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Anika [276]
3 years ago
9

Can you determine the solution of the |4x−2|≥−6 without solving?

Mathematics
1 answer:
Gelneren [198K]3 years ago
3 0

Answer:

|4x-2|">"-6

add 2 to both sides

4x">"-4

divide both sides by 4

x">"-1

the ">" means greater than or equal to, I just don't have that character on my keyboard

Step-by-step explanation:

so the answer is x is greater than or equal to -1

IN: (-∞,-1]

for number line: You would write the number line from -1-10  

then, you would put  a closed dot on negative one, with an arrow going to the right!

Hope this helped! <3

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I will give lot of points please help
zheka24 [161]

Answer:

V = 43323 mm³

(second answer is already correct)

Step-by-step explanation:

these pennies make up the shape of a cylinder, so, we can solve this question by solving for the volume of a cylinder.

the volume of a cylinder can be found with the formula:

V = πr²h

(V = volume ; π = pi ; r = radius ; h = height)

We know the diameter of this cylinder is 19.05 mm. Diameter is two times the length of the radius, (diameter is all the way across, radius is from center to outer / halfway across) meaning that we can find the radius by dividing 19.05 by 2.

diameter = 19.05

radius = 19.05 / 2 = 9.525

so, r = 9.525

we also are given the height of this cylinder, 38 mm

so, h = 38

π = 3.14159 (π is a constant)

plugging our measurements into the volume formula:

 V = πr²h

V = (3.14159)(9.525²)(38)

V =  (3.14159)(362.9025)(38)

V = 43323.4894628

[rounded to V = 43323 mm³]

And yes, the volume is not affected by a change in shape. (you are correct)

hope this helps!!

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