Mathematics, 27.06.2019 04:00 hero70

Get ready for the launch of america’s top equation! imagine that a tv network held a talent contest for . . equations. which type of equation would you want to win? pick the kind of function that you’d like to sponsor for the contest, and describe its traits in a way that shows why it should be america’s top equation. recall some of the types of equations: linear, exponential, and quadratic (you’ve seen these equations applied to increasingly advanced scenarios), plus polynomial, radical, and rational. you’ve seen these equations in systems and by themselves, and sometimes as the basis of an inequality or a system of inequalities. in your description, include key features (as represented in a graph, equation, or table) and prove your equation type’s worth for solving real-world problems. america’s top equation must prove useful and applicable to everyday situations!

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${e}^{i\pi} + 1 = 0$
Well, I suppose this is more of an identity than an equation but it is rather beautiful. It shows the connection between all the most fundamental numbers in maths and links the worlds of real and imaginary numbers.

Answer from: natu2072

Polynomials

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I suggest polynomials as the most talent equations. The reasons are:

Domain : all real numbersRange: all real numbersContinuous in all the rangeEasy to get their derivative and integralAll of their derivatives are continuous in the whole domainEasy to fit data with them, that made them useful to solve real-world problems, e.g. when scientist try to model real phenomenon with a polynomial to predict results of some eventWith Taylor series, they can be used to represent any other function, this characteristic made them very useful in computers and the way them make mathematics calculationsVery used in physics, for example in particle movement and other real-world application

The general equation of a polynomial in a single variable is:

$a_n x^n + a_{n-1} x^{n-1} + ... + a_2 x^2 + a_1 x + a_0$

Answer from: Quest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: