Answer:
38 m^3
Step-by-step explanation:
The shape of the shed is a prism.
volume = area of base * height
The base of the prism is the front face of the shed. The height of the prism is the 2 m distance between the front base and the back base.
area of base = area of rectangle + area of triangle
The front base consists of a rectangle with length 5 m and width 3 m and a triangle with base 5 m and height 1.6 m
area of base = LW + (1/2)bh
area of base = (5 m)(3 m) + (1/2)(5 m)(1.6 m)
area of base = 15 m^2 + 4 m^2
area of base = 19 m^2
height of prism = 2 m
volume = area of base * height
volume = 19 m^2 * 2 m
volume = 38 m^3
Explanation:
For a function ...
y = f(x)
the inverse function is ...
x = f(y)
To write that in the form y=f^-1(x), you need to solve for y.
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For your function f(x) = e^x +3 this looks like ...
x = e^y +3
x -3 = e^y . . . . . subtract 3
ln(x -3) = y . . . . . take the natural log
So, we can write ...
f^-1(x) = ln(x -3)
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Attached is a graph of these functions. As you might guess from the interchange of x and y, a function and its inverse are mirror images of each other across the line y=x.
A) -4n-36
You multiply -4 by n, which is -4n, and -4 by 9, which is -36
Answer:
The correct answers are: 0.5, 3, and 10.
Basically, all numbers that are greater than -2.5 can make this inequality true.
Let me know if this helps!
