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3 years ago

I need help with offspring science

1 answer:

4 0

The alleles of offspring vary, some are dominant and some are recessive, meaning that some traits get passed down and some don't, for example,: a dominant trait might be blue eyes, a parent would have blue eyes, and pass that dominant trait to their child so that the child would also have blue eyes, recessive traits are traits that skip a generation.
For example a grandparent might have black hair, but their child won't have black hair, however, their grandchild will have black hair, therefore the black hair trait is recessive and skipped a generation
Hope this helps

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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 $x_{1}$ + 130 $x_{2}$ = 295

4 $x_{1}$ + 3 $x_{2}$ = 9

20 $x_{1}$ + 18 $x_{2}$ = 48

2 $x_{1}$ + 5 $x_{2}$ = 8

Representation of data in vector equation,

$x_{1}$ $\left[\begin{array}{ccc}110\\4\\20\\2\end{array}\right]$ + $x_{2}$ $\left[\begin{array}{ccc}130\\3\\18\\5\end{array}\right]$ = $\left[\begin{array}{ccc}295\\9\\48\\8\end{array}\right]$

Equivalent matrix equation of data

$\left[\begin{array}{ccc}110&130&295\\4&3&9\\20&18&48\\2&5&8\end{array}\right]$

Row reduce the matrix

$\left[\begin{array}{ccc}110&130&295\\4&3&9\\20&18&48\\2&5&8\end{array}\right]$ ≅ $\left[\begin{array}{ccc}1&0&1.5\\0&1&1\\0&0&0\\0&0&0\end{array}\right]$

1.5 serving of cherrios with 1 serving of natural cereal requried to make desired mixture.

$x_{1}$ = 1.5 , $x_{2}$ = 1

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b) $x_{1}$ = 1.5 , $x_{2}$ = 1

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