We have been given a table that shows a linear relationship between x and y. We are asked to find the rate of change change of y with respect to x.
To solve our given problem, we will find the slope of the line passing through the given points.

Let us find slope of line using points
and
.




Therefore, the rate of change of y with respect to x is
.
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Using relations in a right triangle, it is found that:
- Since x and y are complementary angles, we have that sin(xº) = cos(yº).
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
The hypotenuse in this problem is given as follows:


h = 10.
The sine of x is:

The cosine of y is:

Since x and y are complementary angles, we have that sin(xº) = cos(yº).
More can be learned about relations in a right triangle at brainly.com/question/26396675
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Answer:
It seems there's more information in you question that you haven't posted.
7 months = 7 * (365/12) = 213 days
The half-life of chromium 51 is 27.7 days.
After 7 months, chromium 51 will have undergone 7.69 half-lives.
To solve for the ending amount we'll use the formula:
Ending Amount = Beginning Amount / 2^n where 'n' = # of half-lives
We'll say the beginning amount =1
Ending Amount = 1 / 2^7.69
Ending Amount = 0.0048426082
Basicaly if you started with 1 gram of chromium 51, after 7 months you would have 0.0048426082 grams.
Source: https://www.1728.org/halflife.htm
Step-by-step explanation: