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saw5 [17]
4 years ago
7

Write each expression in exponential form and find its value 1/6*1/6*1/6*1/6

Mathematics
1 answer:
olga55 [171]4 years ago
3 0

Answer:

1/6^4.

Step-by-step explanation:

Multiply denominators.

6*6*6*6 = 1,296

Your answers are 1/6^4 and 1/1296.

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A geometric sequence is shown below.
mestny [16]

Answer:

An explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

Step-by-step explanation:

Given the geometric sequence

-\frac{1}{2},\:-2,\:-8,\:-32,...

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

f_n=f_1\cdot r^{n-1}

Determining the common ratios of all the adjacent terms

\frac{-2}{-\frac{1}{2}}=4,\:\quad \frac{-8}{-2}=4,\:\quad \frac{-32}{-8}=4

As the ratio is the same, so

r = 4

Given that f₁ = -1/2

substituting r = 4, and f₁ = -1/2 in the nth term

f_n=f_1\cdot r^{n-1}

f_n=-\frac{1}{2}\cdot \:4^{n-1}

Thus, an explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

8 0
3 years ago
60 dollars for 12 hamburgers how much dollars per hamburger
natali 33 [55]
5. 60/12 is 5 :) hope this helps
6 0
3 years ago
Which value of c makes the ratios equal? *
Nikitich [7]

Answer:

Option 4

The answer is 10.8

Step-by-step explanation:

5/6 = 9/c

5c = 9 × 6

5c = 54

5c/5 = 54/5

c = 10.8

Thus, The value of c is 10.8

<h3><u>For </u><u>Verification</u>;</h3>

5/6 = 9/c

5/6 = 9/10.8

0.833 = 0.833

Hence, L.H.S = R.H.S

<u>-TheUnknownScientist</u><u> 72</u>

3 0
2 years ago
If I walk 3/4 mile to work and 3/4 mile home each day, how long will it take me to walk 3 miles?
anastassius [24]

Answer:

2 days

Step-by-step explanation:

for a day you walk 1.5 mile (0.75 + 0.75)

so it will only take 2 days

6 0
4 years ago
Plzzzz help me plzzzzz z z z zz z !!!!!!!!!
denis-greek [22]

Answer:

circle: ( 1, 0.5 )

square: ( 4.5, 3.5 )

triangle: ( 0, 2.5 )

Step-by-step explanation:

4 0
3 years ago
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