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Firdavs [7]
3 years ago
14

Solve the inequality. 1/3a+2<-2

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
5 0
1/3 a + 2 < -2
1/3a < -4
a < -4*3
a < -12 Answer
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98 is what percent of 2487
zloy xaker [14]
98/2487= <span>0.0394049055</span>
3 0
3 years ago
Read 2 more answers
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
9 months ago
HELP I GOTTA TURN THIS IN QUICK
scZoUnD [109]

Answer:

(0, 0), (4, 0), (4, -5)

Step-by-step explanation:

This one keeps the same lengths of the previous triangle. It also keeps the same proportions (or something) etc, etc. I solved this problem by graphing and seeing which one fit best.

8 0
2 years ago
What is 15-5(4x-7)=50
katovenus [111]

Simplifying

15 + -5(4x + -7) = 50


Reorder the terms:

15 + -5(-7 + 4x) = 50

15 + (-7 * -5 + 4x * -5) = 50

15 + (35 + -20x) = 50


Combine like terms: 15 + 35 = 50

50 + -20x = 50


Add '-50' to each side of the equation.

50 + -50 + -20x = 50 + -50


Combine like terms: 50 + -50 = 0

0 + -20x = 50 + -50

-20x = 50 + -50


Combine like terms: 50 + -50 = 0

-20x = 0


Solving

-20x = 0


Solving for variable 'x'.


Move all terms containing x to the left, all other terms to the right.


Divide each side by '-20'.

x = 0.0


Simplifying

x = 0.0

5 0
3 years ago
C
Mariana [72]

9514 1404 393

Answer:

  y = 4x + 16

Step-by-step explanation:

You can replace the point coordinates in the given point-slope form to get ...

  y - 32 = 4(x -4)

Then rearrange to put this into slope-intercept form.

  y = 4x -16 +32 . . . . eliminate parentheses, add 32

  y = 4x +16 . . . . . . . . simplify

8 0
2 years ago
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