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Ivanshal [37]
3 years ago
14

It takes owen four minutes to eat eight carrot stick.How long does it take him to eat one

Mathematics
2 answers:
tankabanditka [31]3 years ago
6 0
It takes owen 1 min to eat 2 carrot sticks
laila [671]3 years ago
4 0
It takes Owen 2 minutes to eat 1 carrot stick
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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
#9. Find the slope of the line in the graph.
jekas [21]
The answer to this problem is -2/2
7 0
2 years ago
Write an inequality relating NM and NL-<br> NM &lt; NL<br> NM&lt;_ NL<br> NM &gt; NL<br> NM&gt;_ NL
spayn [35]

Answer:

NM > LN

Step-by-step explanation:

Here, we want to write an inequality

we should beat it in mind that, the greater the angle that a side of a triangle faces, the greater its length will be relatively

as we can see, the side NM faces the greater angle of 83, relative to the side LN that faces the angle of 56;

So we can conclude that;

NM > LN

6 0
3 years ago
Read 2 more answers
Joey invest $900 at 4% simple interest for 2 years but he wants to know how much money he will have after only 18 months. Determ
malfutka [58]
Well, bearing in mind that, a year has 12 months, so 18 months is really just 18/12 of a year, or 3/2 a year, then

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3 years ago
A graduated cylinder actually contains 7.5 mm of water 1/2 measures the volume of the water inside the graduated cylinder is mea
Verdich [7]

Answer:

6.667%

Step-by-step explanation:

Given that:

Actual measurement = 7.5 mm

Measured value = 7 mm

Percentage error :

Error / (Actual measurement.) * 100%

(Actual measurement - measured value)

Error = 7.5 - 7 = 0.5 mm

Percentage error = (0.5 / 7.5) * 100%

Percentage error = 0.0666666 * 100%

= 6.667%

7 0
3 years ago
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