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kumpel [21]
3 years ago
13

What is the 5th term of the expansion of (3x+y^4)^7

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
8 0

9514 1404 393

Answer:

  945x^3·y^16

Step-by-step explanation:

The 5th term will be ...

  C(7,4)(3x)^3(y^4)^4 = 35·27·x^3·y^(4·4)

  = 945x^3·y^16

_____

The coefficients of the expansion are C(n, k) where n is the exponent of the binomial, and k+1 is the term number. This is n!/(k!(n-k)!). The general (k-th) term of the expansion (a+b)^n is C(n, k)a^(n-k)b^(k) where k ranges from 0 to n.

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Answer:

Part A: 0

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Step-by-step explanation:

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3 years ago
Find the missing side. round to the nearest tenth.
horrorfan [7]

Answer:

24) x = 9.2

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Step-by-step explanation:

Given

See attachment for triangles

Solving (24)

To solve for x, we make use of cosine formula

i.e.

cos(40) = adjacent ÷ hypotenuse

So, we have:

cos(40) = x ÷ 12

Multiply both sides by 12

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12 * 0.7660 = x

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Solving (25)

To solve for x, we make use of sine formula

i.e.

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So, we have:

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Divide by sin(25)

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Using a calculator

x = 30.8

5 0
3 years ago
The sum of a number and eight is equal to 14 what is the number
musickatia [10]

Answer:

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Step-by-step explanation:

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3 0
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andrey2020 [161]
We simply divide the mass of Saturn with the mass of Earth.
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8 0
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ruslelena [56]
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7 0
3 years ago
Read 2 more answers
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