When it says "Three of the kittens are white with spots." I interpret this as meaning the union of white and spots. I didn't assume I was being told anything about those three kittens' tails. Hence t + w.

That's where I went wrong: I'd misinterpreted that, and didn't apply the union. And so t + w = 3 is right.

z, w, then t, then v, then x, then u, then y.

You're testing me again!

]]>You can easily find all your posts by one of the following 2 methods.

Method 1:

- Log in, and click 'Profile' in the header bar near the top of the page.

- The Essentials page of the 'Profile menu' page should then display, but if it doesn't, click 'Essentials' in the menu on the left.

- Click 'Show all posts' in the 'User activity' panel that's near the bottom of the page.

Your posts will then be displayed, in descending date order, on the next page - 'Index » Search » Posts by EbenezerSon' - or over multiple pages if they don't all fit on 1 page.

The header bar above each post contains links to the respective forum, topic and post pages.

Method 2:

- Whether you are logged in or not, click on your 'live' name in the left-hand-side panel of any of your posts to access your profile page, and click 'Show all posts' in the 'User activity' panel.

Topics:

- To find all your topics instead, just select 'Show all topics' in the final step of either method.

Other members:

- Method 2 can be used to find posts and topics of other members too, by clicking on their 'live' name in one of their posts.

I hope that clears it up for you.

]]>How many figures make trillions?]]>

I’ve actually posted on another forum where the idea’s been changed to:

**If an integer, 2p + 1, where p is a prime number, is a divisor of the Mersenne number **

My argument is that because divisors of the Mersenne number

can’t be < p if p is a prime number. Therefore if 2p +1 is a divisor of it has no divisors as p is > the square root of 2p + 1. This will therefore make 2p + 1 a prime number.What I’m also interested in is how to put the idea that:

** An integer minus one, divided by 2, p times equals zero, will be a factor of **

Welcome to the forum.

This question has been asked many times. Post 18 of this thread:

http://www.mathisfunforum.com/viewtopic.php?id=18391

has a diagram that may help.

Bob

]]>I see where you're going with this, expanding (x + y√2)^3 gives x^3 + 3√2x^2y + 6xy^2 + 2√2y^3 = 7 + 5√2

Now if I substitute x = 1 and y = 1 on the LHS I do get the RHS, and this gives 1 + √2 as required, but is there a more systematic way to find the values of x and y?

It reminds me of the technique of using undetermined coefficients in partial fractions, but not sure how to do it in this case...

Thanks again.

Cannot provide a diagram but hopefully you can sketch this. Starting at the top and going round clockwise, call the points A, B, C, D, E, and F. Then the height is AE = 14.

Triangle AEF is isosceles with angles 120, 30 and 30.

To make a right angle draw a line across from F to C. Where FC cuts AE call this point G. Then triangle AGF is 30, 60, 90 with AG = 7.

So use trig to calculate AF.

Bob

]]>I haven't got access to my geometry program at the moment but 115 looks ok with a rough sketch. The parallelogram of forces has a long side for the horse so the human has to have a southward component to change the angle to 51.

For the second one the orthogonal vector will have the form (1 , 3). Form an equation using lambda and mu

(-2 , 5) = lambda(3 , -1) + mu(1 , 3) and solve for the unknowns.

Bob

]]>hi Strangerrr

Wow! That's from a long time ago. Who is still re-cycling these questions?

I am surprised that it wasn't me.

]]>Bob

]]>Welcome to the forum!

... is a recurring decimal, on the other hand, 0.428571 is a terminating decimal.0.428571 is a little lesser than

,The values being

..Please see Fractions/Decimals.

]]>Thanks for posting back with that result. Well done! It was a pleasure to help you.

Bob

]]>