Use the terms domain, range independent variable and dependent variable to explain how function relates one variable to another variable. Fill in the blanks below: A function is a rule that assigns to each value of the in the unique value of the in tne

Answer:

I don't really understand geo but if this is proof so u have to see if there is anything parallel perpendicular

Clara’s wrapping paperweight friend is a conical shape with a slanted base.

Weight is a measure of the gravitational force that is object experience due to its mass weight is typically majority Newton's and all the formula of poet is mass it is an important factor in many activities such a sports exercise and even everyday task the amount of weight and absent carries affected it balance stability and momentum with is an important factor to consider when using mechanics.

It has a 3.14 π measurement and an area of 50.24 square centimeters. It weighs 125.6 grams. The conical shape of the paperweight gives it a unique look and allows it to stand easily on a flat surface. The slant base gives it a stylish look, as well as helping it to remain stable when placed on a flat surface. The paperweight is made from a durable material, making it perfect for use as a gift. The paperweight’s 3.14 π measurement and the 50.24 square centimeters area give it a unique and eye-catching look, making it a great gift for a friend. The paperweight is also lightweight at 125.6 grams, making it easy to transport and store. This makes it a great choice for wrapping and sending to a friend as a gift.

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The true statement on the stemplot showing the data on states that people had visited is D. If the missing data were 50, the range of the data would change substantially.

Outliers can have a significant impact on the range of a dataset. The range is the difference between the largest and smallest values in a dataset.

If an outlier is very large or very small in comparison to the other values in the dataset, it can cause the range to be much larger than it would be without the outlier.

If 50 was the missing figure, then the range would therefore have to change substantially from :

= 31 - 8

= 23

To :

= 50 - 8

= 42

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Answer:

11/20

Step-by-step explanation:

3/4 - 1/5

= 15/20 - 4/20

= 11/20

So, the answer is 11/20

3x + 8 = 3x + x, which has one solution at x = 8 for the equation..

In arithmetic, a solution to the equation expresses can be substituted for the variable to provide a piece of real number information.

The equation is given as 3x+8=3x+ ____.

If 3x + 8 = 3x + 9 has no solution for the equation.

If 3x + 8 = 3x + 8 has infinite solutions for the equation.

If 3x + 8 = 3x + x is equal to 3x + 8 = 4x, which has one solution at x=8 for the equation.

Therefore, 3x + 8 = 3x + x, which has one solution at x = 8 for the equation.

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The question seems incomplete, the complete question would be as:

3x+8=3x+ ____

What value could you write in after 3x that would make the equation true for:

Group of answer choices

no values of x

[ Choose ]

all values of x

[ Choose ]

just one value of x

[ Choose ]

The one important use of the regression line is to make predictions about the values of y for a given x-value, the correct option is A

In statistics, linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables. The case of one explanatory variable is called simple linear regression; for more than one, the process is called multiple linear regression.

We are given that;

The uses of regression line

Now,

The main purpose of a linear regression model is to find a linear equation of the formy^=mx+c

Here,

we can use the value of x to predict the value of y

Therefore, by regression line the answer will be A.

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32 ounces make up a quart. This is a common unit of measurement in the US and other nations that follow the imperial system. Two pints, four cups, or 0.946 liters make up a quart.

The Latin word quartus, which means "fourth," is where the word "quart" originates. This is due to the fact that a quart is 128 ounces or one-fourth of a gallon. A quart is a standard unit of measurement for liquid volumes in the dairy sector, as well as in cooking and baking.

In conclusion, the unit of measurement known as a quart is equivalent to 32 ounces or one-fourth of a gallon. It is frequently employed in dairy production, baking, and cooking. When measuring and preparing components, it's crucial to comprehend how to convert between quarts and other measurement units.

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The area of the play area is 8.74 square feet.

If Highwood Park has 420 feet of fencing, then we can use the formula f = 47(a + 9) – 16 to calculate the area of the play area.

This formula takes in account the area (a) of the play area, as well as the number of feet of fencing needed to enclose it (f).

In this equation, the number of feet of fencing (f) is equal to 47 multiplied by the area (a) plus 9, and then subtracted by 16.

Since we know that the amount of fencing is 420 feet, we can solve the equation for the area, a.

First, we need to subtract 16 from both sides of the equation. This leaves us with

=> 420 = 47a + 9.

