Answer:
-515
Step-by-step explanation:
The first term is -15, with every subsequent term being 20 units lower.
Upon substituting these values into the earlier equation, we find:
By adding together 25 instances of 20, or 25 x 20 = 500, we calculate -15 - 500 = -515.
Answer:
Choice B
Step-by-step explanation:
The information given falls under the nominal scale of measurement since classifications can be made into distinct groups. For instance, students might be sorted into categories based on their eye colors. Even numerical codes can be used within the nominal scale for grouping; for example, assigning numbers 1, 2, and 3 for students with brown, black, and green eyes, respectively. However, these numbers do not hold any numerical weight. Therefore, data from a nominal scale may be numeric or non-numeric.
Answer:
What is the variation for each successive input?
✔ 1
What is the variation for each successive output?
✔ 0.35
What is the rate of variation for the correlation?
✔ 0.35
Step-by-step explanation:
The change per input is 1 since the inputs are 10,11,12,13.
The change for each successive output is 0.35 because we must subtract 4.1 from 3.75.
Thus, the rate of variation for the correlation is likewise 0.35.
Detailed derivation:
dA/dt = 6 - 0.02A
dA/dt = -0.02 (A - 300)
Rearranging terms.
dA / (A - 300) = -0.02 dt
Integrate both sides.
ln(A - 300) = -0.02t + C
Isolate A.
A - 300 = Ce^(-0.02t)
A = 300 + Ce^(-0.02t)
Apply initial condition to determine C.
50 = 300 + Ce^(-0.02 × 10)
50 = 300 + Ce^(-0.2)
-250 = Ce^(-0.2)
C = -250e^(0.2)
A = 300 - 250e^(0.2)e^(-0.02t)
A = 300 - 250e^(0.2 - 0.02t)
In this problem, the point-slope form of a line is defined as:
Where:
represents a point on the line,
and m stands for the slope.
Given the details:
Substitute the values:
Thus, the equation of the line is:
Answer:
