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Crazy boy [7]
2 years ago
7

For each $n \in \mathbb{N}$, let $A_n = [n] \times [n]$. Define $B = \bigcup_{n \in \mathbb{N}} A_n$. Does $B = \mathbb{N} \time

s \mathbb{N}$? Either prove that it does, or show why it does not.
Mathematics
1 answer:
andre [41]2 years ago
4 0

Answer:

No, it is not.

Step-by-step explanation:

The set C = \mathbb{N} \times \mathbb{N} contains every ordered pair of Natural numbers, while B only contains those pairs in which both values in each entry are the same. Therefore, C is a bigger set than B, but B is not equal to C because for example C contains [1] \times [2] and B doesnt because 1 is not equal to 2.

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Ussions
ankoles [38]

Answer:

All points on line CD are equidistant from A and B

Step-by-step explanation:

Given that point A is the center of circle A and point B is the center of circle B,  and the circumference of circle A passes through the center of circle B which is point B and vice versa.

Therefore we have;

The radius of circle A = The radius of circle B

Which gives;

The distance of the point C to the center A is equal to the distance of the point C to the center B

Similarly, the distance of the point D to the center A is equal to the distance of the point D to the center B

So also the distances of all points on the line from the center A  is equal to the distances of all points on the line from the center B.

6 0
2 years ago
On the horizontal number line show how you will round 198.78 to the tens place & write the rounded number. Given picture is
harkovskaia [24]
If the three slashes are 190, 195, and 200, we can see it as 
<span>-l----------l--------|--l- with the slightly longer line being around 198.78. Since it is clearly closer to the end of the line than the start of the line, we round it to 200</span>
7 0
3 years ago
Can you please help me
MariettaO [177]

Answer:

you will add the numerator and the denominator and or you look for lowest common factor

6 0
3 years ago
The value of x varies directly with y, and when x= 1/3,y = 12. Write an equation to represent the direct variation.
shtirl [24]

Answer:

Equation: y = 36x

Step-by-step explanation:

The equation that represents a direct variation between variable x and variable y is given as y = kx. Where, k is the constant of proportionality.

Find the value of k given that x = ⅓ and y = 12.

Plug the values into the equation.

y = kx

12 = k\frac{1}{3}

Multiply both sides by 3

12*3 = k*1

36 = k

Substitute the value of k into y = kx

y = 36x

Equation: y = 36x

5 0
2 years ago
Which of the following conditions must be met in order to make a statistical inference about a population based on a sample if t
Sav [38]
N is greater than or equal to 30 would be the condition that must be met in order to make a statistical inference about a population based on a sample if the sample does not come from a normally distributed population.
7 0
2 years ago
Read 2 more answers
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