Next, we subtract 9 from both sides of the equation, which gives us

=> 411 = 47a.

Finally, we divide both sides of the equation by 47, which gives us

=> a = 8.74.

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Answer:

46 tickets

Step-by-step explanation:

$30 - $6.75 = $23.25 ÷ .50 = 46.5

You can't have half a ticket, so 46

Answer: 46 tickets

Step-by-step explanation:£23.25 are left after he has purchased his snack pack. because game tickets cost £0.50 , all you have to do is times 0.5 by the numbers given (46,48,23,75 ) until you get past the money limit which is £23.25

all i did was 46 x 0.5 which was £23

if i were to do 48 x 0.5 the answer i would get is £24, however, as you can see the amount of money greg has left is £23.25, which means 48 tickets is out of his budget

The standard form of the polynomial f( x ) = ( x + 4 )² - 18 is f( x ) = x² + 8 - 2.

The standard form of a polynomial is expressed as;

ax² + bx + c

To write a polynomial in its standard form, we simplify and arrange the terms in descending order.

Given the function in the question;

f( x ) = ( x + 4 )² - 18

First, simplify using FOIL Method

f( x ) = ( x + 4 )( x + 4 ) - 18

f( x ) = x( x + 4 ) + 4( x + 4 ) - 18

f( x ) = x² + 4x + 4x + 16 - 18

Add like terms

f( x ) = x² + 4x + 4x + 16 - 18

f( x ) = x² + 8 - 2

Therefore, the standard form is f( x ) = x² + 8 - 2.

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Answer: Math?!

Step-by-step explanation:

Answer:

When x=3 the answer is 243

Step-by-step explanation:

3 to the power of 5 (3^5) is 243

Answer:

100000

Step-by-step explanation:

7+x⁵ = 250

x⁵ = 250 - 7

x⁵ = 243

⁵√243 = ⁵√x⁵

x = 3

Then:

(7+x)⁵ = (7+3)⁵ = 10⁵

10⁵ = 100000

Answer:

Use a calculator it is 9

Step-by-step explanation:

The value 0.75 inches to mm is 19.05

in one inch = 25.4  millimeters

so in 0.75 inch is 0.75* 25.4 = 19.05 mm

customs (character: in or ″) is the unit of length in the British Imperial and US systems of measurement.1/36yard or1/12

one leg. A word derived from the Roman uncia ("twelfth"), the inch is sometimes used to convert similar units in other measurement systems that are usually understood to be derived from the width of the human thumb. .

The standard for the exact length of one inch has historically varied, but since its adoption by international shipyards in the 1950s and his 1960s, the inch has been based on the metric system and defined exactly as 25.4 mm. increase.

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The value of x is 20, and the measures of the angles are:

H = 58°

I = 71°

J = 51°

We know that the sum of the interior angles of a triangle is always equal to 180°, and here we know that the measures are:

H = 3x - 2

I = 4x - 9

J = 3x - 9

Then we can write the linear equation:

3x - 2 + 4x - 9 + 3x - 9 = 180

And solve that for x.

10x - 20 = 180

10x = 180 + 20

10x = 200

x = 200/10 = 20

Then the measures of the angles are:

H = 3x - 2 = 3*20 - 2 = 58

I = 4x - 9 = 4*20 - 9 = 71

J = 3x - 9 = 3*20 - 9 = 51

So the correct option is C.

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The conversion of 750ml in oz is equal to 25.36 fluid ounces.

One- thousandth of a liter is a substitute to one milliliter.

Milliliters denoted by ml.

Ounces and fluid ounces are two unlike units.

1 fluid ounce is equal to the 1.04 oz weight.

US fluid ounce contain 29.6 milliliters and British fluid ounce contain 28.4 milliliters.

Ounce expressed by notation oz.

We can use the following formula to convert milliliters (ml) to fluid ounces (oz):

1 ml = 0.033814 oz

Here we want to convert the  750ml into oz

So, to convert 750 ml to oz,

We can multiply 750 by 0.033814:

750 ml × 0.033814 oz/ml

= 25.36 oz (rounded to two decimal places)

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54 degrees Celsius is equivalent to 129.2 degrees Fahrenheit.

A temperature unit developed from the SI (International System of Units) is the Celsius (symbol: °C).

