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Sergio [31]
3 years ago
7

The Fibonacci sequence was rst discovered during a study of rabbits. If newborn rabbits become adults in one month, each pair of

adult rabbits produces one pair each month, and no rabbits die, then how many pairs of rabbits would be produced after fourteen months?
Mathematics
1 answer:
MAXImum [283]3 years ago
5 0

Answer: <u><em>188 pairs of rabbits would be produced after fourteen months</em></u>

<u><em></em></u>

Given: Newborn rabbits become adults in one month.

Each pair of adult rabbits produces one pair each month.

No rabbits die.

The Fibonacci sequence can be written as :

X_{n} = 0  1  1  2  3  5  8  13  21  34 ..........................

This series can be further written as:

X_{n} = X_{n-1} + X_{n-2}

Therefore for n = 14;

<u><em>X_{14} = 377</em></u>

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1. Fill in the blanks with the proper vocabulary.<br> |5y - 8 = 7v+22
Virty [35]

Answer:

12x+4x-7y+45b+78a-44b+1a+1z+0d+1.1a+1.1a+2+2+2

7 0
3 years ago
A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who
nalin [4]

Answer:

53.57%

Step-by-step explanation:

We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so :

# of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3)!) * 3! / (2! * (3-2)!)

 = 10 * 3 = 30

That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.

# of random groups of 5 = 8C5 = 8! / (5! * (8-5)!) = 56

That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:

P (3 girls and 2 boys) = 30/56 = 0.5357

Which means that the probability is 53.57%

8 0
3 years ago
Carmen is an engineer making plans to run a rail line, represented by the transversal t, through a city.
Lynna [10]

Angle 1 is a "corresponding angle" with respect to the one marked 155°, so it has the same measure. The measure of angle 1 is ...

... 155°

3 0
3 years ago
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Pls help these are fractions btw.
vichka [17]
<h3><u>S</u><u>olution</u></h3>

1). 1/3 + 1/5 = (5 + 3)/15

= 8/15. Ans.

2).

==> 3/5 - 1/6

= (3×5 - 5)/30

= (15 - 5)/30

= 10/30

= 1/3 Ans.

3).

==> 2/3 ÷ 3/4

= 2/3 × 4/3

= 8/9 Ans.

4).

==> 3/8 + 5/12

= (3×3 + 10)/24

= (9+10)/24

= 19/24 Ans.

5).

==> 5/16 - 3/32

= (5×2 - 3)/32

= (10-3)/32

= 7/32 Ans.

6 0
3 years ago
What are the solutions of the equation x4 - 9x2 + 8 = 0? Use u substitution to solve.
Sedbober [7]

Answer:

\large\boxed{B.\ x=\pm1\ and\ x=\pm2\sqrt2}

Step-by-step explanation:

x^4-9x^2+8=0\\\\x^{2\cdot2}-9x^2+8=0\qquad\text{use}\ (a^n)^m=a^{nm}\\\\(x^2)^2-9x^2+8=0\\\\\text{substitute}\ x^2=t\geq0\\\\t^2-9t+8=0\\\\t^2-t-8t+8=0\\\\t(t-1)-8(t-1)=0\\\\(t-1)(t-8)+0\iff t-1=0\ \vee\ t-8=0\\\\t-1=0\qquad\text{add 1 to both sides}\\t=1\geq0\\\\t-8=0\qquad\text{add 8 to both sides}\\t=8\geq0

t=x^2\to x^2=1\ \vee\ x^2=8\\\\x^2=1\Rightarrow x=\pm\sqrt1\to x=\pm1\\\\x^2=8\Rightarrow x=\pm\sqrt8\to x=\pm\sqrt{4\cdot2}\to x=\pm\sqrt4\cdot\sqrt2\to x=\pm2\sqrt2

4 0
3 years ago
Read 2 more answers
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