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.
Are you solving for x and y? 5y + 2(6x) would just be 5y + 12x
The volume of the bag will be found by multiplying the length times the width times the height. This would be 5.5 x 3 x 8. The volume of the bag is 20.9 cubic inches. The volume of the candle would be found by using the formula for finding volume of a cylinder. V =pi(approximately 3.14) x r^2 x h, where r is the radius( half the diameter) and h is the height. V = 3.14 x 1.25 x 1.25 x 6. The volume of the cylinder would be 29.4 cubic inches.
The completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
<h3>How to factor the polynomial?</h3>
The expression is given as:
2x^2 + 4x + 3xy + 6y
Group the expression into two
[2x^2 + 4x] + [3xy + 6y]
Factor out each group
2x(x + 2) + 3y(x + 2)
Factor out x + 2
(2x + 3y)(x + 2)
Hence, the completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
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A. x + 3
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EXPLANATION:
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Therefore:
The correct answer: A. x + 3.
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