The rate of residential electricity consumption (in billions of kilowatt hours (kWh) per year) of a country is approximated b
y the model below, where x=0 corresponds to the year 1990. Find the total consumption of electricity from 2001 to 2006.
1 answer:
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Answer:
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by:
C. = 1.45 + 0.074x
Step-by-step explanation:
The data given is:
x: 5,5,510,10,10, 15,15,15, 20,20,20
y: 1.6,2.2,1.4, 1.9, 2.4,2.6, 2.3,2.7, 2.8,2.6, 2.9, 3.1
For this case we need to calculate the slope with the following formula:
Where:
So we can find the sums like this:
With these we can find the sums:
And the slope would be:
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by:
C. = 1.45 + 0.074x
9514 1404 393
Answer:
D 2.14
Step-by-step explanation:
The lengths of interest are the hypotenuses of the respective triangles. We are given the angle and the opposite side, so the sine relation is of interest.
Sin = Opposite/Hypotenuse
sin(34°) = AC/AB ⇒ AB = AC/sin(34°)
sin(53°) = AC/AD ⇒ AD = AC/sin(53°)
The desired difference in lengths is ...
AB -AD = AC(1/sin(34°) -1/sin(53°)) = 4(1.78829 -1.25214) ≈ 2.1446
The difference in lengths is about 2.14 units.
