The Challenge (originally known as Road Rules: All Stars, followed by Real World/Road Rules Challenge and occasionally known as The Real World/Road Rules Challenge during this time), is a reality competition show on MTV that is spun off from two of the network's reality shows, The Real World and Road Rules. Originally featuring alumni from these two shows, casting for The Challenge has slowly expanded to include contestants who debuted on The Challenge itself, alumni from other MTV franchises including Are You the One?, Ex on the Beach (Brazil, UK and US), Geordie Shore and from other non-MTV shows. The contestants compete against one another in various extreme challenges to avoid elimination. The winners of the final challenge win the competition and share a large cash prize. The Challenge is currently hosted by T. J. Lavin.
The series premiered on June 1, 1998. The show was originally titled Road Rules: All Stars (in which notable Real World alumni participated in a Road Rules style road-trip). It was renamed Real World/Road Rules Challenge for the 2nd season, then later abridged to simply The Challenge by the show's 19th season.
Since the fourth season, each season has supplied the show with a unique subtitle, such as Rivals. Each season consists of a format and theme whereby the subtitle is derived. The show's most recent season, Double Agents, premiered on December 9, 2020. A new special limited-series, titled The Challenge: All Stars premiered on April 1, 2021 on the Paramount+ streaming service.
Do you have very hard problems about work? I referred to my algebra book and googled in vain. Not talking about the product of the force magnitude and the displacement magnitude. This is what I’m talking about – Jennifer takes 4 hours to do a job. John takes 6 hours to do the same job. Working...
There are 100 pebbles on the table. There are two players, A and B, who move alternatively. Player A moves first. The rules of the game are the same for both players: at each...
Homework Statement
I will just post an image of the problem
and here's the link if the above is too small: http://i.imgur.com/JB6FEog.png?1Homework EquationsThe Attempt at a Solution
I've been playing with it, but I can't figure out a good way to "grip" this problem.
I can see some things...
I have what I think is a valid solution, but I'm not sure, and when I try to check the answer approximately in Matlab, I don't get a verified value, and I'm not sure if my analytic solution or my approximation method in Matlab is at fault.
1. Homework Statement
Evaluate the integral...
Let $x, y$ be real numbers such that
$$(\sqrt{y^{2} - x\,\,}\, - x)(\sqrt{x^{2} + y\,\,}\, - y)=y.$$
Prove $x=-y$.
Any suggestion would be appreciated.
Let $a,\,b,\,x,\,y,\,z$ be real numbers such that $x^2y+y^2z+z^2x=a$ and $xy^2+yz^2+zx^2=b$.
Express $(x^3-y^3)(y^3-z^3)(z^3-x^3)$ in terms of $a$ and $b$.
Let $F$ be the set of infinite sequences $(a_1,a_2,a_3...)$, where $a_i \in \Bbb{R}$ that satisfy
$a_{i+3}=a_i+a_{i+1}+a_{i+2}$
This describes a finite-dimensional vector space. Determine a basis for $F$.
If both a transmitter and receiver antennae were submerged, and within a defined range and depth, what range might be available to a civilian operator?
Are two divers able to communicate by radio?
B
Here are some of my thoughts:
- thermal management of individual LEDs in a RBG system
- photon absorption in phosphor coating
- exponential decay in intensity
- CCT/ CRT?
For $0<x<\dfrac{\pi}{2}$, prove that $\dfrac{\pi^2-x^2}{\pi^2+x^2}>\left(\dfrac{\sin x}{x}\right)^2$.
I personally find this challenge very intriguing and I solved it, and feel good about it, hehehe...
Let $P$ be a function defined on $[0, 1]$ such that $P(0)=P(1)=1$ and $|P(a)-P(b)|<|a-b|$, for all $a\ne b$ in the interval $[0, 1]$.
Prove that $|P(a)-P(b)|<\dfrac{1}{2}$.
Given a cyclic quadrilateral $PQRS$ where $PQ=p,\,QR=q,\,RS=r$, $\angle PQR=120^{\circ}$ and $\angle PQS=30^{\circ}$.
Prove that $|\sqrt{r+p}-\sqrt{r+q}|=\sqrt{r-p-q}$
Homework Statement
Combustion of hydrocarbon X in excess oxygen produces 0.66g of carbon dioxide, and 0.27 g of water. At room tempertaure and pressure , X is a gas with density 1.75gdm^-3 . What could the molecular of X be?
What is the ans ? i only managed to get the empirical formula is CH2...
So here is my problem.
I am running a "Biggest Loser" weight loss contest at work. My biggest challenge in these contests is keeping the people that are falling behind motivated. To solve this, I would like to spread the winnings across all participants that lose weight not just the biggest...
The image shows a network of rooms. A ball starts in room P. If the ball moves from one room to another adjacent one every second (assume no time is spent between the rooms) and it randomly chooses a room to go to, find the probability that it reaches room Q after n seconds. A room is adjacent...
