What’s the slope and y intercept??

Answer:     4.16

Step-by-step explanation:

The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is r³ + 6.

The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is given below:

(r⁴ - 3r³ + 6r - 18) / (r - 3)

The divisor is +3

The coefficients are:

   1    -3    6    -18

Using synthetic division

the first coefficient is 1

the second coefficient = 1 * 3 + -3

the second coefficient = 0

the third coefficient = 0 * 3 + 6

the third coefficient = 6

the fourth coefficient = 6 * 3 + (-18)

the fourth coefficient = 0

Therefore, the solution =  1(r⁴/r) + 0(r³/r) + 6(r/r) + 0

the solution = r³ + 6

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Answer:

d

Step-by-step explanation:

The given statement "The notation "f(x)" (f of x) is another way of representing y-values in a function" is true because it represents the output values.

In Mathematics, a function simply refers to a mathematical expression which can be used for defining and showing the relationship that exist between two or more variables in a data set.

This ultimately implies that, a function typically shows the relationship between input values (x-values or domain) and output values (y-values or range) of a data set, as well as showing how the elements in a table are uniquely paired (mapped).

Generally speaking, the output values (y-values or range) of a data set (function) are plotted on the y-coordinate of a graph and they are typically denoted by either the notation f(x) or y.

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Complete Question:

The notation "f(x)" (f of x) is another way of representing y-values in a function. True or False?

On a negatively skewed curve The mean is lower than the median which is lower than the mode. The correct answer is E.

In statistics, a distribution is said to be negatively skewed if more values are concentrated on the right side (tail) of the distribution graph and the left tail is longer.

Positive skew is characterized by a longer or fatter tail on the right side of the distribution, and negative skew is characterized by a longer or fatter tail on the left. These two skews represent the direction or weight of the distribution.

The central tendency of a distribution is defined as its mean, median, and mode. The fact that the mean, median, and mode of the typically skewed data are all equal demonstrates the equality of wealth and income distribution as well as the significance of governmental policies and economic progress.

The distributions have a wide gap because the negative side is so heavily weighted. For instance, the data shows that the distribution of income is unequal and negatively skewed, and the central tendency is as follows:

Mode > Median > Mean.

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On solving the provided question we can say that when each teacher is matched with 30 students, t is not a function.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

When each teacher is matched with 30 students, t is not a function.

This is true since it demonstrates a one-to-many link.

Therefore, this is the case because it shows a many-to-one relationship and multiple weights can have the same cost.

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XY is the diameter because the diameter is the entire side to side while radius is from the middle to the side.

The diameter is the entire side to side while radius is from the middle to the side.

The diameter of a circle is represented by the letter d.

here O is the center of the circle

radius of the circle is OX and YO

diameter of the circle is 2×radius

then here diameter of the circle is XY

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The length of side m is, 5.08 inches.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In ΔMNO,

⇒ o = 8 inches, m ∠M = 28° and m ∠O = 48°.

Now, Let the length of side m = x

So, By sine rule, we get;

⇒ sin M / m = Sin O / o

Substitute all the values, we get;

⇒ sin28°/  x = sin 48° / 8

⇒ 0.47 / x  = 0.74 / 8

⇒ x = 0.47 × 8 / 0.74

⇒ x = 5.08 inches

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The measure of four angles of quadrilateral is 360°.

What is quadrilateral?

A closed quadrilateral has four sides, four vertices, and four angles.

It is a type of polygon.

In order to create it, four non-collinear points are joined.

Quadrilaterals always have a total interior angle of 360 degrees.

A polygon with four sides, four angles, and four vertices is called a quadrilateral.

The Latin words quadri, which means four, and latus, which means side, were combined to create the English word quadrilateral.

A quadrilateral is shown in the above image as an example.

A quadrilateral is a polygon with four vertices and four sides that each contain four angles, the sum of which is 360 degrees.

Two triangles are created when we draw a diagonal to a quadrilateral. These two triangles have a 180° angle sum.

As a result, the quadrilateral's total angle sum is 360°.

Hence, the measure of four angles of quadrilateral is 360°.

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Mina will receive $13.33 after converting her 18 Pounds GBP to Dollars USD

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used

To change 18GBP to USD at the current exchange rate of 1.35GBP to 1 USD

Divide the Amount being converted by the exchange rate

that is, 18GBP/1.35

=13.33USD

Hence, 13.33USD is the amount that Mina will receive after converting her 18 GBP

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Answer:

sometimes there are more, sometimes there are less

Step-by-step explanation:

for example 1+1 only requires 1 step

hope this helps

Answer:

STEP 1: The Right Problem to Solve

STEP 2: Analyse the Problem

STEP 3: Define the Problem

STEP 4: Develop Opportunities (Possible Solutions)

STEP 5: Select the Best Solution

STEP 6: Implement the Solution

STEP 7: Evaluate and Learn

Step-by-step explanation:

Hope It Helps!

