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gizmo_the_mogwai [7]
4 years ago
5

What is 0.0000057 written in scientific notation?

Mathematics
1 answer:
Verizon [17]4 years ago
5 0
5,7x6 th power of 10
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A rectangular box has three of its faces on the coordinate planes and one vertex in the first octant on the paraboloid z=100−x2−
LuckyWell [14K]

The volume as a function of the location of that vertex is

... v(x, y, z) = x·y·z = x·y·(100-x²-y²)


This function is symmetrical in x and y, so will be a maximum when x=y. That is, you wish to maximize the function

... v(x) = x²(100 -2x²) = 2x²(50-x²)


This is a quadratic in x² that has zeros at x²=0 and x²=50. It will have a maximum halfway between those zeros, at x²=25. That maximum volume is

... v(5) = 2·25·(50-25) = 1250


The maximum volume of the box is 1250 cubic units.

7 0
3 years ago
What is the length of the red line segment on the number line?
Marianna [84]

Step-by-step explanation:

I think it's D 1 1/2......

8 0
3 years ago
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I’ll give you the crown and a lot of points please help with all of them
stiks02 [169]

Answer:

5) a

6) a

7) b

8) d

9) a

10) b

11) c

12) a

Step-by-step explanation:

When it asks for range it is asking for the y values so when you plug in numbers such as 0,1,2 into the equation the y values you get are {0,90,180..}

Overall slope can be found by taking the x and y values of the two given points.

((y value of the second point)-(y value of the first point))/((x value of the second point)-(x value of the first point))

Using (1,2) and (-2, 5) you can do this by plugin in the numbers (5-2)/(-2-1)

So the slope will be 3/-3 = -1

Once you find the slope you can use this to find the equation of a line by pluging in values into y=mx + b

m = slope

y = use this from the points given

x = use this from the points given

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3 years ago
A cube has a volume of 64 cubic meters what is the length of each edge
Murljashka [212]

Answer:

The length of each side is 4 m

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

64 = s^3

Take the cube root of each side

64 ^ (1/3) = s^3 ^ (1/3)

4 = s

The length of each side is 4 m

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3 years ago
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I’ll give BRAINLIEST if right
konstantin123 [22]

Answer:

y = -2x - 3

Step-by-step explanation:

5 0
3 years ago
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