Prior to the adoption of the metric system, the Fahrenheit (symbol: °F) was a commonly used measurement of temperature.

Add 1.8 to the °C temperature.

To this number, add 32.

This is the response in degrees Fahrenheit.

To convert 54 degrees Celsius to Fahrenheit,

You can use the formula:

°F = (°C × 9/5) + 32

where °F is the temperature in Fahrenheit,

°C is the temperature in Celsius.

Substituting 54 for °C, we get:

°F = (54 × 9/5) + 32

°F = (486/5) + 32

°F = 97.2 + 32

°F = 129.2

Therefore, 54 degrees Celsius is equivalent to 129.2 degrees Fahrenheit.

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Answer:

<1,6>

Step-by-step explanation:

We are adding vectors.  Add the first components together.  Then add the second components together.

<5, -2> + <-4, 8>

< 5+-4, -2+8>

<1,6>

From the Venn diagram , the value of  required probability P(A∪B) is given by :

Option a). 0.6 . The probability that students  takes both Spanish and Chemistry.

Let us consider 'A' be the probability of the students who takes Chemistry.

And 'B' be the probability of the students who takes Spanish.

From the Venn diagram we have,

Probability of A 'P(A) ' = 0.2 + 0.1

                                    = 0.3

Probability of B 'P(B)' = 0.3 + 0.1

                                   = 0.4

Probability of A∩B 'P(A∩B)' = 0.1

Probability of A∪B is given by :

P(A∪B) = P(A) + P(B) - P(A∩B)

Substitute the value we get ,

⇒ P(A∪B) = 0.3 + 0.4 - 0.1

⇒ P(A∪B) =  0.6

P(A∪B) represents the probability of the students that takes both Chemistry and Spanish.

Therefore, the value and explanation of P(A∪B)  is equal to :

Option a). 0.6 , the probability of the students that takes both Chemistry and Spanish.

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The above question is incomplete , the complete question is:

The - Venn diagram below describes the probability of students who will take Chemistry and Spanish at Jefferson High School next year, where A Student takes chemistry and B Students takes Spanish. Suppose one student is chosen at random Use the attached Venn diagram .

Find the value of P(A∪B) and describe in words.

a.) 0.6; The probability that the student takes both chemistry and Spanish.

b.) 0.1; The probability that the student takes both chemistry and Spanish.

c.) 0.1; The probability that the student takes either chemistry or Spanish; but not both.

d.)0.6; The probability that the student takes either chemistry or Spanish, or both.

Venn diagram is attached.

230 lbs is approximately equal to 104.3260 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

230 lbs =  0.453592 × 230

Multiply the numbers

= 104.3260 kg ( rounded to four decimal places )

Therefore, 230 lbs is 104.3260 kg

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The height of the tree in the given situation , by using similar triangles property , we have y = 19.54 ft.

Two figures are said to be similar if they have the same shape. Congruent objects are those that are exactly the same size and shape. . The objects with similar shapes, however, varied in size despite having the same shape.

If Susan , mirror and bottom of tree are points on the ground all on one line, then the two right triangle are these:

LEFT: y and 34 as the legs and unknown hypotenuse.

RIGHT: 5 and 8.7 as legs and unknown hypotenuse.

The two angles at the mirror are of same measure; that is, the 34 and the hypotenuse of LEFT triangle makes same angle measure as the 8.7 and the hypotenuse of the RIGHT triangle.

Then the ratio of corresponding sides ,

y / 34 = 5 / 8.7

y = 19 .54 ft

The tree is 19.54 ft tall.

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The given rational numbers are expressed by simply cancelling the elements, 2x2(x-4) / x(x-1).

what is rational number ?

Rational numbers are those that may be defined as a ratio (or portion) of two integers. A fraction with a strictly positive denominator is said to be rational. A few instances with rational numbers are 1/2, 1/5, and 3/4. As little more than a positive integer, "0" can also be stated in a number of different ways, such as 0/1, 0/2, and 0/3. But 1/0, 2/0, 3/0, and so forth. The theme makes sense.

A rational number is produced when several integers are split. To get the rational number 7, divide ’s entire number 7 by the full number 1. Since 7 can be derived by dividing two integers, it is referred to as a real number.

given

= 2x² (x+2)(x-4) / x(x-1)(x+2)

= 2x²(x-4) /  x(x-1)

The given rational numbers are expressed by simply canceling the elements, 2x2(x-4) / x(x-1).

