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Answer:
y = 1/4x - 3.
Step-by-step explanation:
Use the slope-formula to find the slope of the line:

Plug in two points from the line. Use the points (-4, -4) and (0, 3):

Simplify:
m = 1/4.
Slope-intercept form is y = mx + b.
Find the 'b' value by finding the y-value at which the graph intersects the y-axis. This is at y = -3. Therefore, the equation is:
y = 1/4x - 3.
We know that the graph of a function is a line that passes through the coordinates (2, 11) and (8, 14) and we must find the equation for the line.
1. We must use the next formula to find the slope

Where (x1, y1) and (x2, y2) are the points.
Now, replacing the points in the formula for the slope

2. We must replace the slope and one of the points in the next formula

Now, replacing the slope and the point (2, 11)

3. We must delete the parenthesis and solve the equation for y

ANSWER:
Answer: 5.97 hours
Step-by-step explanation:
S(t) = 100
I put in 100 = 600 x e^-0.3t and it came out to be 5.97 when rounded to the nearest hundredth. It is also correct on khan academy.
Answer:
806 yd sq.
Step-by-step explanation:
Area=(length)(width), so to find the surface area you can just find the area of each side and then add then all together.
They already gave you the length of some of the sides, so you should use that to help you find the length of all the sides.
You can see the entire prism's length is 17 yd, width is 4 yd, and height is 14 yd.
The large visible side's area would be (14)(17)= 283 yd. There's another one of these side's on the other side that we can't see. So we would do (283)(2) = 566 yd sq.
Next, we'll find the area of the side on the side by doing (14)(4)=56. Once again, there's two of these sides so we do (56)(2) to get 112 yd sq for this side.
Finally, we'll find the area of the top side. We can do (4)(17) =68, and then (68)(2) to get 138 yd sq.
Now, we have the area of each side of the prism! To find the total surface area, just add them all together. 556+112+138=806.
The surface area would be 806 yd sq.
Equal to 5.13333...
Or 77/15