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2 years ago

Find the coefficient of the x7y2term in the binomial expansion of (x+y)^9

Mathematics

1 answer:

statuscvo [17]2 years ago

8 0

Answer:

Step-by-step explanation:

first, see the formula in the attached picture.

now, by applying that formula we get :

the coefficient of the x7y2 is :

9C7 = 36 (you can either use a calculator or just the algebraic formula)

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Jessica fills a cube shaped tank that has an edge of 70 cm with water from a tap. Water flows into the tank at a rate of 7L per

daser333 [38]

The volume of the tank is (70 cm)³ = 343,000 cm³.

Now,

1 mL = 1 cm³

1 L = 1000 mL

so we convert the given rate to

$\dfrac{7\,\rm L}{1\,\rm min} \cdot \dfrac{1000\,\rm mL}{1\,\rm L} \cdot \dfrac{1\,\mathrm{cm}^3}{1\,\rm mL} = \dfrac{7000\,\mathrm{cm}^3}{1\,\rm min}$

Then the time it will take to fill up the tank is

$343,000\,\mathrm{cm}^3 \cdot \dfrac{1\,\rm min}{7000\,\mathrm{cm}^3} = \boxed{49\,\rm min}$

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1 year ago

What is −4 4/5÷4 in lowest terms??

gregori [183]

-4 4/5 ÷ 4 = -24/5 x 1/4 = -6/5 = -1 1/5

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3 years ago

1. Solve for y 4x + 2y = 6<br>

xenn [34]

Answer:

y = -2x + 3

Step-by-step explanation:

4x + 2y = 6

⇔ 2y = $\frac{6 - 4x}{2} = \frac{6}{2} - \frac{4x}{2} = 3 - 2x = -2x + 3$

5 0

3 years ago

Which expression represents the difference between 2n and 15

ValentinkaMS [17]

Is these the choices to chose from:
<span>A) 2n-15
B) 15-2n
C) Both A and B
D) Neither A nor B

*If so, i think its C*</span>

4 0

3 years ago

Answer the question correctly

KatRina [158]

Answer:

1,152 (Yes, I know it seems like a lot but it’s correct)

Step-by-step explanation:

To find this answer, we need to do 32x36

Whenever you have a problem like this, you have to multiply all your different variables/factors in which in this case is 32 and 36

When you do this, you get 1,152 so that’s your answer!

Hope this helps and please award brainliest if possible!

6 0

2 years ago

Read 2 more answers