Use the binomial formula to find the coefficient of the q22p² term in the expansion of (q-2p)24.
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Answer:

The median number of shoes for the girls is greater than the median number of shoes for the boys.

Answer:

The first answer is correct

Step-by-step explanation:

< O Z Q = < O Z P  + < Q Z P

Given that,

< O Z Q = 12x - 4

< O Z P = 6x + 4

< Q Z P = 3x + 10

Let us solve it now.

< O Z Q = < O Z P  + < Q Z P

12x - 4 = 6x + 4 + 3x + 10

Combine like terms and make the x as the subject.

12x - 4 = 9x + 14

12x - 9x - 4  = 14

3x - 4 = 14

3x = 14 + 4

3x = 18

Divide both sides by 3.

x = 6

Answer:

  18

Step-by-step explanation:

The summation symbol is telling you there are 4 terms of the sum. The values of x in the terms range from 1 to 4.

__

The expanded form of the sum is ...

  (1 +2) +(2 +2) +(3 +2) +(4 +2)

  = 3 +4 +5 +6 = 18

The sum is 18.

_____

Additional comment

The sum can be rewritten as ...

  [tex]\displaystyle \sum_{x=1}^4{(x+2)}=\sum_{x=1}^4{x}+\sum_{x=1}^4{2}=\dfrac{4(4+1)}{2}+4\times2=10+8=\boxed{18}[/tex]

This way, you need to know the sum of integers from 1 to n is (n/2)(n+1). It may be easier just to write the terms out as we have done above.

Answer: 1.9

Step-by-step explanation:

Question 11

9.88 rounds to 10

5.2 rounds to 5

10/5 = 2

Answer:

  f(4) = 0

Step-by-step explanation:

For many sequences that involve recursive formulas, the quickest way to find the value of a given term is to evaluate those leading up to it. That seems to be the case here.

The next term after the one given is ...

  f(2) = f(1)² -1 = 1² -1 = 0

Then we have ...

  f(3) = f(2)² -1 = 0² -1 = -1

  f(4) = f(3)² -1 = (-1)² -1 = 0

The value of f(4) is 0.

_____

Additional comment

Now that we have seen a few terms of the sequence, we can write an explicit formula for the terms after the first:

  f(n) = (-1 +(-1)^n)/2 . . . integer n ≥ 2

The value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

It is defined as the combination of constants and variables with mathematical operators.

We have:

[tex]\rm = 3^{\dfrac{6}{5}}[/tex]

We can write it as:

[tex]\rm = \sqrt[5]{3^6}[/tex]

The value of a = 3,

The value of b = 6, and

The value of c = 5

Thus, the value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

Learn more about the expression here:

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Answer:

i think its D.

Step-by-step explanation:

i just counted

Answer:

4 1/4 lbs of onions = 1llb so there are 4 x 3 servings = 12 servings in 1 lb 6 servings in 1/2 lb total of 12+6= 18 servings you can also use ratio and proportion converted to decimals to eliminate fractions ,25/3= 1.5/x cross multiply .25x= 4.5 x=18 hope this helps

Step-by-step explanation:

Answer:

b=20

Step-by-step explanation:

[tex] {b}^{2} = {c}^{2} - {a}^{2} \\ b = \sqrt{ {25}^{2} - {15}^{2} } \\ b = 20[/tex]

Answer:

    x = 9

Step-by-step explanation:

Sum of all angles of a triangle = 180

                63 + 7x + 6x  = 180

                  63  +  13x    =180

                             13x   = 180 - 63

                              13x  = 117

                                 x  = 117/13

x = 9

Answer:

X= 9

Step-by-step explanation:

The angles in a triangle all add up to 180°

Hence we can form this equation :

63 + 7x + 6x = 180°

Subtracting 63 from both sides:

7x + 6x = 117°

Adding together to find the total X:

13x = 117°

Finally, diving by 13 on both sides:

X = 9

Answer:

b = 8

Step-by-step explanation:

1.3b + 2 = 12.4

- Subtract 2 from both sides

1.3b = 12.4 - 2

- Subtract 2 from 12.4 to get 10.4.

