Answer:
Step-by-step explanation:
We use these three methods
1. Generalized cylinder method
2. Surface of revolution method
3. Method of slices general quadratic
1. For A = x² = 4z + 8
We use the method of slices for general quadratic
2. X²-4y²-4z² = 16
We use the generalized cylinder method
3. Y² = z² + 2z²
We use surface of revolution
Please check attachment for answers
The number is 6400.
We have given that,
divided 80 by my number, and then added 13.
<h3>What is the expression?</h3>
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Suppose the number is x

Subtract 13 from both sides


Multiply both sides by 80

x=6400
Therefore the number is 6400.
To learn more about the number visit:
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Answer:
Interest rate: 9%
Step-by-step explanation:
Using the simple interest formula: A=P(1+rt)
A=Final amount
P=Principal amount
r=rate
t=time (years)
We just need to put in the information we have from the question and solve for r.
7,620=6000(1+r3)
7,620/6000=1+r3
1.27=1+r3
0.27=r3
r=0.09
r=9%
Answer:
807.8 in^2
Step-by-step explanation:
The total area of the box is the sum of the areas of all faces of the box. The top, bottom, front, and back faces are rectangles 18 in long. The end faces each consist of a rectangle and a triangle. We can compute the sum of these like this:
The areas of top, bottom, front, and back add up to be 18 inches wide by the length that is the perimeter of the end: 2·5in +2·8 in + 9.6 in = 35.8 in. That lateral area is ...
(18 in)(35.6 in) = 640.8 in^2
The area of the triangle on each end is equivalent to the area of a rectangle half as high, so we can compute the area of each end as ...
(9.6 in)(8.7 in) = 83.52 in^2
Then the total area is the lateral area plus the area of the two ends:
640.8 in^2 + 2·83.52 in^2 = 807.84 in^2 ≈ 807.8 in^2
Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)