20 cylindrical container tim required
Given vertical asymptotes x = 2 and x = -5 .
Therefore Factors of denominator (x-2)(x+5).
x-intercepts (-1,0) and (1,0) .
Therefore factors of (x+1)(x-1).
So far we got rational function =
.
Now, we are given horizontal asymptote at y = 9.
Multiplying above express by 9 on the top, we get
.
<h3>Therefore, required rational function is

.</h3>
Answer:
18,471.6 cubic inches of wax will be needed
Step-by-step explanation:
We want the volume that will be required for 210 candles. We first find the volume of 1 candle by using volume of cylinder formula. Then multiply that answer by 210 to find volume of wax needed to make 210 such candles.
Volume of Cylinder is given by the formula:

Where
r is the radius
h is the height
Given,
r = 2 in
h = 7 in
We substitute and find 1 candle volume:
Volume of 1 candle = 
Hence,
Volume of 210 candles = 87.96 * 210 = 18,471.6 cubic inches
Answer:
Height = 5 ft
Base = 11 ft
Step-by-step explanation:
The area of a parallelogram is
Base × Height
From the question:
The base of a parallelogram is 6 ft more than the height.
Base = 6ft + h
If the area of the parallelogram is 55 ft^2,
what are the measures of the base and the height?
This is calculated as:
55 ft² =( 6 + h ) × h
55 = 6h + h²
h² + 6h - 55 = 0
h² +5h - 11h - 55 = 0
h(h + 5) - 11(h + 5) = 0
(h + 5)(h - 11) = 0
h - 11 = 0
height = 5ft
Base = 6 + h = 6 + 5
Base = 11ft