The next set is the parametric equations of the same line .
x = t, y = 5 and z = -t .
What is the meaning of parametric and non parametric?
- The assumptions behind parametric statistics relate to the population's distribution from which the sample was drawn.
- Since no presumptions are made while using nonparametric statistics, data can be gathered from samples that do not fit any particular distribution.
x + y + z = 5, x + z = 0
the line satisfies
x + z = 0 , y = 5
thus
x = t, y = 5 and z = -t .
the first one is technically already the symmetric equations of the line.
thus:
x = -z ; y = 5
the next set is the parametric equations of the same line .
x = t, y = 5 and z = -t .
Learn more about parametric equations
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Your salary in x years is modeled an the exponential growth
The equation that determines your salary in x years is y = 45000(1.05)^x
<h3>How to model the salary growth?</h3>
The model of the exponential growth is given as:
y = a(1 + r)^x
From the question, we have:
Initial salary, a = 45000
Raise, r = 5%
So, the equation becomes
y = 45000(1 + 5%)^x
Evaluate the sum
y = 45000(1.05)^x
Hence, the equation that determines your salary in x years is y = 45000(1.05)^x
Read more about exponential functions at:
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Answer:
1) is 3.32
Step-by-step explanation:
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Answer:
Step-by-step explanation:
<u>Area formula:</u>
<u>The height is:</u>
- h = (x + 2)sin 45° = √2(x + 2)/2
<u>Substitute the area value an set an equation:</u>
- 4√2 = (2x - 3)√2(x + 2)/2
- (2x - 3)(x + 2) = 8
- 2x² + x - 6 = 8
- 2x² + x - 14 = 0
- D = 1 + 4*2*14 = 113
- x = (-1 + √113)/4 = 2.41 (rounded)
Note. the second root ignored as negative
Answer:
The unknown side is 15 in.
Step-by-step explanation:
