Hello!
Given the rule of V(x, y) = (x, y - 1), we can determine that it might be a horizontal or vertical shift.
Since we know that x-values are domain and y-values are range, we know that the range of the function is decreasing by 1 (y - 1), so, the entire function is shifting down one unit.
Therefore, the type of transformation given by the rule is a vertical shift/translation downwards by one unit.
20000=1650e^(.5t)
12.121212=e^(.5t)
Ln(12.121212) = ln(e^(.5t))
2.49495 = .5t
4.98 = t
Rounding it will take approximately 5 years for the pop. to reach 20,000
The amount of variance for y that is predicted by its relationship with x is 64%.
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How much variance is predicted?</h3>
Variance measures the rate of dispersion of a data point around the dataset. It can be calculated by finding the square of the standard deviation of a dataset. Variance measures the variation of a data set.
Correlation is a statistical measure used to measure the linear relationship that exists between two variables. The greater the correlation coefficient is closer to one, the greater the linear relationship that exists between the two variables. A positive correlation occurs when the two variables move in the same direction.
Variance = (correlation coefficient²) x 100
(0.80²) x 100
0.64 x 100 = 64%
To learn more about correlation, please check: brainly.com/question/27246345
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Answer:

Step-by-step explanation:
The potential in a region between x = 0 and x = 6.00 m is V = a + bx.
Put a = 15.4 V and b = -5.10 V/m.
So, 
To find: Potential at x =0, 3, 6
Solution:
Potential at x = 0:

Potential at x = 3:

Potential at x = 6:

Therefore,
