Answer:

Step-by-step explanation:
Express as product of prime factors.


The greatest common factor is the product of the least powers of the common factors.
The GCF is

To find a percentage, you the decimal point in the percent two places to the right 16% = 0.16. Then multiply.
0.16 • 400 = 64
16% of 400 = 64
To find the surface area of a prism, we must find the area of each side and add them up.
Let's first find the area of the triangular base.
The area of a triangle is

Where b is the base length and h is the height.
The base length of the triangle is 10.5. The height is 10.

The triangular base has an area of 52.5 cm².
The triangular top must also have the same area. Thus, it also has an area of 52.5 cm².
Now we to find the length of the 3 rectangles on the side of the prism.
The formula for the area of a rectangle is

where

is the width and

is the length.
All rectangles have a width of 8. They all have different lengths. If we find the area of all the rectangles, we have the following:



Now, add up ALL the areas we found. We'll have our surface area once we do this.

The surface area is 385 cm². Hope this helps! :)
Problem 1
The portion from t = 0 to t = 5 represents going downhill, which is a total duration of 5 seconds. This is because the speed is going up (the y values are increasing) as you move from right to left for this interval. It looks like you're going uphill here, but keep in mind that the y axis is not position. Instead, the y axis represents speed.
Answer: 5 seconds
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Problem 2
You have the correct table. Nice job. Don't forget to show your work if your teacher requires it.
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Problem 3
f(x) = x*|-2|^x
f(3) = 3*|-2|^3 ... replace every x with 3
f(3) = 3*(2)^3
f(3) = 3*8
f(3) = 24
The input is x = 3 which leads to the output y = 24
The ordered pair (x,y) = (3,24) is on the function curve
Answer: 24