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goldenfox [79]
3 years ago
7

Test for origin symmetry: y=x/(x^2+1)

Mathematics
1 answer:
Korolek [52]3 years ago
6 0

y=\dfrac{x}{x^2+1}\\\\ -y=-\dfrac{-x}{(-x)^2+1}\\ -y=\dfrac{x}{x^2+1}\\ y=-\dfrac{x}{x^2+1}


-\dfrac{x}{x^2+1}\not =\dfrac{x}{x^2+1} so it's not symmetrical about the origin.

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Can you guys help me please
Bogdan [553]

The shortest length of fabric, in inches, that Kirk could use to make the tablecloth without putting any separate pieces of fabric together is 30 inches

<h3>How to solve for the shortest length of fabric required to make the table cloth</h3>

<u>Given data</u>

diameter of the table = 3 feet

hang down dimension = 5 inches

sew down dimension = 1 inch

width of rectangular fabric = 60 inches

The question seeks for area of the table cloth, for a circular table area of a circle = pi * r^2

required radius of cloth

= radius of the table + hang down dimension + sew down dimension

= 3 feet / 2 + 5 inches + 1 inch

= 1.5 * 12 inches + 5 inches + 1 inch

= 18 + 5 + 1

= 24 inches

Area of required cloth

= pi * 24^2

= 1809.557 square inches

Area of fabric =  Area of required cloth

length * wide = 1809.557 square inches

length * 60 = 1809.557 square inches

length = 1809.557 / 60 square inches

length = 30.159 inches ≈ 30 inches

Therefore option H which is 30 inches is the answer

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6 0
1 year ago
Alexa borrows $10,000 from her aunt and they agree Alexa will pay her back including 5% simple interest. How much more will Alex
zavuch27 [327]

Answer:

46.73

Step-by-step explanation:

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3 0
3 years ago
Write the equation of the line in slope-intercept form. Explain how you found the slope and the y-intercept.
mafiozo [28]

The equation of the line in slope intercept form is y = - 1 / 2x + 4

<h3>How to write equation in slope intercept form?</h3>

The equation in slope intercept form is represented as follows:

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore,

using the points (2, 3)(0, 4)

m = 4 - 3 / 0 - 2 = 1 / -2 = - 1 / 2

Hence,

b = 4

Therefore, the slope intercept equation of the line is as follows:

y = - 1 / 2x + 4

The y-intercept is value of y when x = 0

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5 0
2 years ago
Matrices of different dimensions can be added together.<br> O True<br> O False
tatyana61 [14]
False they must have the same dimensions
5 0
3 years ago
In a standard deck of cards, P(heart)
g100num [7]
Answer:

13/52 (0.25) (25%)

Explanation:

There are 52 cards in a standard deck and there are four suits.

52/4 = 13

So, the probability (assuming that’s what you are asking for) is a 13/52 chance you will pull a hearts card.
5 0
3 years ago
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