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The result of the multiplication of -5.6 and -4/2 is given as follows:

11.2.

The multiplication operation for this problem is defined as follows:

-5.6 x -4/2.

A multiplication operation and a division operation have the same precedence, hence we can simplify the division as follows:

-4/2 = -2. (fraction is equivalent to a division operation).

Considering the simplified quotient, the multiplication is given as follows:

-5.6 x (-2)

As two terms with the same signal are multiplied, the product is positive, 5.6 x 2 = 11.2, hence the product is given as follows:

-5.6 x (-2) = 11.2.

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With the help of linear equation 3 3/5+x=7 1/5, Elana ran 3 3/5 miles.

What exactly is a linear equation?

A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0, for example, x-10=0. In this equation, x is a variable, A is a coefficient, and B is constant.

A linear equation in two variables has the conventional form Ax + By = C, for example, 2x-4y=10. The variables x and y are variables, the coefficients A and B are coefficients, and the constant C is a constant.

Now,

Given that Emily ran 3 3/5 miles.

and Emily and Elana together ran 7 1/5 miles

i.e. 3 3/5+x=7 1/5

where x= Miles Elana ran

then x=7 1/5 - 3 3/5

=3 3/5

hence,

      The  linear equation will be 3 3/5+x=7 1/5 and Elana ran 3 3/5 miles.

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The value of 105 lbs into kilogram can be converted by multiplying pounds by 0.453592 so the answer is 47.627 kilograms.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.

The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.

105 x 0.45359237 = 47.62719885

105 lbs ≈ 47.63 kg

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We can solve the given problem using conversion of Binomial to Normal distribution.

(The binomial distribution is defined as the discrete probability distribution which can only give two possible results in an experiment, that is either success or failure.)

The binomial distribution is converted to Normal distribution  when the number of total trial, denoted as n is sufficiently large and the probability of success ( or failure), represented as p is small.

Mean , E(x)= np

Variance, V(x) = npq

where  V(x) and E(x) are variance and mean of normal distribution.

Given,

n= 4590, p=  35%= 0.35, q= 0.65

Thus, E(x) = 4590 * 0.35 = 1606.5

V(x) = 4590 * 0.35* 0.65= 1044.225

Thus,  the probability the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is,

P( x > 1606.5)= P( x<= 1606.5)

                    = P( z= x-1606.5 / 1044.225)

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The length of the guy wire, to the nearest foot is 23 feet.

Based on the information provided, we can logically deduce that triangle ABE (ΔABE) is similar to triangle (ΔCDE) and the following parameters about the geometric figures;

Additionally, the corresponding sides of similar triangles are equal;

AB/CD = BE/DE

AB/6 = (9 + 4)/4

AB/6 = 13/4

AB = 19.5 feet.

By applying Pythagorean' theorem, side AE is given by:

AE = √(AB² + BE²)

AE = √(19.5² + 13²)

AE = 23.44 ≈ 23 feet.

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1/4 of all the students in the orchestra are girls who play string instruments.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let's assume there are a total of 100 students in the school orchestra. Then, according to the problem, 2/5 of them are string players.

The number of string players is:

2/5 x 100 = 40

Out of these 40 string players, 5/8 are girls.

The number of girls who play string instruments is:

5/8 x 40 = 25

Therefore, the fraction of all the students in the orchestra who are girls who play string instruments is:

25/100 = 1/4

Therefore, 1/4 of all the students in the orchestra are girls who play string instruments.

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The values of the variables are x = 38 and x = 14

Triangle 1

From the question, we have the following parameters that can be used in our computation:

The triangle

Where, we have

x - 2 : 27 = 4 : 3

This gives

(x - 2)/27 = 4/3

This gives

x - 2 = 36

This gives

x = 38

Triangle 2

Here, we have

13/3x = 7/(2x - 5)

Cross multiply

26x - 70 = 21x

So, we have

5x = 70

Divide

x = 14

Hence, the value of x is 14

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The answers are:

a)the number we're looking for is [tex]2^{(-97.5)}[/tex], or approximately [tex]1.629 x 10^{(-30)}.[/tex]

b)the value of a is -13.

c) there were 61 people in the line before the second round of people squeezing in.

