The Woodman Firewood Company delivers natural firewood to homes in Manhattan,
They charge a certain amount per cord for firewood and a fixed amount for each delivery,
no matter how many cords are delivered. My bill from WFC last winter was $155 for one
cord of wood, and my neighbor's bill was $215 for one and one-half cords. What is the
charge for each cord of wood and what is the delivery charge?

Answer:

i guess there is no difference even if u bought two 10 inch pizza which would totally cost $22 and one 20 inch pizza which is also $22.....

I guess the only problem would be you had to two pizza for the first where as for the second one u would hold one which would be easier....

Step-by-step explanation:

Hope it helps!!!

Hello.

We have:

Plug the values into the Point-Slope Formula:

[tex]\mathrm{y-y_1=m(x-x_1)}[/tex]

[tex]\mathrm{y-38=6(x-5)}[/tex]

[tex]\mathrm{y-38=6x-30}[/tex]

[tex]\mathrm{y=6x-30+38}[/tex]

[tex]\Large\boxed{\sf{ \ y=6x+8}}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

Question:

[tex]\textsf{factor : \ } x^4+\dfrac{1}{x^2}[/tex]

Rewrite the expression using the exponent rule [tex]\dfrac{a^b}{a^c}=a^{(b-c)}[/tex]

[tex]\implies x^4+\dfrac{1}{x^2}=\dfrac{x^6}{x^2}+\dfrac{1}{x^2}[/tex]

Factor out common term [tex]\dfrac{1}{x^2}[/tex] :

[tex]\implies \dfrac{1}{x^2}(x^6+1)}[/tex]

Factor [tex](x^6+1)[/tex]:

Apply the exponent rule [tex](a^b)^c=a^{bc}[/tex] to get cubic exponents:

[tex]\implies x^6+1 = (x^2)^3+1^3[/tex]

Apply the sum of cubes formula: [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

where [tex]a=x^2[/tex] and [tex]b=1[/tex]:

[tex]\implies (x^2)^3+1^3=(x^2+1)((x^2)^2-x^2 \cdot 1+1^2)[/tex]

[tex]\implies (x^2+1)(x^4-x^2+1)[/tex]

Therefore,

[tex]\implies \dfrac{1}{x^2}(x^6+1)}=\dfrac{1}{x^2}(x^2+1)(x^4-x^2+1)[/tex]

Simplify by dividing the 2nd parentheses by [tex]x^2[/tex]:

[tex]\implies (x^2+1)\left(\dfrac{x^4-x^2+1}{x^2}\right)[/tex]

[tex]\implies (x^2+1)\left(x^2-1+\dfrac{1}{x^2}\right)[/tex]

Factor out [tex]x[/tex] from first parentheses:

[tex]\implies x\left(x+\dfrac{1}{x}\right)\left(x^2-1+\dfrac{1}{x^2}\right)[/tex]

Answer:

c) 98

Step-by-step explanation:

let the number be x

x/-7 = -14

=> x= -14*-7

=> x = 98

Answer:

y/4

Step-by-step explanation:

b/c y is divided 4 so,y/4.

Answer:

the number y divided by 4

Step-by-step explanation:

You’d have to solve for y but it’s still the same thing

Answer:

It depends on what the equation equals

Step-by-step explanation:

2x=1 x=.5 or 1/2

2x=2 x=1

2x=14 x=7

2x=102 x=51

Answer:

6 quarters and 6 dimes

Step-by-step explanation:

since there is 6 quarters it would be 6x$.25 which is $1.50, and each dime is worth 10 cents so 6x$.10 is $.60, and $1.50+$.60=$2.10

53.55 / 85 = 0.63

0.63 * 100 = 63

63 - 38 = 25

watch was 25 before discount

The best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.

Since the sample is normally distributed and has a mean μ = 98.52 F and a standard deviation, σ = 0.727 F and we need to find the percentage of all womenat this university who have a body temperature more than 2 standards deviations above the mean.

Since the sample is normally distributed, 50% of the sample is below the mean. We have 34% of the sample at 1 standard deviation away from the mean and 47¹/₂% at 2 standard deviations above the mean.

So, the percentage below 2 standard deviations from the mean is 50% + 47¹/₂% = 97¹/₂%.

So, the percentage above 2 standard deviations from the mean is 100% - 97¹/₂% = 2¹/₂% = 2.5 %

Since 2.28 % is the closest to 2.5 % from the options, the best estimate is 2.28 %.

So, the best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.

Learn more about normal distribution here:

https://brainly.com/question/25800303

Answer:

x = 3, x = 1

Step-by-step explanation:

Okay, let's set the equation = 0:

3x^2 -12x + 9 = 0

Then, we factorise. To do this, we have to find 2 numbers which have a product of 9 and add up to -12. There are a few ways to do this, but a simple try and error is the easier when using numbers which don't have many factors. So here we know that to get a product of 9, there are only 2 options: 9*1 and 3*3. Now we have to figure out which of these add up to -12. But to do this, we have to take into account the 3, from the x^2 coefficient. This allows to know that the numbers will be 9*1. Then we just need to change the signs to make it work. This would give: -9*-1 (with 3*-1).

