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Lyrx [107]
2 years ago
6

If n and k are positive integers and 8*n = 2*k , what is

Mathematics
1 answer:
ziro4ka [17]2 years ago
6 0

Answer: 1/4

Step-by-step explanation:

8n=2k\\\\4n=k\\\\4=\frac{k}{n}\\\\\frac{n}{k}=\frac{1}{4}

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3 years ago
What is the coefficient of the x^5y^5 term in the binomial expansion of (2x-3y)^10?
nalin [4]

ANSWER

10C_5(2)^{5}( - 3)^5

EXPLANATION

The given binomial expression is

(2x-3y)^{10}

The nth term in this expansion is calculated using the formula,

T_{r+1} = nC_ra^{n-r}b^r

To find the term with coefficient

{x}^{5}  {y}^{5}

we substitute r=5, n=10, a=2x, and b=-3y

T_{6} = 10C_5(2x)^{10-5}( - 3y)^5

T_{6} = 10C_5(2x)^{5}( - 3y)^5

T_{6} = 10C_5(2)^{5}( - 3)^5 {x}^{5}  {y}^{5}

The coefficient is

10C_5(2)^{5}( - 3)^5

The second choice is correct.

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4 years ago
Find the 7th term for the sequence with the given formula.
Step2247 [10]

Answer:

11

Step-by-step explanation:

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Step-by-step explanation:

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