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S_A_V [24]
3 years ago
15

What is the coefficient of x^2 y^3 in the expansion of (2x+y)^5

Mathematics
1 answer:
Anna35 [415]3 years ago
4 0

If it's x²y³ then we know it's the second term of the expansion, that known we can use the combination

C(5, 2) = 5!/(2!.3!) = 10

Then if we had something like

(a + b)^5 our second term would be 10a²b³ but as we can see it's "a²"

And in our case we have 2x as a

So we must do 2² too

2² = 4

10 . 4 = 40

Then our second term of the expansion would be

40x²y³

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Through which element would someone most likely receive a shock?
IrinaK [193]

Answer:

chromium (Cr)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How many kilograms of a 5% salt solution and how many kilograms of a 15% salt solution must be mixed together to make 45kg of an
JulsSmile [24]

Answer:

31.5 kilograms of a 5% salt solution and 13.5 kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

Step-by-step explanation:

Let us assume that the number of kilograms of a 5% salt solution used be x .

Let us assume that the number of kilograms of a 15% salt solution used be y .

As given

A 5% salt solution and 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

Equation becomes

x + y = 45

5% is written in the decimal form .

= \frac{5}{100}

= 0.05

15% is written in the decimal form .

= \frac{15}{100}

= 0.15

8% is written in the decimal form .

= \frac{8}{100}

= 0.08

Thus

Concentration of 5% salt solution × Number of kilograms of 5% salt solution used + Concentration of 15% salt solution × Number of kilograms of  15% solution used = Concentration of 8% salt solution × Number of kilograms of 8% salt solution

Thus

0.05x + 0.15y = 0.08 × 45

Simplify the above

\frac{5x}{100} + \frac{15y}{100} = \frac{8\times 45}{100}

5x + 15y = 360

Thus two equations becomes

x + y = 45

5x + 15y = 360

Multiply x + y = 45 by 5 and subtracted from 5x + 15y = 360 .

5x - 5x + 15y - 5y = 360 - 225

10y = 135

y = \frac{135}{10}

y = 13.5 kilograms

Put value of y in the equation

x + 13.5 = 45

x = 45 - 13.5

x = 31.5 kilograms

Therefore the 31.5 kilograms of a 5% salt solution and 13.5 kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

5 0
3 years ago
Which triangles are similar Please helpppp quickkkkk
kakasveta [241]

Answer:

Triangle A and Triangle B

5 0
3 years ago
PLEASE HELPPPPPPPPPPPPPP THANK YOUUH
almond37 [142]
For A B and C, you just plug in the given number

A
2(15) + 5 = 35
B
4(20) + 2 = 82
C
6(10) + 5 = 65
And for D, you set the equation to 26 and solve for n
3x + 5 = 26 \\ 3x = 21 \\ x = 7
I had to use x instead of n, but for D n=7. :)

8 0
3 years ago
Find [-4/5]×3/7×15/16×[-14/9]​
dangina [55]

The given expression is \frac{-4}{5} \times \frac{3}{7}  \times \frac{15}{16}  \times (\frac{-14}{9}).

We need to simplify the given expression.

<h3>What is a rational number?</h3>

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Now group the rational numbers (\frac{-4}{5}\times \frac{15}{16} ) \times (\frac{3}{7}\times (\frac{-14}{9}))

=(\frac{-4}{16}\times \frac{15}{5} ) \times (\frac{3}{9}\times (\frac{-14}{7}))

=(\frac{-1}{4}\times \frac{3}{1} ) \times (\frac{1}{3}\times (\frac{-2}{1}))

=(\frac{-3}{4} ) \times (\frac{-2}{3})=\frac{1}{2}

Therefore, the simplified value of the given expression is \frac{1}{2}.

To learn more about the rational numbers visit:

brainly.com/question/17450097.

#SPJ1

8 0
2 years ago
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