Which graph represents y=⌈x⌉ over the domain 2≤x≤5?

Mathematics

2 answers:

mars1129 [50]3 years ago

8 0

Answer:

<h2>Fourth graph.</h2>

Step-by-step explanation:

The black circles represent closed intervals, and the white circles represent open intervals.

So, according to function domain given, x = 2 is part of the domain, so must have a black circle. X = 5 is also closed interval, that is part of the domain, so also must have a black circle.

The only graph that has this characteristics is the fourth.

Viefleur [7K]3 years ago

3 0

The fourth graph is the correct answer

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Answer:

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Step-by-step explanation:

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$a^2 = b^2 + c^2$

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$10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx 7.9$

Now that we have the cone's height, we can solve for its volume:

$v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2 \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3$