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2 years ago

Prove that if an integer is a perfect square and a perfect cube, simultaneously, then it is either of the form 7k or 7k+1

1 answer:

5 0

If an integer is both a square and a cube, it can be of the form:
(a3)^2
Now,
since a cube can be of the form 7k or 7k+-1(thanks to FoolForMath),
we write
a^3=7k
and get the no to be
49k^2
, which is in the form of 7 times something
49k^2=7×(7k^2)
Now put
a^3=7k+−1 Square it
and you'll get a number in the form of (7times something +1)

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Blababa [14]

Answer:

In 1 ways they may be arranged the line

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2 years ago

20/60+15/60=35/60> What dose it equal

stepladder [879]

Answer:

$\dfrac{7}{12}$

Step-by-step explanation:

1. Find the Greatest Common Factor of the numerator and denominator.

The prime factors of 35 are 5, 7, 35

The prime factors of 60 are 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The only common factor of 35 and 60 is 5.

2. Divide the numerator and denominator by the Greatest Common Factor.

$\dfrac{35}{60} = \mathbf{\dfrac{7}{12}}$

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3 years ago

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Svetlanka [38]

Answer:

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1 year ago

Which of the following is an example of a subjective probability? A. Although College A has never played College B in basketba

AlladinOne [14]

Answer:

The answer is option A.

Step-by-step explanation:

Subjective probability is defined as a probability which is derived from a person's own experience or belief without relying on any data or scientific calculation.

In the question, the situation given in option A is an example of subjective probability because the analyst is giving a probability based on his or her own belief without using any data at all.

The other options clearly state the probability is being calculated by relying on observations and data.

I hope this answer helps.

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2 years ago

Please help need it asap

Marina86 [1]

Answer:

what

Step-by-step explanation:

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2 years ago