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Harman [31]
3 years ago
10

How do you find out if a equation is in repeating decimal form

Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0
<span>A repeating or recurring decimal is a way of representing rational numbers in base 10 arithmetic. The decimal representation of a number is said to be repeating if it becomes periodic </span>
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Prove that there are infinitely many primes of the form 4k + 3, where k is a non-negative integer. [Hint: Suppose that there are
Simora [160]

Answer:

The prove is as given below

Step-by-step explanation:

Suppose there are only finitely many primes of the form 4k + 3, say {p1, . . . , pk}. Let P denote their product.

Suppose k is even. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).

ThenP + 2 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 2 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠2. This is a contradiction.

Suppose k is odd. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).

Then P + 4 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 4 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠4. This is a contradiction.

So this indicates that there are infinite prime numbers of the form 4k+3.

6 0
3 years ago
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How do I solve quadratic using the quadratic formula
Irina18 [472]

for example if you have 3x^2+2x-1 then a=3 b=2 and c=-1 you plug those into the formula and solve to get the formula just look it up and go to images

3 0
3 years ago
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Find the area of the shape shown below.<br> 3.5,2,2,2,2,5
natta225 [31]

Answer:

26.75

Step-by-step explanation:

It is 26.75 because if you split the traingle in half from the bottom to the top you look to find the area of each shape, so the sqaure has a measure of 2 by 2 so that is four then the smaller triangle has a measure of 2 by 2 but the formula for triangles are length times height divided by 2 and the area for that is 2. Then the other smaller triangle is 5 * 2 which is 10 then divide it by 2 so it is 5 so all together it is 9. then the area of the biggest triangle is 15.75

4 0
3 years ago
Is 12/17 equivalent to 10/15 in ratio form
serg [7]

Answer: yes

Step-by-step explanation: Joshua

5 0
2 years ago
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Drupady [299]

Answer:

6

Step-by-step explanation:

f(6) = -6   this is the value when the x value is 6

g(5) = -5 this is the value when the x value is 5

4 * f(6) -6*g(5)

4*-6 - 6* -5

-24 + 30

6

5 0
3 years ago
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