OldChemE

I agree with the issue of Oil Company responsibility where they have discouraged alternative fuel development-- But I still think NY and others are crazy to launch a lawsuit. They fail to recognize that a huge majority of vehicles currently in service need fossil fuels. For the oil companies to continue to supply that demand they will simply raise prices to cover what they lose in the lawsuit. They will be able to do this because, with our current transportation infrastructure, we cannot afford to regulate them out of business.

Answers (in question order) are b, a, True, False, False scores (in order ) were 2, 1, 0, 4, 3 Good puzzle-- easy if you set up the possible permutations on a spreadsheet-- but fun.

Conceptually it seems workable to me. The drawback is that, if I recall correctly, Ethanol provides about 60% as much energy per gallon as regular gasoline, so this solution would increase carbon dioxide buildup in the atmosphere for the same power delivered to the vehicles. Seems like this is going in the wrong direction. I'm not sure of the numbers here, but that's what I would look into.

missing number is 12 (the rule is that the absolute value of the difference between the first and second number, multiplied by the smaller of the two, equals the third), |15-6| x 6 = 54, |12-10| x 10 = 20, |8-12| x 8 = 32.

Find some decaf that you really like and switch to it, and keep the same hours you used to. I had to do that 30 years ago due to a caffeine allergy that developed in my early 40's. I had headaches for about two weeks, then was OK. Now-- a nice cup of hot coffee (decaf) seems to be just as good a wake-up as caffeine was before.

I don't like the choices. But.... if a choice had to be made I would go with #2. Choices 1 and 3 are very risky. What if the Alien idea of curing global warming turned earth into an ice-ball? And # 3???? Think of what curing all disease would do to average life expectancy and global overcrowding. Disease can be very bad-- but it is nevertheless an essential element of the balance of nature.

You don't have to get rid of the Electoral College to have popular vote decide the election. Every state has the right to divide its electoral votes any way they wish-- a couple (NH and maybe Maine-- I'm not certain) already divide their electoral votes based on their state's popular vote. The real issue, I believe, is that the Electoral College system gives States a small degree of leverage in national elections, which they would not have if the Electoral College was abolished. For example, with the Electoral College all the votes from New York and California went to Clinton, even though both states has significant votes for Trump. In this election, of course, Clinton would have won if the election was by popular vote, but that kind of situation doesn't happen very often. So, in order to switch to popular vote, the politicians in the big states would have to be willing to risk the loss of leverage. I doubt that's going to happen anytime soon.

Love has so many elements (chemical, emotional, etc) that I think it is indeed possible to love more than one person at a time. The tough part is to commit to one person.

I agree with Mathematic. But, if you don't use a matrix use substitution. Solve the top equation for x as a function of y (assuming the variables are labeled x, y and z), the bottom for z as a function of y, then put those two results in the center equation and you will have only one variable (y). The numbers look like they will be messy, but it would work.

If your calculator is giving you an error, check settings. Most good calculators can do angles in degrees or radians. If you have it in the wrong mode (radians when you want degrees, or vice versa) it will make results come out wrong.

Folks This has been a fun discussion. There are a number of threads in different forums (sp?) on the internet where this is debated. But, I think we've beat the subject to my satisfaction, I'll bow out here (not agreeing, but agreeing to disagree)

While it is a theoretical nit (perhaps), it should be noted that the infinite sum of 9/10 + 9/100 .... does not actually reach 1, it converges toward 1. 9/10 is 9 tenths of the distance on the number line from 0 to 1 9/100 is nine tents of the distance on the number line from 9/10 to 1 Every term in the infinite sum adds to the sum 9/10 of the remaining distance on the number line between its previous term and the total of 1. Because bo term ever adds more than 9/10 of the remaining distance on the number line, we never actually reach 1. This is the situation of the old puzzle about a person who in each unit of time walks exactly half the remaining distance to his/her destination. With each succeeding term we add to the infinite sum we travel 9 tenths of the remaining distance to 1. Again-- it is a Limit, not an equality.

Let us assume the hypothesis that 0.99.... = 1 Then, by the rules of mathematics, 1-0.99.... = 0, which is a definable number in mathematics. Or, to say it differently, a defined result proper to mathematics. if we subtract 0.9 from 1.0, the result is 0.1, which is 1/10, which is 1/(10)^1 if we subtract 0.99 from 1.00 the result is 0.01, which is 1/(10)^2 Generalizing, 1 - 0.99..... = 1/(10)^Infinity But the result of division by an infinite number is undefinable in mathematics. Therefore, 1 - 0.9999...... produces an undefined result This falsifies the assumption that there is a definable result of zero This falsifies the original hypothesis.

