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We will conclude that:
- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
<h3>Comparing the domains and ranges.</h3>
Let's study the two functions.
The exponential function is given by:
f(x) = A*e^x
You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:
y > 0.
For the logarithmic function we have:
g(x) = A*ln(x).
As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:
So the range of the logarithmic function is the set of all real numbers.
<h3>So what we can conclude?</h3>- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
If you want to learn more about domains and ranges, you can read:
Given that the volume of the aquarium is 20m^3.
Volume = Area of Base x height
Area of Base = Volume / height = 20/h
Given that the aquarium has a square base.
Area of square = l^2
Thus, the length of the base of the aquarium is
The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.
Thus, the total perimeter of the frame is given by
Area of the four side faces of the aquarium is 4 times the length of the base times the height =
Total area to be covered by grass is the base and the four side faces and is given by
Cost of the entire metal frame =
Cost of the entire grass =
Therefore, total cost in terms of the height, h, is given by
Volume = Area of Base x height
Area of Base = Volume / height = 20/h
Given that the aquarium has a square base.
Area of square = l^2
Thus, the length of the base of the aquarium is
The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.
Thus, the total perimeter of the frame is given by
Area of the four side faces of the aquarium is 4 times the length of the base times the height =
Total area to be covered by grass is the base and the four side faces and is given by
Cost of the entire metal frame =
Cost of the entire grass =
Therefore, total cost in terms of the height, h, is given by
Answer:
300
Step-by-step explanation:
Sum the parts of the ratio : 3 + 2 = 5 parts
Divide the number of appointments by 5 to find the value of one part of the ratio, that is
= 100 ← value of 1 part of the ratio
The mums consisted of 3 parts, hence
3 × 100 = 300 ← appointments with mums