The coefficients in the expansion of (x+y)^6 are _______A) 0,6,15,20,15,6,0

B) 1,6,15,20,15,6,1,

C) 1,6,15,15,6,1

D) 0,1,6,15,15,6,1,0

Answers

Answer 1

Answer: Using Binomial Theorem, we will know that each term will have binomial coefficients nCk (n choose k) for 0 ≤ k ≤ 6

Here, we have n = 6 so coefficients are ₆C₀, ₆C₁, ₆C₂, ₆C₃, ₆C₄, ₆C₅, ₆C₆

Which is same as 1, 6, 15, 20,15, 6, 1, respectively, therefore answer is B.

Another way to solve is to look at 6th row of pascal's triangle.

Answer 2

Answer:

Answer:

1, 6, 15, 20,15, 6, 1,

Step-by-step explanation:

apex

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What fraction is equivalent to 11/24?

Answers

You can find equivalent fractions by multiplying both the numerator and the denominator by the same number. An equivalent fraction to 11/24 could be 22/48. Or 33/72, etc.

Final answer:

To find an equivalent fraction to 11/24, divide both the numerator and denominator by a common factor.

Explanation:

To find the fraction that is equivalent to 11/24, we need to find an equivalent fraction with a numerator and denominator that have a common factor with 11 and 24.

11 and 24 have a common factor of 1. So, if we divide both the numerator and denominator of 11/24 by 1, we get the equivalent fraction 11/24.

Learn more about Equivalent fractions here:

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Josef ate 1/4 a pizza in 1/2 an hour. How much pizza would Josef eat in one hour?

Answers

1/2 of the pizza is eaten in an hour. To get from 1/2 an hour to 1 hour, you multpily by 2. Multiply 1/4 by 2 to get 1/2.

The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.1.8
2
8/9

Answers

Answer:

d = 2

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_(n)$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 5 and a₁₀ = 13, thus

a₁ + 9d = 13, that is

- 5 + 9d = 13 ( add 5 to both sides )

9d = 18 ( divide both sides by 9 )

d = 2

June has 42 sports books, 85 mystery books, and 69 nature books. She arranged her books equally on 7 shelves. How many books are on each shelf.

Answers

Answer:

Step-by-step explanation:

We are given that

June has sports books=42

June has mystery books=85

June has nature books=69

Total number of shelves=7

We have to find the number of books are on each shelf.

Total number of books=42+85+69=196

To find the number of books on each shelf we will divide the total number of books by 7.

Number of books on each shelf= $(196)/(7)$

Number of books on each shelf=28

Hence, number of books on each shelf=28

Answer:

Step-by-step explanation:

Add 42, 85, and 69 together and you get 196 but you need to divide that by 7 and you get 28

Can you tell me what 6+3.9 is

Answers

Answer:

9.9

Step-by-step explanation:

6 + 3.9 = 9.9

you add the two whole numbers together and get 9

then you need to add whatever is behind the decimal point which is 9

add them together and you get 9.9

What is x+5 over x = 5 over 4