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3 years ago

There are 10 decimeters in every meter. If a piece of fabric is 32 decimeters long, how long is it when measured in meters?

Mathematics

1 answer:

lara31 [8.8K]3 years ago

8 0

10 dm = 1 m
32 dm = 32/10 = 3.2 m
Answer: 3.2 m

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Find the oth term of the geometric sequence 7, 14, 28, ...

yaroslaw [1]

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

where a₁ is the first term and r is the common ratio

Computing the ratios of all the adjacent terms

$\frac{14}{7}=2,\:\quad \frac{28}{14}=2$

The ratio of all the adjacent terms is the same and equal to

$r=2$

now substituting r = 2 and a₁ = 7 in the nth term

$a_n=a_1\cdot r^{n-1}$

$a_n=7\cdot \:2^{n-1}$

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

6 0

2 years ago

5/8 of 10 liters please :)

Finger [1]

Answer:

6.25liters

Step-by-step explanation:

5/8 × 10

Lcm is 8

5×10/8

50/8

6.25

So 5/8 of 10liters is

6.25liters

4 0

3 years ago

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What is the expression equivalent to 64 - x^2

Murrr4er [49]

Answer: -(x+8)(x-8)

Step-by-step explanation:

-(x^2-64)

x^2-8^2x^2

x^2-8^2=(x+8)(x-8)

-(x+8)(x-8)

8 0

3 years ago

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Alex73 [517]

Answer:

9/2 +3/2x

Step-by-step explanation:

3/4 (6+2x)

Distribute

3/4*6 + 3/4*2x

18/4 +6/4x

9/2 +3/2x

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3 years ago

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bagirrra123 [75]

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Step-by-step explanation:

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3 years ago