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3 years ago

13

Help me the comments go under ask for details and the answers go under the answers

1 answer:

Nikolay [14]3 years ago

3 0

The first one is true and so is the second one.

When you graph the function, every x value (or input) has only one y value (or output). If the line weren't straight then there could be multiple inputs and outputs which would mean it isn't a function

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What would be the volume of (a) air (b) plastic in a ball with 25cm diameter made from plastic 2mm thick?

morpeh [17]

Answer:

Part a) The volume of the air is $V=7,794.78\ cm^{3}$

Part b) The volume of the plastic is $V=386.45\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the sphere is equal to

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

step 1

Find the volume of the complete ball (air +plastic)

we have

$r=25/2=12.5\ cm$ ------> the radius is half the diameter

substitute

$V=\frac{4}{3}\pi (12.5)^{3}$

$V=8,181.23\ cm^{3}$

step 2

Find the volume of the air

we have that

The plastic is 2 mm thick

Convert to cm

2 mm=2/10=0.2 cm

so

The radius of the interior of the ball is

$r=12.5-0.2=12.3\ cm$

substitute

$V=\frac{4}{3}\pi (12.3)^{3}$

$V=7,794.78\ cm^{3}$ -----> this is the volume of the air (interior of the ball)

step 3

Find the volume of the plastic

we know that

The volume of the plastic is equal to the volume of the complete ball minus the volume of the air

so

$8,181.23\ cm^{3}-7,794.78\ cm^{3}=386.45\ cm^{3}$

3 0

3 years ago

Read 2 more answers

Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?

attashe74 [19]

Answer:its the second fourth and fifth

Step-by-step explanation: just did it on edge

5 0

3 years ago

Helppp i need answer now will give points

Papessa [141]

Answer:

f(g(3)) = 3

Step-by-step explanation:

We are told to solve for f(g(3)). This is also saying f of g of 3.

To find f(g(3)), we need to plug 3 in for x in g(x), since it says g(3).

g(x) = 3(3) - 4

Solve.

= 9 - 4

g(x) = 5

Now, we plug that into f(x), because g(x) was placed inside f and replaces the x variable of f(x).

f(5) = 2(5) - 7

Solve.

= 10 - 7

f(5) = 3.

f(g(3)) = 3

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243%. X<br> _____= -----<br> 100. 23

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5 over the power if two divide 6 from what you get and that is your answer

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Find the equation of the following graph:

topjm [15]

Answer:

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