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Harrizon [31]
3 years ago
9

What is the greatest prime you must consider to test whether 7066 is prime?

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
8 0

Answer:

Step-by-step explanation:

The square root of 7066 is 84.0595....

Therefore the largest number we must test is 84, seeing as now we have proven we do not need to test any numbers greater than 84.0595...

That means, we only need to test prime numbers smaller than 84 to see if they go into 7066.

84 isn't prime. But 83 is prime.

Therefore, the greatest prime that needs to be considered for divisibility is 83.

zepelin [54]3 years ago
5 0

Answer:

The numbers 7066 is not prime .

But we easily know when a number is prime when we divide it by the first prime numbers; 2, 3, 5, 7, 11.

Step-by-step explanation:

It is known with certainty that a number is prime when it is only divisible by and by unity.

But in this case, that number, when divided by other numbers less than the one, shows that when dividing into the remainder, it gives zero, which means that it is not only divisible by itself or by the unit, but also by other numbers.

for example; 7066/2=3533 , the remainder is zero;

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Sam colors each tile in a 4 by 4 grid white or black. A coloring is called rotationally
DiKsa [7]

Answer:

  65,280

Step-by-step explanation:

Consider the 4×4 grid ...

  \left[\begin{array}{cc}a&b\\d&c\end{array}\right]

where each of a, b, c, d is a 2×2 array of tiles. Let's use the notation a' to represent the 2×2 array "a" rotated right 1/4 turn. For 90° rotational symmetry, we must have b=a', c=b'=a'', d=c'=b''=a'''. That is, once "a" is determined, the rest of the grid is determined. Since "a" consists of 4 tiles, each of which can be black or white, there are 2^4 = 16 patterns that have 90° rotational symmetry.

The same will be true of 270° rotational symmetry, for the same reason.

__

For 180° rotational symmetry, we must have c=a'' and d=b''. Then the combination of "a" and "b" together fully determines the grid. Together, "a" and "b" consist of 8 tiles, so there are 2^8 = 256 ways to pattern the grid so it will have 180° rotational symmetry. (Of those, 16 have 90° symmetry, and 16 have 270° symmetry. The sets are overlapping.)

__

The 16 tiles of the grid can be colored 2^16 = 65,536 different ways. As we have seen, 256 of those colorings result in 180° rotational symmetry. Then the number of colorings that have no rotational symmetry is ...

  65,536 -256 = 65,280 . . . . colorings not rotationally symmetric

8 0
3 years ago
Lola rolls two fair number cubes. What is the probability that the two numbers Lola rolls include at least one 4 and have a prod
Oxana [17]
Lola rolls two fair number cubes what is the probability that the two numbers Lola rolls include at least one 4 and have product of at least 16? Probably half of a chance
3 0
3 years ago
What are the x-intercepts of the function f(x) = –2x^2 – 3x + 20?
Jet001 [13]

Answer:

(5/2,0) and(-4,0)

Step-by-step explanation:

I hope this helps.

5 0
3 years ago
Dx+hy=j   what does x=
DerKrebs [107]
dx+hy=j\\\\dx=j-hy\ /:d\ \ \ \ and\ \ \ \ d \neq 0\\\\x= \frac{j-hy}{d}
3 0
3 years ago
Read 2 more answers
a quart of milk cost 73 cents. a CASE OF 12 QUARTS COSTS $7.68 . how much is saved per quart by buying the milk by the case
Nikitich [7]
12*$.73=$8.76-$7.68=$1.08 So it is $1.08 cheaper to buy it by the case.

Hope that helps.
5 0
3 years ago
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