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Doss [256]
3 years ago
15

Simply the expression by combining like terms.

Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0

Answer:

6z+7

Step-by-step explanation:

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I need Your help Plish✍​<br>(brainliest)
Anit [1.1K]

Answer:

1/5 2/5

Step-by-step explanation:

There is 5 zones meaning its 1 out of 5.

If you flip twice its double your chance.

Hope This Helps

6 0
3 years ago
What is the coefficient of x2y3 in the expansion of (2x + y)5?
Zigmanuir [339]

Option C:

The coefficient of x^{2} y^{3} is 40.

Solution:

Given expression:

(2 x+y)^{5}

Using binomial theorem:

(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}

Here a=2 x, b=y

Substitute in the binomial formula, we get

(2x+y)^5=\sum_{i=0}^{5}\left(\begin{array}{l}5 \\i\end{array}\right)(2 x)^{(5-i)} y^{i}

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.

$=\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}+\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1}+\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}+\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}

                                                            $+\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}+\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}

Let us solve the term one by one.

$\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}=32 x^{5}

$\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1} = 80 x^{4} y

$\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}= 80 x^{3} y^{2}

$\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}= 40 x^{2} y^{3}

$\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}= 10 x y^{4}

$\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}=y^{5}

Substitute these into the above expansion.

(2x+y)^5=32 x^{5}+80 x^{4} y+80 x^{3} y^{2}+40 x^{2} y^{3}+10 x y^{4}+y^{5}

The coefficient of x^{2} y^{3} is 40.

Option C is the correct answer.

5 0
3 years ago
A model car is 7.5 inches long made with a scale of 2 inches = 48 inches. How long is the actual car?
slava [35]

Answer:

360

Step-by-step explanation:

3 0
2 years ago
A smaller square is cut from a square board. The smaller square has a side length of approximately 14 feet. What is the approxim
Oksi-84 [34.3K]

Answer:

204

Step-by-step explanation:

Find the area of the inner square. 14 x 14 = 196

Then find the area of the outer square. 20 x 20 = 400

Subtract 400 - 196 = 204

204 is closest to 200

3 0
3 years ago
Thomas wants to spend no more than $25.50 movies and CDs. If he buys a movie for $9.50 and the CDs cost $5.00, how many CDs can
REY [17]

Answer:

3

Step-by-step explanation:

25.5-9.5=16

16-15=1 (highest multiple of 5 that fits into 16)

He can buy 3 cds and he will have $1 left over

8 0
3 years ago
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