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hram777 [196]
3 years ago
7

Please help. I’ll mark you as brainliest if correct!!!!

Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0

Answer:

(-∞, -6] U [-2, ∞)

Step-by-step explanation:

To solve this, begin by factoring this quadratic equation into its factored form:

x² + 8x + 12 ≥ 0 becomes (x+6)(x+2) ≥ 0.

x = -6, and x = -2 are the zeros of this parabola. Therefore:

(-∞, -6] U [-2, ∞) are the parts of the graph above y = 0 because the graph

opens upward.

** Remember, when the '≥' sign is present, the

square brackets must be used.

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Answer:

Correct option: fourth one -> 254 cubic inches.

Step-by-step explanation:

The volume of a cylinder is given by the equation:

Volume = \pi * radius^2 * height

To calculate the internal volume of the pipe, we should use its internal radius.

The external radius of the pipe is half of the diameter, and the internal radius is the external radius minus the thickness of the pipe, so we have:

internal\ radius = external\radius - thickness\\internal\ radius = \frac{6}{2}  - 0.75\\internal\ radius = 2.25\ in

Then, using the internal radius in the volume equation, we have that:

Volume = \pi * 2.25^2 * 16

Volume = 254.47\ in3

So the correct option is the fourth one: Volume is approximately 254 cubic inches.

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3 years ago
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Step-by-step explanation:

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3 years ago
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