What is the equation in slope-intercept form of the line that passes through the points(-4,2) and (12,6) .​

Given the set of numbers:

To be able to determine their correct ascending order, we must first make all the numbers into similar forms.

Let's convert a

Answer:

8 cm

Step-by-step explanation:

:)

well, we know that R, S and T are on the same straight line, hmmmm wait a second!! that means that the slope for RS must be the same as the slope for ST, heck, what's the slope for ST anyway?

\(S(\stackrel{x_1}{3}~,~\stackrel{y_1}{8})\qquad T(\stackrel{x_2}{1}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{3}}} \implies \cfrac{ -6 }{ -2 } \implies 3\)

ahha!! that means that the slope for RS is really 3, hmmmm

\(R(\stackrel{x_1}{4}~,~\stackrel{y_1}{t})\qquad S(\stackrel{x_2}{3}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{t}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{4}}} ~~ = ~~\stackrel{\textit{\LARGE m}}{3} \\\\\\ \cfrac{8-t}{-1}=3\implies 8-t=-3\implies 11-t=0\implies 11=t\)

Answer:

1.6lb

30oz

800g

Step-by-step explanation:

That's the order.

4(3)(2)/2 + 2² = 12 + 4 = 16

Answer:

1350

Step-by-step explanation:

A regular dodecagon has 12 congruent sides.

Find the sum of the interior angles:

180∘⋅ (12−2)= 180∘  ⋅10

= 1800 /12 = 150∘

Divide the sum of the interior angles by the number of interior angles

Multiply by 9:

150 ∘ ⋅9= 1350

The sum of 9 angles of a regular dodecagon is 1350

The sum of 9 interior angles of the dodecagon is A = 1350°

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the polygon be represented as P

Now , P = dodecagon

The number of sides for P = 12 sides

And , sum of interior angles = (n - 2) x 180° , where n is the number of sides

The sum of interior angles = (12 - 2) x 180°

The sum of interior angles = 10 x 180°

The sum of interior angles = 1800°

To find the sum of 9 of the interior angles, we can divide the total by 12 (the number of angles in the dodecagon) and then multiply by 9:

The sum of 9 interior angles = (9/12) x 1800°

The sum of 9 interior angles = 1350°

Hence , the sum of 9 of the interior angles of a regular dodecagon is 1350°

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Answer:

\(62.8 = 3.14 \times x \\ x = \frac{62.8}{3.14} \\ = 20\)

The value of each investment scenario based on the given interest compounded will be:

Let's discuss each scenario we have.

The value of Rod's annuity after 20 years will be $30,904.95. This is calculated by using the formula A = P((1+r/n)^(nt)), where P is the payment, r is the annual interest rate (7.88%), n is the number of times compounded per year (quarterly, or 4), and t is the number of years (20).

The value of Bubba's investment after 25 years will be $41,438.55. This is calculated by using the formula A = P((1+r/n)^(nt)), where P is the payment, r is the annual interest rate (7.26%), n is the number of times compounded per year (monthly, or 12), and t is the number of years (25).

The equivalent APY for the account at Crab Key Bank with an annual interest rate of 5.15% compounded quarterly is 5.25%. This is calculated by using the formula APY = (1+r/n)^n - 1, where r is the annual interest rate (5.15%), and n is the number of times compounded per year (quarterly, or 4).

The difference between an investment earning 8.75% annual interest compounded quarterly and one earning 8.7% compounded monthly is the number of times the interest is compounded each year. An investment earning 8.75% compounded quarterly has an interest rate of 8.75% that is compounded four times per year, while an investment earning 8.7% compounded monthly has an interest rate of 8.7% that is compounded twelve times per year.

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Answer:

8/9

Step-by-step explanation:

the equation is x = k / y

when x = 2 & y = 8 then k is 16

when you is 18 then x = 8/9

Answer:

Looks like you gave the answer already.

a = 8 and c = 5.5

Step-by-step explanation:

2a + 4c = 38.00  --> x3 --> 6a + 12c = 144

3a + 3c = 40.50 --> x2 --> 6a + 6c = 81

6c = 33

c = 5.5

a = 8

Hi! The answer would be all real numbers!

