Jordan plotted the graph below to show the relationship between the temperature of his city and the number of cups of hot chocolate he sold daily.

Part A: In your own words, describe the relationship between the temperature the city and the number cups hot chocolate sold.

Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept the line best fit. Show your work, including the points that you use to calculate the slope and y-intercept

As shown below, the equations are written in slope - intercept form.

formula for the equation            slope - intercept

y + x = 3                                         y = -x + 3

2x + y = x + 4                                 y = -x + 4

x + y = -3                                        y = -x - 3

Those functions with exponents of 1 are known as linear functions.

The slope intercept form of the relation is presented below.

y = mx + b

the meaning of a variable

output variable = y

slope = m

input variable = x

b = intercept of y

The formula for the equation is as follows: y = mx + b.

y + x = 3

placing y at the left side of the equation

y = -x + 3

2x + y = x + 4

placing y at the left side of the equation

y = -2x + x + 4

y = -x + 4

x + y = -3

placing y at the left side of the equation

y = -x - 3

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Yes , △DBE ​ is similar to ​ △ABC ​ by the ​ SAS Similarity Theorem ​.

What is SAS Similarity Theorem.

The SAS similarity theorem stands for side angle side. When you've got two triangles and the ratio of two of their sides are the same, plus one of their angles are equal, you can prove that the two triangles are similar.

Have given ,

we have to tell that is the triangles are similar or if similar then by which postulate and  point e on side b c. a d is 15 centimeters, d b is 10 centimeters, b e is 16 centimeters, and e c is 24 centimeters.

In ΔDBE and ΔABC,

[tex]\frac{DB}{AB} = \frac{EB}{CB}[/tex]

⇒ [tex]\frac{10}{10+15} = \frac{16}{16+40}[/tex]

⇒[tex]\frac{2}{5} =\frac{2}{5}[/tex]

And also ∠B=∠B (common) i.e the one angle congruent.

Hence , △DBE ​ is similar to ​ △ABC ​ by the ​ SAS Similarity Theorem ​.

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As per the given displacement value, the value of GG1 is 0.055

The term displacement is defined as the length of shortest distance from initial position to final position of the object.

Here we have given that  a hip of 15,000 Ton displacement when a weight of 55 ton mass i removed from the starboard side through a distance of 15 meter.

Here we know that the following values are given in it.

They are listed as follows:

Total displacement = 15,000 ton

Mass = 55 ton

Distance = 15 meter.

Then the value of GG1 is calculated as,

=> (15 x 55)/15,000

=> 0.055

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17 represents number of offspring curled wings and red eyes.

What is number ?

The arithmetic value of a number is one that is used to denote amount. As a result, a number is a mathematical concept used for counting, measuring, and labeling. As a result, mathematics is based on numbers.

An arithmetic value known as a number is used to represent a quantity and do calculations. Numbers are represented by written symbols, such as "3," which are referred to as numerals. A number system is a method of writing that uses logically ordered digits or symbols to represent numbers.

The intriguing characteristics between numbers are known as number ideas. We can calculate and solve problems using these concepts.

1. 17 represents number of offspring having curled wings and red eyes.

2. 5+ 13

  = 18

18 offspring have white eyes out of which 5 have curled wings have 13 have standard wings.

3. 45 + 13

  = 58

58 offspring have standard wings out of which 45 have red eyes and 13 have white eyes .

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y = 2.5x + 45.9

The Height is 72.3

Height = y

Shoe size = x

y = 1 / 6 (67 + 70+ 73.5 + 75 + 78 + 66) ≈ 71.6

x = 1/6 (8.5 + 9.5 + 11 +12 + 13 + 8 ) = 10.3 ≈10.3

=(67 * 8.5 + 70 * 9.5 + 73.5 * 11 + 75 * 12 + 78 * 13 + 66 * 8/ (8.5)² + 9.5 ² + 11 ² + 12 ² + 13 ² + 8²) - 6 * 10.3²

= 4485 - 4424.88 / 660.5 - 636.54

= 60.12 / 23.96

≈2.5

= 71.6 - 45 * 10.3 = 45.85 ≈45.9

⇒ y = 25 x + 45.9

When r = 10.5

y = 25 * 10.5 + 45.9 =72.15.

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The difference in population of 20-24 year old between California and Montana is 148 thousand        

What  major reason for the population difference ?

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The value of the expression [tex]7^{-8} . 7^6[/tex] is 1/7

The value of the expression [tex]3. 3^7[/tex] is [tex]3^8[/tex].

