Member: SpicyP

29 Questions
7 Answers

577

+133

Show there are infinitely many primes that are equivalent to 1 (mod 8).

●

SpicyP Sep 14, 2020

799

+133

Cauchy-Schwarz Inequality Question

Let a, b, c, d, e, f be nonnegative real numbers.

(a) Prove that
read more ..

●

SpicyP Aug 27, 2020

531

+133

Perfect Squares Question

Prove that there exists a positive integer N such that there are at least 2005 ordered pairs (x, y), of non-negative integers x and y, satisfying

●

SpicyP Aug 22, 2020

-1

645

+133

Distributions Question

(a) There are n chairs in a row. Find the number of ways of choosing k of these chairs, so that no two chosen chairs are adjacent.
(b) There are 10 chairs in a circle, labelled from 1 to 10. Find the number of ways of choosing 3 of these chairs, read more ..

●

SpicyP Aug 21, 2020

1152

+133

Let x, a, b, c be nonnegative real numbers. Prove that

●

SpicyP Aug 19, 2020

986

+133

Let n be a positive integer. Prove that there exists a positive integer m > 1000...

Let n be a positive integer. Prove that there exists a positive integer m > 1000 with the following two properties: m’s last 3 digits are 007, and m is relatively prime to n.

●●

SpicyP Aug 17, 2020

682

+133

From the set ten numbers are chosen at random, forming a subset. Let be the largest element among the ten numbers. Find the expected value

From the set ten numbers are chosen at random, forming a subset. Let be the largest element among the ten numbers. Find the expected value of

●

SpicyP Aug 14, 2020

648

+133

Show that if x, y, z are integers such that x 3 + 5y 3 = 25z 3 , then x = y = z = 0.

Show that if x, y, z are integers such that x3 + 5y3 = 25z3, then x = y = z = 0.

●

SpicyP Aug 10, 2020

837

+133

(a) Prove that given any 5 integers, there exist three of them whose sum is divisible by 3.

(a) Prove that given any 5 integers, there exist three of them whose sum is divisible by 3.
(b) Prove that given any 17 integers, there exist nine of them whose sum is divisible by 9.

●

SpicyP Aug 8, 2020

679

+133

Question about Piecewise Functions

Let for

(a) Find all such that
read more ..

●

SpicyP Aug 6, 2020

923

+133

How many zeroes does 66! end in when written in base 12?

●

SpicyP Aug 3, 2020

1180

+133

Let . Prove that there exists a unique positive integer k such that is a perfect square.

Tiggsy ●●●●●●●●●●●●●

SpicyP Aug 2, 2020

1027

+133

One to one correspondence question help pls

In a single-file queue of n people with distinct heights, define a blocker to be someone who is either taller than the person standing immediately behind them, or the last person in the queue. For example, suppose that Ashanti has read more ..

●●

SpicyP Jul 31, 2020

533

+133

Divisor Function Question

Find all positive integers n such that ϕ.

●

SpicyP Jul 27, 2020

848

+133

Consider the set . Prove that one can choose T to be a element subset of S such that none of the elements of T can be represented as the

Consider the set . Prove that one can choose T to be a element subset of S such that none of the elements of T can be represented as the arithmetic mean of two distinct elements of T.

●

SpicyP Jul 3, 2020

613

+133

PLEASE HELP question about induction

Prove that is divisible by for all nonnegative integers n.

●●

SpicyP Jul 3, 2020

630

+133

question need help :)

The sequence is defined by and

for read more ..

●

SpicyP Jun 25, 2020

802

+133

Counting Questions need help quick pls !!!

(1) Given a regular octagon, in how many ways can we color one diagonal red and another diagonal blue so that the two colored diagonals cross (in the interior)? Consider rotations and reflections distinct.

(2) There are 2 senators read more ..

●●

SpicyP Jun 22, 2020

979

+133

Probability Question help pls !!!!!

Let . Three subsets A, B, C of S are chosen at random.

(a) Find the probablity that
read more ..

●

SpicyP Jun 19, 2020

+133

I found that website but I didn't really understand their answer so I came here :)

SpicyPJul 31, 2020

+133

What was the answer for this?

SpicyPJul 23, 2020

+133

wow I really wish I thought of that !!! thanks

SpicyPJul 3, 2020

+133

Thanks for responding but your answers aren't correct :(

SpicyPJun 22, 2020

+133

how do you know that x = y = z?

SpicyPJun 14, 2020

+133

That cubic polynomial doesn't work.

SpicyPMay 29, 2020

+133

Can you elaborate please...

SpicyPMay 22, 2020

Username	SpicyP
Score	133
Membership
Stats
Questions	29
Answers	7