The coefficients corresponding to k=0,1,2, ...,6 in the expansion of (x + y)^6 are ___.

A. 0, 1, 6, 15, 15, 6, 1, 0

B. 1, 6, 15, 20, 15, 6, 1

C. 0, 6, 15, 20, 15, 6, 0

D. 1, 6, 15, 15, 6, 1

Answer:

Step-by-step explanation:

Angle addition postulate:

angle FGB = 105°

angle BGH = 54°

The measure of angle FGH.

angle FGB + angle BGH = angle FGH

By putting the respected values, we get

105° + 54° = angle FGH

or, 159° = angle FGH

The measure of angle FGH is 159° .

Answer:

[tex]101 * 102 = 10302[/tex]

Step-by-step explanation:

Given

[tex](x + a)(x + b) = x^2 + (a + b)x + ab[/tex]

Required

Find 101 * 102

[tex]101 * 102 =[/tex]

Express as a sum of 100

[tex](100 + 1) * (100 + 2)[/tex]

Compare this to [tex](x + a)(x + b)[/tex]

We have that:

[tex]x = 100[/tex]

[tex]a = 1[/tex]

[tex]b = 2[/tex]

Recall that:

[tex](x + a)(x + b) = x^2 + (a + b)x + ab[/tex]

Substitute 100 for x, 1 for a and 2 for b

[tex](100 + 1) * (100 + 2) = 100^2 + (1 + 2) * 100 + 1 * 2[/tex]

[tex](100 + 1) * (100 + 2) = 100^2 + 3 * 100 + 2[/tex]

[tex](100 + 1) * (100 + 2) = 10000 + 300 + 2[/tex]

[tex](100 + 1) * (100 + 2) = 10302[/tex]

Hence:

[tex]101 * 102 = 10302[/tex]

Answer:

Charlotte is right; m=1/3

Step-by-step explanation:

On the graph, you can pick 2 points to find slope with slope formula:

(y2-y1)/x2-x1)

Two points we can choose from the graph are (0,0) and (1,3).

Now we plug these into our formula:

(1-0)/(3-0)

1/3

HTH :)

Answer:

5 is -20

7 is -5

Answer:

[tex]5. \: -8/ -2 × -5 = -20[/tex]

[tex]7. \: \\ -25/5 × -40/8 = - 25[/tex]

[tex]have \: a \: safe \: life[/tex]

Answer:

Commission-An instruction/command given to a person or group of people.

Answer:

It’s basically an instruction, command, or role given to a person or group.

Step-by-step explanation:

Answer:

A(-4.5,-3), B(0,2), C(4,1)

Step-by-step explanation:

u just look at their positoions and u go to left side or right side first, then up or down.

left and down are negative.

right and up are positive.

Answer:

21

Step-by-step explanation:

Answer:

-8 and 3

Step-by-step explanation:

The asked numbers are -8 and 3.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, two numbers multiply to -24 and add up to -5

Let the two numbers be x and y

x+y = -5...(i)

xy = -24

x = -24/y...(ii)

Put eq (ii) in eq (i)

-24/y + y = -5

-24 + y² = -5y

y²+5y-24 = 0

Factorizing,

y = 8 and 3

Taking y = 3, put it in eq(ii)

x = -24/3

x = -8

Hence, the asked numbers are -8 and 3.

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Answer:

see explanation

Step-by-step explanation:

(a)

Consider the denominator

To obtain 5xy from x , multiply by 5y

Thus numerator is multiplied by 5y, that is

[tex]\frac{1}{x}[/tex] = [tex]\frac{5y}{5xy}[/tex]

(b)

Consider the numerator

To obtain 5ab² from ab, multiply by 5b

Thus denominator is multiplied by 5b, that is

[tex]\frac{ab}{2c}[/tex] = [tex]\frac{5ab^2}{10bc}[/tex]

The possible values of the solutions to the equations are; (π/4, 7π/4)

We are given the equation;

sin(5x - π) = (√2)/2

Now, (√2)/2 is also expressed as 1/√2.

