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9514 1404 393

Answer:

  240

Step-by-step explanation:

The generic k-th term of the expansion of the binomial ...

  (a +b)^n

is given by ...

  (nCk)a^(n-k)b^k . . . . . where nCk = n!/(k!(n-k)!) and 0 ≤ k ≤ n

For this problem, we have ...

  a=2x, b=y, n=6, k=2

Then the 2nd term (counting from 0) is ...

  6C2×(2x)^4×y^2 = (6·5)/(2·1)·16x^4·y^2

  = 240x^4y^2

The desired coefficient is 240.

_____

Additional comment

The coefficients for the expansion match the numbers in a row of Pascal's triangle. The row beginning with 1, n will have the coefficients for the expansion to the n-th power.

Answer:

Step-by-step explanation:

Find the m∠B:

a)

Find AC using law of cosines:

b)

Find m∠A using law of sines:

The bearing of C from A:

c)

Let the required distance is x:

Answer:

a) 16.4 km

b) 79 deegres.

c.10 km

Step-by-step explanation:

Find the m<B:

-m<B= 360 deegres -310 deegres) +50 deegres=100 deegres.

a)

Find AC using law of counsines:

-AC=( 8 to the second power + 13 to the second power - 28×13× cos 100 deegres.

16.4 km

Answer:

-2,3

Step-by-step explanation:

Answer:

2. 20

3. 9

4. 24

2.4(7-2)^1=4(5)=20

3.2(8-1)^0 + 7= 2×1 + 7= 2+7=9

4. 3×4 + 12= 12 + 12= 24

Answer:

SA=390

Step-by-step explanation:

9*14=126

126+126=252

14*3=42

42+42=84

9*3=27

27+27=54

252+84+54=390

Answer:

1.66 pounds

Step-by-step explanation:

4.98 dollars divided by 3 pounds

Answer:0.5

Step-by-step explanation:

1/2 devide by 3 = 0.16666666666

0.16666666666 times 3 = 0.5

Answer:

a

Step-by-step explanation:

Answer:

The first and the second equation is flipped... meaning you have to switch their places

Step-by-step explanation:

I think I did this before so good luck...

Answer:

Step-by-step explanation:

base = 7 units

height = 12 unit

Area of triangle = [tex]\frac{1}{2}*base * height\\[/tex]

                          [tex]= \frac{1}{2}*12*7\\\\=6 * 7 \\= 42 unit^{2}[/tex]

Answer:

You would have to have guess a number larger than 31500 and smaller than 38500

Step-by-step explanation:

The answer will look something like

35000 +/- 10% (35000)

What that means is that the attendance would be smaller than 35000 or larger than 35000.

10% * 35000 = 10/100 * 35000 = 350000 / 100 = 3500

So you would have to estimate

35000 - 3500 ≤ attendance ≤35000 + 3500

31500 ≤ attendance ≤ 38500

Answer:

$250 and 50 mugs

Step-by-step explanation:

690-440 then 250÷5 if that helps

Answer:

Step-by-step explanation:

It might be A or D I’m not for sure which one it is.

Hope this can help you <33

GL!

Answer: i just need the points, sorry

Step-by-step explanation:

Answer:

(3)

Step-by-step explanation:

Answer:

b) 1/8

Step-by-step explanation:

5/8 ÷ 5 = 1/8

The unit rate in cups per teaspoon is 1/8 cup of sugar.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

5/8 cup of sugar=5 teaspoons of vanilla.

or, 5 teaspoons of vanilla = 5/8 cup of sugar

So, 1  teaspoon of vanilla = (5/8)/5 cup of sugar

(5/8)/5 = (5/8)*(1/5)

(5/8)/5 =1/8

So, 1 teaspoon of vanilla = 1/8 cup of sugar

Hence, the unit rate in cups per teaspoon is 1/8 cup of sugar.

To get more about unitary methods visit:

https://brainly.com/question/24587372

Answer:

Question 1= EFC and GFH

Question 2=60

I'm not sure but I think its right!

Pls let me know

Also pls mark me brailiest

Answer:

Yes. In order for a shape to be qualified as a parallelogram It has to have 4 main properties. Opposite sides are parallel. Opposite sides have to be congruent. The opposite angles are congruent. Consecutive angles are supplementary (adds to 180-degrees). A rectangle qualifies all of these properties for a parallelogram. Opposite sides are parallel which works for a rectangle since they never intersects with the oppposit line. Opposite sides are congruent or equal which is also true becuase when looking at any 2 opposite sides of a rectangle, its always gonna be equal. Opposite angles are congurent which is also true because their all 90 degrees all are equal. And finally consecutive angles add up to 180. Soncsuive int his case basically means the angle next to that angle but we don’t have to worry about that since all angles of a rectangle are 90 and 90+90=180 so it also DOES qualify for a parallelogram.

Answer:

x = 73 °

Step-by-step explanation:

A pentagon has a collective degree of 540

So to find x, you have to set up an equation:

x + 127 + 112 + 108 + 120 = 540

To solve:

Combine like terms

x + 467 = 540

Subtract 467 on both sides:

x = 540 - 467

x = 73

Answer:

2

Step-by-step explanation:

Answer:

p= 9/22

Step-by-step explanation:

grouping of like terms

= -4-5 +8p-6p+20p

= -9 +22p

p =9/22

Answer:

I don't know I am a babysitter too :)

4x + 5y = -2

-5 -5

4x = -5y - 2

4x/4 = -5y -2/ 4

x = -5/4 y + -1/2

Answer:

17,280

formula is length times width times hight then you get the volume

Answer:

4

Step-by-step explanation:

Answer:

75.4 in. b. 7540 in. Find the diameter and radius of a circle with the.

Step-by-step explanation:

hope this helped !!!!!!

Answer:

3 ft/s

Step-by-step explanation:

The rate or speed of the remote control car, v = distance/time

Now, the distance travelled by the remote control car = 4/5 of a foot = 4/5 × 1 ft = 4/5 ft and the time it takes to cover this distance is 4/15 of a second = 4/15 × 1 s = 4/15 s.

So, v = distance/time

= 4/5 ft ÷ 4/15 s

= 4/5 ft × 15/4 s

= 3 ft/s

Answer:

#4 angle 1 = 154 degrees

#4 angle 2 = 26 degrees

#5 angle 1 = 97 degrees

#5 angle 2 = 82 degrees

#5 angle 3 = 83 degrees

Step-by-step explanation:

The image displays which angles are the same on line equations like these using color coding.

In order to translate between the green angle and the pink angle you subtract it from 180.

Equation: 180 - angle type 1 = angle type 2

Ex: 180 - 154 = 26