Suppose $f$ is a continuous function on $(-\infty,\infty)$. Calculating the following in terms of $f$.
$$\lim_{{x}\to{0}}f\left(\int_{0}^{\int_{0}^{x}f(y) \,dy} f(t)\,dt\right)$$
Homework Statement
http://postimg.org/image/t2uxlnsdh/
What is the IUPAC name of this compound?
2. The attempt at a solution
I have tried: 5-chloro-1,4-dimethyl-cyclohexene, 4-chloro-2,5-dimethyl-cyclohex-1-ene, and 5-chloro-1,4-dimethyl-cyclohex-1-ene
In a triangle $PQR$ right-angled at $R$, the median through $Q$ bisects the angle between $QP$ and the bisector of $\angle Q$.
Prove that $2.5<\dfrac{PQ}{QR}<3$.
You have a malfunctioning calculator that cannot perform multiplication. However, it can add, subtract, and compute the reciprocal $\frac{1}{x}$ of any number $x$. Can you nevertheless use this defective calculator to multiply numbers?
Suppose that $PQRS$ is a square with side $p$. Let $A$ and $B$ be points on side $QR$ and $RS$ respectively, such that $\angle APB=45^{\circ}$. Let $T$ and $U$ be the intersections of $AB$ with $PQ$ and $PS$ respectively. Prove that $PT+PU\ge 2\sqrt{2}p$.
Find $y(x)$ to satisfy y(x)=y'(x)+\int e^{2x}y(x) \, dx+\lim_{{x}\to{-\infty}}y(x) given \lim_{{x}\to{0}}y(x)=0 and \lim_{{x}\to{\ln\left({\pi/2}\right)}}y(x)=1.
Given that $f(x)=x^4+x^3+x^2+x+1$. Show that there exist polynomials $P(y)$ and $Q(y)$ of positive degrees, with integer coefficients, such that $f(5y^2)=P(y)\cdot Q(y)$ for all $y$.
Let $ax^2+bx+c$ be a quadratic polynomial with complex coefficients such that $a$ and $b$ are non-zero. Prove that the roots of this quadratic polynomial lie in the region
$|x|\le\left|\dfrac{b}{a}\right|+\left|\dfrac{c}{b}\right|$.
Let $a,\,b,\,c,\,d$ be real numbers such that $abcd=1$ and $a+b+c+d>\dfrac{a}{b}+\dfrac{b}{c}+\dfrac{c}{d}+\dfrac{d}{a}$.
Prove that $a+b+c+d<\dfrac{b}{a}+\dfrac{c}{b}+\dfrac{d}{c}+\dfrac{a}{d}$.
There is a 3-volume set of books
$\quad$on a bookshelf in the usual manner.
Each volume has two covers, each $\frac{1}{4}$ inch thick,
$\quad$and the printed portion is $1$ inch thick.
A bookworm starts at the first page of Volume 1
$\quad$and eats his way to the last page of Volume 3.
How...
Submitted by @PeroK
Consider all 7-digit numbers which are a permutation of the digits 1-7. How many of these are divisible by 7?
Can you prove the answer algebraically, rather than simply counting them?
Please make use of the spoiler tag
This challenge has been provided by @Joffan
A magic square has rows, columns and diagonals summing to the same number. For a 3x3 magic square there are 8 such sums.
Given a set of 9 distinct integers which has at least 8 subsets of 3 all with a common sum, is it always possible to make a magic...
Google has recently created a challenge to find new employees by having link appear in people's google searches saying "you know our language". This happens for people with large amounts of programming searches in their history.
Read all about it...
Homework Statement
Here it is:
Let Ω be a convex region in R2 and let L be a line segment of length ι that connects points on the boundary of Ω. As we move one end of L around the boundary, the other end will also move about this boundary, and the midpoint of L will trace out a curve within Ω...
With only only paper & pencil (no calculator or logarithmic tables), figure out which of the following expressions has a greater value: 101/10 or 31/3.
Please make use of the spoiler tag and write out your full explanation, not just the answer.
What is the smallest integer such that if you rotate the number to the left you get a number that is exactly one and a half times the original number?
(To rotate the number left, take the first digit off the front and append it to the end of the number. 2591 rotated to the left is 5912.)...
Let $(a_i)_{i\in \Bbb{N}}$ be a sequence of nonnegative integers such that $a_2 = 5$, $a_{2014} = 2015$, and $a_n=a_{a_{n-1}}$ for all other positive $n$. Find all possible values of $a_{2015}$.
There are six villages along the coast of the only perfectly round island in the known universe. The villages are evenly distributed along the coastline so that the distance between any two neighboring coastal villages is always the same. There is an absolutely straight path through the jungle...
Homework Statement
Parameters:
1. Design and build an egg capsule within a volume of 10cm x 10cm x 10cm.
2. There must be a lid opening to insert the egg.
3.The capsule must be drop ready within 60 seconds or less after obtaining the egg from your instructor.
4. Drop time is non-negotiable, be...