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3 years ago

Simplify the rational expression state any excluded values

Mathematics

1 answer:

Sphinxa [80]3 years ago

4 0

The answer is C) x-3

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There are 4 boys and 7 girls, how many four person group combinations are possible?

irina1246 [14]

There are 4 boys and 7 girls with a total of 11. Now, how many 4 persons group combinations are possible.
=> 1 boy and 3 girls
=> 2 boys and 2 girls
=> 3 boys and 1 girl
Thus, there are 3 possible combinations that might happen.

5 0

3 years ago

How are (5.3,1) and (-5.3,1) related?

OleMash [197]

Answer:

i think because theyre like terms, im not sure tho

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2 years ago

Clase, ¿cuánto es 2.000 − 502?

coldgirl [10]

Answer:

1498 or Mil cuatrocientos noventa y ocho (Espanol)

Step-by-step explanation:

2,000 - 502 = 2,000 - 500 - 2.

2,000 - 500 = 1500

1500 - 2 = 1498

6 0

3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

Read 2 more answers

A number is more than 9 units from 3.

coldgirl [10]

Answer: It's either -6 or 12. I'm assuming it's 12 because it says "more than."

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers