![]() ![]() ![]() Obviously the first chunk of that is going to have a lot more caffeine, but you hit the single drinks initial 5.375 mg/L level at 4.08 hours and then the next 5 hours is an identical decay path from there. So if I'm understanding this right, two 5 hour energy drinks would mean you'd only get 9.08 hours of energy. Setting that as C1 for the equation, to solve for t under the new circumstances, would give us:Īnd t for the single start point equivalent = ln(5.375/10.75)/-0.17 = 4.08 hours Since the promise is 5 hour energy, wouldn't it make more sense to calculate the C1 at t=5h for the original, then solve for t to hit that concentration for the second?Ĭ1 = (5.375)e -0.17x5 = 2.297 mg/L when you're not longer guaranteed energy. I'm gonna start this comment with the context that I don't understand the mechanics behind this at all, just the math. ![]() To get 10 hours of caffeine effect (lets say 70 mg worth still in the system) you need to ingest: C1=C0e^-(ke)(t)ĩ.58 mg/L x 40L = 383 mg of caffeine bolusġ64 mg of caffeine gets us 5 hours till 70 mg in systemĢ83 mg of caffeine gets us 10 hours till 70 mg in system T=54 hours to reach 0.001 mg/L of caffeine remaining in body Replacing 215 mg with 430 mg of caffeine gets us. A volume of distribution of about 4L? is blood only) Drugs don't always correlate with blood content. Volume of distribution of caffeine = 35-40 L (this is how much the drug is spread out through our body. Non-linear pharmacokinetic calculations for caffeine clearance: Don't use this unless you really have to. Non-math posts regarding the subreddit itself. Use when linking to any site, including Imgur, that is not. "Reddit Did The Math", linking to a comment or post on Reddit where someone else does the math! You did the math and want to share it! Asking the /r/theydidthemath community to do the math for you! Please keep them at the start of your post. Here are the tags we accept and what they are for. If the above equation looks like garbled code, or for information on how to display subscripts and superscripts, check our wiki page. Superscripts and subscripts are supported in this subreddit, and LaTeX is used here as well. Be sure to include the reason for your report! ![]() Report any spam/rule breaking posts to the mods with the report button. When answering posts, please cite reputable sources to defend any evidence that cannot be proven using your own math. Jokes or off-topic top-level comments will be removed. Also, don't be a dick.ĭo not submit top-level comments in posts that are not an attempt at an answer or a request for clarification. Reddit's site-wide rules still apply here. Repeat or egregious offenders will be banned permanently. Rule breaking posts/comments will have a temporary ban that will serve as a first offense "warning". There is no warning for hate speech of any kind. This subreddit has a zero-tolerance policy for hateful or unnecessary language. Try /r/homeworkhelp or /r/cheatatmathhomework instead. Posts which seem to be asking for help on homework will be removed. For more abstract math, try /r/math or /r/learnmath. Posts containing "simple math" will be removed, as well as requests whose answers are easily searchable online, and any other post at the moderators' discretion. How many feet are in a mile?) use Wolfram|Alpha™. " /u/FragTheWhale calculates.".įor easy and quick math results (ex. Give credit where credit is due-include the user who made the calculations in any post you submit: ex. posts must have a calculable answer otherwise, they will be removed. State clearly what is being or what you want calculated in the title. Proper title tags are required for all posts or it will be removed! The tags accepted are at the end of the sidebar down there. ![]()
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