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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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Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The re
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Answer: 65 people completed graduate school.

Step-by-step explanation:

25% of 260 is 65.

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2 years ago
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Please respond as soon as you can, I will give brainliest answer!
spin [16.1K]

Answer: Non-Linear Function line

Step-by-step explanation:

The reason is if it was a linear one then it would be a straight line and since this is not a straight line then it is a Non-Linear Function because you can't just look at it and see what the increase and decrease was for a certain time period.

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3 years ago
All help is appreciated. Find m
Annette [7]

Answer:

B.) 73°

Step-by-step explanation:

To find m<A, first you must find it's supplementary angle. In order to do this, you must determine the missing interior angle. We'll call the missing angle x

A pentagon has 540°. Add up the known angles.

96°+118°+115°+104°+x = 540°

433°+x = 540°

x = 107°

Now that we know the value of x, we can find the m<A. Supplementary angles are two angles that add up to 180°, which is a flat line. We can see in the diagram that m<a + 107° is a flat line, meaning m<a + 107° = 180°

Solve accordingly.

m<a + 107° = 180°

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3 years ago
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According to the United Nations, in the year 2002, the population of the world was 6.1 billion people and was growing at an annu
zmey [24]

Answer:

(a) 6.2843 billion

(b) 6.8716 billion

Step-by-step explanation:

Since there is a constant growth rate of 1.5% per year, and the population in 2002 was 6.1 billion people. The general equation for the total world population, in billions, after 2002 is:

P(t) = 6.1*(1+0.015)^t

With t being the time, in years, after 2002.

a) What was the population in 2004?

t=2004-2002=2\\P(2) = 6.1*(1.015)^2\\P(2) = 6.2843 \ billion

b) What was the population in 2010?

t=2010-2002=8\\P(8) = 6.1*(1.015)^8\\P(8) = 6.8716 \ billion

3 0
3 years ago
This circle is centered at the origin, and the length of its radius is 6. What is
sergejj [24]

Answer:

A. x^2 + y^2 = 36

Step-by-step explanation:

The equation of a circle is usually written in the form

(x-h)^2 + (y-k)^2 = r^2

Where (h,k) is the center and r is the radius

The center is at the origin so (h,k) = (0,0) and  the radius is 6 so r=6

x^2 + y^2 = 6^2

or x^2 +y^2 = 36

4 0
3 years ago
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