Answer: c
Step-by-step explanation:
The two points on the line are open, so they will not be included in the solution set, which means they will be greater than or less than. No number can fit both inequalities, so it must be “or”. The only one that fits this is c.
For |<em>x</em>| < 1, we have
We have |sin(<em>x</em>)| ≤ 1, with equality when <em>x</em> = ± <em>π</em>/2. For either of these, the right side of the equation does not converge, since it's either an infinite sum of 1s or an infinite alternating sum of 1 and -1.
So for |sin(<em>x</em>)| < 1, we have
so the equation is equivalent to
One obvious set of solutions occurs when <em>x</em> = <em>x</em>² - 1 :
<em>x</em>² - <em>x</em> - 1 = 0 → <em>x</em> = (1 ± √(5))/2
i.e. the golden ratio <em>φ</em> ≈ 1.618 and 1 - <em>φ</em> ≈ 0.618.
Answer:
10
Step-by-step explanation:
Pytageroem theorm
Answer:
x=1/2
Step-by-step explanation:
divide each side by -4
x=1/2
Given that the equipment elevator descends at 6 feet per second.
The total number of seconds travelled by the equipment elevator is 23 + 16 = 39 seconds.
Thus the <span>position of the equipment elevator relative to the surface is given by -(6 x 39) = -234 feet.
Given that </span>the <span>miners elevator descends at 16 feet per second.
The total number of </span>seconds travelled by the miners elevator is 16 seconds.
Thus, the <span>position of the miners elevator relative to the surface is given by -(16 x 16) = -256 feet.
At that time the miners' elevator is deeper.
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