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Crazy boy [7]
3 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]3 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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What's (7 x 100) + (4 x /100) + (8 x 1/1000) in standard form?
IceJOKER [234]

Answer:

(7*100) can be written as 7*10^2

4 * / 100 i don’t know

if it was 4 * 100 then it’s 4*10^2

if it was divided then it’s 4*10^-2

8* 1/1000 = 8/1000 = 8*10^-3

add together to get 1.100008 * 10^3 (if it was 4*100)

or 7.00048 * 10^2 ( if it was 4/100)

7 0
3 years ago
PLease help me dont answer if u dont know
sdas [7]

Answer:

a_n=-8+(n-1)-7

Step-by-step explanation:

General arithmetic sequence formula: a_n=a_1+(n-1)d

where a_1 = first term, and d = common difference.

The first term is -8

And the common difference appears to be - 7 as 7 is subtracted to get to the next term. Ex. -8 - 7 = -15, -15 - 7 = - 22 and so on.

To get the explicit formula of the sequence we simply plug in the values of a1 and d the general arithmetic sequence formula

General formula: a_n=a_1+(n-1)d

We have a_1=-8 and d = -7

So the formula to find the nth term would be

a_n=-8+(n-1)-7

4 0
2 years ago
Read 2 more answers
You stand at point C and look at an aquarium tank. Calculate the radius of the aquarium tank.
leonid [27]

Answer:

The radius of the aquarium tank is 8.25\ ft

Step-by-step explanation:

we know that

Applying the Tangent Secant Theorem

DC^{2}=AC*8

we have that

AC=(D+8)\ ft

DC=14\ ft

substitute

14^{2}=(D+8)*8

196=8D+64

Solve for D

8D=196-64

8D=132

D=16.5\ ft

Find the radius

The radius is half the diameter

r=16.5/2=8.25\ ft

3 0
3 years ago
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ExtremeBDS [4]
The answer is 1 i think
7 0
3 years ago
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How do you find the x-intercepts if given the following polynomial in factored form?
elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

You know the intercepts occur at x = 0, so set each part of the factored form equal to zero and solve for x.

The first part, plain X = 0, so X = 0 is a root, an x-intercept

The second part (X-2)^2 = 0, so X = 2 is another root. Since the function is being squared, this root will happen twice. The function crosses this root twice.

The third part (x+4) = 0, so x = -4 is another root.

Finally, (x+1) so x = -1 is another root.

So you have X = 0, X = 2, X = -4, X = -1 as your x-intercepts

3 0
3 years ago
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