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Margarita [4]
3 years ago
5

What is the sequence? 243, 81, 27, 9, 3, 1

Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0

9514 1404 393

Answer:

  an = 243·(1/3)^(n-1) = 3^(6-n)

Step-by-step explanation:

This geometric sequence has a first term of a1=243 and a common ratio of r = 81/243 = 1/3. The general term for it is ...

  an = a1·r^(n-1)

  an = 243·(1/3)^(n-1)

Making use of the rules of exponents, this can be simplified to ...

  an = 3^5·(3^-1)^(n-1) = 3^(5-n+1)

  an = 3^(6-n)

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A video game randomly chooses your car color and type. The probability of getting a red car is 0.20, and the probability of gett
pishuonlain [190]

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Event A: You get a red car

and

P(A)=0.20

Similarly,

Event B: You get a convertible

and

P(B)=0.40

So, if A and B are independent , then they must satisfy,

P(A).P(B)=P(A\cap B)

So,

P(A\cap B)=0.4\times 0.2=0.08

Hence, Option 'D' is correct, which states that the probability of getting a red convertible is 0.08.

7 0
3 years ago
A board is 29ft long. The second piece is 4 times longer than the first. The third piece is 3 times longer than the second. What
Nady [450]

Answer:

Length of first piece = 1.7058823 ft

Length of second piece = 4(1.7058823) = 6.82352941 ft

Length of third piece = 12(1.7058823) = 20.47058823 ft

Step-by-step explanation:

As given, Total length of the board = 29 ft

Let the board is divided into 3 pieces

Suppose that the length of first piece = x ft

As given, the second piece is 4 times longer than the first

⇒Length of second piece = 4x ft

Also given, the third piece is 3 times longer than the second.

⇒Length of third piece = 3(4x) = 12x ft

Now,

As total length of board = 29

⇒ x + 4x + 12x = 29

⇒ 17x = 29

⇒ x = \frac{29}{17} = 1.7058823 ft

∴ we get

Length of first piece = 1.7058823 ft

Length of second piece = 4(1.7058823) = 6.82352941 ft

Length of third piece = 12(1.7058823) = 20.47058823 ft

5 0
3 years ago
Plzzzzzzzzzzzzzz answer
Aleksandr-060686 [28]
If the amount of weeks is w, then -1.5w is the amount of hair cut off due to that she subtracts 1.5 from her hair every week. Therefore, since the base amount is 11.5, we have to add that to the expression to get 11-1.5w
6 0
4 years ago
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!
NARA [144]

Answer:

2261,9 cm³

Step-by-step explanation:

First, you need to find the area of the base:

A=\pi r^2

A=36\pi cm²

Now let's multiply it for the height:

36π cm² × 20 cm = 720π cm³

= 2261,9 cm³

5 0
3 years ago
You have $9000 with which to build a rectangular enclosure with fencing. The fencing material costs $30 per meter. You also want
antoniya [11.8K]

Answer:i explained it

Step-by-step explanation:

The total cost of the fence will be 30(2L + 2W) + 2*25 W <= 9000

60L + 110W <= 9000

60 L <= 9000 - 110W

L <= 150 - 11/6 W

For a given width, the maximum area will correspond to the maximum length, so we can just go ahead and say L = 150 - 11/6 W

A = LW = (150 - 11/6 W) W

A = 150 W - 11/6 W2

A' = 150 - 11/3 W = 0

150 = 11/3 W

W = 450/11

8 0
4 years ago
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