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makkiz [27]
3 years ago
9

9/16•6 in fraction from?

Mathematics
1 answer:
Anit [1.1K]3 years ago
3 0

Answer:

9/16 x 6/1 = 54/16

simplify = 27/8

Step-by-step explanation:

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How do the values in Pascal’s triangle connect to the coefficients?
damaskus [11]

Explanation:

Each row in Pascal's triangle is a listing of the values of nCk = n!/(k!(n-k)!) for some fixed n and k in the range 0 to n. nCk is <em>the number of combinations of n things taken k at a time</em>.

If you consider what happens when you multiply out the product (a +b)^n, you can see where the coefficients nCk come from. For example, consider the cube ...

  (a +b)^3 = (a +b)(a +b)(a +b)

The highest-degree "a" term will be a^3, the result of multiplying together the first terms of each of the binomials.

The term a^b will have a coefficient that reflects the sum of all the ways you can get a^b by multiplying different combinations of the terms. Here they are ...

  • (a +_)(a +_)(_ +b) = a·a·b = a^2b
  • (a +_)(_ +b)(a +_) = a·b·a = a^2b
  • (_ +b)(a +_)(a +_) = b·a·a = a^2b

Adding these three products together gives 3a^2b, the second term of the expansion.

For this cubic, the third term of the expansion is the sum of the ways you can get ab^2. It is essentially what is shown above, but with "a" and "b" swapped. Hence, there are 3 combinations, and the total is 3ab^2.

Of course, there is only one way to get b^3.

So the expansion of the cube (a+b)^3 is ...

  (a +b)^3 = a^3 + 3a^2b +3ab^2 +b^3 . . . . . with coefficients 1, 3, 3, 1 matching the 4th row of Pascal's triangle.

__

In short, the values in Pascal's triangle are the values of the number of combinations of n things taken k at a time. The coefficients of a binomial expansion are also the number of combinations of n things taken k at a time. Each term of the expansion of (a+b)^n is of the form (nCk)·a^(n-k)·b^k for k =0 to n.

6 0
3 years ago
Which of these debts could possibly be forgiven under Chapter 7 bankruptcy? A. Credit Card Debt B. Child Support C. Alimony D. A
a_sh-v [17]
Chapter 7 - Bankruptcy is a very beneficial means for those facing severe financial uncertainty or debts. And even though it cannot remove all your liability, it can help you eliminate a number of arrears so you can begin working to reestablish your credit score. These are the debts which are not forgiven in Chapter 7: student loans, child support, alimony payments, majority of taxes you owe and secured or collateral debts.

So the answer is A. Credit Card. A credit card debt can be forgiven under chapter 7 because it is the main reason why people file for bankruptcy just to discharge their credit card balance.
4 0
3 years ago
Read 2 more answers
If (42)^p = 41^4, what is the value of p?
babymother [125]

First you need to make both bases the same:

Lets remove the ^p and ^4

To make the base of 42 equal to 41, you would have 41^x = 41

X - ln(42) / ln(41) = 1.00648904


Now you have 41^1.00648904(p) = 41^4


Now the bases are equal so we need to set the exponents to equal:

1.00648904(p) = 4

Divide both sides by 1.00648904 to solve for P

P = 4 / 1.00648904

P = 3.97421114

4 0
3 years ago
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Zina [86]

Answer:

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6 0
2 years ago
How many ways can you arrange the letters in the word Vacuum?
Flura [38]

Answer:

The answer is 360 ways

Step-by-step explanation:

7 0
3 years ago
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