Depending on the patient and the strength of the eye drop, eye dilation caused by eye drops used for eye examinations typically lasts between 4 and 24 hours.

What is eyes dilation?

There are causes of dilated pupils besides underlying disease. Examples include a pitch-black room, sleep, fear, or adverse drug reactions.

When you get your eyes dilated, your doctor uses special drops to open your pupils wide.

This let them get a look at your whole eye, including all the nerves and blood vessels at the back, to check for signs of diseases

When dilated, the pupil is unable to get smaller, and thus block out light in bright areas. This causes glare in your vision so you can't see things clearly.

The drops also make it difficult to focus on things up close, but usually don't affect distance vision.

So, Your eyesight will be impaired, so some experts say you should play it safe and not get behind the wheel will leads to affecting your driving

Hence, depending on the patient and the strength of the eye drop, eye dilation caused by eye drops used for eye examinations typically lasts between 4 and 24 hours.

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Dilation is neither horizontal nor vertical. Dilation is a transformation that changes the size of a shape but does not change its orientation.

It can be represented by a formula in coordinate geometry: (x, y) → (kx, ky), where k is a scale factor (greater than 0). The scale factor determines the amount of scaling that is applied to the shape. For example, if k = 2, then the coordinates of the original point (x, y) would be multiplied by 2, resulting in a new point (2x, 2y). This would result in the shape being twice as big as the original. Similarly, if k = 0.5, then the coordinates of the original point (x, y) would be divided by 2, resulting in a new point (0.5x, 0.5y). This would result in the shape being half as big as the original. Therefore, dilation can be used to scale shapes both up and down in size, but it does not alter their orientation.

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1408 yards in 12 minutes doe a horse walk in twelve minute.

The term measurement in math is defined as the process of associating numbers with physical quantities and phenomena.

Here we have given that a horse can walk 4224 feet in 12 minutes.

As we all know that One yard is equal to three feet.

Therefore, if you want to get the yard equivalent, then we have to divide the feet term by 3.

Here we know that the horse walking distance in 12 minutes is 4224 feet.

Then the yard equivalent value is calculated as,

=> 4224/3

=> 1408

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yes. 904 is divisible  by 8  and quotient is 113.

Divisibility Rule of 8

If the last three digits of a number are divisible by 8, then the number is completely divisible by 8. Example: Take number 24344. Consider the last two digits i.e. 344. As 344 is divisible by 8, the original number 24344 is also divisible by 8.

What is an arithmetic progression?

"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."

Let, there are 'n' terms less than 904 divisible by 3.

Now, the first term divisible by 3 is(a) = 3.

The second term divisible by 3 is = 6.

Therefore, the common difference between terms divisible by 3 is(d)

The last term that is less than 904 and divisible by 3 is() 903.

Now, if we compare it with arithmetic progression, then:

The required number is 301.

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The solution of (x^2 +  6x - 16) is ( x+8 )( x−2 ).

Lets solve the equation (x^2 +  6x - 16) in order to find its solution:

The equation is ( x^2 + 6x − 16 )

Now factorizing it

= ( x^2 + 8x − 2x − 16)

Taking x common from the first two terms and -2 common from the last two terms:

= [x (x+8) −2 (x+8) ]

Now,

= [ (x+8) (x−2) ]

Therefore, it is shown that the solution of the equation "(x^2 +  6x - 16)" is (x+8)(x−2) which is obtained through factorization.

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Brianna will use 0.17 liters of the liquid

We know that an equation in which two ratios are set equal to each other is called as proportion.

Here, Brianna has a container which has 0.85 L of liquid in it.

Brianna needs to use 0.2 of this liquid.

Assume that 0.85 L represents the 100% of the liquid.

Then 0.2 represents 0.2 × 100 = 20% of the liquid .

Let Brianna will use x liters of liquid.

Consider a proportion.

[tex]\frac{0.85}{100} =\frac{x}{20}[/tex]

0.0085 = x/20

x = 0.0085 × 20

x = 0.17 liters

so, she will use 0.17 liters of liquid.

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Answer:

Equation:

[tex]7x + 10 = 150[/tex]

Value of x:

[tex]x = 20[/tex]

Step-by-step explanation:

In the figure, we are given 2 angles, 150° and (7x+10)°.

These 2 angles are vertical angles because they are directly opposite of each other and formed by intersecting lines.

Vertical angles are congruent, which means the same.

Thus, to make an equation to solve for x, we need to set the angles equal to each other.

Equation: [tex]7x + 10 = 150[/tex]

Solving for x:

[tex]7x + 10 = 150[/tex]

⇒ [tex]7x = 140[/tex] . . . . . . . . . subtract 10 from both sides of the equation

⇒ ∴ [tex]x = 20[/tex] . . . . . . . . . divide both sides by 7 to isolate x

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Answer:

Step-by-step explanation:

Using VAT:

Angles opposite each other are consider equal.

