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 human activities directly or indirectly affect the nature. The deforestation and the removal of the vegetation for the purpose of development or timber, the land is exposed to the dangers of the landslide. The tress, plants and other vegetation keeps the soil in place with the help of their roots. The soil erosion is prevented by the trees, but the cutting down of them by the humans increases erosion and hence, the risk of landslide.
Answer: Xylem fibers and xylem parenchyma are the elements of the xylem which is a vascular tissue in plants.
Explanation:
Xylem fibers are dead cells whereas the xylem parenchyma are living cells.
Xylem fibers are responsible for providing structural support to the entire structure of xylem whereas the xylem parenchyma is involved in conducting of water and minerals.
In xylem fibers the lignin is present whereas it is absent in xylem parenchyma.
In a forest, there would probably be a deer, and a deer tick. The tick will latch onto the deer's skin, bury its head in the flesh and suck its blood. This would be an example of parasitism because one is benefiting (the tick) and the other is harmed (the deer).
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Yes because we use the sun light as a way to grow crops for one so no one would be getting any food and plant life would never grow and would die so we wouldn't be getting Air as well because trees and plants make oxygen for us
