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MrRissso [65]
3 years ago
9

Help asap! 30 pts and brainliest!

Mathematics
1 answer:
myrzilka [38]3 years ago
3 0

Answer:

July

Step-by-step explanation:

Took terst

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What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10
jasenka [17]

<u>Answer:</u>

 The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

<u>Solution: </u>

The given expression is (2 x-3 y)^{10}

As per binomial theorem, we know,

(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now x^{5}\times y^5 will be the 6 term where k =5

Now, \mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}

So, the coefficient of x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right.

10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252

The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

6 0
3 years ago
A drum has a diameter of 10 inches. find the area of the top of the drum. use 3.14 for pi.
icang [17]

Answer:

My answer is 78.55

Step-by-step explanation:

I've given the steps. Hope it really helps

4 0
3 years ago
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How many cubic yards are in a ton
katrin [286]
A cubic yard is equal to 27 cubic feet.
And one cubic yard is 2 tons.
8 0
4 years ago
!!!!SORRY I DIDNT MEAN TO SET IT TO COLLEGE, THIS IS 6th/7th grade!!!!!
Mnenie [13.5K]

Answer:

C) Jo's drink will have a stronger orange taste

Step-by-step explanation:

tropical punch calls for 2 liters of pineapple juice and 3 liters of orange juice.

total is 2+3 = 5 liters

pineapple = 2/5

orange = 3/5

Jo creates a drink by mixing 3 liters of pineapple juice with 4

total = 7

pineapple = 3/7

orange = 4/7

Get a common denominator to compare

5 and 7 = 35

tropical punch

pineapple = 2/5 *7/7 = 14/35

orange = 3/5*7/7 = 21/35

Jo

pineapple = 3/7*5/5 = 15/35

orange = 4/7*5/5 = 28/35

Jo will have both a stronger pineapple and orange taste than the tropical drink and the orange will be stronger than the pineapple in her drink

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3 years ago
What is the definition of division
iris [78.8K]

Answer:

to seperate

Step-by-step explanation:

7 0
3 years ago
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