How I can prove that for any nature number $n$ such that $30 February 9

How I can prove that for any nature number $n$ such that $30
I need to proof that for any nature number $n$ such that $30<n$: $$\pi(4n-3)<n.$$ In this inequality, $\pi(x):\mathbb{N}\to \mathbb{N}$ is the defined as follows: $$\pi(x):=\lbrace p \ ...

systems of modulo equations not relatively prime February 9    1

How would I go about finding a solution to the following system?$x\equiv 1\text{ mod }12\ \ \ \ \ \ \text{(1)}\\x\equiv4\text{ mod }21\ \ \ \ \ \ \text{(2)}\\x\equiv18\text{ mod } 35\ \ \ \ \text{(3)}$It is a problem because $\gcd(12,21,35)\neq1$.I c

Using Modulo reduction February 9

I'm really confused on how to do modular reduction. I understand we're supposed to take the factor of the exponent?for example how would I go about doing modular reduction on: $5^{17}$ mod 16

How to prove that a convex polygon is cyclic February 9

Is there an easy way to tell if a convex polygon is cyclic? I was told that if the vertices of the $n$-gon are $A_1,A_2,\ldots,A_n$, it is enough to prove that $A_1A_2A_3A_i$ is cyclic for each $i$ in $4 \leq i \leq n$. Does any know or can prove thi

How Much Weight Would This Put On The Legs Of The Desk February 9

How Much Weight Would This Put On The Legs Of The Desk
first time on this site and I need help with this, I got 2 stands 1 is longer and goes top of the other. The top of the stand will have 70 lbs on it and I want to know how much pressure (if ...

Connecting up boxes mathematically (Puzzle) February 9    1

Connecting up boxes mathematically (Puzzle)
How would you connect each black box once to each colored box without any lines overlapping, this is racking my brain so please help.Note that you can move the boxes where ever you want.Mayb ...

You Might Also Like