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3 years ago

What is the domain of 16/13-x

Mathematics

2 answers:

kiruha [24]3 years ago

7 0

The domain of the function is the set of input or argument values for which the function is real and defined.

$13-x=0 x=13$

So the function is not defined when x=13.

thus the domain of the function is $x\neq 13\\$

In Interval notation, $(-\infty, 13)U(13, \infty)$

12345 [234]3 years ago

3 0

It would be all real numbers

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Answer:

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2. The diameter of the sphere is $d=\sqrt{\frac{2463}{\pi }}\approx 27.9999 \:cm$ .

Step-by-step explanation:

The surface area of a sphere is given by the formula

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The volume enclosed by a sphere is given by the formula

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1. From the information given we know that the sphere has a radius of 18 inches.

The surface area is

$A=4\pi \left(18\right)^2\\\\A= 4\cdot \:324\pi\\\\A=1296\pi \:in^2$

and the volume is

$V=\frac{4}{3}\pi \left(18\right)^3=\frac{4\pi 18^3}{3}=\frac{3^6\cdot \:2^3\cdot \:4\pi }{3}=7776\pi \:in^3$

2. The diameter of a sphere is given by $d=2r$ , where $r$ is the radius of the sphere.

We know that the surface area is 2463 square centimeters. To find the diameter of the sphere first we need to find the the radius.

$A=4\pi r^2\\\\2463=4\pi r^2\\\\4\pi r^2=2463\\\\r^2=\frac{2463}{4\pi }\\\\r=\frac{\sqrt{2463}\sqrt{\pi }}{2\pi }\approx13.99997 \:cm$

and the diameter is

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