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Dafna1 [17]
3 years ago
11

Write this statement in your own words: ∃x ∈ ℕ, y ∈ ℤ|x² = y² Rewrite this using the appropriate mathematical notation: Even num

bers are in the set of integers.
Mathematics
1 answer:
Serga [27]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

1)

So we have:

\exists x\in\mathbb{N},y\in\mathbb{Z}|x^2=y^2

This can be interpreted as:

"There exists a natural number <em>x</em> and an integer <em>y</em> such that x² is equal to y²."

2)

So we want even numbers are in the set of integers.

\{2n:n\in\mathbb{Z}\}\in\mathbb{Z}

This is interpreted as:

"The set of even numbers (2n such that n is an integer) is in the set of integers"

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The formula for the volume of a cube is V = s3.

What is the side length of a cube with a volume of 27 M^{3}


Answer:

<h2>3m</h2>

Step-by-step explanation:

V=l³

you use the inverse formula

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l = 3m


4 0
3 years ago
Find the slope of a line parallel to each given line. <br> 5)2x+3y=-3
Volgvan

Answer:

-2/3

Step-by-step explanation:

2x + 3y = - 3      re-arrange to y = mx+b form: slope of this line will be 'm'

y = -2/3 x -1        slope = -2/3     parallel slope is the same

7 0
1 year ago
16) The manager of a bulk foods establishment sells a trail mix for $8 per
zaharov [31]

Answer:

The amount of peanuts to use is 5 pounds and that of cashews is 30 pounds.

Step-by-step explanation:

Let the amount of peanut to use to be x

Let the amount of cashews to use to be 35-x

Form equations to compare amounts for individual foods and the mixture

8x+15(35-x)=35(14)\\\\8x+525-15x=490\\\\7x=35\\\\x=5\\\\

So the pounds to be used for peanuts is 5 pounds

The pounds to be used for cashews will be 35-x= 35-5=30 pounds

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5 0
3 years ago
Solve for x:<br> - 3x – 9= - 1
rewona [7]
X = -8/3




Djchbcdsndosndh
5 0
3 years ago
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if a line with an angle of inclination 120⁰ and passes trough (√3,1),then what is the equation of a line​
yawa3891 [41]

Answer:

The equation of a line, having inclination 120° with positive direction of x-axis, .of x-axis, which is at a distance of 3 units from the origin is​. 1. See answer ... where α is the angle with the positive X-axis, made by the perpendicular line drawn Now, from equation  the equation of the straight line will be.

Step-by-step explanation:

5 0
3 years ago
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