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murzikaleks [220]
3 years ago
9

What is the second term of the expand the binomial above. (8v + s)5

Mathematics
2 answers:
Rasek [7]3 years ago
8 0

Let's assume that's a fifth power.

The first term is

{5 \choose 0}(8v)^5 s^0

and the second term is

{5 \choose 1}(8v)^4 s^1

5 choose 1 is 5 and 8^4=2^{12}=4096.

Answer: 20480 v^4 s



Stells [14]3 years ago
3 0
(8v + s)5 (multiply 5 into the parentheses)

(8v × 5) + (s × 5)

40v + 5s
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Find the next term is in the explicit and recursive rule for the in term of the sequence. NO LINKS!!!
BARSIC [14]

9514 1404 393

Answer:

  5) 729, an=3^n, a[1]=3; a[n]=3·a[n-1]

  6) 1792, an=7(4^(n-1)), a[1]=7; a[n]=4·a[n-1]

Step-by-step explanation:

The next term of a geometric sequence is the last term multiplied by the common ratio. (This is the basis of the recursive formula.)

The Explicit Rule is ...

  a_n=a_1\cdot r^{n-1}

for first term a₁ and common ratio r.

The Recursive Rule is ...

  a[1] = a₁

  a[n] = r·a[n-1]

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5. First term is a₁ = 3; common ratio is r = 9/3 = 3.

Next term: 243×3 = 729

Explicit rule: an = 3·3^(n-1) = 3^n

Recursive rule: a[1] = 3; a[n] = 3·a[n-1]

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6. First term is a₁ = 7; common ratio is r = 28/7 = 4.

Next term: 448×4 = 1792

Explicit rule: an = 7·4^(n-1)

Recursive rule: a[1] = 7; a[n] = 4·a[n-1]

7 0
3 years ago
X-y=3<br> X+2y=-6<br> Solve using substitution
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X-y=3=>x=3+y
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=========
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3 years ago
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vesna_86 [32]

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3 0
3 years ago
An airplane travels 2416 kilometers against the wind in 4 hours and 2896 kilometers with the wind in the same amount of time. Wh
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Answer: the rate of the plane in still air is 664 km/h and the rate of the wind is 60 km/h

Step-by-step explanation:

Let x represent the rate of the plane in calm air.

Let y represent the rate of the wind.

An airplane travels 2416 kilometers against the wind in 4 hours. This means that the total speed with which the plane flew is (x - y) mph.

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Dividing both sides of the equation by 4, it becomes

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Substituting x = 664 into equation 2, it becomes

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y = 724 - 664

y = 60

5 0
3 years ago
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