Find the measurements of the exterior angles of the polygon

Explain (not optional)

Plotting method is the graphical representation of mathematical expression.

A plot is a graphical representation of a list of data. Besides, a plot is the graphical analysis of mathematical expressions and equations because plot can show the relationship between two or more variables. There are many plotting methods such as hand plotting method, computer aided plotting method and so on.

At first, we need to choose the coordinate system by which we plot the point.

suppose we choose a XY coordinate plane. At first identify the horizontal or X axis and vertical or Y axis.

besides, we need to determine the required value that will be plotted on the plan.

if we have a list of X and Y value then find the value of X on the x axis and next find the value of Y on the Y axis.

we will notice some points for every pair of x and y value. Finally, we will join the points to achieve a required shaped graph.

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The coefficients in the expression [tex]12x^{3} (2x^{3}) + y^{3}[/tex] are , coefficient of of x⁹ is 24 and coefficient of of y³  is 1   .

The Coefficients are defined as a multiplicative factor in some term of a polynomial , series or an expression , the coefficient is usually a number .

the expression is given as [tex]12x^{3} (2x^{3}) + y^{3}[/tex] ;

to find the coefficients we first simplify the expression ,

we get ;

= [tex]12x^{3} \times2x^{3} + y^{3}[/tex]

= [tex]24x^{9} +y^{3}[/tex] ;

so , the numerical term with x⁹  is 24 and the numerical term with y³ is 1 .

Therefore , the coefficient of x⁹ is 24 and the coefficient of  y³ is 1 .

The given question is incomplete , the complete question is

What is the coefficient of x⁹ and y³ in the expression [tex]12x^{3} (2x^{3}) + y^{3}[/tex] ?

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Answer:

3.025 x 10³ sq ft

Step-by-step explanation:

Answer:

Length and Width

Rate of speed of each cyclist is:

Alisha 10mi/hr

Jose 15mi/hr

Raul 10mi/hr

Ruthie 16mi/hr

Data given of each cyclist;

Formula used: [tex]r=\frac{d}{t}[/tex]

here,

r=rate of speed

d=distance

t=time

Alisha: Distance=40mi; Time=4hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{40}{4} =10mi/hr[/tex]

Jose: Distance=30mi; Time=2hr

applying the formula

[tex]r=\frac{d}{t}\\ r=\frac{30}{2} =15mi/hr[/tex]

Raul: Distance=40mi; Time=4hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{40}{4}=10mi/hr[/tex]

Ruthie: Distance=80mi; Time=5hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{80}{5} =16mi/hr[/tex]

Alisha= 10mi/hr

Jose= 15mi/hr

Raul= 10mi/hr

Ruthie= 16mi/hr

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Answer:

Its an isosceles triangle..

Step-by-step explanation:

Answer:

230.86 / 23.8 =9.7 inches-half of the base.

9.7 x 2 =19.4 inches-the length of the base.

Step-by-step explanation:

If we chosen the one year subscription we have to pay  7.49 per each month.

What is Linear Equation ?

Linear Equation can be defined as the equation in which the highest degree of the variable is one.

Given,

The cost of an online newspaper is 7.99

And if we bought the one year subscription the cost is 89.88

Let the the cost of the each month if we bought the one year subscription be x .

for one year the cost is 89.88

for one month could be

that is, x = 89.88/12

x = 7.49

Hence , If we chosen the one year subscription we have to pay  7.49 per each month.

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Answer:

7

Step-by-step explanation:

So first you substitute A in

15-|-4(2)|

Then you multiply first because of GEMDAS or PEMDAS

15-|-8|

And because absolute value means how far away it is from 0, -8 is 8 away from 0 , thus |-8| is 8. So we simplify the equation

15-8

=7

Answer:

6+x > 20

Step-by-step explanation:

solving the inequality-

subtract 6 from sides.

it is x> 14

Julie sold more than 14 items after the first week of the fundrai.

have a great Day!

Answer:

your answer is going to be B: Obtuse

The 4th interval is called perfect. It is also called consonant.

In mathematics, interval means the gap between two particular numbers in where some numbers can be located.  The numbers that are kept between two particular numbers are all real and their ranges must be maintained between two particular number.

The 4th interval is called perfect. The fourth interval is always consonant because it is maintained by earlier third and next fifth.

Other perfect intervals along with fourth are unison, fifth and octave. The intervals listed above are all consonant. The fourth interval is called perfect because it behaves just like the unison interval.

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(x+5) is not a factor of f(x) because x = -5 does not satisfy the given equation f(x) = x³ - 4x² + 3x + 7.

