To determine the values of b that fulfill 3(2b+3)^2 = 36
we start with
3(2b+3)^2 = 36
Divide both sides by 3
(2b+3)^2 = 12
Next, take the square root of both sides
(2b+3)} = (+ /-) \sqrt{12} \\ 2b=(+ /-) \sqrt{12}-3
b1=\frac{\sqrt{12}}{2} -\frac{3}{2}
b1=\sqrt{3} -\frac{3}{2}
b2=\frac{-\sqrt{12}}{2} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}
Thus,
the solutions for b are
b1=\sqrt{3} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}
9. Observing the pattern, the decimal digit at position n is 9 when n is even and 0 when n is odd. Because 44 is an even number, the 44th digit after the decimal point is 9.
Step-by-step approach: The Chancellor should implement a multi-stage sampling method for the survey. Initially, random samples of solar systems should be selected from the galaxy, followed by sampling planets within the chosen solar system, and finally, a random selection of countries within those planets.
Answer:
Step-by-step explanation:
Given:
- Fuel volume = 5/6
- Each trip uses fuel = 1/12
- Number of trips to work = x
Since 1/12 of the tank is used for each trip and the starting volume is 5/6, the equation can be represented as:
By solving the equation, we find:
This means Felitz can make 10 trips to/from work with a tank filled to 5/6.
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