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

A)

[tex]7^{-8} . 7^6[/tex]

= [tex]7^{-8 + 6}[/tex]

= [tex]7^{-2}[/tex]

= 1/7

B)

3. [tex]3^7[/tex]
= [tex]3^1.3^7[/tex]

= [tex]3^{1 + 7}[/tex]

= [tex]3^8[/tex]

Thus,

The value of the expression is 1/7 and [tex]3^8.[/tex]

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The effective interest rate of the loan would be

In this case, we are given 4 options:

The formula of compounded interest rate is:

[tex]A = P (1+\frac{r}{n})^{nt}[/tex]

Where:

A = amount, P = principal amount, r = interest rate, n = number of times interest rate compounded, t = time

Let’s assume the principal amount is $100 for 1 year

Loan L =

[tex]A = 100 (1+\frac{0.08254}{356})^{356x1}[/tex]

A = $108.603

Loan M =

[tex]A = 100 (1+\frac{0.08474}{52})^{52x1}[/tex]

A = $108.834

Loan N =

[tex]A = 100 (1+\frac{0.08533}{12})^{12x1}[/tex]

A = $108.875

Loan O =

[tex]A = 100 (1+\frac{0.08604}{1})^{1x1}[/tex]

A = $108.604

Therefore, the best effective interest rate for Craig is Loan L with nominal rate of 8.254% compounded daily.

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The height that Plant A has grown taller, as regards Plant B, is D. 1 / 2 inch

The height of Plant A is 5 / 6 inches while the height of plant B is 1 / 3 inches. To find how much taller Plant A is than Plant B, you need to subtract the height of Plant B from the height of Plant A.

As these fractions have different denominators, you need to find a common denominator of the bases. This common denominator would be the least common multiple of the denominators of 3 and 6.

This least common multiple is 6. Then divide the common denominator by the denominator of the height and multiply it by the numerator to give ;

= ( 5 - 2 ) / 6

= 3 / 6 inches difference

In the simplest form, this is:

= 3 / 6

= 1 / 2 inches

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Answer:

x = 245/2 (In exact form)

and,

x = 122.5 (In decimal form)

or,

x = 1221/2 (In mixed number form)

Step-by-step explanation:

The vertex and range of h(x) is (a) Vertex (−3, −1); Range −1 ≤ y ≤ ∞

The table of values is given as

x h(x)

−6 8

−5 3

−4 0

−3 −1

−2 0

−1 3

In this case, the vertex is the minimum, and it is represented as

Vertex = (-3, -1)

Also, the range is the set of the output values

i.e. the h(x) values

These values as an interval are −1 ≤ y ≤ ∞

i.e. minimum of -1 and till infinity

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Answer:

the person above me is valid

Step-by-step explanation:

No, the equation is not a good fit because the sum of the residuals is far from zero.

Two or more expressions with an Equal sign is called as Equation.

An equation was created for the line of best fit from the actual enrollment data. which was used to predict the dance studio enrollment values shown in the table.

We need to check whether the equation that produced the predicted values represents a good line of best fit.

No, the equation is not a good fit because the sum of the residuals is far from zero.

A line of best fit is meant to compensate for positive and negative deviation in a matter that balances them. A large residual values' sum shows that they are not balanced.

Hence, No, the equation is not a good fit because the sum of the residuals is far from zero.

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The line of best fit is No, the equation is not a good fit because the sum of the residuals is far from zero.

The difference between an observed value of the response variable and the value of the response variable predicted from the regression line.

Given:

According to the given data,

A line of best fit is designed to balance positive and negative deviation by making up for it.

The residual values are not balanced when their sum is significant.

Although B is near to this answer, A is simply the better appropriate one because the residuals must be somewhat close to zero to fit with the graph and validate the result, making it not a good fit.

Hence, the equation is not a good fit because the residuals are all far from zero.

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Answer:

The answer is attached to this response below.

Answer:

Down below

Step-by-step explanation:

60d - 55 > 525

60d - 55 + 55 > 525 + 55

60d > 580

60d/60 > 580/60

d > 9.66666666667

Hope this helps! :)

Answer:

1713

Step-by-step explanation:

Just use order of operations :)

A- The scale factor from Polygon A to Polygon B is 2.

B- The missing length of each side marked with ? in Polygon B is 3, 5

C- The measure of each angle marked with ? in Polygon A is 53°, 82°

Given that,

A- scale factor = side A/ side B = 5 / 2.5 = 2

B- Length of each missing sides= 1.5*2 = 3 and 2.5* 2 = 5

C- Since the scale factor does not change the measure of the angles, the missing angles remain the same that is 53° and 82°

Thus,

The scale factor from Polygon A to Polygon B is 2.

The missing length of each side marked with ? in Polygon B is 3, 5

The measure of each angle marked with ? in Polygon A is 53°, 82°

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The correct statement for the number of negative zeros and of positive zeros is given as follows:

The number of positive zeros is of 4, while the number of negative roots is of zero.

The number of possible positive and negative roots is obtained using Descartes' Rule.

The Descartes' Rule states that the number of positive roots is at most the number of sign changes in the sequence of polynomial's coefficients (disconsidering the zero coefficients), while the difference between these two numbers is always even.

