion is correct then I will give it a go.

MelodyOct 9, 2013

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(4x-4)^2 = (2x+9)^2 + (2x)^2
16x ² - 32x + 16 = 4x ² + 36x +81 +4x ²
8x ² - 68x - 65 = 0

Then you have to use the quadratic formula to get the 2 irrational roots.

MelodyOct 9, 2013

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9x^2-23=0
9x^2 = 23
(3x) ²= (root23) ²
3x = root23
x = (root23)/3

This is not usually referred to as completing the square but I guess it is what you want.

MelodyOct 9, 2013

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This is a really good question.

The inverse function is the reflection of the function in the line y=x

You can find it by swapping the position of the xs and ys in an equation

for example
y=3x+4
the inverse function would be
x=3y+4
and when rearranged this gives y=(1/3)(x-4)

MelodyOct 9, 2013