Santa is trying to buy socks for all his elf helping the year. He went on Amazon and found a pack of 8 socks for $24. He wants to know what each socks cost to be able to write an equation, and later he wants to know how much 12 socks with cost him.
I need the Ratio, Unit Rate, C.O.P. And an equation

The circumference of the wire is 4x and the area of the circle is 4x^2/π

The length of the wire is given as;

Length = 4x

This represents the circumference.

Hence, the circumference of the wire is 4x

In (a), we have:

Circumference = 4x

Calculate the radius using:

2πr = 4x

Divide through by 2π

r = 2x/π

The area is:

Area = πr^2

This gives

Area = π(2x/π)^2

Evaluate

Area = 4x^2/π

Hence, the area of the circle is 4x^2/π

Read more about circumference at:

https://brainly.com/question/14283575

#SPJ1

Answer: a) $171          b) $729

Step-by-step explanation:

a) 0.19 * $900 = $171

b) net pay = the money one earns after all deductions

$900 (what she earned) - $171 (taxes she had to pay) = $729

Answer:

I think that the coordinates are (2,3) but I'm not sure.

Step-by-step explanation:

Yes it does include the test point (0, 0)

switch sides

Multiply both sides by -1 reverses the inequality

Thus, the following (0, 0) comes under the following x > -5/3 and y > -5

The potential difference between xi = 10 cm and xf = 30 cm in the uniform electric field ex = 2000 v/m can be calculated using the formula: ΔV = Ex * Δx.  Therefore, the potential difference between the two points is 400 volts.

To find the potential difference between two points in a uniform electric field, we can use the formula:

Potential difference (V) = Electric field (E) × Distance (d)

In this case, the electric field (E) is given as 2000 V/m (ex = 2000 V/m). The distance (d) between the two points, xi = 10 cm and xf = 30 cm, is the difference between xf and xi, which is:

d = xf - xi = 30 cm - 10 cm = 20 cm

Now, convert the distance to meters:

d = 20 cm × (1 m / 100 cm) = 0.2 m

Now, we can find the potential difference (V):

V = E × d = 2000 V/m × 0.2 m = 400 V

So, the potential difference between xi = 10 cm and xf = 30 cm in the uniform electric field ex = 2000 V/m is 400 V.

to learn more about volts click here:

https://brainly.com/question/3631756

#SPJ11

The slides' result includes utility functions that are homogeneous of any degree, which covers the case of utility functions that are homogeneous of degree one mentioned in statement (a).

(a) To prove that a continuous preference relation is homothetic if and only if it can be represented by a utility function that is homogeneous of degree one, we need to show the two-way implication. If a preference relation is homothetic, it implies that there exists a utility function that is homogeneous of degree one to represent it. Conversely, if a utility function is homogeneous of degree one, it implies that the preference relation is homothetic.

(b) The result mentioned in the lecture slides states that any preference relation represented by a utility function that is homogeneous of any degree is homothetic. This statement is more general because it includes the case of utility functions that are homogeneous of degree other than one. So, the lecture slides' result encompasses the specific case mentioned in statement (a) as well.

Learn more about degree here:

https://brainly.com/question/364572

#SPJ11

Answer:

\(|-a| =a\)

Step-by-step explanation:

The value of 5.37/3 is 1.79.

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

The given term is 5.37 divided by 3,

The mathematical expression for 5.37 divided by 3,

= 5.37/3

= 1.79

The value of 5.37 divided by 3 is 1.79.

To learn more about Mathematical operations on:

https://brainly.com/question/12809457

#SPJ1

The range of the function is {-11, -9, -7, -5}.

The given function is g(x)=x−13.

We need to find the range of g(x).

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

Now, put x=2,4,6,8 in the given function and find the range of function.

So, g(2)=2−13=-11

g(4)=4−13=-9

g(6)=6−13=-7

g(8)=8−13=-5

Therefore, the range of the function is {-11, -9, -7, -5}.

To learn more about the range and domain of the function visit:

https://brainly.com/question/28135761.

#SPJ1

Answer:

Number 3 is 10

Step-by-step explanation:

16+13(10)=146

14(10)+6=146

Answer:

See answer below.

