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Posts posted by sologuitar

  1. 4 hours ago, studiot said:

    So far as i can see all these check out.


    But you should not use use to check work you are going to submit for marks.


    Here is a simple check you can run for yourself.


    Say you are asked to simplify expression A / expression B  and end up with expression C / expression D

    You want to know if they are equal ie you have not made a mistake.



    The results should be identical if you are correct.

    a simple example should show what I mean


    To test if






    Ok. Copy. 

  2. College Algebra 

    Section R.2

    Simplify each expression.  Express the answer so that all exponents are positive. Whenever an exponent is zero or negative, we assume that the base is not zero.




  3. 7 hours ago, studiot said:

    Edit ignore this I now see you have a bunch of these

    What is wrong with having "a bunch of these"?

    2 hours ago, e jane aran said:

    1. "x = 0"

    Yes, this domain restriction is valid.

    2. "Setting x^2 + 1 to be 0 leads to a domain over the function not over the real number."

    I'm sorry, but I don't know what this means...?

    3. "Let D = domain of function; D = {x || x not equal to 0}"

    Yes, this is the correct domain.

    I simply mean that the domain for this function is a complex number or numbers when setting x^2 + 1 to zero and solving for x. Am I right? 

  4. 8 hours ago, exchemist said:

    I say: malevolent, mad ballocks.

    I say the truth shall set you free. 

    7 hours ago, Eise said:

    In the US there are many more Republicans dropping dead than Democrats. Just guess why... Two hints:

    • Which group was more vaccinated?
    • Which group did take social distancing and masks more serious?

    The risks of Covid vaccination are negligible compared to having Covid.

    From More Republicans Died Than Democrats after COVID-19 Vaccines Came Out

    Believe what you think is right for you. 

    5 hours ago, studiot said:

    Thanks for quote Eise. +1


    Perhaps we will see you in the next round but one.


    Your username is familiar to me. 

    4 hours ago, Sensei said:


    They usually shoot each other with guns, which Republicans promote to buy for everybody..

    "PUBLISHED DATE: December 02, 2022

    Total Number of GV Deaths - ALL Causes 40,739

    Homicide/Murder/Unintentional/DGU 18,563

    Suicide 22,176"



    People are dumber because they are stuck in their unhealthy social media interest bubbles. As we can see from your example - conspiracy theories.


    Then why aren't you using your own advice?


    Believe what you think is right for you. 

    2 hours ago, swansont said:

    Moderator Note

    You need to provide evidence that the premise is true - that the vaccines are dangerous - before you proceed to arguments based on it





    Moderator Note

    We are not discussing gun control in this thread


    I will post the evidence this weekend. 

    2 hours ago, Lorentz Jr said:

    It's the lattes. Robust young profession people are obviously succumbing to the poisons in caffeinated and dairy-enhanced beverages. Studies are required to isolate the interaction between coffee and cow products that is undeniably so toxic to human life.

    [/BS] 😏

    It's sad to know that so many intelligent people believe that Republicans are the main cause of evil. Both parties cannot be trusted. 

    2 hours ago, studiot said:

    I see no support for this outrageous diversion.


    Can we get back to Covid, which is a serious matter ?

    I learned today that the UK NHS has run out of Remdesivir, the only treatment drug if you have serious covid.

    What is more the medicines department at our district hospital cannot get more, even though they still have closed no-go areas dedicated to serious covid patients.


    The covid pandemic is far from over and there is still plenty of time to get properly vaccinated.

    At least that is still available.

    I am completely vaccinated but only because my job security was threatened. 

    2 hours ago, Lorentz Jr said:

    How about getting back to the danger of political propaganda, which is equally relevant to this thread and an equally serious matter?

    I concur. Politics is evil. 

    1 hour ago, MigL said:

    Ah, but he did provide evidence, Swansont ...

    His dumb, uninformed post is evidence that it is happening.

    You are seriously blind and your path leads to death and destruction. 

    Thank you all for your replies. I will reply to all when time allows. 

  5. 20 hours ago, Moontanman said:

    No, it would be supernatural and I hold no belief in anything supernatural and I have seen no evidence to even support the possibility of the supernatural. 


    My reason is that there is no empirical evidence of the Bible as anything but bronze age mythology. See #1

    There's nothing wrong with hoping for a resurrection from the dead. I cannot go through life looking for gloom and doom situations. The promises made by God in the Bible for the future will be accomplished just like so many others that have taken place throughout the course of man. 

  6. 3 hours ago, Eise said:

    No, I said:

    • a^3 = (a^4)/a

    There are several other ways to see it, but they all are variations of the same theme:

    • a^4 = a x a x a x a
    • a^3 = a^4/a = (a x a x a x a)/a = a x a x a
    • a^2 = a^3/a = (a x a x a)/a = a x a
    • a^1 = a^2/a = (a x a)/a = a
    • a^0 = a^1/a =  a/a = 1

    In short, the obvious rule is that with division of powers, you subtract the powers:

    (a^n)/a^m=a^(n - m).