Therefore : 7x+10 = 150

Solve for x: 7x= 150-10

                    x= 140/7

                    x= 20

To check : 7x+10 = 150

                 7(20)+10=150

                 140+10=150

                 150=150 (correct)

Answer: To make 20 oz of hair dye, the hairstylist needs to use 1 and 1/8 oz of red tone, 3/4 oz of gray tone and 5/8 oz of brown tone.

We can use proportionality to figure out how much of each dye color is needed.

Let's call the amount of red dye needed x, the amount of gray dye needed y and the amount of brown dye needed z.

According to the proportionality, we can write the following equation:

(1 + 1/8)x + (3/4)y + (5/8)z = 20

To find the amount of each dye color needed, we can solve this equation for x, y and z.

First, we can clear the fractions by multiplying all terms by 8:

(8 + 1)x + (6)y + (5)z = 160

Now we can solve for x:

9x + 6y + 5z = 160

x = (160 - 6y - 5z)/9

Similarly, we can solve for y and z:

y = (160 - 9x - 5z)/6

z = (160 - 9x - 6y)/5

Now we can substitute the desired amount of 20 oz into the equation and solve for x, y and z

Step-by-step explanation:

All exponential functions pass through (0, 1)

We know that the exponential function f with base b is defined as:

f(x) = b^x

where b > 0 and b is not equal to 1

and x is any real number.

For x = 0,

f(0) = b^0

f(0) = 1

This means, the graph of function f(x) passes through (0, 1)

For example consider an exponential function f(x) = 2^x

For x = 0,

f(0) = 2^0

f(0) = 1

the graph of f(x) = 2^x passes through (0, 1)

so, the characteristics of the graphs of all exponential functions:

The graphs contain the point (0, 1).

The x-axis is an asymptote.

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What we can conclude by the given triangle about similarity is;

ΔPQR ∼ ΔPST

Similar triangles are defined as triangles that have the same shape, but their sizes may vary. Thus, if two triangles are similar, then it means that their corresponding angles are congruent and corresponding sides are in equal proportion.

Now, there are three types of similarity theorems for triangles namely;

Angle Angle(AA) Similarity

Side Angle Side(SAS) Similarity

Side Side Side(SSS) Similarity

We see that both triangles PQR and PST have equal angle R and angle T which are both 36 degrees. Thus, they are both similar by the AA Similarity theorem

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Step-by-step explanation:

division so like it would go in 3 times I think

Answer:

Here is your answer

((5 * 7) ^ 7) ^ 5 =

(35 ^ 7) ^ 5 =

64339296875 ^ 5 = 1102507499354148695951786433413508348166942596435546875

Step-by-step explanation:

The reduced form of 14/10 is 7/5. The answer is obtained using the method of simplifying fractions.

What is meant by simplifying fractions?

Making a fraction as simple as possible is referred to as simplifying (or reducing) a fraction.

To do this, we divide the denominator and numerator by the biggest number that can be divided exactly into both numbers. In other words, we choose the biggest common number between the top and bottom and divide it by that.

In a fraction, the numerator and denominator are referred to as the "terms." Thus, when we simplify a fraction, we cast it in its most basic mathematical form.

Now, to reduce 14/10, we will find the highest common factor of 14 and 10.

The highest common factor is 2 i.e. both numerator and denominator are divisible by 2.

So, on dividing both the terms by 2, we get

(14÷2)/(10÷2)= 7/5

Hence, the reduced form of 14/10 is 7/5.

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Answer:

It is called the perimeter

Step-by-step explanation:

The area of circle with circumference 5πm is 6.25π square meters.

What is circumference and area of a circle?

The measurement of the circle's perimeter, also known as the circle's boundary, is called its circumference.

Circumference of circle(C)= 2πr

The area of a circle is the space encircled or encompassed by its circumference. It has a square unit of measurement.

Area of circle(A)= πr^2

We are given the circumference of circle(C)= 5π

This implies that 2πr= 5π because C= 2πr

On solving the equation,

2πr= 5π

r=5/2

=2.5

Now, area of circle(A)= πr^2

So, A= π (2.5)^2

A= 6.25π square meters

Hence, The area of circle with circumference 5πm is 6.25π square meters.

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Answer:U: 1.98 V: 1.4 And also the other side, square root symbol: 1.4

Step-by-step explanation:

I hope this helps man, i havnt done this stuff in a while...

Answer:

Since, 6x -4 and 14 both are values of f(X)then,

6x-4=14

or,6x=14+4

or,X=18/6

:.X=3

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Answer: X=3 :)

Step-by-step explanation:

f(x)= 6x-4 and f(x)=14

6x-4=14

6x=4+14

6x=18

Divide both by 6

x=3