The point is that when you talk about an infinite string of numbers you get into the topic of limits. The Limit of 0.999... as the number of digits goes to infinity is indeed 1, but 0.999... itself is not 1. Limits and integers are not the same thing. Try subtracting 0.99999..... from 1.0000..... There will be an infinitely small non-zero result. That result approaches zero as the number of digits increases, but is never actually zero.

The fallacy in 10x-x = 9x is that truly infinite numbers do not behave properly in mathematics. In order to use mathematics for this you have to truncate the number someplace. When you do that, and multiply a finite version of 0.999... by 10, then try to subtract the original 0.999..., you have a result a tiny bit smaller than 9 because the first digit is 8 and the last is 1. for example: lets use 0.999999999999999. 10 x = 9.99999999999999 (14 digits to the right of the decimal). The original number, 0.999999999999999, has 15 digits to the right of the decimal. When you do the subtraction, the result is 8.999999999999991, which is not 9. In order to make the result be 9, you have to suppose that the "infinite" number you multiply by 10 has one more digit than the "infinite" number that you subtract from it. Two infinite numbers with a different number of digits is, of course, ridiculous, but mathematics will not work without that condition. You have to be very careful drawing conclusions in math using numbers that allegedly have an infinite number of digits. This is related to the prohibition against dividing by zero-- it's just another property of infinite numbers that math can't handle properly.

Well, yes---I should have said something like "very limited control over the environment"

In reading the OP carefully, I think it raises the important point that, while science has advanced dramatically, the human ability to accept it and not depend on other non-scientific things (such as religion) has not. I have thought on this subject a lot in the past. My conclusion is that a significant portion of humanity is uncomfortable with events beyond their control and feel a need for someone or something to be in control. This leads some to believe in religion because they would rather believe that events are part of 'God's Plan' rather than beyond control, others to believe in magic, conspiracies, "they are doing this" (whoever "they" are), etc. Unfortunately, I suspect this is inherent in the structure of the human brain and the way in which it evolved. We need to keep in mind that for probably 99% + of the timeline of humanity humans have not had science and have not had control over their environment.

depends on the tires, which you did not specify. The actual diameter of the tire on a 26" bike depends on the profile of the tire-- which can vary.

y'all ought to look up the "Bobo Experiment" done by a psychologist in the 1960's. The bottom line of the research was that when people are shown an individual being overly aggressive to another without bad results those same people may also tend to be overly aggressive themselves. in short, to some extent, aggression is a learned behavior. The thing that really bothers me about these mass shootings is that they seem so much like movies and video games put together by the "entertainment" industry. These events are about guns to be sure, but they are also about what we are teaching people to do. We've got to stop teaching people to kill!

That is a fun way to play chess. I don't play much chess anymore, but when I was in High School (1964) my friends and I played hexagonal chess on a board very similar to what you show. I don't remember all the rules, and don't know who invented it-- but it was fun and challenging.

You need to read what you respond to more carefully before you reply. My statement contains the phrase "any more" which makes your reply inconsistent with what I said. I was comparing men and women, not asserting that work experience is not of value.

I don't think work history necessarily correlates to being a good mother any more than it correlates to men being good fathers.

Ask yourself how the polar portions of the two molecules can interact with the components in an acidic solution

In order for some trait to prove an evolutionary advantage/disadvantage it must promote/inhibit successful reproduction. It seems to me that in order to assert that sodomy has some evolutionary effect (in the absence of statistics) you would need to establish that it affects successful reproduction, as opposed to being something humans/animals do aside from other 'normal' reproductive activities.

Ladies and gentlemen. What follows DOES NOT represent my views-- but I saw it on another forum and had just never seen anything like it before. Just thought some might be interested in reading it. Here it is: (Author NOT revealed) Do you believe in global warming? Climate change? I used to think it was a complete hoax. Lately I am becoming more convinced it is happening. I used to believe that Man was incapable of having any effect on the environment. I now believe that he or she can cause the weather to change for the better or worse. What does this have to do with deep theological discussion you ask? Let me explain. I still believe that global warming has nothing to do with the car or truck I drive, the amount of fossil fuel I use or the amount of water I put on my lawn. It doesn’t have anything to do with the way I heat of cool my house. It has everything with how we humans, God’s children, behave. How well we keep His commandments. How well we love one another. How well we treat each other. My study of scripture convinces me more each day that man’s behavior has great effect on his environment. If I follow Jesus’ example and live as He taught, am I going to avoid all the climate change going on around me? No, but if I follow God’s commandments and live as I should, any pain or suffering I am called on to endure will be a brief moment in eternity. If I live as Christ taught, it will affect others. If we all live as Christ taught, it will affect the environment.