. Compute the exact mean (average) of the fractions below, in decimal form.

Answer:

15/-6   or   -2.5

Step-by-step explanation:

m=y2-y1/x2-x1

5-(-10)=15

-10-(-4)=(-6)

15/-6=(-2.5)

hope this helps :3

if it did pls mark brainliest

Answer: -5/2

Step-by-step explanation: Using the slope equation, slope = (y₂ - y₁) / (x₂ - x₁). Your slope would be -5/2 hope this helps! :)

Answer:

x= the second one I hope I helped

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

Learn more about radicals here:

https://brainly.com/question/12739054

#SPJ1

Answer:

2 2/5 and 2 2/100

Step-by-step explanation:

The answers range in many ways! Whatever floats your boat to pick!

Hope this helped! :)

Answer:

1,039,000

Step-by-step explanation:

The total sales of the company are $5,600,000.

If one-seventh of the company's sales are made in New England, we can set up the following equation:

New England Sales = (1/7) * Total Sales

Given that New England sales amount to $800,000, we can plug this value into the equation:

$800,000 = (1/7) * Total Sales

To find the total sales (in dollars) of the company, we can rearrange the equation to solve for Total Sales:

Total Sales = $800,000 * 7

Total Sales = $5,600,000

Therefore, the total sales of the company are $5,600,000.

To know more about company:

https://brainly.com/question/31783642

#SPJ2

The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .

Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.

This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .

The rough sketch of the curve having the bell shape is shown attached to the question.

Find out more on bell curves at https://brainly.com/question/3441134

#SPJ1

Answer:

Hey there!

The common ratio is 5, because you multiply by 5 to get from one term to the next.

Hope this helps :)

Answer:

5

Step-by-step explanation:

To find the common ratio take the second term and divide by the first term

55/11 = 5

The common ratio would be 5

Answer:

5/2,     5/2,     -3= (5/2)(2)+b,     -8,     y=(5/2)x-8

Step-by-step explanation:

Answer:

The slope of the graphed line is  

✔ 5/2

.

The slope of the parallel line is  

✔ 5/2

.

An equation that can be used to find the y-intercept of the parallel line is  

✔ –3 = (5/2)(2) + b

.

The y-intercept of the parallel line is  

✔ –8

.

The equation of the parallel line is  

✔ y = (5/2)x – 8

.

Step-by-step explanation:

Answer:

(x + 2)² + (y - 2)² = 3²

Step-by-step explanation:

Equation of a circle is (x - a)² + (y - b)² = r²,

where a is the x-coordinate of the centre of the circle, b is the y-coordinate of the centre of the circle, r is the circle's radius.

So, we have (x - -2)² + (y - 2)² = 3²

subtract a minus means we add.

(x + 2)² + (y - 2)² = 3²

The volume of the prism is 1323 feet³ (cubic feet).

Length= 21 feet.

Width= 9 feet.

Height= 7 feet.

The formula to calculate the volume of rectangular prisms is the following:

\(\sf V_{RP} =l*w*h\); where "l" is the length; "w" is the width, and "h" is the height of the prism.

Check the attached image to see where these values are measured from.

Substitute the variables in the formula by the values on step 1.

\(\sf V_{RP} =l*w*h=(21\ feet)*(9\ feet)*(7\ feet)=\boxed{\sf1323\ feet}.\)

The volume of the prism is 1323 feet³ (cubic feet).

-------------------------------------------------------------------------------------------------------

Learn more about calculations of volumes and operations around volume here:

https://brainly.com/question/30569232

https://brainly.com/question/29462977

https://brainly.com/question/28308963

https://brainly.com/question/31881728

Answer:

The volume of the rectangular prism is 1323 cubic feet.

Step-by-step explanation:

Step 1: Write down the formula for the volume of a rectangular prism:

\(\qquad\Large\boxed{\rm{\:\:\:V = l \times w \times h\:\:\:}}\)

Step 2: Substitute the given values for the length, width, and height:

\(\qquad\Large\rm{V = 21\: ft \times 9\: ft \times 7\: ft}\)

Step 3: Multiply the numbers together:

\(\qquad\Large\rm\implies{V = 1323\: ft^3}\)

Step 4: Write the final answer with the appropriate units:

The volume of the rectangular prism is 1323 cubic feet.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

The side length that prove a right angle triangle is √2, √3 and √5.

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, a right angle triangle can be proved by using the Pythagoras's theorem as follows:

Hence,

c² = a² + b²

where

Therefore,

(√2)² + (√3)² = (√5)²

Hence, the right angle triangle is the triangle with sides √2, √3 and √5.

learn more on right triangle here: brainly.com/question/16133695

#SPJ1

Answer: \((f \cdot g)(x) = x^4-11x^2+30.\)

Step-by-step explanation:

We want to find the value of \(f(g(x)).\) To do this, we plug in \(g(x)\) into the expression for \(f(x).\) This gives us:

\(f(g(x)) = (x^2-9)^2+7(x^2-9)+12 = x^4-18x^2+81+7x^2-63+12 = \boxed{x^4-11x^2+30}.\)

Answer:

a. Linear pair (supplementary)

b. Add up to 180°

c. \( y = 20 \)

Step-by-step explanation:

78° and (5y + 2)° are a linear pair. They are supplementary, and add up to 180°.