The fully factorised equation would be (3x-9)(x-1). Following this, you can always expand it quickly, to check that it really works correctly.

Now let's solve. (3x-9)(x-1) = 0

We say that when two numbers multiplied by each other equal to zero, one of them has to be zero. So if (3x - 9) was equal to 0:

3x - 9 = 0

3x = 9

x = 9/3

x = 3/1

x = 3

Now for the other:

x - 1 = 0

x = 1

Answer:

(5/6), -(5/6)

Step-by-step explanation:

See attached image

Answer:

x(x - 2)² (2x + 1)

Step-by-step explanation:

x³ - 4x² + 4x

x (x² - 4x + 4)

x (x - 2) (x -2) or x (x - 2)²

2x² - 3x - 2

(2x² - 4x) ( 1x - 2 )

2x( x - 2) +1 (x - 2)

(2x + 1) (x - 2)

I hope this helps!

Answer:

[tex]thats \: the \: answer \: pls \: brainliest[/tex]

Step-by-step explanation:

happy to help u

pls mark me as brainlist

Answer:

C is your answer, the extended version.

Step-by-step explanation:

Siri.

Answer:

60°  and 180°

Step-by-step explanation:

Sum of interior angles of a polygon = (n - 2) × 180°

(where n is the number of sides)

A hexagon has 6 sides

⇒ Sum of interior angles of a hexagon = (6 - 2) × 180° = 720°

Let x = smallest unknown angle

Therefore, 3x = largest unknown angle

Sum the angles and solve for x:

⇒ 114° + 130° + 140° + 96° + x + 3x = 720°

⇒ 480° + 4x = 720°

⇒ 4x = 720° - 480°

⇒ 4x = 240°

⇒ x = 60°

Therefore, smallest unknown angle = 60°

and largest unknown angle = 3 × 60° = 180°

Answer:

77 is the ninth term.

Step-by-step explanation:

You start out with adding 3 and every time you add a new number you add the last number you added to it and add 2.

Answer:

x=5;y=12

Step-by-step explanation:

Hope this answer helps you

Answer:

1st option

Step-by-step explanation:

the figure is a kite

the horizontal diagonal bisects the vertical diagonal , then

x = 5

The diagonals are perpendicular , so using Pythagoras' identity

x² + y² = 13²

5² + y² = 13²

25 + y² = 169 ( subtract 25 from both sides )

y² = 144 ( take square root of both sides )

y = [tex]\sqrt{144}[/tex] = 12

X=2

El mejor programa  para que te ayuda es Math,

way

We muss add the polynomic expression [tex]x^{2}+16\cdot x = -8[/tex]  by 64 on both sides.

In this question we must apply the completing the square method to solve a quadratic equation, which consists in apply algebra properties to reduce part of a expression into a square perfect trinomial.

According to the step 2, we have the following expression:

[tex]x^{2}+16\cdot x = -8[/tex]   (1)

By applying the principle of compatibility with addition and definition of addition, we have the following expression:

[tex]x^{2}+16\cdot x + 64 = - 8 + 64[/tex]

[tex]x^{2}+16\cdot x +64 = 56[/tex]

Now we proceed to solve the given expression:

[tex](x+8)^{2} = 56[/tex]

[tex]x+8 = \pm 2\sqrt{14}[/tex]

[tex]x = -8 \pm 2\sqrt{14}[/tex]

We muss add the polynomic expression [tex]x^{2}+16\cdot x = -8[/tex]  by 64 on both sides. [tex]\blacksquare[/tex]

To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/17822016

Answer:

6sqroot(3)

Step-by-step explanation:

see image.

Answer: 11.786

Step-by-step explanation:

Well the key words here are how much faster, meaning you need to subtract so 55.456-43.67 is 11.786

Answer:

33

Step-by-step explanation:

(

5

−

√

x

)

2

=

5

2

−

(

2

×

5

×

√

x

)

+

x

=

25

−

10

√

x

+

x

=

(

x

+

25

)

−

10

√

x

In order to eliminate the irrational

−

20

√

2

term with

x

and

y

being integers, we must have:

−

10

√

x

=

−

20

√

2

Divide both sides by

−

10

to get:

√

x

=

2

√

2

So

x

=

(

2

√

2

)

2

=

8

y

=

x

+

25

=

8

+

25

=

33

Answer:

5 groups of 5

Step-by-step explanation:

No. of students = 32
No. of students in each group = 5
No. of students  in ONE group = 7
No. of groups of 5 = 32 - 7
                               = 25
                               = 25/5 = 5

After the rotation fo 180°, we will get the rectangle J'K'L'M', it can be seen in the image at the end of the answer.

A rotation of 180° always moves the figure 2 quadrants. In this case, the figure starts on the second quadrant, so after the rotation, the figure will be on the fourth quadrant.

Such that the point (x, y) will be transformed into (-x, -y).

The original coordinates of the vertices of our figure are:

Then the image after the transformation is:

The graph can be seen below.

If you want to learn more about rotations, you can read:

https://brainly.com/question/4289712

Answer:

92

Step-by-step explanation:

Answer:

52.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

346.36

Step-by-step explanation:

C=piD

so the21 is theD

A=piR^2

R=D/2(1/2D)

A=22/7×21/2^2=346.36