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ser-zykov [4K]
2 years ago
10

What does y=kx mean? How do you solve for k? Please simplify the meaning or narrow it down.

Mathematics
1 answer:
nadezda [96]2 years ago
3 0

Answer:

The equation for direct variation is y=kx. Direct variation is when 2 variables both change in the same direction. This means that if one variable increases, then the other does as well and vice versa. In this equation, k is the constant of variation. The constant of variation represents the relationship between the 2 variables. Additionally, the k value does not change.

To solve for k, divide both sides by x. This creates the new equation y/x=k. Using this equation, you can take 2 variables, divide them, and find the constant of variation.

For example, take the values x={1,2,3,4} and y={2,4,6,8}. Using the equation y/x=k, we can find the constant of variation. When plugging the first values of each set into the equation you get 2/1. This equals 2, proving that k=2. Even if you use the other values, like 8/4, k still equals 2.

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Step-by-step explanation:

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Answer:

The total number of ways of assignment is 314,790,828,599,338,321,972,833,000.

Step-by-step explanation:

In mathematics, the procedure to select <em>k</em> items from <em>n</em> distinct items, without replacement, is known as combinations.

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It is provided that new drugs are to be tested using a group of 60 laboratory mice, each tagged with a number for identification purposes.

Drug A is to be given to 22 mice.

Compute the number of ways to assign drug A to 22 mice as follows:

{60\choose 22}=\frac{60!}{22!(60-22)!}\\\\=\frac{60!}{22!\times 38!}\\\\=14154280149473100

Now the remaining number if mice are: 60 - 22 = 38.

Compute the number of ways to assign drug B to 22 mice as follows:

{38\choose 22}=\frac{38!}{38!(38-22)!}\\\\=\frac{38!}{22!\times 16!}\\\\=22239974430

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Compute the number of ways to assign no drug to 16 mice as follows:

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The total number of ways of assignment is:

N = {60\choose 22}\times {38\choose 22}\times {16\choose 16}\\\\=14154280149473100\times 22239974430\times 1\\\\=314,790,828,599,338,321,972,833,000

Thus, the total number of ways of assignment is 314,790,828,599,338,321,972,833,000.

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