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Marrrta [24]
2 years ago
9

A 15 inch string is cut. One piece is 7.2 in. Which equation shows how to find the 2nd length?

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
8 0

Answer:

7.2+x=15

x=15-7.2

x=7.8

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What are the first three terms of the sequence defined by the recursive function an=an-1-(an-2-4), when a5=-2 and a6=0
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Answer:

6, 10, 8

Step-by-step explanation:

aₙ= aₙ₋₁ - (aₙ₋₂ - 4)= aₙ₋₁ - aₙ₋₂ + 4

a₅= -2

a₆= 0

-----------

aₙ₋₂= aₙ₋₁ - aₙ + 4

  • a₄= a₅- a₆ + 4 = -2 - 0 + 4 = 2
  • a₃= a₄ - a₅ + 4 = 2 - (-2) + 4 = 8
  • a₂= a₃ - a₄ + 4 = 8 - 2 + 4 = 10
  • a₁= a₂ - a₃ + 4 = 10 - 8 + 4 = 6

The first 3 terms: 6, 10 and 8

4 0
2 years ago
What is the slope of the line 2x – 5y = 12 ?
d1i1m1o1n [39]

Answer:

m=2/5

Step-by-step explanation:

Use the Slope-intercept form y=mx+b to find the slope m.

8 0
3 years ago
The sum of the first 6 terms of a geometric series is 15,624 and the common ratio is 5.
nikitadnepr [17]

Answer:

  4

Step-by-step explanation:

The sum of n terms of a geometric series with first term a1 and common ratio r is given by ...

  Sn = a1·(r^n -1)/(r -1)

for r=5 and n=6, this becomes ...

  15624 = a1·(5^6 -1)/(5 -1) = a1·(15624/4)

Then we have ...

  1 = a1/4 . . . . . divide by 15624

  4 = a1 . . . . . . multiply by 4

The first term of the series is 4.

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3/15= 1/5 That's the answer

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