член: SpicyP

29 Questions
7 Answers

546

+133

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

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SpicyP 14 сент. 2020 г.

774

+133

Cauchy-Schwarz Inequality Question

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

(a) Prove that
прочитайте больше ..

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SpicyP 27 авг. 2020 г.

501

+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

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SpicyP 22 авг. 2020 г.

-1

615

+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, прочитайте больше ..

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SpicyP 21 авг. 2020 г.

1124

+133

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

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SpicyP 19 авг. 2020 г.

956

+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.

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SpicyP 17 авг. 2020 г.

648

+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

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SpicyP 14 авг. 2020 г.

620

+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.

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SpicyP 10 авг. 2020 г.

807

+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.

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SpicyP 8 авг. 2020 г.

646

+133

Question about Piecewise Functions

Let for

(a) Find all such that
прочитайте больше ..

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SpicyP 6 авг. 2020 г.

900

+133

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

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SpicyP 3 авг. 2020 г.

1164

+133

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

Tiggsy ●●●●●●●●●●●●●

SpicyP 2 авг. 2020 г.

1001

+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 прочитайте больше ..

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SpicyP 31 июл. 2020 г.

500

+133

Divisor Function Question

Find all positive integers n such that ϕ.

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SpicyP 27 июл. 2020 г.

827

+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.

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SpicyP 3 июл. 2020 г.

581

+133

PLEASE HELP question about induction

Prove that is divisible by for all nonnegative integers n.

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SpicyP 3 июл. 2020 г.

601

+133

question need help :)

The sequence is defined by and

for прочитайте больше ..

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SpicyP 25 июн. 2020 г.

767

+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 прочитайте больше ..

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SpicyP 22 июн. 2020 г.

958

+133

Probability Question help pls !!!!!

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

(a) Find the probablity that
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SpicyP 19 июн. 2020 г.

+133

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

SpicyP31 июл. 2020 г.

+133

What was the answer for this?

SpicyP23 июл. 2020 г.

+133

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

SpicyP3 июл. 2020 г.

+133

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

SpicyP22 июн. 2020 г.

+133

how do you know that x = y = z?

SpicyP14 июн. 2020 г.

+133

That cubic polynomial doesn't work.

SpicyP29 мая 2020 г.

+133

Can you elaborate please...

SpicyP22 мая 2020 г.

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