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ASHA 777 [7]
3 years ago
8

What is the maximum sustainable number of black bears for the habitat?

Mathematics
2 answers:
alexdok [17]3 years ago
5 0

The maximum number of black bears sustainable would be around 250 black bears.

Nuetrik [128]3 years ago
5 0

the most amount of bears that can fit is 266

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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
A bag holds 13 marbles. 6 are blue, 2 are green, and 5 are red. you select a marble from the bag. what is the probability that t
navik [9.2K]

Answer:

\boxed {\boxed {\sf B. \ \frac{8}{13} }}

Step-by-step explanation:

Probability is found by dividing the number of favorable outcomes by the total number of outcomes.

P= \frac{favorable \ outcomes}{total \ outcomes}

For this problem, the favorable outcome is selecting a blue or green marble. There are 8 outcomes for this because there are 6 outcomes for blue and 2 fr green.

The total outcomes are all the marbles. Each marble could be an outcome, so there are 13 outcomes (1 for each marble).

P(blue \ or \ green) = \frac{8}{13}

This fraction cannot be reduced, so the probability of selecting a blue or green marble is <u>8/13.</u>

7 0
2 years ago
Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.
butalik [34]

Answer:

x = 6 months.

The equation is given by $45 + ($49.45 × x) = ($56.95 × x).

Step-by-step explanation:

i) Let x be the number of months of Internet Service purchased till the Fast

  Internet charges and Quick Internet charges become the same.

ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)

iii) Charges for Quick Internet for x months is given by ($56.95 × x)

iv) According to the first statement we will now equate the equations in ii)  

   and iii) and solve for x.

   Therefore, $45 + ($49.45 × x) = ($56.95 × x)

                      45 + 49.45 x  =  56.95 x

  Therefore  (56.95 - 49.45) x = 45

                    7.50 × x  =  45

  Therefore x = 45 ÷  7.5 = 6

6 0
3 years ago
Plz help ASAP with the correct answer plz
iren2701 [21]
Taking over his thoughts is the answer
3 0
2 years ago
Read 2 more answers
PLZ HELP
belka [17]

Answer:

425261625

Step-by-step explanation:

1+2-4252+425251-34%+5%

4 0
2 years ago
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