The range of the function f(x) = |x| is [0,∞)
<h3>How to determine the range?</h3>
The function is given as:
f(x) = |x|
The above is the parent equation of an absolute value function.
The above function cannot output any negative value.
This means that:
ƒ(x) >= 0
As an interval notation, we have:
[0,∞)
Hence, the range of the function f(x) = |x| is [0,∞)
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The height is increasing at the rate of (6/5π) ft/min.
It is given that Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. Also, its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.
For this, we need to find the volume of a cone. Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
The volume of a cone is - V=1/3hπr²
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Answer: 0.75
Step-by-step explanation:
Cos A = 0.8 = 4/5
Note that:
sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent
Since cos = adjacent / hypotenuse
Therefore, we need to find the opposite which will be:
Hypothenuse² = Opposite² + Adjacent²
5² = Opposite² + 4²
Opposite² = 5² - 4²
Opposite² = 25 - 16
Opposite² = 9
Opposite = ✓9
Opposite = 3
Since tangent = opposite / adjacent
Tan a = 3/4 = 0.75