Hope this helps! :)

The most appropriate statistic for determining whether men and women differ in their book preferences is the two-sample proportion test.

In a two-sample proportion test, proportions from two distinct groups are compared to see if there is a statistically significant difference between them. The sample proportions of men and women who prefer printed books vs e-books, as well as the standard error of the difference between these proportions, must be determined in order to execute this test.

The test statistic would then be calculated using these data, and it would be compared to a critical value derived from a conventional normal distribution or a p-value obtained using statistical software.

The two-sample proportion test is thus the best statistic to determine if there are differences between men's and women's preferences for books.

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Answer:

2,9 , 12

NO

3,5,8

No

10,12 , 15

Yes

4,4,7

Yes

Step-by-step explanation:

Here, we want to know if the set of given sides will form a triangle

Mathematically, for a triangle to be formed, the sum of two sides must be greater than the third side

If we have a, b and c as sides of a triangle, then mathematically (

a + b > c

a + c > b

and b + c > a

If at any point, these does not work, then we can’t have a triangle

Let us consider the lengths one after the other

We proceed as follows;

2 9 12

Since 2 + 9 is not greater than 12, we cannot have a triangle

3 , 5, 8

Since 3 + 5 equals 8 and not greater than it, we cannot have a triangle

10 , 12 , 15

This forms a triangle

10 + 12 > 15

10 + 15 > 12

12 + 15 > 10

Lastly;

4 , 4 , 7

Since ;

4 + 4 > 7

and

4 + 7 > 4

we have a triangle

Other than the unit of measurement i am genuinely confused by this because (as far as I know) there is no possible way of figuring this out. The unit is obviously meters but I have no idea what the answer is. You should ask your teacher to explain it to you because it's confusing.

Answer:

Step-by-step explanation:

The answer is 2640 quarts. Your Welcome.

There are many expressions that are equivalent to 4y + 12, which can be obtained by using algebraic operations to manipulate the expression while maintaining its value. Here are a few examples:

12 + 4y

2(2y + 6)

4(y + 3)

8y/2 + 12

4(y + 3) - 3y + y

2(2y + 6) + 2(y - 3)

4y + 9 + 3

4y - 4 + 16

These are just a few examples. There are many other expressions that are equivalent to 4y + 12, depending on what operations you apply and how you choose to represent them.

In mathematics, an expression is a combination of mathematical symbols, numbers, and/or variables, that represents a value or a relationship between values. It may include arithmetic operations such as addition, subtraction, multiplication, and division, as well as algebraic operations such as powers, roots, and logarithms.

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The correct answer is C. -1 ≤ r ≤ 1. The correlation coefficient, r, is a measure of the strength and direction of a linear relationship between two variables. It can take on any value between -1 and 1, inclusive.

A correlation coefficient of -1 indicates a perfect negative correlation, where as one variable increases, the other variable decreases in a perfectly linear fashion. A correlation coefficient of 0 indicates no linear relationship between the two variables. A correlation coefficient of 1 indicates a perfect positive correlation, where as one variable increases, the other variable increases in a perfectly linear fashion.

Therefore, statement A is not correct as it only includes the positive values of r. Statement B is not correct as it does not include negative values of r. Statement C is correct as it includes all possible values of r.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Equation A

Equation B

Answer:

The slope is 2.5

Step-by-step explanation:

7-2=5. 4-2=2

5/2=2.5

Answer:

7

Step-by-step explanation:

10/2+6/3 = 5+2 = 7

Answer:

7

Step-by-step explanation:

first of all, put c as 6 and d as 10

10/2+6/3

=5+2

=7

hope this helps <3

Step-by-step explanation:

E3, E6, E11, E7: no solution

E1, E12 : 1 solution

E2, E8, E10 : infinite solutions

Answer:

See attached

Step-by-step explanation:

The answer is attached

Infinitely many solutions

One solution

No solution

Let the length of the base of this isosceles triangle be = x

One of its equal sides = 3x

Another one of its equal sides = 3x

Their perimeter = x + 3x + 3x = 21 cm

To find the value of each side let us first solve this equation .

