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3 years ago

What is the average rate of change between: x=1 and x=2 x=2 and x=3 x=3 and x=4

Mathematics

1 answer:

kogti [31]3 years ago

4 0

I’m pretty sure the average rate of change is 1

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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

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

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

3 0

3 years ago

Read 2 more answers

Can somebody please help me

Vinil7 [7]

Answer:

the answer to #9 is (½, 1½)

Step-by-step explanation:

to find the midpoint, you need to use the midpoint formula

the midpoint formula is (x₁ + x₂ / 2 , y₁ + y₂ / 2)

for #9 you have to plug in the appropriate numbers in the formula

(-4 + 5 / 2 , 4 - 1 / 2)

(½ , 1½)

3 0

4 years ago

Please Help asap alot of points

Gnesinka [82]

Answer:

Step-by-step explanation:

3 0

4 years ago

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A total of 333 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student t

andrew11 [14]

222 student tickets
111 adult tickets
That checks out...
2x + x = 333
3x=333
x=111

7 0

3 years ago

Please Help!

Artist 52 [7]

X<4 hope this helped dude

5 0

4 years ago