    So when n = m:

    (a^n)/(a^n) = a^(n - n) = a^0. 

    But dividing two equal numbers always gives 1. (Except 0^0, which can not be defined.)


    Thank you. A much better reply. 

  7. It's funny how much people have forgotten that baseball is just a game and that players don't care about their fans. If suddenly you find yourself in a real tight situation in life, do you honestly believe that Aaron Judge will come to the rescue? I like baseball and respect talented people but that's about it. Aaron Judge was offered 300 million for 8 years and said no. He's going to be 31. Not enough cash, Aaron? So, leave the Yankees. I don't care. 

  8. I am not startled the China virus. This is nothing new to me. Bill Gates, who is very passionate about world depopulation, spoke clearly to a large audience in 2013 about the coming killer virus. He knew about COVID-19 then and the aftermath of vaccines and boosters. By the way, I am not a fan of Bill Gates, George Soros and other billionaires who are selfishly thinking about reducing population for their own sick and perverted pleasure.

  9. Jesus will not condemn anyone by looking at a list of bad things done here. We will be accepted or rejected entrance into heaven based on our decision to repent and follow Him. If we were judged by God based on the bad things we do and the bad thoughts that daily cross our minds, no one gets into the paradise of God. We can take that to the bank.

  10. Young, strong, energetic people dropping like flies. This is happening all over the world not just in the United States but people refuse to believe the fact that COVID-19 vaccines are dangerous. This has to be the most wet behind the ears generation of people in the history of mankind. The democrats are counting on us to get dumber and dumber by the minute. It's very easy to brainwash and control people who are not well-informed. You say? 

  11. 5 hours ago, swansont said:

    a^1 = a

    Ok. I get it now. 

    4 hours ago, Sensei said:

    a^1, a^2, a^3 are easy - anybody can do such calc even in memory.

    But mathematicians want to have universal functions, in this case pow(a,x).

    So, take piece of paper and make graph of f(x)=a^x, with a couple well-known x (a is constant and can be used any integer >= 2).

    Then use x=0.5, 0.25, 0.2, 0.125, 0.1, 0.01 etc. and you should see curve goes closer and closer to 1.

    Then draw line between them.

    With a=2, and default x in range -2 to +2, you will get such curve:


    If you want to change range, use f.e.


    (Wolfram Alpha, and Excel/Spreadsheet are must-have for mathematicians these days)

    (you can draw such graph in Excel/Spreadsheet too)


    Thanks but I am not trying to get technical here. I am simply reviewing material learned long ago. In fact, I think there are video clips on YouTube that explain this concept without using too much mathematical jargon. 

  12. 14 hours ago, Eise said:

    One simple way to see it:

    • a^3 = (a^4)/a
    • a^2 = (a^3)/a
    • a^1 = (a^2)/a = a
    • a^0 = (a^1)/a = a/a = 1

    Does that make sense?


    Let me see.

    You are saying that, for example, a^0 is the same as (a^1)/a = a/a = 1.

    How do you go from (a^1)/a to a/a?

    Here is my logic considering the fact that the numerator and denominator have the same base a. 

    I understand that any variable has a power of 1. Yes?

    For example: x = x^1, y = y^1, z = z^1, etc. Back to my example. 

    (a^1)/a = a^(1 - 1) = a^0 = 1. The jump from a^0 = 1 is not clear for me. 


  13. 14 hours ago, Eise said:

    See here:


    Sorry but I don't understand your descending powers in the denominator for each fraction.

    For example, you said (a^3) = (a^4)/(a•a^2). 

    Can you further explain your work here? 

  14. Let me begin by saying that I am doing a self-study of college algebra. I love mathematics. I regret not majoring in math back in my student days. With that said, I hope this forum will allow me to post questions that I get stuck with in my review of college algebra. 

    Let a = any integer.

    Why does a^(0) = 1? 

  15. In the Bible, we read about two future resurrections:

    A. Resurrection of the saved. This happens when the rapture of the church takes place. 

    B. Resurrection of the lost. This happens after the one thousand year reign of Christ on Earth.

    According to the Bible, Jesus resurrected several people from the dead. When Jesus died on the cross, we read in Matthew that many who were dead and buried came out of their tombs. Jesus Himself was resurrected after three days in the tomb. 

    However, no one in our lifetime has come back to life after burial not to mention cremation. I am not doubting the power of God to do anything He desires. Cemeteries around the world are a reminder to the living that we too shall be buried or cremated depending on personal choice. 

    Two Questions:

    1. Do you think there will ever be a resurrection of the dead? This, of course, is a supernatural event. 

    2. If you don't believe that such an event will ever take place, what is your reason for rejecting this Christian claim of the resurrection of the dead from graves around the globe?  

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