Step 1. First we solve the equation x +5 = 0, we get

x = -5

Step 2. By putting the value of x = -5 in f(x) check whether we get a zero or a number other than zero.

If we get zero then x+5 is a factor of f(x) and if we get a number other than zero then x+5 is not a factor of f(x)

f(-5) =  (-5)³ − 4(-5)² + 3(-5) + 7 = - 233

Since we got -233 and not 0. Therefore, (x+5) is not a factor of f(x).

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The lower left-hand corner of the graph is the third quadrant.

It contains the negative values of both x and y.

Quadrant

The axes of a two-dimensional Cartesian system divide the plane into four infinite regions called quadrants, each bounded by two half-axes.

Cartesian system

A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.

coordinates

Coordinates are numbers which determine the position of a point or a shape in a particular space.

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Answer:

sum up the numbers and divide by the numbers of values.

80+84+79+44+87+73+89+90+82+89+93+97+77+71 / 14

1135/14

= 81•1 is the mean

Answer:

B

Step-by-step explanation:

Answer:

Median

Step-by-step explanation:

Mean: Add up all the numbers, then divide by how many numbers there are.

Median: Arrange your numbers in numerical order. Count how many numbers you have. Go to the number in that position and average it with the number in the next higher position to get the median.

Mode: Put the numbers in order from least to greatest and count how many times each number occurs.

Range: The difference between the smallest and highest numbers

Answer:

Mean:

[tex]mean = \frac{(45 + 39 + 49 + 37 + 3 + 51)}{6} \\ = 37.3[/tex]

Median:

[tex]3 \: \: 37 \: \: 39 \: \: 45 \: \: 49 \: \: 51 \\ median = ( \frac{n}{2} + 1) {}^{th} \\ = ( \frac{6}{2} + 1) {}^{th} \\ = 4 {}^{th} \: value \\ median = 45[/tex]

Mode:

[tex]mode = none \\ all \: digits \: are \: repeated \: once[/tex]

Range:

[tex]range = 51 - 3 \\ = 48[/tex]

Answer:

Samples are indicative of the population .

Most values are close to the mean value.

Step-by-step explanation:

The normal distribution is characterized by two parameters mean and standard deviation.

The graph of the normal distribution is symmetrical bell shaped curve called the normal curve. The location and shape of the normal curve are determined by mean and standard deviation.

We see from the figure as the mean and standard deviation increase the spread and curve change.

FALSE:   Standard deviation will be high. This is false because more than 50% of the values lie 1 standard deviation of the mean .When the data is clustered around the mean the standard deviation is low.

FALSE: The smaller the sample, the more the normal distribution takes on a bell curve

The sample size greatly affects the normal curve. The greater the sample size the more likely the distribution is bell shape or normal curve.

TRUE: Samples are indicative of the population .

The normal distribution population with mean and standard deviation has a normal sample with and standard deviation.

Most values are close to the mean value

TRUE: About 68% of values are within 1 standard deviation of the mean and around 95% of values are within 2 standard deviations of the mean in the normal distribution.

Which means more than 50% of the values lie 1 standard deviation of the mean.

Answer:

1. So $7 per hour

For 24 hour =7×24= $168

28-24=4

4×7=28

168+28=$196

or

For 28 hour

7×28

= $196

2. 7×112

=$784

3. To find the difference subtract

784-196=$588

Answer:

196; 784; 588

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

1 + 2 + 3 + 4 + 5 + 6 + 7

Answer:

3/2

Step-by-step explanation:

3/2 is in the simplest form; it can't be decreased any more.

The equation of line in slope intercept form is,

⇒ y = x - 2

When the graph is shift down 9 units.

Then, Equation of line become,

⇒ y = x - 11

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (2, 0) and (0, -2).

Now,

Since, The equation of line passes through the points (2, 0) and (0, -2).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 2 - 0) / (0 - 2)

m = - 2 / -2

m = 1

Thus, The equation of line with slope 1 is,

⇒ y - 0 = 1 (x - 2)

⇒ y = x - 2

And, When the graph is shift down 9 units.

Then, Equation of line become,

⇒ y = x - 2 - 9

⇒ y = x - 11

Therefore, The equation of line in slope intercept form is,

⇒ y = x - 2

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Answer:

x = 17

Step-by-step explanation:

the midsegment of a triangle is half the length of the third side, that is

DE = [tex]\frac{1}{2}[/tex] × BC = [tex]\frac{1}{2}[/tex] × 34 = 17

so x = 17