1) x < 4 the answer is <span> Option C: x E(-infinity,4) (it is strict)
2) </span>2x +6 < 8, and <span>2x < 8 - 6 = 2, and x<2/2=1
the answer is </span>
<span>D. x E (-infinity, 1)
</span>3) <span>X greater than or equal to 8 and x < - 4
</span>X greater than 8 means x ≥ 8
so we have x ≥ 8 and <span> x < - 4
so the answer is </span>
<span>B. x E (-4,8]
</span> 4)
7 > x + 6 or x -2 greater than or equal to 3,
<span>7 > x + 6 or x -2 ≥ 3
</span>
<span>7 -6> x, and 1>x
</span>
x -2 ≥ 3 x<span>≥ 3+2=5
finally
</span>x<1 and x≥5
the answer is
<span>C.x E (1,5]
5)
</span>
|x+3| > 12,
|x+3| = { -(x+3) if <span>x+3<0 or </span><span>(x+3) if </span><span>x+3>0}</span>
so, it is -(x+3)>12 is equivalent to (x+3)< -12 or (x+3)>12
the answer is
<span>B. x + 3 > 12 or x + 3 <-12</span>
We have been given that
The length of the tile is given by 1/3 feet.
The width of the tile is given by 1/3 feet.
The length of the board is given by 1/4 yd.
The width of the board is given by 1/4 yd.
We know that 1 feet = 0.33 yard
Hence, we have
The length of the tile = 
yd
The width of the tile = yd
Hence, the ratio of length of the tile to the length of the board is given by
Area of tile = 
square yd.
Area of board is 
Therefore, the ratio of the area of the tile to the area of the board is given by
Answer:
16, 1/16
Step-by-step explanation:
Hope it helps you in your learning process.
Answer:
A. For every 1 inch of mercury the pressure increases, the boiling point is expected to increase by 1.9°F
Step-by-step explanation:
A regression model is in the form :
y = mx + c
With m being the slope = rate of change
In regression, the value of the slope gives the rate of change in y value per unit increase in the value of x
The slope in the question above is 1.9, this means for every unit increase in mercury pressure, then boiling point, y increases by 1.9°F
Answer:
theta = 4.5642792103077898247
Step-by-step explanation:
0 <= theta < 2Pi sin(theta) = 1/2
so
2Pi sin(theta) = 1/2
Pi sin(theta) = 1/4
sin(theta) = 1/(4Pi)
sin(theta) = .0795774715459
theta = arcsin(.0795774715459) = 4.5642792103077898247
