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solong [7]
3 years ago
15

Anyone know the answer

Mathematics
1 answer:
kykrilka [37]3 years ago
5 0
You would need to change the slope to -6 because perpendicular lines have opposite reciprocal slopes.
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Find the geometric means in the following sequence. –14, ? , ? , ? , ? , –235,298
timama [110]
The answer should be something like 12, 33, 56, 66, 77
6 0
3 years ago
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
Can someone help. Write a word problem about equal groups and act it out to solve
Alona [7]

Answer:

HOPE THAT MAY HELP YOU :)

Step-by-step explanation:

Equal groups are illustrations of using the same variable.

A word problem that uses equal group is:  

Christopher traveled a distance of 5 miles yesterday; he traveled a distance of 4 miles earlier today. Calculate the total distance traveled  

The only condition for equal groups is that:  

The units or variable must be the same  

For instance:

Add 5 miles and 4 miles ----- This represents distance

Remove 2 liters from 7 liters --- This represents volume

Add 5 hours and quarter of an hour -- This represents time

And so on.

5 0
2 years ago
Please help, im confused
elixir [45]
It look like that. 
Diameter = 2 so the radius = 1/2 * diameter = 1in

Volume of the cylinder =  pi r^2 h 

where h = height of the cylinder = 9 in

so volume = pi * 1^2 * 9  =  28.27 in^2  to nearest hundredth
8 0
3 years ago
Which equation describes a line that has a slope of 4/5 and a y- intercept of 2/5
Sindrei [870]

Answer:

Step-by-step explanation:

(0,2\5)

Slope=4\5

X(4\5)=y-2\5

Y=(4\5)x +2\5

5 0
3 years ago
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