A large energy company produces electricity, natural gas, and oil. The production of a dollar's worth of
1 answer:
Answer:
E = 64.05
NG = 52.29
O = 35.15
Step-by-step explanation:
With the statement we can create a system of 3X3 equations that would be as follows:
E = electricity
NG = natural gas
O = oil
0.35 * E + 0.15 * NG + 0.25 * O = 25
0.35 * E + 0.15 * NG + 0.2 * O = 15
0.1 * E + 0.1 * NG + 0.1 * O = 20
If we pass this system equations to matrix and subtract it from the identity matrix we would have the following:
0.65 * E - 0.15 * NG - 0.25 * O = 25
-0.35 * E + 0.85 * NG - 0.2 * O = 15
-0.1 * E - 0.1 * NG + 0.9 * O = 20
Solving this system of equations around here can be very long and impractical, therefore, I attach a photo of the process:
And the answer is:
E = 64.05
NG = 52.29
O = 35.15
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Answer:
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Segment Adjacent to the leg: 36
x=60
Step-by-step explanation:
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Answer:
Step-by-step explanation:
This is an exponential equation that is solved by taking the natural log of both sides. The equation is
If we are looking for x when f(x) = 64, then
Take the natural log of both sides:
The rules of logs allows us to bring the x down in front:
Divide both sides by ln(2) to get:
Do this on your calculator to get that x = 6.
You could also have just gone right to your calculator and started raising 2 to consecutive powers starting at like 3 or 4 to eventually get that 2 to the 6th power is equal to 64, but for the basics of solving log equations, you need to know how to do this.