A nutritionist is performing an experiment on student volunteers. Shewants to feed one of the volunteers a daily diet that consists of acombination of three commercial diet foods: MiniCal, LiquiFast,SlimQuick. For the experiment, it is important that the volunteer consumea total of exactly 500 of potassium, 75g of protein, and 1150 IU ofvitamin D every day. The amounts of these nutrients in one ounce of eacldiet food are given in the table. How many ounces of each food shouldthe volunteer eat every day to satisfy the nutrient requirements exactly?MiniCal (1 ounce) LiquiFast (1 ounce)SlimQuick (1 ounce)Potassium (mg)507510Protein (g)103vitamin D (IU)9010050Solve the system algebraically or use the rref in your graphing calculator to find theamount of ounces of each food needed to satisfy the nutrient requirements.

We will solve the problem algebraically using a system of linear equations. Let x, y and z be the…

Answered: A nutritionist is performing an…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Rivers in North Carolina contain small concentrations of mercury that can accumulate in fish over their lifetimes. The concentration of mercury in fish tissue can be obtained by catching fish and sending samples to a lab for analysis. A study was conducted on fish from the Waccamaw and Lumber Rivers to investigate mercury levels in tissues of largemouth bass. At several stations along each river a group of fish were caught, weighed and measured; in addition a filet from each fish was sent to a lab so that the tissue concentration of mercury could be determined. In all, 171 fish were caught at 15 different research stations along the Waccamaw and Lumber Rivers. Data from fish caught at one of these stations is shown in the followinng table: length weight 1616 47.0 48.7 1862 2855 55.7 45.2 1199 1320 44.7 1225 43.8 870 38.5 1455 45.8 1220 44.0 1033 40.4 Compute the correlation between length and weight for these fish. (Assume the correlation conditions have been satisfied and round your…
While trying to create the perfect breakfast for your children, you have determined that EXACTLY 22 grams of protein, 38 grams of carbohydrates, and 8.5 grams of fat send your kids to school in the best possible mood. Serving the following three items, how much of each should you serve to achieve your nutritional goals? Honey Nut Cheerios© nutritional data (per 0.75 cup serving) Calories 105 Sugar 9 grams Fat 1.5 grams Carbohydrates 22 grams Protein 2 grams Quaker Oatmeal© nutritional data (per 1 packet serving) Calories 170 Sugar 12 grams Fat 2 grams Carbohydrates 32 grams Protein 4 grams The last piece of their meal is uncured turkey bacon nutritional data (per 1 slice). Calories 40 Sugar 0 grams Fat 2 grams Carbohydrates 0 grams Protein 6 grams You have determined you should serve servings of cereal, servings of oatmeal, and servings of turkey bacon in order to serve your kids the food they like and meet your nutritional goals.
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A freshly brewed shot of espresso has three distinct components: the heart, body, and crema. The separation of these three components typically lasts only 10 to 20 seconds. To use the espresso shot in making a latte, a cappuccino, or another drink, the shot must be poured into the beverage during the separation of the heart, body, and crema. If the shot is used after the separation occurs, the drink becomes excessively bitter and acidic, ruining the final drink. Thus, a longer separation time allows the drink-maker more time to pour the shot and ensure that the beverage will meet expectations. An employee at a coffee shop hypothesized that the harder the espresso grounds were tamped down into the portafilter before brewing, the longer the separation time would be. An experiment using 24 observations was conducted to test this relationship. The independent variable Tamp measures the distance, in inches, between the espresso grounds and the top of the portafilter (i.e., the harder the…
_) Jane bakes sourdough loaves, which are full of gluten. Unfortunately, John is allergic to gluten and wants to bake gluten-free loaves. John does not have their own “starter” (a mix of yeast, flour, and water that makes a loaf rise in the oven). Jane's starter is 50g of water and 50g of flour with gluten, and a microscopic amount of yeast that we will ignore. Jane gives John 50g of her starter. For John's first loaf, they replace the missing half of their starter with 25 g of gluten-free flour and 25g of water. This means their starter is now 25g of gluten-free flour, 25g of flour with gluten, and 50g of water. Once the yeast in this starter is fully activated, John is ready to make their first loaf. To bake the loaf they mix 50 g (half) of the starter with 225g of gluten-free flour and 225g of water, meaning the loaf is always
A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 60 cells.
Cholesterol Testing. A large health care organization uses three laboratories for the routine analysis of blood samples. It is important that the three labs provide equivalent test results. To check that, blood samples are obtained from 10 randomly selected individuals; each blood sample is then divided into three blood subsamples of equal volume; and then the three blood subsamples from each person are sent to different labs. For this problem, the analysis is confined to assessing the measurement of the total cholesterol level for a person. The data are in the following table.
A researcher is interested in the effects of diazepam on anxiety in rats. She takes a group of 15 female rats and injects them with 0.005 mg of diazepam for every 100 g the rats weigh, and takes a different group of female rats and injects them with saline. She then puts them all on an elevated-plus maze for 15 minutes and observes how long they spend (in seconds) in the enclosed arms versus the open arms. The less time they spend in the enclosed arms means they have less anxiety. She also weighs them before the injection to make sure she gets the dosage correct. a. Identify the population of interest b. Identify the Independent variable. c. Identify the Dependent variable. d. What scale of measurement was used for the independent variable? Explain why you think so. e. Was the independent variable discrete or continuous? Explain why you think so. f. What scale of measurement was used for the dependent variable? Explain why you think so. g. How could you change the dependent measurement…
In a group of 80 bracu-cse students, in this semester, 50% of them took CSE230, 70% of them took CSE111. If each people took at least one course, how many of them took ONLY CSE230?
The military requires to send five autonomous tanks to a remote location for a mission. While working on the requirements of the mission it has been found that for successful completion of the mission, it is necessary that at least three tanks must survive. The reliability of an individualtank is 75% for the mission and it is same for all the tanks. Determine the overall reliability of the system for successful completion of the mission
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