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Rom4ik [11]
3 years ago
5

What is the sixth number in the Fibonacci sequence with the first two numbers 1 and 4?

Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:

23

Step-by-step explanation:

1 + 4 = 5 so we get 1 4 5

then 4+5 = 9, 1 4 5 9

5+9 = 14, 1 4 5 9 14

9+14 = 23, so

1 4 5 9 14 23

23 is the 6th number in this sequence

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I have 3 green cubes, 4 red cubes, 2 black cubes, and 6 yellow cubes. What is the probability that I will randomly choose a blac
Strike441 [17]

Answer:

4/75 or 0.05333

Step-by-step explanation:

3+4+2+6=15 elements

2/15= probability to choose a black

6/15 = probability to choose a yellow cube

Probability to choose a black AND (*) a yellow = 2/15*6/15=12/225=4/75 or 0.05333

6 0
2 years ago
Simplify the expression \[\frac{6}{\sqrt{36} + \sqrt{27}} + \frac{6}{\sqrt{27} + \sqrt{18}} + \frac{6}{\sqrt{18} + \sqrt{9}}.\]
Viktor [21]

Answer:

= 18 ( 3 + 2(\sqrt{3}  + \sqrt{2} ))

Step-by-step explanation:

6(\sqrt{36} +\sqrt{27}) + 6(\sqrt{27} +\sqrt{18}) + 6(\sqrt{18} + \sqrt{9} )\\= 6( {6} +\sqrt{9*3}) + 6( \sqrt{9*3}  +\sqrt{9*2}) + 6(\sqrt{9*2} + 3 )\\= 6( {6} +3\sqrt{3}) + 6(3\sqrt{3} +3\sqrt{2}) + 6(3\sqrt{2} + 3 )\\=36 + 18\sqrt{3} + 18\sqrt{3} + 18\sqrt{2}+ 18\sqrt{2} + 18\\= 36+18  +18( \sqrt{3}+ \sqrt{3} +\sqrt{2} + \sqrt{2})\\= 54 + 18 (2\sqrt{3} +2\sqrt{2})\\=54 + 36\sqrt{3}  + 36\sqrt{2}\\= 18 ( 3 + 2(\sqrt{3}  + \sqrt{2} ))

7 0
3 years ago
Simplify the problem pleaseee
ladessa [460]

Answer:

16x²+6x+3

Step-by-step explanation:

x²+6x+3(5x²-4)+15

x²+6x+15x²-12 +15

16x²+6x+3

8 0
2 years ago
Cottage cheese is being sold in different size containers. The sizes and prices are given below: 4 - 5 ounce containers for $5.
Karolina [17]

Division is the process of finding the number of times a number is multiplied by itself. The 16-ounce container is the better buy.

<h3>What is Division?</h3>

The division is the process of finding the number of times a number is multiplied by itself.

The prices of the different size containers are given to us,

4-5 ounce containers for $5. 00

1-12 ounce container for $3. 24

1-16 ounce container for $4. 19

Now, find the cost of the cheese per ounce when we buy the minimum cheese and when we but the maximum amount of cheese.

1.   For the first Container, 4-5 ounce containers for $5.00

If we buy 4 ounces of cheese, then the cost of each ounce of cheese will be $1.25 for each ounce, while if we buy the maximum amount of cheese therefore 5 ounces for $5 then the cost of each ounce of cheese will be $1.

2.  For, the second container, 1-12 ounce container for $3.24

If we buy 1 ounce of cheese, then the cost of each ounce of cheese will be $3.24 for each ounce, while if we buy the maximum amount of cheese therefore 5 ounces for $5 then the cost of each ounce of cheese will be $0.27.

3.  For, the third container, 1-16 ounce container for $4.19.

If we buy 1 ounce of cheese, then the cost of each ounce of cheese will be $4.19 for each ounce, while if we buy the maximum amount of cheese therefore 16 ounces for $4.19 then the cost of each ounce of cheese will be $0.26.

Thus, if we buy the maximum amount of cheese from each of the boxes, the third box will be the cheapest.

Hence, The 16-ounce container is the better buy.

Learn more about Division:

brainly.com/question/369266

3 0
2 years ago
1985 x 99 I already know the answer: 196515
liubo4ka [24]

Answer:

196515

Step-by-step explanation:

8 0
2 years ago
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