1.3b = 10.4

- Divide both sides by 1.3.

b = [tex]\frac{10.4}{13}[/tex]

- Expand [tex]\frac{10.4}{13}[/tex] by multiplying both numerator and the denominator by 10.

[tex]b = \frac{104}{13}[/tex]

- Divide 104 by 13 to get 8.

Answer: 5/12

Step-by-step explanation: basically divide each number (10 &24) by 2

Answer:

D) m=2.55, b=-6.435

Step-by-step explanation:

See attached file ("a" represents the slope and "b" represents the y-intercept).

Answer:

[tex]\frac{3}{20}[/tex]

Step-by-step explanation:

slope/gradient=[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

                        =[tex]\frac{-9.75+9}{-1-4}[/tex]

                        =[tex]\frac{3}{20}[/tex]

Answer:

6.5 = h + 2

h = 4.5

Step-by-step explanation:

We are given h and since she did 2 additional hours of work, we add the 2 hours. and since we are trying to find h, we set the equation equal to 6.5

Step-by-step explanation:

(x - h)² + (y - k)² = r²

with (h, k) being the center and r the radius.

in our case the center is (1, 3), the radius is 3.

so, the right answer is the third answer option

(x - 1)² + (y - 3)² = 9

Answer:

C. 60

Step-by-step explanation:

The thickness of each sheet of paper is 0.0012mm.

To find the thickness of each sheet of paper answer in millimeters​.

The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.

Given that:

A ream of A4 paper contain 500 sheets the size of each paper is 297mm long and 210mm wide the volume of the ream is 3742.2cm.

To convert cm in mm.

3742.2cm=37422 mm

Surface 1 sheet:

(297mm) X 210mm) =

62370[tex]mm^{2}[/tex]

Volume 1 sheet:

37422mm : 500 =

74.844mm

Thickness of 1 sheet:

74.844mm : 62370mm =

0.0012mm

So, the thickness of each sheet of paper is 0.0012mm.

Learn more about mensuration here:

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Answer:

The value of x is equal to 109

[tex]y = 4^{-2}[/tex] = [tex]\frac{1}{16}[/tex]

[tex]y = 4^ {1}[/tex] = [tex]\\ 4[/tex]

[tex]y = 4^{3}[/tex] = [tex]\\ 64[/tex]

Answer:

H=4.243

Step-by-step explanation:

Formula: A^2+B^2=C^2

(3)^2+(3)^2=C^2

9+9=C^2

sqrt18=C

C=4.242640....

Answer: 30.5

Step-by-step explanation:

Answer:

740

Step-by-step explanation:

10^2 = 100

So 7.4 * 10^2

= 740

Answer:

2)   10.01 year

Step-by-step explanation:

1) already answered elsewhere in your posts

2)    9000 = 6500 e^(.0325 * t)          where t = years

      9000/6500 = e^(.0325*t)          take ln (natural log) of both sides

      .3254224 = .0325t

        t = 10.01      10.01 year

Answer:

Below in bold.

Step-by-step explanation:

-8xy-6xz + 10xy + 9xz - 4yx    (Note 4yx = 4xy)

Bringing like terms together we have:

-8xy + 10xy - 4xy - 6xz + 9xz

= -2xy + 3xz.

m² - 4m - 1 + m² - 8m + 5-6m² +3m - 1

= m² + m² - 6m² - 4m - 8m + 3m - 1 + 5 - 1

= -4m² - 9m + 3.

Answer:

$1320

Step-by-step explanation:

4%=0.04

Intrest = 0.04x8

Intrest = 0.32

Intrest = 1000x0.32

Intrest = 320

Then add 1000+320=1320

Answer:

the answer is C

Step-by-step explanation:

as you can see f(x) cut g(x) 3 time ( sorry for my bad English )

Answer:

0.91 g/cm³

Step-by-step explanation:

Density Formula

Solving