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svlad2 [7]
3 years ago
10

Which formula can be used to describe the sequence below? 27,9,3,1,1/3

Mathematics
2 answers:
Gnesinka [82]3 years ago
8 0

Answer:

D. an=3an-1-1/3;a1=27

Step-by-step explanation:

givi [52]3 years ago
5 0
This is a geometric sequence with an initial term of 27 and a common ratio of 1/3

This just means that each term is 1/3 the term preceding it.

Any geometric sequence can be expressed as:

a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number in this case:

a(n)=27(1/3)^(n-1)
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A car rents for ​$35 per day plus 18cents¢ per mile. you are on a daily budget of ​$71. what mileage will allow you to stay with
Butoxors [25]
200 miles
$71-$35=$36 left in budget
$36/.18 per mile= 200 miles
6 0
3 years ago
The measure of an angle is three more than twice its supplement. What is the measure of the angle?
Zinaida [17]

Answer: the angle is 1°+n×120°

1°, 121°, 241°


Step-by-step explanation:

Angles are taken modulo 360°, so 363° = 3°.

Angle plus supplement gives 180°.

Let a be angle, s be supplement of a.

So s = 180-a. Given a = 3 + 2s

a = 3 + 2(180 - a)

a = 3 + 360 - 2a = 363 - 2a


3a = 363° or 3° or 723°

a = 121° or 1° or 241°


a = 1°

s = 179°

2s = 358°

2s+3 = 361° = 1° (modulo 360)


a = 121°

s = 180-121 = 59°

2s = 118°

2s + 3 = 121°, as required.


a = 241°

s = 360+180-241 = 540-241 = 299

2s = 598

2s + 3 = 601 = 241 (modulo 360)


7 0
3 years ago
Can someone please answer B (PICTURE)
Delicious77 [7]

Answer:

The question is asking for the perimeter. There are three ways to answer this depending on the assumptions though so I'll let you choose.

Assumptions are basically the different scenarios

1st scenario being the trim covers the carpet and the tile, they'd need 48m of trim (12+12+4+8+8+4)

2nd scenario in which the trim covers the carpet but not the tiled area, they'd need 44m of trim (12+12+4+8)

3rd scenario where the trim only covers the the tiled area, 4m of trim

(just 4 since the tile only touches 4m of the wall)

Hope this helps!

Step-by-step explanation:

trim is just the perimeter since it covers the base of the wall

7 0
3 years ago
How do I solve part b?
Minchanka [31]

Answer:

x \approx 1.4

Step-by-step explanation:

This problem gives one the following equation to model the graph of a line: (y=x^2-2). The problem asks one to find the value of (x) when (y=0). Rather than using the graph, an easier way to solve this problem is to substitute (0) in for the value of (y) and then solve for (x) using inverse operations.

y=x^2-2\\

Substitute,

0=x^2-2

Inverse operations,

0=x^2-2\\\\2=x^2\\\\\sqrt{2}=x

Round:

x \approx 1.4

As one can see on the graph, this result is very close to the value at which the graph intersects the (x) axis. Thus, one can conclude that (x) does indeed approximately equal (1.4)

6 0
2 years ago
What is the value of the logarithm? ln(52) round the answer to the nearest ten thousandth. Enter your answer in the box.
olya-2409 [2.1K]

After finding out the value of ln (52) and rounding value it to the nearest ten thousandth, we have the value as 3.9512.

Given logarithm function is ln (52).

We have to find out the value of the logarithm by rounding it to the nearest ten thousandth.

The easiest way to do this is to make use of a calculator where we can put the value of natural log.

After putting ln (52) in the calculator, we have

ln (52) = 3.951243719

In order to round the answer of ln (52) to the nearest ten thousandth, we have to first check if the number after the ten thousandth one is greater than 5 or if it is not.

Here, the ten thousandth number is 2. The number after the ten thousandth one is 4 which is less than 5. So, there will be no increase in the ten thousandth number.

Therefore, rounding the value of ln (52) to the nearest ten thousandth, we have the value as 3.9512.

To learn more about rounding values visit brainly.com/question/14200883

#SPJ4

4 0
1 year ago
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