Explanation
The question requires that we figure out the sides that represent the top/bottom faces and the left/right faces.
We are given the plan of the aluminum sheet
The top, bottom, left and right faces are shown below
The dimension for the top and bottom is

Since they are two
Therefore the total area for the top and bottom will be

For the left and right faces, the dimensions are
The dimensions of the left and right faces will be

Since they are two, then
The area will be
Answer:
$19.68
Step-by-step explanation:
To find out how much it'll cost Melissa to buy the ribbon, we simply need to find all the side lengths (the perimeter) and then multiply then by the cost.
We already know two of the side lengths: 6 and 8. To find the third, remember that the question tells us that the triangle is a right triangle. Therefore, we can use the Pythagorean Theorem. The unknown side is the longest side. Therefore:

Substitute 6 for a and 8 for b. This gives us:

Solve for c. Square the values:

Add:

Take the square root of both sides:

Therefore, our unknown side is 10 feet.
Therefore, the sum of our side lengths or the perimeter is:

Add:

This means that the total cost will be:

Multiply. The foot/feet cancel:

Multiply:

So, it will cost Melissa a total of $19.68 to buy the ribbon.
And we're done!
Edit: Typos
(g o f)(2x)=g(f(2x))
take derivitive
use chain rule
remember
derivitive of g(f(x))=g'(f(x))f'(x)
so
g(f(2x))=g'(f(2x))f'(2x)(2)
at x=1
f(2x)=f(2)=1
g'(1)=1
f'(2x)=f'(2)=1
we get
(1)(1)(2)=2
it is 2
I hope yo udidn't copy the wrong value for f(x) or f'(x)
Answer:
read the full answer
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Horizontal Shift: Right 2 Units
Vertical Shift: Up 5 Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: Stretched
TO VIEW GRAPH TRY M-A-T-H-W-A-Y