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3 years ago

What are the ways to determine if a relation is a function? Select EACH correct answer.

Mathematics

2 answers:

Radda [10]3 years ago

7 0

Answer:

Step-by-step explanation:

vredina [299]3 years ago

4 0

Here hope helps sry if wrong

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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;

Using the volume formula of a cylinder

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

10 (4p - 2k)(3) In distributive property?

NeTakaya

Answer:

10 ( 12p - 6k)

Step-by-step explanation:

4p x 3 = 12p

2k x 3 = 6k

you cannot subtract 12p and 6k bcuz they do not have the same variables.

5 0

3 years ago

HELP PLEASEEEEEEEE!!!!!!!!!!!!!!!!!

mariarad [96]

Plus or minus 3. (The 1st answer)

x^2 means (-3*-3) which equals 9

x^2 means (3838) which also equals 9

6*9=54

7 0

3 years ago

Read 2 more answers

Can you vive me please equivalent fraccions of 14/80 6/18 80/100 Please

-BARSIC- [3]

14/80 = 7/40
6/18 = 1/3
80/100 = 4/5

8 0

3 years ago

Read 2 more answers

X²×y²×(x-y)-5×x×y²+27=0

nikklg [1K]

Answer:

Hope its help you..

Step-by-step explanation:

7 0

3 years ago