Please show in step by step the math for this person if he had coffee at 11 am, how much caffeine will still lift in his body at 9 pm. My favorite caffeinated beverage is a nitro cold brew from Starbucks. I get the Grande size which is 16 ounces and there is 280 mg of caffeine. I want to know the caffeine remaining after t = 2 hours. C = 230 mg. I: = 5.7 and t = 2 hours. A = C(0.5}I\"tfk A = 230(U.5l\"2f5.7 A = 280(0.5}\"0.3508 A = 280(0.7B41} A = 219.548 I will round this up to the hundredths place to get the amount of caffeine after two hours is 219.55 mg. Requirement for post 2 Why Can't I Sleep? The half-life of caffeine is about 5.7 hours. This means that half of the caffeine Example intake will still be in your system after 5.7 hours. The general formula (using ational exponents) is: A = C(0.5) where: Hi Classmate. I will consider how much caffeine will be in your system at 9pm when: t- the hours since drinking the caffeine a) If you drank caffeine at noon, 12pm. There is then 9 hours until bedtime (9pm). k = the half-life of caffeine (about 5.7 hours") C = 29mg, k = 5.7 and t = 9 hours C = the milligrams, mg, of caffeine ingested A = C(0.5) A = the milligrams, mg, of caffeine left in your body after t hours "Statland, D. E., & Demas, T. J. (1980, March). Serum caffeine half-lives. Healthy A = 29(0.5) 3.7 subjects vs. patients having alcoholic hepatic disease. American Journal of Clinical A = 29(0.5) 1.5789 Pathology. 73(3), 390-393. https:/doi.org/10.1093 /ajcp/73.3.390.PMID:7361718 A = 29(0.3347) 4 =9.7063 Post 1: Initial Thread Find the amount of caffeine in your favorite caffeinated beverage by checking the nutrition label or doing research on the internet. Be sure to find the amount of There would be less than 10 mg (9.71 mg) left in your body at bedtime. caffeine in the entire container, not just in one serving. This will be Cin the b) you drank their caffeine at 6pm. There is then only 3 hours until bedtime (9pm). equation. Assume you drink the entire container in one sitting. C = 29mg, k = 5.7 and t = 3 hours Share the name of your favorite caffeinated beverage and the amount of caffeine in that beverage. A = C(0.5)* Calculate the amount of caffeine (mg) remaining in your body t = 2 hours after you drank the beverage. Show all steps in your calculations and round A = 29(0.5) 3.7 your answer to the hundredths place. A = 29(0.5)03263 View example. A = 29(0.6943) A =20.1347 Post 2: Reply to a Classmate Choose one classmate's response and reply to their post. Consider different times There would be a little more than 20 mg (20.13mg) left in your body at bedtime. of the day when they might drink caffeine. Do you think the caffeine will keep them awake? Calculate the amount of caffeine remaining in their body at 9 p.m. if they drank their caffeine at different times during the day. 1. Pick a time between 11 a.m. and 2 p.m. Determine how many hours until 9 p.m. This is your value for t. How much caffeine (mg) remains in their body? 2. Pick a time between 3 p.m. and 6 p.m. Determine how many hours until 9 p.m. This is your value for t How much caffeine (mg) remains in their body? 3. Share some advice with your classmate on when they should drink their caffeinated beverage in order to get quality sleep - be sure to reference your calculations from parts a and b. Show all steps in each calculation and round your answer to the hundredths place