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uysha [10]
3 years ago
6

Complete the following statements in relation to the third term in the expansion of the binomial (2x+y^2)^5

Mathematics
1 answer:
lana [24]3 years ago
4 0
We want to expand (2x + y²)⁵.

From Pascal's Triangle (shown below), the coefficients of the expansion are
1,5,10,10,5,1.

n=0:                        1
n=1:                      1      1
n=2:                   1    2     1
n=3:                 1   3    3     1
n=4:               1   4   6    4     1
n=5:             1   5  10  10   5     1

Therefore the third term in the expansion is 
10*(2x)³*(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴

Alternatively, the third term is
₅C₃ (2x)³(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴

Answer: 80x³y⁴

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Matttttttttttttttttthhhhhhhhhh , HELLPPP !
Harman [31]

here we have 3X to 5 seventh power in radical form

3x^{5/7}

we need write this in radical form we knwo that x^{1/2} =\sqrt{x}

so 3x^{5/7} =\sqrt[7]{3x^{5}}

this will be the radical form .

8 0
3 years ago
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HELPP! ASAP PLS!! Find the surface area of the composite solid. Leave your answer in exact terms.
Andreyy89

Answer:

Step-by-step explanation:

First find the surface area of the clyinder and find the area circles and subtract

Then find the surface area of a cone, remove the circle area and double it.

Clyinder surface area (without circle area) 2πrh+2πr2=2·π·4·6+2·π·42≈251.32741

251.32741 - 50.2 - 50.2

Cone area: A=πr(r+h2+r2)=π·4·(4+32+42)≈113.09734

113.09734 - 50.2 - 50.2

Total: 12.69734 + 150.92741 = 163.62475

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2 years ago
Is 8000 meters greater than 9 kilometers?
mrs_skeptik [129]

Answer:

no

Step-by-step explanation:

6 0
1 year ago
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PLEASE HELP<br> find the vertex of f(x)=x^2+2x+3 (make sure you show your work)
kotegsom [21]

Answer:

(- 1, 2)

Step-by-step explanation:

Given a quadratic in standard form y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = x² + 2x + 3 ← is in standard form

with a = 1 and b = 2, hence

x_{vertex} = - \frac{2}{2} = - 1

Substitute x = - 1 into f(x) for corresponding value of y

f(- 1) = (- 1)² + 2(- 1) + 3 = 1 - 2 + 3 = 2

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4 0
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A phenomenon is observed many, many times under identical conditions. The proportion of times a particular event A occurs is rec
Sever21 [200]

Answer:

A. The probability of event A

Step-by-step explanation:

The proportion of times a particular event A occurs is known as the probability of event A because the probability is the measure of uncertainty and by definition probability is calculated as

P(x)=X/n

where

P(x) is the probability of occurring of random variable X

X=number of favorable outcomes

and

n= total number of outcomes.

Thus, the proportion of times a particular event A occurs is known as the probability of event A.

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