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ololo11 [35]
3 years ago
14

Please help with this

Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0

Answer: x = 1.50551927,2.68790604

Step-by-step explanation:

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What is the fourth term in the binomial expansion (a+b)^6)
Dafna11 [192]

Answer:

20a^3b^3

Step-by-step explanation:

<u>Binomial Series</u>

(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example:  4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3

\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3

\implies \dfrac{6!}{3!3!}a^{3}b^3

\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3

\implies \left(\dfrac{120}{6}\right)a^{3}b^3

\implies 20a^3b^3

7 0
1 year ago
Mary can paint a house by herself in 12 hours. john can paint a house by himself in 16 hours. how long would it take them to pai
QveST [7]
1/12+1/16=1/n
4/48+3/48=1/n
7/48=1/n
48=7n
n=48/7 hours to paint the house if they worked together
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5 0
3 years ago
Kai is buying boxes of cookies at a bakery. Each box of cookies costs \$4$4dollar sign, 4. He wrote this equation to find how ma
IRISSAK [1]

Answer:

WHAT COLLIG U GO 2 :3

Step-by-step explanation:

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8 0
1 year ago
Hi! I need help on my homework. Juli uses 12 ounces of cheese in her potato soup recipe. Her recipe yields 8 servings. If Juli n
Anestetic [448]
12x8=96 then 96 divided by 20=4.8, so the answer is 4.8, your welcome! Hopefully you get it right!!☺️
3 0
3 years ago
A set designer builds a model of the stage and the different pieces of furniture on it. He uses a scale of 5 cm to 1 m. What is
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5-1

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8 0
3 years ago
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