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jok3333 [9.3K]
2 years ago
14

A box is shaped like a right rectangular prism. it has a base area of 16 square inches and a height of 5 1/3 inches

Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
4 0

Answer:

I do not know it and I don't understand

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What is the binomial expansion of (x 2y)7? 2x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5 14xy6 2y7 x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5
AysviL [449]

You can take x = a, 2y = b and then can apply the binomial theorem.

The expansion of given expression is given by:

Option D: x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7 is

<h3>What is binomial theorem?</h3>

It provides algebraic expansion of exponentiated(integer) binomial.

According to binomial theorem,

(a+b)^n = \sum_{i=0}^n ^nC_i a^ib^{n-i}

<h3>How to use binomial theorem for given expression?</h3>

Taking a = x, and b =2y, we have n = 7, thus:

(x+2y)^7 = \: ^7C_0x^0(2y)^7 + \: ^7C_1x^1(2y)^6 + \: ^7C_2x^2(2y)^5 + \: ^7C_3x^3(2y)^4 + \:^7C_4x^4(2y)^3 + \:^7C_5x^5(2y)^2 + \:^7C_6x^6y^1 + \: ^7C_0x^7y^0\\\\&#10;(x+2y)^7 = 128y^7 + 448xy^6 + 672x^2y^5 + 560x^3y^4 + 280x^4y^3 + 84x^5y^2 + 14x^6y + x^7\\\\&#10;(x+2y)^7 = x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7

Thus, Option D: x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7 is correct.

Learn more about binomial theorem here:

brainly.com/question/86555

6 0
2 years ago
Find the slope of the line that passes through the following points. (-8,-1) (-4,-2)
lana [24]

Answer:

-1/4

Step-by-step explanation:

We can find the slope of a line given two points by using

m = (y2-y1)/(x2-x1)

    = (-2- -1)/( -4 - -8)

    = (-2+1)/(-4+8)

     = -1/4

8 0
3 years ago
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Which graph represents this function f(x)=1/2x-5
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Answer:

The first graph(Left)

Step-by-step explanation:

Because in this form 1/2 is the slope and -5 is the y intercept.

7 0
2 years ago
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Find the approximate area of a circle that has a diameter of 11 inches. Round your answer to the nearest hundredth
OLga [1]

Answer:

95.03in.^2

Step-by-step explanation:

Use the formula, A= pi r^2 and D=2r

A=1/4pi d^2=1/4 times pi time 11 squared

4 0
2 years ago
What linear function represents the line given by the point slope equation y+7= 2/3(x+6)?
Neko [114]

Answer:

the correct answer is the 3rd one

4 0
3 years ago
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