Answer:
D, 245.0 in^2
Step-by-step explanation:
Formula for the surface area of a cylinder: A=2πrh+2πr^2
A = 2πrh + 2πr^2
A = 2π(3)(10) + 2π(3)^2
A = 60π + 18π
A = 245.044
=153/300
=.51
The probability is .51 or 153/300
Answer:
15 inches
Step-by-step explanation:
12 inches = 1ft
12ft = 144 inches
144/9 = 16
20ft = 240 inches
240/16 = 15 inches
Answer:
9. Perpendicular
10. neither
11. Perpendicular
12. neither
Step-by-step explanation:
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Slope Intercept Form: y = mx + b
* M is the slope
* B is the y intercept
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Lines are parallel if they have the same slope (ex. If two equations have a slope of 2)
Lines are perpendicular if they have the opposite and the reciprocal slope (ex. If 1 equation has a slope of 3 and another equation has a slope of -
)
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9. Perpendicular: The slopes are reciprocal of each other and one of them is negative
10. Neither: The lines are not perpendicular because the slopes are both negative
11. Perpendicular: If you plot y=5 it is a horizontal line through 5. If you plot x=-3 it is vertical line through -3. These lines intercept and are perpendicular.
12. Neither: The slopes of both equations need to be the same to be parallel
- Put both equations into y=mx+b
- y = 1/2x -2 AND y = -1/2x -2
Answer:
The selected answers are correct.
Step-by-step explanation:
The first step of the 3-step test for continuity is
- check to see if the function is defined at the point. Here, the function h(-3) is defined as 5.
The second step of the 3-step test for continuity is
- check to see if the limit exists at the point. Here, the limit is 2, coming at it either from the left or the right. (log6(36)=2; 16·2^-3=2)
The third step is
- show the function value is the same as the limit at the point of interest. Here 5 ≠ 2, so there is a discontinuity at x=-3.