Step-by-step explanation:

# 3  x = number of boxes

     $16 + 13x = Tracy cost

     $6 + 14x = Brendan cost

     The costs are equal.  

    16 + 13x = 6 + 14x

     10 + 13x = 14x

      10 = x

#4   First plan                                                            second plan

      x = number of people at a table          x = number of people at a table

      y = number of people at a booths        y = number of people at a booths    

24x + 21y = 270       multiply by 23   ⇔   552x + 483y = 6210

 14x + 23y = 222      multiply by -21   ⇔ -294x  - 483y = -4662

                                                                   258x    =     1548

                                                                          x  = 6

Six people at each tables

 24 (6)  + 21y = 270                                      

   144 + 21y = 270

         21y = 126

            y = 6      

Answer: 6 people at each table; 6 people at each booth.

Answer:

Use the slope-intercept form to find the slope and y-intercept.

Slope: 2y-intercept: (0,3)

Step-by-step explanation:

Answer:

(0,3).

Step-by-step explanation:

for example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3).

Answer:

-6727.15234375

Step-by-step explanation:

Answer:A

........................

Answer:

Step-by-step explanation:

The slope of a perpendicular line, to one that has slope of 2, is the negative inverse of the reference slope.  The negative inverse of 2 is -(1/2).  The perpendicur line will have the form y = -(1/2)x + b, where b is the y-intercept.  Any value of b will produce a perpendicular line to one that has slope of 2, but this line needs to go through point (0,-3).  To find the value of b that would make this happen, just use that point in the equation y = -(1/2)x + b and solve for b:

y = -(1/2)x + b

-3 = -(1/2)*(0) + b

b = -3

The equation becomes y = -(1/2)x - 3

I graphed this versus a line with slope 2 and y-intercept of 2:  y=2x+2

Answer:

12 boxes per hour

Step-by-step explanation:

22 boxes in 1 5/6 hours

22 /11/6

22 *6/11=12

Hope this helps plz hit the crown :D

The interval on which function f is increasing is (0, e^(-1/7)). The interval on which function f is decreasing is  (e^(-1/7), ∞).

To find the intervals on which the function f(x) = x^7 ln(x) is increasing or decreasing, we need to find the first derivative of f(x) and determine its sign on different intervals.

First, we use the product rule and the chain rule to find the derivative of f(x):

f'(x) = (x^7)' ln(x) + x^7 (ln(x))'

f'(x) = 7x^6 ln(x) + x^6

Next, we find the critical points of f(x) by setting the derivative equal to zero and solving for x:

7x^6 ln(x) + x^6 = 0

x^6 (7ln(x) + 1) = 0

x = 0 or x = e^(-1/7)

Note that x = 0 is not in the domain of f(x) since ln(x) is undefined for x <= 0.

Now we can test the sign of f'(x) on different intervals:

Interval (-∞, 0): f'(x) is undefined since x is not in the domain of f(x).

Interval (0, e^(-1/7)): f'(x) is positive since both terms in f'(x) are positive.

Interval (e^(-1/7), ∞): f'(x) is negative since 7ln(x) + 1 < 0 for x > e^(-1/7).

Therefore, f(x) is increasing on the interval (0, e^(-1/7)) and decreasing on the interval (e^(-1/7), ∞).

Know more about interval here:

https://brainly.com/question/30460486

#SPJ11

Answer:

V = l x w x h

Step-by-step explanation:

Answer:

15 1/8 cups of oatmeal will be used

Step-by-step explanation:

Firstly, we shall be calculating the total number of dozens of muffin made

That would be the addition of the dozens of muffin made for the family reunion and that made for the club meeting = 3 + 2 1/2 = 5 1/2 or simply 5.5 dozens

Now, from the question initially, 2 3/4 or simply 2.75 cups of oatmeal makes 1 dozen muffins

x cups of oatmeal = 5.5 dozens of muffin

x * 1 = 2.75 * 5.5

x = 15.125 cups of oatmeal or simply 15 1/8 cups of oatmeal

Answer:

The geometric mean of x=275 and y=11 is 55

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

b because its just the only stand out answer

Answer:

6 Seconds

Step-by-step explanation:

The car come to a complete stop after the time of 6 seconds.

For the given question;

A car's velocity is modeled by v(t) = 0.5t² – 10.5t + 45.

