Complete Question:
The container of a breakfast cereal usually lists the number of calories and the amounts of protein, carbohydrate, and fat contained in one serving of the cereal. The amounts for two common cereals are given below. Suppose a mixture of these two cereals is to be prepared that contains exactly 295 calories, 9 g of protein, 48 g of carbohydrate, and 8 g of fat. a. Set up a vector equation for this problem. Include a statement of what the variables in your equation represent. b. Write an equivalent matrix equation, and then determine if the desired mixture of the two cereals can be prepared.
Nutrient General mills cheerios Quaker 100% Natural cereal
Calories 110 130
Protein (g) 4 3
Carbohydrate (g) 20 18
Fat (g) 2 5
Solution:
Representation of data in equation.
x1 is the number of servings of Cheerios and
x2 is the number of servings of Natural Cereal
110
+ 130
= 295
4 + 3 = 9
20 + 18 = 48
2 + 5 = 8
Representation of data in vector equation,
![\left[\begin{array}{ccc}110\\4\\20\\2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D110%5C%5C4%5C%5C20%5C%5C2%5Cend%7Barray%7D%5Cright%5D)
+ ![\left[\begin{array}{ccc}130\\3\\18\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D130%5C%5C3%5C%5C18%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}295\\9\\48\\8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D295%5C%5C9%5C%5C48%5C%5C8%5Cend%7Barray%7D%5Cright%5D)
Equivalent matrix equation of data
![\left[\begin{array}{ccc}110&130&295\\4&3&9\\20&18&48\\2&5&8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D110%26130%26295%5C%5C4%263%269%5C%5C20%2618%2648%5C%5C2%265%268%5Cend%7Barray%7D%5Cright%5D)
Row reduce the matrix
≅ ![\left[\begin{array}{ccc}1&0&1.5\\0&1&1\\0&0&0\\0&0&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%261.5%5C%5C0%261%261%5C%5C0%260%260%5C%5C0%260%260%5Cend%7Barray%7D%5Cright%5D)
1.5 serving of cherrios with 1 serving of natural cereal requried to make desired mixture.
= 1.5 , = 1
a) + =
b) = 1.5 , = 1
The clearest demonstration of the flooding of Jesse's potassium ions (K+) into the axons would be that Jesse stops running for a moment.
<h3>What is membrane potential?</h3>
The expression membrane potential refers to differences in the electrical charges in and out of the nerve cell (in this case, the neuron) in order to transmit information through prolongations called axons.
This difference is due to the presence of specialized ion channels in the membrane that allows the selective passage of ions to the interior of the cell or out it, thereby the movement of the potassium ions through axons is fundamental during the membrane potential.
In this case, stopping running would be caused by the K+ ions that flood the interior of the nerve cells, becoming them positive and leading to membrane depolarization.
In conclusion, the clearest demonstration of the flooding of Jesse's potassium ions (K+) into the axons would be that Jesse stops running for a moment.
Complete Question:
What would be the clearest demonstration of the flooding of Jesse's potassium ions (k ) into the axons?
A) Jesse is sleeping. B) Jesse is stretching before a run. C) Jesse is running as fast as he can. D) Jesse stops running for a moment.
Learn more about membrane depolarization here:
brainly.com/question/26502153
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Answer:
45x7892
Explanation:
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Answer:
middle= This is the part through which sound travel inside the ear to the eardrum through the auditory canal . sound causes the eardrum nad it's tiny attached bones in the middle portion of the vibration and conducted to the nearby cochlea
inner part= the cochlea is the part of the inner ear . its main function is to transform sound into nerve impulses......
Answer:
what are the answers? or is there?
