3 years ago

globe has a diameter of 12 inches. What is the volume of the globe? Use 3.14 for pi. Round your answer to the nearest hundredth

Mathematics

2 answers:

vesna_86 [32]3 years ago

4 0

113.09 because you divide the 12 by two because the rule

frozen [14]3 years ago

4 0

D=12, r=6 v=4/3pi*r^3
4/3*3.14*6^3=904.32

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Plz help me with this

Cloud [144]

$\bold{\text{Answer:\qquad }b)\quad \bigg(\dfrac{1}{2},-2\bigg)}$

<u>Step-by-step explanation:</u>

The vertex form of an absolute value equation is: $f(x)=|x-h|+k$ where

(h, k) is the vertex. In the given equation, $f(x)=\bigg|x-\dfrac{1}{2}\bigg|-2$ , the h-value is 1/2 and the k-value is -2.

So, the vertex (h, k) = (1/2, -2)

8 0

3 years ago

At what point is the following function continuous?

liubo4ka [24]

Check the picture below.

something worth noticing $\bf \cfrac{x^2-x-6}{x-3}\implies \cfrac{(\underline{x-3})(x+2)}{\underline{x-3}}\implies x+2$

so, we're really graphing x+2, with a hole at x = 3, however, when x = 3, we know that f(x) = 5, but but but, when x = 3, x+2 = 5, so we end up with a continuous line all the way, x ∈ ℝ, because the "hole" from the first subfunction, gets closed off by the second subfunction in the piece-wise.