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Eddi Din [679]
3 years ago
14

Find the common ratio for the following sequence. 0.1, 0.01, 0.001, ... 0.01 0.1 0.001

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Answer:

\frac{1}{10}

Step-by-step explanation:

a_1 = 0.1\\a_2 = 0.01\\a_3 = 0.001

r = \frac{a_2}{a_1}

r = \frac{0.01}{0.1}

r=0.1

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Hi I really need help with this assignment plz
brilliants [131]

the first option is the correct one


6 0
3 years ago
Read 2 more answers
The product of two consecutive integers is equal to 14 more than 4 times the sum. This can be simplified to x²-7x-18=0. What are
WITCHER [35]

Answer:

-1 and -2, or 9 and 10

Step-by-step explanation:

If x is the smaller integer:

x (x + 1) = 14 + 4 (x + x + 1)

x² + x = 14 + 4 (2x + 1)

x² + x = 14 + 8x + 4

x² − 7x − 18 = 0

Factor using AC method:

(x − 9) (x + 2) = 0

x = -2 or 9

x is the smaller integer, so the larger integers are -1 and 10.  Check each pair of solutions.

-1 and -2:

(-2) (-1) = 14 + 4 (-2 + -1)

2 = 14 + 4 (-3)

2 = 2

9 and 10:

(9) (10) = 14 + 4 (9 + 10)

90 = 14 + 4 (19)

90 = 90

Both solutions work.

7 0
3 years ago
1. Describe the impromptu speech. What are its major features?
Fantom [35]

Answer: Down Below

Step-by-step explanation:

1. An impromptu speech, by definition, is the one that a speaker delivers without any prior preparation on the topic. Impromptu, itself, means “doing something without preparation”. In declamation contests, a random topic is fired at the speaker on the spot, and the speaker gets just a few seconds to think over the topic.

2. Lack of Gestures. The most common problem with public speakers is the statue like position, which they assume on the stage.

Lack of Energy.

No Rapport with Audience.

Use of Notes.

No Eye Contact.

Disrespect for Fellow Speakers.

Rushing with Words

3. Florida Strawberry Festival

The Florida Strawberry Festival is an 11-day community event celebrating the strawberry harvest of Eastern Hillsborough County. Each year, over 500,000 visitors enjoy the festival's headline entertainment, youth livestock shows, rides, exhibits of commerce and, of course, its strawberry shortcake.

4. Done without being planned, organised, or rehearsed.

5. What makes impromptu speech different from an extemporaneous speech?

The difference is in the delivery method: the impromptu speech is generated instantly and delivered immediately; whereas, the extemporaneous speech is delivered using just a few notes.

4 0
3 years ago
Really struggling with this, can someone please help me out and give me a brief explanation? Id seriously appreciate it.
Bogdan [553]

Answer:

314 m²

Step-by-step explanation:

the surface area of a sphere (As) is

As = 4×pi×r²

our radius r (half of the diameter) here is 5m.

As = 4×3.14×5² = 4×3.14×25 = 100×3.14 = 314 m²

8 0
3 years ago
The product of 6 and the sum of 3 times a number n and 5
olga nikolaevna [1]

Answer:

Step-by-step explanation:

6 (3n+5)

use the distributive property

18n+35

5 0
4 years ago
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