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KIM [24]
3 years ago
14

What is the slope for number 4?

Mathematics
1 answer:
Anton [14]3 years ago
4 0

Answer: -10/7

Step-by-step explanation:

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a cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. the material for the sides of the can costs
fredd [130]

The dimensions of the can are radius of can = 4cm and

height of can = 78.6cm

What is the volume of cylinder?

A cylinder can be seen as a collection of multiple congruent disks, stacked one above the other. In order to calculate the space occupied by a cylinder, we calculate the space occupied by each disk and then add them up.

Thus, the volume of the cylinder can be given by the product of the area of base and height.

Volume of cylinder = πr²h

According to the given question:

We have V cylinder = V = 400cc

We will first find the areas involved

Let x = radius of base then area of the base =  π*x² and this is the area of the top too

For lateral area we need to get h the height of the cylinder as function of x

V = πx²h   ⇒  h= v/πx²    ⇒   h = 400/πx²

Now the total area of the cylinder is:

A(x) = Area of the base + area of the top + lateral area

A(x) = 2*π*x² + 2πx h ⇒  A(x) =  2*π*x² + 2πx (V/πx² )

A(x) =  2*π*x² + 800/x

Taking derivatives:

A´(x)  =  4πx  - 800/x²

A´(x) = 0                4πx  - 800/x² =0     ⇒ πx - 200/x² = 0

( πx³  -  200 )/ x²  = 0      

πx³  -  200 = 0      

x = 4 cm

and h = 400/πx²    ⇒  h = 78.6 cm

To know more about volume of cylinder visit

brainly.com/question/24337953

#SPJ4

3 0
11 months ago
If × = 2,y =-6 and z =4.Find the value of 4z + 2y-x.​
serg [7]

Answer:

The answer is 2

Step-by-step explanation:

4z+2y-x

4(4)+2(-6)-2

16+(-12)-2

16-12-2

4-2

2

8 0
3 years ago
Read 2 more answers
Is this a piecewise graph function? Check using vertical line test. <br> HELP!
IRINA_888 [86]
The answer is- Yes, the piecewise graph is a function because it passes the vertical line test.


Hope that helped!!!
8 0
3 years ago
WILL GIVE BRAINIEST TO THE PERSON THAT ANSWERS ALL THREE QUESTIONS ASAP!
Radda [10]

Answer:

1. Your answer would be C) 2√3-5√2.

2. Your answer would be -39.7i.

3. Your answer would be -1.

Step-by-step explanation:

8 0
3 years ago
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The division sign and the capital letter "T", is there any rotational symmetry and how so?
kirill115 [55]

Answer:

Rotational symmetry 1

Step-by-step explanation:

You will get only one rotational symmetry when you turn 360

5 0
3 years ago
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