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katrin2010 [14]
3 years ago
15

(2x + y) 6 power how to solve binomial theorem

Mathematics
2 answers:
VikaD [51]3 years ago
8 0
Binomial Theorem is
(a+b)^n = (_0^n) a^n b^0 + (_1^n) a^{n-1} b^1 + (_2^n)a^{n-2} b^2 +...(_n^n)a^0 b^n
You need to know Combinations to get the coefficients.
The order of coefficients for n=6 is: (Also obtained from Pascals Triangle)
1,6,15,20,15,6,1
Final Answer
(2x)^6 + 6(2x)^5 y + 15 (2x)^4 y^2 + 20(2x)^3 y^3 + 15 (2x)^2 y^4 + 6 (2x) y^5 + y^6
stealth61 [152]3 years ago
6 0
64x^6 + 192x^5y + 240x^4y^2 + 160x^3y^3 +60x^2y^4 +12xy^5 +y^6
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Solution:
makkiz [27]

Answer:

You will have 1.585 left after 35 years.

Step-by-step explanation:

Equation for amount of a substance:

The equation for the amount of a substance, using exponential decay, is given by:

A(t) = A(0)(1 - r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

The half-life of BRADIUM-29 is 15 years.

This means that A(15) = 0.5A(0). We use this to find r.

A(t) = A(0)(1 - r)^t

0.5A(0) = A(0)(1 - r)^{15}

(1 - r)^{15} = 0.5

\sqrt[15]{(1 - r)^{15}} = \sqrt[15]{0.5}

1 - r = (0.5)^{\frac{1}{15}}

1 - r = 0.9548

Then

A(t) = A(0)(1 - r)^t

A(t) = A(0)(0.9548)^t

You have 8 ounces of this strange substance today

This means that A(0) = 8. So

A(t) = A(0)(0.9548)^t

A(t) = 8(0.9548)^t

How much will you have left after 35 years?

This is A(35). So

A(t) = 8(0.9548)^t

A(35) = 8(0.9548)^{35} = 1.585

You will have 1.585 left after 35 years.

8 0
3 years ago
8 to the second power +9 (12 divided by 3 x 2) – 7. explain
LenKa [72]

Answer:

njbjhfdfghjkliuytr

Step-by-step explanation:

8 0
3 years ago
Evaluate the expression and enter your answer in the box below.<br> 8 + |7|
rewona [7]

Answer:

Well the absolute value of 7 is 7 and 7+8 would be 15.

Step-by-step explanation:

Answer: 15

Hope this helped :)

Please give brainliest!

7 0
3 years ago
Mini muffins cost $3:00 per dozen Andre says I have $2:00 so I can afford 8 muffins Elena says I want to get 16 muffins so I’ll
jasenka [17]

Answer:

I agree with both.

Step-by-step explanation:

If it's $3 per dozen that would be $0.25 per muffin because

3 ÷ 12 = 0.25

And if Andre has $2 than he can only afford 8 muffins because

0.25 x 8 = 2

And if Elena wants 16 muffins

16 x 0.25 = 4

So she will have to pay $4.

Hope this makes sense and helps!

4 0
3 years ago
Write as an improper fraction 7 2/5
Nana76 [90]

Answer:

37/5

Step-by-step explanation:

4 0
3 years ago
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