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Ymorist [56]
2 years ago
9

What is the ninth term of the geometric sequence 81, 27, 9, 3, ... ?

Mathematics
2 answers:
Dominik [7]2 years ago
8 0

Answer:

59049

Step-by-step explanation:

I calculated it and got 59049

lbvjy [14]2 years ago
5 0
I may be wrong but 1/9? i don’t think there’s anything else you can do with the sequence .. if i’m incorrect , i’m sorry
You might be interested in
Write the slip-intercept form of the equation of the line described
kompoz [17]

Answer:

1) y=⅚x -2⅓

2) y=8/3x -5

Step-by-step explanation:

<u>Point-slope form:</u>

y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Gradient of given line= \frac{5}{6}

Thus, m=⅚

Susbt. m=⅚ into the equation,

y= ⅚x +c

Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.

When x=4, y=1,

1= ⅚(4) +c

1 =  \frac{20}{6}  + c \\ c = 1 -  \frac{20}{6}  \\ c = 1 - 3 \frac{1}{3}  \\ c =  - 2 \frac{1}{3}

Thus the equation of the line is y =  \frac{5}{6} x - 2 \frac{1}{3}.

The gradients of perpendicular lines= -1.

Gradient of given line= -⅜

-⅜(gradient of line)= -1

gradient of line

= -1 ÷ (-⅜)

= -1 ×(-8/3)

= \frac{8}{3}

y =  \frac{8}{3} x + c

When x=3, y=3,

3 =  \frac{8}{3} (3) + c \\ 3 = 8 + c \\ c = 3 - 8 \\ c =  - 5

Thus the equation of the line is y =  \frac{8}{3} x - 5.

4 0
3 years ago
Identify the solution set of each equation or inequality using the given replacement set
-BARSIC- [3]
I believe the answer is C
8 0
3 years ago
Solve this problem please :)
zvonat [6]
The Answer is B 8/3 :)
4 0
2 years ago
Please help asap!!!!
Y_Kistochka [10]
The large rectangle is 3 times 6 but theres two so its 2 x 3 x 6

the medium rectangle is 2 times 6 but again there is two so  2 x 2 x 6

the small rectangle is 2 times 3 and once more there is two so 2 x 2 x 3

7 0
3 years ago
In 1992, the countries Chad and Denmark each had population of about 5.2 million. However,
irinina [24]

9514 1404 393

Answer:

  5,339,479

Step-by-step explanation:

The populations in millions of the different countries can be represented by the equations ...

  c = 5.2(1.025^t)

  d = 5.2(1.001^t)

We want to find d when c = 10. Solving for t when c=10, we have ...

  10 = 5.2(1.025^t)

  10/5.2 = 1.025^t

  log(10/5.2) = t×log(1.025)

  t = log(10/5.2)/log(1.025)

Then the value of d for that value of t is ...

  d = 5.2(1.001^(log(10/5.2)/log(1.025)) ≈ 5.3394789

The population of Denmark is about 5,339,479 when the population of Chad is 10 million.

_____

If we round the number of years to 26.5 before computing the population of Denmark, we get 5,339,571 -- about 92 more people. Ordinarily, one would not round intermediate results.

3 0
3 years ago
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