The number of changes for this problem is given as follows:

4 changes.

The changes are given as follows:

As there are 4 changes, the number of positive roots is of 4, while the number of negative roots is of zero, as the polynomial is of the fourth degree.

The answer was given in general terms, as the statements are not presented.

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The principles can be used to explain how coordinates change when a figure is translated right, left, up, and down on the coordinate plane.

Verbal Descriptions: A verbal description of a set uses an English sentence to describe a rule that enables us to identify the class of objects under consideration as well as to determine whether or not any given object is a member of the set. The spoken descriptions of the three sets in the aforementioned cases are all used.

A vocal description contains the same details as on a label, including the artist's name, country, title of the work, date, size or scale of the piece, media, and method. A general description of the topic and the structure of the work is included in verbal description, which is more significant. By stating the rule that determines the value of a second quantity and assigns it to one quantity, a function can be vocally described.

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So, the correct answer is (d) 150 mi.

To find out how far Greg drove, you need to multiply the speed of his car (50 mph) by the amount of time he spent driving (212 hours).

Speed = Distance/Time

Distance = Speed * Time

Distance = 50 * 212

Distance = 10600 miles

So, Greg drove 10600 miles.

It's important to note that the question is asking for the answer in miles and not kilometers.

To convert meters to miles, you can use the conversion factor 1 mile = 1609.344 meters.

To convert a measurement in meters to miles, you can multiply the number of meters by the conversion factor.

For example, if you want to convert 1000 meters to miles, you would multiply 1000 by the conversion factor of 1/1609.344 which is approximately 0.000621371.

1000 meters = 0.000621371 miles

So, the correct answer is (d) 150 mi.

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$1.40 for each wings.

You have to divide $26.60 by 19

The total of the equation 5 wholes and 2/3 x 3/4 is 4 1/4

The total of the equation is found by multiplication of fractions.

Fractions are system of numbers used to represent a number in forms which has two basic parts

The fraction required are:

5 wholes and 2/3 = 5 2/3

3/4

The multiplication

= 5 2/3 * 3/4

The first step is  done by converting the mixed number to improper fraction = = 5 2/3  = 17/3

= 17/3 * 3/4

= 17/4

17/4 is an improper fraction and 4 1/4 as a mixed number

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Answer:

Omit step 3 and 5 and then step 6 can be used as step 5 as CPCTC

Step-by-step explanation:

The slope of the given expression y=2/5 is calculated by comparing them with the standard slope-intercept form. Then, the slope is 0.

A line's slope provides information about its steepness, or how much y rises as x rises. The slope is used to compare the y-axis, or vertical axis, with the x-axis, or horizontal axis. It can be determined by dividing any two y values by any two x values.

The common formula for the equation is expressed by slope-intercept form as y=mx+b. In this case, the slope in this equation is denoted by m, while the y-intercept is denoted by b. In the following step, the slope is determined by comparing the provided expression with this.

Given the expression is y=2/5=0.4. Comparing this with the slope-intercept form, we get, slope m=0, x=0, and b=0.4. Therefore, the required slope is 0.

The complete question is -

What is the slope of y=2/5?

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The variables that Amari used is C. Weight of bag of potato chips

In this case, Amari gathered a random sample of bags of potato chips from a popular company. She calculated data on different variables. For one of the variables that she collected, she constructed a bar graph.

A variable is a symbol used to represent a mathematical object in mathematics. Any number, vector, matrix, function, function argument, set, or set element can be represented by a variable. A characteristic that can be measured and given different values is known as a variable. Variables include things like height, age, income, province of birth, school grades, and type of housing.

In this.case, the weight is used.

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Answer:

D Flavor of potato chips

Step-by-step explanation:

I took the test and it was right!

Answer:

please see below

Step-by-step explanation:

(2.35-2.1)÷2.1 ×100%

Step-by-step explanation:

[tex]3^5\cdot3^{-1}\\=\frac{3^5}{3}\\=\boxed{3^4}[/tex]

Hello there!

Answer:

81

Step-by-step explanation:

We can use the special formula:

[tex]a {}^{n} \times a {}^{m} = a {}^{m + n} [/tex]

where a = 3, n = 5 and m = -1.

[tex]3 {}^{5} \times 3 {}^{ - 1} = {3}^{5 - 1} = 3 {}^{4} = (3 {}^{2} ) {}^{2} = 9 {}^{2} = 81[/tex]

The number is 62

What are the basic operations in mathematics?

The basic operations in mathematics are:

We can start solving the problem by using algebra. Let's call the unknown number "x". According to the problem, we know that:

814 = 12x + 70

To find the value of x, we can subtract 70 from both sides of the equation:

814 - 70 = 12x

744 = 12x

Now, we can divide both sides of the equation by 12:

x = 744/12

x = 62

So, the number is 62.

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Hi !

[tex]A= \frac{b \times h}{2} [/tex]

Have a nice day