Answer:
(15°, 165°)
Step-by-step explanation:
Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval [0, 2π]
Given
6 sin2(x) = 3,
Divide both sides by 6
6 sin2(x)/6 = 3/6
sin2(x) = 1/2
2x = sin^-1(0.5)
2x = 30°
x = 30°/2
x = 15°
Since sin is positive in the second quadrant, x2 = 180-15
x = 165°
Hence the values within the interval are 15 and 165.
(15°, 165°)
Answer:
y <= -2x + 1
Step-by-step explanation:
The one that is selected is correct.
Answer: Choice A) y - 10 = 2(x - 3)
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Explanation:
We can rule out choices C and D because this diagonal line has a positive slope (as it moves uphill when moving to the right).
So m = 2 must be the slope.
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Recall that
y - y1 = m(x - x1)
represents the point slope form of a linear equation.
The point shown on this graph is (3,10) meaning that x1 = 3 and y1 = 10 pair up together.
So,
y - y1 = m(x - x1)
y - 10 = 2(x - 3)
which points to <u>choice A</u> as the final answer
Answer:
9.5 m
Step-by-step explanation:
If width is -- x
12.4 + x + 12.4 + x = 43.8
2x = 19
x = (19/2)
x = 9.5 m
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The 99.87th percentile, or the area to the left of the 3 standard deviation mark it 99.87% better than everyone/everything else.