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Alisiya [41]
2 years ago
5

B. Mason put sticky notes on some pages of his math book. The page numbers for this sequence 3, 5, 8, 13, 21,34, ... Describe th

e rule for the sequence. I Find the next two terms of the sequence. Show your work.​
Mathematics
2 answers:
katrin [286]2 years ago
6 0

Answer:

The next two terms are 55 and 89

Step-by-step explanation:

This is an example of the Fibonacci Sequence: The sum of the previous two numbers equals the next number.

You can see that :

  • 3 + 5 = 8
  • 5 + 8 = 13
  • 8 + 13 = 21
  • 13 + 21 = 24

Rule: the sum of the previous two numbers, equals the next number.

Solve:

  • 3, 5, 8, 13, 21, 34, (21 + 34), (34 + 21 + 34)
  • 3, 5, 8, 13, 21, 34, 55, 89

The next two terms are 55 and 89

-Chetan K

Mademuasel [1]2 years ago
6 0

Step-by-step explanation:

the next 2 term is 55 and 89

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Find the magnitude of WX for W(-2, 8, -3) and X(1, 4, -1)
zheka24 [161]

The magnitude of WX is  \sqrt{29}  ⇒ c

Step-by-step explanation:

The magnitude of XY (its length) where,

  • X=(x_{1},y_{1},z_{1})
  • Y=(x_{2},y_{2},z_{2})

is IXYI = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}+(z_{2}-z_{1})^{2}}

∵ W = (-2 , 8 , -3)

∵ X = (1 , 4 , -1)

- To find the magnitude of WX use the formula above

∴ x_{1} = -2 and x_{2} = 1

∴ y_{1} = 8 and y_{2} = 4

∴ z_{1} = -3 and z_{2] = -1

- Substitute these values in the rule above

∵ IWXI = \sqrt{(1--2)^{2}+(4-8)^{2}+(-1--3)^{2}}=\sqrt{9+16+4}

∴ IWXI = \sqrt{29}

The magnitude of WX is  \sqrt{29}

Learn more:

You can learn more about the position of an object in brainly.com/question/10940255

#LearnwithBrainly

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3 years ago
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If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid num
weeeeeb [17]

Answer:

<h2>x = 0, y = 5, z = 3</h2>

Step-by-step explanation:

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\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}

7 0
3 years ago
Need help with 1 &amp; 2 anyone wanna help I will mark you brainliest
xz_007 [3.2K]
1. First step: To get a term of x by itself, add 5 to both sides

Second step: This will become 3x<24

Third step: To separate 3x, divide everything by 3: 3x÷3 < 24÷3

Step four: x < 8

2. First subtract both sides by 12: - 2x + 12 - 12 < - 4 - 12

Second: This becomes - 2x < -16

Third: Divide by -2 to get x by itself - 2x ÷ - 2 > -16 ÷ - 2 Note: If you divide by a negative number, the inequality sign switches. This is a really important step that most students forget.

Fourth: x>8

Note: Try plugging in values when you are done if you are uncertain you have the right answer.
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A bag contains 5 blue marbles, 2 green marbles, and 3 yellow marbles. What is the probability of choosing one green marble and t
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Answer:

Step-by-step explanation:

Total number of marbles = 5 + 2 + 3 = 10

Probability of choosing 1 green marble = 2/10

Probability of choosing 1 yellow marble = 3/10

Notice (and this is important) that the denominator didn't change. Why?

Because you replaced the first marble into the bag. That word replacement is critical in a problem of this nature. There is the term non replacement which means that the second draw would have a denominator of 9.

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Answer: P(green then yellow) = 3/50 because 6 / 100 reduces.

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C.

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