Thus;

sin(5x - π) = 1/√2

5x - π = sin⁻¹(1/√2)

5x - π = π/4

5x = π + π/4

5x = ⁵/₄π

Thus;

x = π/4

Now, since x < 2π, then it means it is in the fourth quadrant. Thus;

x = 7π/4

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the answer is  34

in order to find answer:

enter tan^-1( 2/3 into calculator

2 is on oppisite side and 3 is on adjacent so we use tan = o/a

Answer:

7

Step-by-step explanation:

7 is not a factor of 48, since 7 can not be multiplied by another whole number to get 48. (48 divided by 7 is 6.8)

Answer:

7

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

simple

Answer:

-9n+108

Step-by-step explanation:

-12n+3(n+36)

-12n+3n+108

-9n+108

Answer:

-9n+108

Step-by-step explanation:

distribute then combine like terms

Answer:

Your answer would be k+k because you're adding a number by itself which is the same as multiplying by 2

Answer:

here it is

Step-by-step explanation:

hope you understand

Answer:

2 + i

Step-by-step explanation:

Given

[tex]\frac{4+\sqrt{16-(4)(5)} }{2}[/tex]

= [tex]\frac{4+\sqrt{16-20} }{2}[/tex]

= [tex]\frac{4+\sqrt{-4} }{2}[/tex]

= [tex]\frac{4+2i}{2}[/tex]

= 2 + i

Answer:

i need a pic of the graph to tell you the answer

Step-by-step explanation:

Answer:

121cm −25πcm ≈42.46cm

Step-by-step explanation:

First, calculate the area of the whole figure, including the unshaded area.

(The area of a rectangle is the length times the width.)

Next, calculate the area of the inner figure.

π×5cm×5cm=25πcm

Finally, subtract the area of the inner circle from the area of the outer rectangle.

Answer:

she can by 5 pounds of raspberries

Step-by-step explanation:

4 - 19 = 15

15 ÷ 3 = 5

There wiuld be 7 winning tickets and 28 losing tickets in the bag

Answer: D.

Step-by-step explanation:

The last statement is false.

Answer:

1 is false.

Step-by-step explanation:

1. Look at the signs.

2. Look at the number itself. If you are dealing with a positive, you count up to get higher numbers. If you are dealing with a negative(a number with - at the beginning) you count up to get lower numbers.

3. Compare the decimal in the number to the decimal in the other number.

4. Look at the greater-than and less-than signs.

5. Use what you know about positive and negative numbers and decimals and apply that to the statement. If the statement makes sense, it is true. If the statement does not make sense, it is false.

Answer:

The circumference of the tree will be: 25.12 inches

Step-by-step explanation:

The radius of the tree = r = 4 inches

As the tree is sold based on the circumference of the tree.

The formula of the circumference = C = 2πr

                                                               = 2(3.14)(4)     ∵ r = 4 inches

                                                               = 25.12 inches

Therefore, the circumference of the tree will be: 25.12 inches

Answer:

$150

Step-by-step explanation:

Well we know that 10% is going to equal 1/10 of 100%.

So now just multipy 15% times 10 to get the original price.

Answer:

80°

Step-by-step explanation:

alternate angles are equal

angles in a straight line add upto 180°

therefore angle ABC =80°

But it is alternate to the one at x.

Answer:

x = 80°

Step-by-step explanation:

∠CBD = ∠ABF  

          = 100°

(Vertically opposite angles are equal and AD and EH are parallel with CG cutting across both lines)

∠x = 180°-100°

    = 80°

(∠ABF and ∠x are consecutive interior angles as they are within two parallel lines so they add up to 180°)

Answer:

No

Step-by-step explanation:

Answer:

0 cannot go into 4

4 can go into 8

8 cannot go into 12

Answer:

She will learn 15 appetizer recipes.

Step-by-step explanation:

Here's why........because 2 weeks equals 5 so if you divide 6 and 2 you will get 3 and multiply that by 5 you get 15.