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Amanda [17]
2 years ago
14

Need help with this

Mathematics
1 answer:
zepelin [54]2 years ago
5 0

Answer:

4.2 is your answer rounded to the nearest tenth.

Step-by-step explanation:

8/17 is equal to 0.470588235294.

In order to make an equivalent fraction with 9 as the denominator, divide 9 by 17 to get 0.529411764705.

Then, multiply 0.529411764705 by 8 to get 4.235294117647.

4.235294117647 is our <em>u</em><em>.</em>

Simplified to the nearest tenth it is 4.2.

we can double check our answer by taking 4.235294117647 divided by 9. You should get 0.470588235294.

Hope this helps!

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Vsevolod [243]

depends on the tension and the length of the rope


4 0
3 years ago
A washer and dryer cost a total of $960. The cost of the washer is three times the cost of the dryer. Find the cost of each item
xeze [42]

Cost of washer: $720

Cost of dryer: $240

I've taken this test before and got it right, so you're good :)

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Calculate the volume of a rectangular prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm. (As before, you
maria [59]

Answer:

85.932 cm³

Step-by-step explanation:

The volume of rectangular prism is obtained as the product of its length (l) by its width (w) and by its height (h):

V=l*w*h

The volume of a prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm is:

V=4.4*3.1*6.3\\V=85.932\ cm^3

The volume of this prism is 85.932 cm³.

4 0
3 years ago
Prove that u(n) is a group under the operation of multiplication modulo n.
katrin2010 [14]

Answer:

The answer is the proof so it is long.

The question doesn't define u(n), but it's not hard to guess.


Group G with operation ∘

For all a and b and c in G:

1) identity: e ∈ G, e∘a = a∘e = a,

2) inverse: a' ∈ G, a∘a' = a'∘a = e,

3) closed: a∘b ∈ G,

4) associative: (a∘b)∘c = a∘(b∘c),

5) (optional) commutative: a∘b = b∘a.


Define group u(n) for n prime is the set of integers 0 < i < n with operation multiplication modulo n.


If n isn't prime, we exclude from the group all integers which share factors with n.


Identity: e = 1. Clearly 1∘a = a∘1 = a. (a is already < n).


Closed: u(n) is closed for n prime. We must show that for all a, b ∈ u(n), the integer product ab is not divisible by n, so that ab ≢ 0 (mod n). Since n is prime, ab ≠ n. Since a < n, b < n, no factors of ab can equal prime n. (If n isn't prime, we already excluded from u(n) all integers sharing factors with n).


Inverse: for all a ∈ u(n), there is a' ∈ u(n) with a∘a' = 1. To find a', we apply Euclid's algorithm and write 1 as a linear combination of n and a. The coefficient of a is a' < n.


Associative and Commutative:

(a∘b)∘c = a∘(b∘c) because (ab)c = a(bc)

a∘b = b∘a because ab = ba.


5 0
2 years ago
Read 2 more answers
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Step-by-step explanation:

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