Therefore, the following equation expresses their relationship:

\( 78 + (5y + 2) = 180 \)

Solve for y

\( 78 + 5y + 2 = 180 \)

\( 78 + 2 + 5y = 180 \)

\( 80 + 5y = 180 \)

Subtract 80 from both sides

\( 80 + 5y - 80 = 180 - 80 \)

\( 5y = 100 \)

Divide both sides by 5

\( \frac{5y}{5} = \frac{100}{5} \)

\( y = 20 \)

Using the percentage of students that brought lunch, the total number of students is 2500

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%". This can be said to be the fraction of a quantity over the entire quantity and multiplied by 100.

In the question, 2% of the total students in the school which amount to 50 students brought their lunch. The number of students in the school is unknown.

We can proceed by representing this as a fraction

2% = 50 / x

x = total number of students

0.02 = 50 / x

x = 50 / 0.02

x = 2500

Learn more on percentage here;

https://brainly.com/question/24877689

#SPJ1

the total area of the two triangles as shwon in the image is 70 in²

Area can be defined as the total portion occuppied by a plane fiqure.

To calculate the total area of the two triangles, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

Similarly,

Where:

Substitute these values into equation 2

Therefore, the total area of the two triangles is 40+30 = 70 in².

Learn more about area here: https://brainly.com/question/25092270

#SPJ1

The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

Learn more about functions on

https://brainly.com/question/11624077

#SPJ1

When in a right angle triangle, the right angle has two angles inside it i.e. x+4° and  3x+2°, x is equal to 21.

what exactly is a triangle?

A triangle is a three-sided polygon, which is a two-dimensional shape with straight sides. It is one of the simplest and most common geometric shapes in mathematics. A triangle is defined by its three sides and three angles.

The total sum of the angles of a triangle is always equal to 180 °. The length of the sides and the size of the angles can vary, giving rise to different types of triangles, such as equilateral, isosceles, scalene, acute, obtuse, and right triangles.

Now,

The sum of two adjacent angles inside a 90° angle is 90°. So, we can set up an equation:

x + 4 + 3x + 2 = 90

Simplifying the left side by combining like terms:

4x + 6 = 90

Subtracting 6 from both sides:

4x = 84

Dividing by 4:

x = 21

Therefore, The value of  x is 21.

To know more about triangles visit the link

brainly.com/question/2773823

#SPJ1

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

x is 4.30 and 0.697

Step-by-step explanation:

Quadratic formular:

\(x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\ \)

a » 1

b » -5

c » 3

\(x = \frac{ - ( - 5)± \sqrt{ {( - 5)}^{2} - (4 \times 1 \times 3)} }{(2 \times 1)} \\ \\ x = \frac{5± \sqrt{13} }{2} \)

Therefore, values of x :

\(x = \frac{5 + \sqrt{13} }{2} \: \: and \: \: \frac{5 - \sqrt{13} }{2} \\ \\ x = 4.30 \: \: and \: \: 0.697\)

A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The coefficient of the highest degree term (x^5) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and \(x^{2}\) + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

Learn more about polynomial here:

https://brainly.com/question/28936357

#SPJ1

A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The coefficient of the highest degree term (\(x^{5}\)) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and  + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

Learn more about polynomial here:

https://brainly.com/question/28936357

#SPJ1

Answer:

The rate of return will be: 12%

Step-by-step explanation:

Given

As the building was sold for 550000

Return can be calculated by dividing the market value by the net income using the formula

Return = Net income / Market value

           = 66000 / 550,000

           = 0.12  which is 12%

Therefore, the rate of return will be: 12%

Answer:

  (c)  The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).

Step-by-step explanation:

You want to know the relationship between the graphs of function f(x) and its inverse f⁻¹(x).

The inverse of a function maps every y-value of the original function to its corresponding x-value. That is if you have ...

  f(a) = b

then the graph of f(x) contains the ordered pair (a, b).

The inverse function will have the ordered pair (b, a). That is,

  f⁻¹(b) = a

If an ordered pair (x-intercept) of the inverse function is ...

  (P, 0)

Then there will be an ordered pair (0, P) on the graph of the original function. That point is the y-intercept, and its y-coordinate is the same as the x-coordinate of the x-intercept of the inverse function.

The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).

__

Additional comment

The graphs of the two functions are mirror images of each other across the line y=x.

<95141404393>

Answer:

The third side would be greater than 11 or less than 21

Answer:

60%

Step-by-step explanation:

25-10=15

15÷25=0.6

0.6×100=60

Answer:

C

Step-by-step explanation:

You can divide the hexagon into a rectangle and two triangles. Using the area formulas for all shapes, the area of each can be calculated and added together.