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Type: Posts; User: Dr.Peterson

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  1. I wasn't saying that the solution isn't explained...

    I wasn't saying that the solution isn't explained mathematically, but that you didn't directly tell us what you were assigned to do. As a result, we don't know what your teacher would consider to be...
  2. Mariele, you haven't answered my questions along...

    Mariele, you haven't answered my questions along with fixing the pictures. Doing so might help us tell you what, if anything, is "wrong". We can't tell yet what standards to judge your work by.

    If...
  3. The picture has too little resolution; but what I...

    The picture has too little resolution; but what I can make out from it looks as if you probably have a valid idea. Can you either post a better picture (a screen shot might be all you need), or tell...
  4. We did prove that! Did you miss the "if ... then"...

    We did prove that! Did you miss the "if ... then" in my answer?

    The work we do in solving shows that IF (S,U) is a solution, THEN it must be (25, 65). Do you see this?

    Consequently (this is...
  5. Using those numbers, I was able to find the book...

    Using those numbers, I was able to find the book online, and I see why you mentioned finding the solution without using Mathematica: that's how they say they found it! And they emphasized that the...
  6. Here...

    Here is a discussion of this sort of problem, going into some depth for both a small problem like yours, and a large one (which would easily take the place of a final exam).
  7. Just for the sake of giving you some feedback you...

    Just for the sake of giving you some feedback you can't get when you teach yourself, we would say you "raised e to the 0 power", or something like that, not "rose up"; and you didn't make e = 1 (it's...
  8. The work I did showed that IF a given pair (S, U)...

    The work I did showed that IF a given pair (S, U) is a solution of the system, THEN it must be (25, 65). If you don't see that, then you didn't really understand what I said.

    This means that there...
  9. As I read this, the original problem (which you...

    As I read this, the original problem (which you really should have stated for us, to give us context) probably involved an equation something like A = k_1e^{k_2t} + k_3, and you were given pairs (t,...
  10. I would try factoring the right sides (since they...

    I would try factoring the right sides (since they are large), and look for a direct connection with one of the numbers on the left. You should see something nice.
  11. Good question. A key would have been a good idea,...

    Good question. A key would have been a good idea, but perhaps the context implies it.

    My default interpretation would be that the numbers are intended to be whole numbers, so the leaves would be...
  12. I hadn't heard of the site, perhaps for good...

    I hadn't heard of the site, perhaps for good reasons.

    Note that if you think a quadratic trinomial might not be factorable, you can check by calculating the discriminant. If it is a perfect...
  13. Have you looked up information, in your textbook...

    Have you looked up information, in your textbook or elsewhere, so that you can try it yourself? Here is one explanation of how to read one. If you just search for the name you will find many sites...
  14. The range of a data set is the difference between...

    The range of a data set is the difference between the lowest and highest values (that is, how far it spreads).

    The stem-and-leaf plot was created from a number of values. What is the lowest of...
  15. So, you've got the spreadsheet formula worked...

    So, you've got the spreadsheet formula worked out, and you've expressed it in words; are you saying that for some reason you need it expressed so that a mathematician will understand it? Why?
    ...
  16. Actually it is factorable. What convinced you...

    Actually it is factorable. What convinced you that it is not?

    But why does it have to be factorable? You can always solve the equation by the quadratic formula (unless you haven't learned it yet);...
  17. I made a little correction here so that we can...

    I made a little correction here so that we can see that your work isn't wrong. Of course, you have to finish and check:


    S+65=90
    S = 25


    Check:
  18. I assume you are using "**" to mean an exponent,...

    I assume you are using "**" to mean an exponent, so the problem is this:


    The maximum gas velocity V (in m/s) in a pipe is given by V =175 \left(\dfrac{1}{\rho}\right)^{0.43} where the units of...
  19. This is the best way to see it, I think (though...

    This is the best way to see it, I think (though I'm not sure what you mean by "meet"); the fact that a solution is a family of functions, not just one function, is the essence of what Khan said. The...
  20. It is not just the options that are incorrect --...

    It is not just the options that are incorrect -- the figure itself is wrong!

    If CD = 15, then BD = 7.5 by the same sort of reasoning you (correctly) used. But they say it is 5.

    So there must be...
  21. It may be helpful if you can give a specific...

    It may be helpful if you can give a specific example of the sort of formula you are asking about, and the units you want to change it to, so we can be sure we are answering the right question.
    ...
  22. I'm not sure whether the actual fourth-degree...

    I'm not sure whether the actual fourth-degree equation will be better to use than some preliminary form. For example, it is possible that if you just write an expression that should give a value...
  23. In this problem, they have both marked and stated...

    In this problem, they have both marked and stated the congruences (of angles, though not of sides). I don't see how you can say nothing is marked; but in general you should primarily go by what is...
  24. There are different ways to indicate that sides...

    There are different ways to indicate that sides are congruent. In this case, nothing is marked; all the information apart from how parts are connected is stated in words or symbols. What does it say...
  25. "Solvable" can mean different things! Your...

    "Solvable" can mean different things!

    Your equation will turn into a fourth-degree equation. I took a non-trigonometric approach, and ended up with a fourth-degree equation in B. It may work out...
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