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3 years ago

Write the first four terms of the sequence 1/2,add 1/3

1 answer:

3 0

To find the first four terms of a sequence that starts with 1/2 and has a common difference of 1/3, we can start by adding 1/3 to 1/2 (because it's the common difference). The first term is 1/2 (since it's already given to us). The next term is 1/2 + the common difference, or 1/2 + 1/3 or 5/6. The next term is 5/6 + 1/3, which is 7/6. The next term is 7/6 + 1/3 = 3/2. That means that the first four terms of this sequence are 1/2, 5/6, 7/6, and 3/2.

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Which inequality correctly compares Two-fifths, Six-sevenths, Five-eighths, and 1?

Ronch [10]

Answer:

2/5 < 5/8 < 6/7 < 1

OR

1 > 6/7 > 5/8 > 2/5

Step-by-step explanation:

It is required to compare Two-fifths, Six-sevenths, Five-eighths, and 1

Two-fifths = 2/5

Six-sevenths = 6/7

Five-eighths = 5/8

So, the given numbers are: 2/5, 6/7, 5/8, and 1

We need to make the numbers in order from the least to the greatest or from the greatest to the least

The easy method is convert the rational numbers to decimal numbers

So,

2/5 = 0.4

6/7 ≈ 0.857

5/8 = 0.625

1 = 1

So, the numbers form the least to the greatest are:

0.4 , 0.625 , 0.857 , 1

So,

2/5 , 5/8 , 6/7 , 1

The inequality correctly compares the numbers are:

2/5 < 5/8 < 6/7 < 1

Or can be written from the greatest to the least as:

1 > 6/7 > 5/8 > 2/5

6 0

4 years ago

The graphs of two functions are shown.

Naily [24]

Range, Maximum, and y-intercept

3 0

4 years ago

Read 2 more answers

Correct Answers only please!

Tcecarenko [31]

Answer:

C. $97

Step-by-step explanation:

The average of his wage for all 15 days is the sum of all wages for the 15 days divided by 15.

average wage for 15 days = (sum of wages for the 15 days)/15

The amount of wages during a number of days is the product of the average wage of those days and the number of days.

First 7 days:

average wage: $87

number of days: 7

total wages in first 7 days = 7 * $87/day = $609

Last 7 days:

average wage: $92

number of days: 7

total wages in last 7 days = 7 * $92/day = $644

8th day:

wages of the 8th day is unknown, so we let x = wages of the 8th day

total wages of 15 days = (wages of first 7 days) + (wages of 8th day) + (wages of last 7 days)

total wages of 15 days = 609 + x + 644 = x + 1253

average wage for 15 days = (sum of wages for the 15 days)/15

average wage for 15 days = (x + 1253)/15

We are told the average for the 15 days is $90/day.

(x + 1253)/15 = 90

Multiply both sides by 15.

x + 1253 = 1350

Subtract 1253 from both sides.

x = 97

Answer: $97

3 0

3 years ago

We expect to see a line for a graph of a composition of a function and it's inverse function, if the domain of each is all _____

Helen [10]

The answer would be All (A)Real Numbers

4 0

4 years ago

The 2nd term of an exponential sequence is 9 while the 4th term is 81.find the common ratio,the first term and the sum of the fi

Thepotemich [5.8K]

Answer:

second term: 9

4th term:81

$(3rd \: term)^{2} = 9 \times 81$

=729

$\sqrt{729} = 27$

3rd term=27

${9}^{2} = a1x27 \\ 81 = 27a1$

a1=3 the first term

$81 = 3 \times {q}^{3}$

${q}^{3} = 27$

q=3

$s = 3x \frac{1 - {3}^{5} }{1 - 3} = 364.5$

5 0

3 years ago