= x + 3x + 3x = 21 cm

= 7x = 21 cm

= x = 21 ÷ 7 ( transposing ×7 from LHS to RHS changes ×7 to ÷7 )

= x = 3

Then length of base = 3 cm

Length of one equal side = 3 × 3 = 9 cm

Length of another equal side = 3 × 3 = 9 cm

Therefore , the the three sides of this triangle = 3 cm , 9 cm and 9cm .

the slope of the line is 8 and equation line is y = 8x.

What is the slope of line?

Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.

We know that formula two find the slope of the line joining two points which is

slope m = 24-16 / 3-2

m = 8/1 = 8

y = 8x

Hence the slope of the line is 8 and equation line is y = 8x.

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If the government was to impose a minimum wage of $12 then the number of unemployed workers would be 4,000.

If the government was to impose a minimum wage of $12 then a situation would arise where the demand for workers is 8,000 yet the supply for workers is 12,000.

This would lead to an unemployment rate of:

= 12,000 - 8,000

= 4,000 people

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Answer:

c

Step-by-step explanation:

yeshhhhhhhhhjjhhuhj

Answer:

I think It's A what do you think??

Step-by-step explanation:

238.20 cubic inches of cotton is needed if the remaining space is to be filled with cotton for padding. The volume of cotton needed is obtained by subtracting the volume of four glass balls from the volume of the box.

The radius of a glass ball = 2.5 inches.

The volume of a ball = \(\frac{4}{3}\pi r^3\)

                                   = \(\frac{4}{3}\times 3.14\times (2.5)^3\)

                                   = 65.42 cubic inches.

The volume of 4 balls = 4 × 65.42 cubic inches

                                    = 261.67 cubic inches.

Length of the box = 4 × 2.5 × 2 = 20 inches,

Width of the box = 2.5 × 2 = 5 inches,

Height of the box = 2.5 × 2 = 5 inches.

So,

the volume of the box = Length × Width × Height

                                     = 20 × 5 × 5

                                     = 500 cubic inches.

Now,

The volume of cotton needed = the volume of the box - the volume of 4 balls.

= 500 - 261.67

= 238.20 cubic inches.

Thus, if the remaining space is to be filled with cotton for padding, 238.20 cubic inches of cotton is needed.

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Answer:

nonrigid and segement lengths ar enot

Step-by-step explanation:

The probability that a random sample of 12 second grade students results in a mean reading rate of more than 95 words per minute is 0.4582.

Given that the population mean, \(\mu\) = 90 wpm

The standard deviation of the population ,\(\sigma\) = 10

Sample size, n = 12

Sample mean, \(\bar x\) = 95

The reading rate of students follows the normal distribution.

Let z = \(\frac{\bar x - \mu}{\frac{\sigma}{\sqrt n} }\)

        = \(\frac{95 - 90}{\frac{10}{\sqrt 12} }\)

        = 1.732

Probability that the mean reading exceeds 95 wpm = P(\(\bar x\) >95)

                                                                                       = P(z>1.732)

                                                                                       = 1- P(z<1.732)

                                                                                       = 0.4582

[The value 0.4582 found from the area under the normal curve using tables].

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A scatter diagram is a graphical technique to show the relationship between two variables.

A scatter diagram, also known as a scatter plot or scattergraph, is a visual representation of the relationship between two variables. It consists of a collection of points on a graph, with each point representing the values of both variables for a specific observation or data point. The horizontal axis represents one variable, while the vertical axis represents the other variable.

The scatter diagram helps us understand the relationship between the two variables. If there is a clear pattern or trend in the points, it indicates a strong relationship between the variables. For example, if the points form a straight line sloping upwards from left to right, it suggests a positive correlation, meaning that as one variable increases, the other variable also tends to increase. Conversely, if the points form a downward sloping line, it indicates a negative correlation.

On the other hand, if the points are scattered randomly across the graph, with no discernible pattern, it suggests little or no relationship between the variables. This random scattering of points illustrates the distribution of the variable values.

In summary, a scatter diagram is a powerful tool to visualize and analyze the relationship between two variables. By examining the pattern or lack thereof in the scatter plot, we can gain insights into the nature of their association.

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