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3 years ago

What is the pattern in the sequence 0, 1, 1, 2, 3, 5, 8, 13, 21,

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21 and so on.

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What is the equation of the line that passes through (-3, -1) and has a slope of 2/5? Put your answer in slope-intercept form.

Zanzabum

Hi there!

The general formula of A line in slope-intercept form is the following:
$y = mx + n$

In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
$y = \frac{2}{5} x + n$

We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1

$- 1 = \frac{2}{5} \times - 3 + n$

Multiply first.
$- 1 = - 1\frac{1}{5} + n$

And finally add 1 1/5 to both sides of the equation.
$\frac{1}{5} = n$

We can now switch sides.
$n = \frac{1}{5}$

Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
$y = \frac{2}{5} x + \frac{1}{5}$

7 0

3 years ago

A sculptor is selling her work at an exhibit and hopes to earn at least $31,000 in revenue. Small pieces go for $780 and large p

Sauron [17]

The answer should be

780x + 1500y=31000

please correct me if i'm wrong

3 0

2 years ago

Read 2 more answers

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 9 inches.

Debora [2.8K]

<span>You can get those ordered pairs subtracting 9-0.5, then that result minus 0.5 because from the rate the candle reduces its height 0.5inches per each hour.Part B: Is this relation a function? Yes, because each value of x has a single result or output in “y” (image)Part C: Yes, only difference is the time, the candle reduces its height 0.45 inches per each hour, examples of ordered pairs: (0,9) (1,8.55) (2,8.1)</span>

5 0

2 years ago

if eight times a number is increased by 3 the result is 19 more than six times this digit. find the number

Verdich [7]

Answer:

Step-by-step explanation:

Even though we don't know the number yet, let's name this number "n".

8n + 3 = 6n + 19

8n + 3 - 6n = 6n + 19 - 6n

2n + 3 = 19

2n = 16

n = 16/2

n = 8

Our number is 8.

Note: This answer is 100% correct.

6 0

2 years ago

Read 2 more answers

1 21.1.1 Study: Characteristics of Ecosystems

Svet_ta [14]

Answer:

The two populations living habitats are different. Also they are only similar not the same. Although the physical features may look the same, the actual species may be totally different. :)

Step-by-step explanation:

6 0

2 years ago