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Answer: Second option y=log(2x)+3
Solution:
Based on the family of graphs shown in the attached file, the equation could represent the graph is y=log(2x)+3
This graph is the graph of the funtion y=log(x) stretched horizontally by a factor of 2 and translated 3 units upward.
Answer:
20 π
Step-by-step explanation:
The surface area of a cylinder is made up of 2 circles and its side.
To find the circles' areas, use the area formula for a circle: A = π.
Since our radius is 2 yd, we can substitute r = 2 into this formula.
A = π = 4π
Now remember, this is only the area of once circle. Multiply 4π by 2 to get the area of both circles: 8π.
Now we need to find the surface area of the side.
If we flatten it out, we can see that the side is actually a curled up rectangle.
The length is the circumference of the circle and the width is the height of the cylinder.
To find the circumference, use the circumference formula for a circle: C = 2πr.
Substitute r = 2 into the formula.
C = 2π2 = 4π
Now that we know that the length is 4π, we can multiply the length by the width to find the area of the cylinder's side.
l = 4π
w = 3
A = lw = 4π * 3 = 12π
Finally, we can add the areas of the circles and the side to get the total surface area.
8π + 12π = 20π
And that is your answer!
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