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bulgar [2K]
3 years ago
13

You are walking directly away from your house. You are 5 miles away from your house when you start walking, so you can determine

your distance by adding 5 to the number of miles you have walked. In the equation below, X represents the number of miles you have walked, and Y represents your distance from home in miles.
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
6 0

Answer:

The independent variable is the number of miles you walked.

Unfortunately, I do not know the dependant variable.

Step-by-step explanation:

so do it urself. :)

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Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of t
MariettaO [177]

Answer:

The width of the box is 6.7 cm

The maximum volume is 148.1 cm³

Step-by-step explanation:

The given parameters of the box Jorge is asked to build are;

The maximum girth of the box = 20 cm

The nature of the sides of the box = 2 square sides and 4 rectangular sides

The side length of square side of the box = w

The length of the rectangular side of the box = l

Therefore, we have;

The girth = 2·w + 2·l = 20 cm

∴ w + l = 20/2 = 10

w + l = 10

l = 10 - w

The volume of the box, V = Area of square side × Length of rectangular side

∴ V = w × w × l = w × w × (10 - w)

V = 10·w² - w³

At the maximum volume, we have;

dV/dw = d(10·w² - w³)/dw = 0

∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0

2×10·w - 3·w² = 20·w - 3·w² = 0

20·w - 3·w² = 0 at the maximum volume

w·(20 - 3·w) = 0

∴ w = 0 or w = 20/3 = 6.\overline 6

Given that 6.\overline 6 > 0, we have;

At the maximum volume, the width of the block, w = 6.\overline 6 cm ≈ 6.7 cm

The maximum volume, V_{max}, is therefore given when w = 6.\overline 6 cm = 20/3 cm  as follows;

V = 10·w² - w³

V_{max} = 10·(20/3)² - (20/3)³ = 4000/27 = 148.\overline {148}

The maximum volume, V_{max} = 148.\overline {148} cm³ ≈ 148.1 cm³

Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)

The width of the box is;

6.7 cm

The maximum volume is;

148.1 cm³

5 0
3 years ago
Blake has 864 square inches of material with which to create a hollow three-dimensional container. He decides to make either a c
leonid [27]

Answer:

I think it's a cube, because the cube has bigger spaces because of the edges, but I don't know how much...

4 0
2 years ago
What is the ratio between 5 footballs and 9 baseballs
____ [38]

Answer:

5:9

Step-by-step explanation:

It's just a way to set up ratios. Whichever number is said first gets put down first, then the number after gets put after.

So, 5:9

Or, you could write it as 5 footballs to 9 baseballs.

This is just my simple understanding of what you're asking since you asked what the ratio is.

Hope I helped!

7 0
3 years ago
How can you determine which of two lines will be steeper from
Romashka-Z-Leto [24]
Well on a table of data, if the y coordinates increase a lot over a short x distance then it will be steep.

In an equation, you would put it into y = mx + b form and whatever your m is will be your slope. If m is large, it will be steep.
8 0
3 years ago
at the dog show there are 4 times as many boxers as spaniel if there is a total of 30 dogs. how many dogs are spaniel
alexgriva [62]

4x+x = 30

5x = 30

x = 30/5 =6

 6*4 = 24 boxers

 and 6 spaniels

5 0
3 years ago
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