Answer:
35.4 years
Step-by-step explanation:
The annual consumption (in billions of units) is described by the exponential function ...
f(t) = 45.5·1.026^t
The accumulated consumption is described by the integral ...
We want to find t such that the value of this integral is 2625, the estimated oil reserves.
2625 = 45.5/ln(1.026)·(1.026^t -1)
2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t
Taking natural logs, we have ...
ln(2.480832) = t·ln(1.026)
t ≈ ln(2.480832)/ln(1.026) ≈ 35.398
After about 35.4 years, the oil reserves will run out.
Answer:
73.5
Step-by-step explanation:
Step 1: 21/2 divided by 2 = 21/4
Step 2: 21/4 times 21/4 times 8/3 =
Answer: 73.5
The green shaded box is there to show that that is the base are to find the two sides that were multiplied to get that do the first step. Then do your basic volume formula: length times width times height.
Answer:
70.3 ft
Step-by-step explanation:
The ratio of the adjacent side (33 or KM) to the hypotenuse (X or KL) is the cosine of the angle:
cos(62°) = 33/KL
Multiplying by KL/cos(62°) gives ...
KL = 33/cos(62°) ≈ 33/0.4694 ≈ 70.292 ≈ 70.3
The length of KL is about 70.3 feet.
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Make sure your calculator is in degrees mode.
Answer:
the answer is the first one [3 -12 15 -21]
Step-by-step explanation:
Because 3 times 1 = 3, 3 times -4 = -12, 3 times 5=15, 3 times 7 = -21
because they are in order to get a negative one of them have to be a negative if they both of them where negative it would be positive.
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Answer:
Step-by-step explanation:
A full circle consists of 360°, so we can write the fraction of this arc as 
, which can be simplified to by dividing the numerator and denominator by 30.
**This content involves simplifying fractions and knowledge on the angle sum of a circle which you may wish to revise. I'm always happy to help!
