Physics, 16.12.2021 05:30 psa180

A machine has an efficiency of 20 percent. find the input work if the output is 140 J

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Answer from: Quest

we have been given a quadratic function $f(x)=(x-5)^{2} +2$ and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is $[2,\infty)$ .

if we restrict the domain of this function to either $(-\infty,5]$ or $[5,\infty)$ , it will become one to one function.

let us know find its inverse.

$y=(x-5)^{2}+2$

upon interchanging x and y, we get:

$x=(y-5)^{2}+2$

let us now solve this function for y.

$(y-5)^{2}=x-2\\ y-5=\pm \sqrt{x-2}\\ y=5\pm \sqrt{x-2}\\$

hence, the inverse function would be $f^{-1}(x)=5+\sqrt{x-2}$ if we restrict the domain of original function to $[5,\infty)$ and the inverse function would be $f^{-1}(x)=5-\sqrt{x-2}$ if we restrict the domain to $(-\infty,5]$ .

Answer from: Quest

The answer should be a.

Answer from: Quest

All these statements are related to drake's equation. it is a probabilistic equation that shows an aproximate number of civilizations in our galaxy that we can communicate with. all the numbers that are inserted into equation are not precisely known so the result varies from 1000 to 100,000,000. the equations was not created to calculate exact number of extraterrestrial civilizations but to increase scientific knowledge how to find them.the equation is: $n= r_{*} *f_{p}*n_{e}*f_{l}*f_{i}*f_{c}*l$ where: n= represents the number of civilizations in our galaxy that we could in principle communicate with today. $r_{*} =$ the average rate of star formation in our galaxy $f_{p} =$ the fraction of those stars that have planets $n_{e} =$ represents the number of planets in the galaxy that are in principle capable of having surface liquid water and life. $f_{l} =$ essentially represents the probability that life eventually arises on a habitable planet. represents the number of life-bearing planets in the galaxy. $f_{i} =$ epresents the total number of planets on which intelligent beings have evolved and developed a communicating civilization at some time in the galaxy's history. $f_{c} =$ essentially represents the probability that on a planet with life, some organisms will eventually evolve to the point where they can build radio telescopes. $l =$ is a factor that depends on how long civilizations that reach our level of technology are able to survive.

Answer from: Quest

This isnt physics this is biology

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A machine has an efficiency of 20 percent. find the input work if the output is 140 J...