The time inequality is given as; 0 ≤ t ≤ 10.5.

To calculate the time for which velocity becomes zero.

Put v(t) = 0.

v(t) = 0.5t² – 10.5t + 45 = 0

0.5t² – 10.5t + 45 = 0

Divide equation by 0.5.

t² – 21t + 90 = 0

factorize the values.

(t - 15)(t - 6) = 0

t = 15 and t = 6 seconds

As, 0 ≤ t ≤ 10.5.

Thus, t = 6 seconds.

Therefore, the car come to a complete stop after the time of 6 seconds.

To know more about the velocity, here

https://brainly.com/question/500702

#SPJ1

Answer:

32600000

Step-by-step explanation:

= 3.26 × 107

(scientific notation)

= 3.26e7

(scientific e notation)

= 32.6 × 106

(engineering notation)

(million; prefix mega- (M))

= 32600000

(real number)

To make a table of values for a linear relationship;

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Here,

We have to make a table of values for a linear relationship;

Learn more about linear relationship here;

https://brainly.com/question/27965422

#SPJ4

Step-by-step explanation:

5 × -8a = -40a

5 × -9 = -45

-40a - 45 = 5(-8a - 9)

5 × -8a = -40a

5 × -9 = -45

-40a - 45 = 5(-8a - 9)

Answer:

V = 64 cm^3

Step-by-step explanation:

Volume of a cube is given by

V = s^3 where s is the side length

V = 4^3

V = 64 cm^3

Answer:

64

Step-by-step explanation:

i guess so as the volume is 4×4×4

Answer:

B

Step-by-step explanation:

Open circle means the number is not included.

Hope this helps <3

The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

To know more about the expression:-

https://brainly.com/question/14083225

Using the concept of probability of independent events, the probability of the events are 2/21, 25/441 and 5/147

If the probability of occurrence of an event A is not affected by the occurrence of another event B, then A and B are said to be independent events.

To determine the probability of the independent events;

a. The probability of a blue marble first and red marble second.

From the data given;

blue marble = 14

red = 12

total number of marble = 42

The probability of this event = 14/42 * 12/42 = 2/21

b. The probability of a yellow marble both times?

yellow marble = 10

probability = 10/42 * 10/42 = 25/441

c. The probability that you draw a yellow marble first and a green marble second

yellow marble = 10

green marble = 6

Probability = 10/42 * 6/42 = 5/147

learn more on probability of independent events here;

https://brainly.com/question/115470

#SPJ1

since r is so widely used, it is appropriate to calculate r for nonlinear data: False.

The calculation of r (Pearson's correlation coefficient) is based on the assumption that the relationship between the two variables is linear. Therefore, it is not appropriate to calculate r for nonlinear data as it may give misleading results.

In summary, it is not appropriate to calculate r for nonlinear data as it assumes a linear relationship between the variables. Other methods such as Spearman's rank correlation or Kendall's tau may be used for nonlinear data.


n: The correlation coefficient 'r' is specifically designed to measure the strength and direction of a linear relationship between two variables. While it is widely used, calculating 'r' for nonlinear data is not appropriate, as it will not accurately capture the true nature of the relationship between the variables.

When dealing with nonlinear data, it is better to use other statistical methods designed for such data, rather than relying on the correlation coefficient 'r'.

To know more about nonlinear, visit:

https://brainly.com/question/31510530

#SPJ11

You need to mix 60 liters of the 40% alcohol solution with 60 liters of the 60% solution to get a 50% solution.

Let's solve the problem step by step:

Step 1: Define the variables:

Let x be the number of liters of the 40% alcohol solution that needs to be mixed.

Step 2: Write the equation based on the alcohol content:

In the final mixture, the amount of alcohol from the 40% solution and the amount of alcohol from the 60% solution should be equal.

Alcohol from the 40% solution + Alcohol from the 60% solution = Total alcohol in the mixture

0.40x + 0.60(60) = 0.50(x + 60)

Step 3: Solve the equation for x:

0.40x + 0.60(60) = 0.50x + 0.50(60)

0.40x + 36 = 0.50x + 30

0.10x = 6

x = 6 / 0.10

x = 60

Know more about alcohol solution here:

https://brainly.com/question/897301

#SPJ11