Depth is the same thing as height for a pool. Volume is l*w*h.
The total amount of water a pool can hold is the volume.
so take the total volume (1408) and divide it by 22 and 4.
1408/4/22=16
The width is 16 ft.
Answer:
ok...............................................................
F(x) = 2÷(x² - 2x - 3)
1)
Domain:
The domain is all the values for x that will produce a real number for y
Factor the denominator to find where y is not defined:
f(x) = 2÷(x² - 2x - 3)
f(x) = 2 ÷ (x-3)(x+1)
The domain is all real numbers except x=3 and x=-1
Range:
The range for y is all the values that y can take, given the domain.
The range is all real numbers, because y approaches both positive and negative infinite at different points on the graph.
The y-intercept is where x=0
y= 2 ÷ (0² - 2(0) -3)
y= 2 ÷ -3 = -2/3
The x-intercept are the points at which y=0.
Let's use the factored form again:
f(x) = 2 ÷ (x-3)(x+1)
This function has no x-intercepts. All values of X either produce a real number, or are undefined in the case of x=3 and x=-1
Horizontal Asymptotes
As X approaches inifinite, how does y behave?
f(x) = 2÷(x² - 2x - 3)
As x approaches both positive and negative infinite, the dominate term in the denominator, x², is vastly greater than 2, and thus y approaches zero.
The horizontal asymptote is zero, in both the positive and negative direction.
Again, let's consult the factored form:
2 ÷ (x-3)(x+1)
There are vertical asymptotes at both x=3 and x=-1. As x approaches these numbers, depending on whether x is a little bigger or smaller than either one, y approaches positive and negative infinite, since the denominator of the function approaches zero.
Therefore, there are both positive and negative vertical asymptotes at both x=3 and x=-1
As for the graph, we'll leave that to you and the many applications that can aid in such a task!
Answer:
Step-by-step explanation:
Given the dimensions of the cylinder as d=4cm and h=4cm, its volume can be calculated using the formula:
Hence the volume of the cylinder is 50.27
<h3>
Answer: 320 square meters</h3>
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Explanation:
The scale factor 4 means the dimensions of the second rectangle are 4 times larger.
The width of 4 meters bumps up to 4*4 = 16 meters.
The length of 5 meters becomes 4*5 = 20 meters.
So a 4 by 5 rectangle is similar to a 16 by 20 rectangle.
The area of the second rectangle is therefore 16*20 = 320 square meters.
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As an alternative, you can compute the area of the 4 by 5 rectangle to get 4*5 = 20. Then multiply this with 4^2 = 16 to get 16*20 = 320.
The 4^2 = 16 multiplier is the result of squaring the scale factor.
So if you know the dimensions have been multiplied by 4, then the area has been multiplied by 16.