What is algebra?

Algebra involves solving equations and manipulating expressions to find the value of unknown quantities. It involves working with numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

11. We can solve this problem by using the properties of exponents and algebra.

Let the number we're looking for be x. Then, we can write the equation:

x * 8⁶⁵ = 16⁵⁰

We can simplify the right side of the equation by using the property:

[tex]a^2 = (a^{1/2})^2[/tex]

So, we have:

[tex]16^{50} = (2^4)^{50} = 2^{(4*50)} = 2^{200}[/tex]

Now we can substitute this into the equation:

[tex]x * 8^{65} = 2^{200}[/tex]

We can simplify the left side of the equation by using the property:

[tex]a^n * b^n = (ab)^n[/tex]

So, we have:

[tex]x * (8^2)^{32.5} = (2^3)^{32.5} = 2^{(3*32.5)} = 2^{97.5}[/tex]

Now we can substitute this into the equation:

[tex]x * 64^{32.5} = 2^{97.5}[/tex]

We can simplify the left side of the equation by using the property:

[tex]a^{(n/2)} = (a^n)^{(1/2)}[/tex]

So, we have:

[tex]x * (2^6)^{32.5} = x * 2^{(6*32.5)} = x * 2^{195}[/tex]

Now we can substitute this into the equation:

[tex]x * 2^{195} = 2^{97.5}[/tex]

We can simplify both sides of the equation by dividing by [tex]2^{195}[/tex]:

[tex]x = 2^{97.5} / 2^{195}[/tex]

[tex]x = 2^{(-97.5)}[/tex]

Therefore, the number we're looking for is [tex]2^{(-97.5)}[/tex], or approximately [tex]1.629 x 10^{(-30)}.[/tex]

12. We can find the equation of the line using the two given points and then use the fact that the line passes through the origin to solve for a.

First, we can find the slope of the line using the two given points:

slope = (y2 - y1) / (x2 - x1)

slope = (3 - 9) / (40 - (2a + 50))

slope = -6 / (-2a - 10)

slope = 3 / (a + 5)

Now we can use the point-slope form of the equation of a line to write the equation of the line passing through the two given points:

y - 9 = (3 / (a + 5))(x - (2a + 50))

Simplifying this equation, we get:

y - 9 = (3x / (a + 5)) - (6a + 150 / (a + 5))

Now we can use the fact that the line passes through the origin to solve for a:

When x = 0, y = 0, so we can substitute these values into the equation:

0 - 9 = (3(0) / (a + 5)) - (6a + 150 / (a + 5))

-9(a + 5) = 6a + 150

Expanding and simplifying:

-9a - 45 = 6a + 150

-15a = 195

a = -13

Therefore, the value of a is -13.

14. Bree can organize her trip in different ways depending on how many countries she decides to visit. If she visits only one country, there is only one way to organize her trip. If she visits two countries, she can either choose to visit the second country or skip it, which gives her 2 possible ways to organize her trip. If she visits three countries, she has 2 options for the second country and 2 options for the third country (visit or skip), giving her a total of 2x2 = 4 ways to organize her trip. Following this logic, we can create a table to show the number of ways Bree can organize her trip for different numbers of countries:

Number of countries | Number of ways to organize a trip

1                                        1

2                                       2

3                                       4

4                                       8

5                                      16

6                                      32

7                                      64

Therefore, Bree can organize her trip in a total of 1 + 2 + 4 + 8 + 16 + 32 + 64 = 127 ways.

13. Let's start by working backward. After the second round of people squeezing in, there are 121 people in the line. Let's call the number of people in the line before the second round "x". Then we can set up an equation to represent this situation:

121 = x + (x-1)

The reason we have x-1 in the equation is that between each pair of people in the original line, one person squeezed in during the first round, so we have one less gap between people in the new line.

Simplifying the equation, we get:

121 = 2x - 1

Adding 1 to both sides, we get:

122 = 2x

Dividing both sides by 2, we get:

x = 61

Therefore, there were 61 people in the line before the second round of people squeezing in. But before the first round, there were also gaps between people, so the actual initial number of people in the line is one more than the number of gaps. Since there are x-1 gaps between x people, there were 60 gaps and therefore 61 initial people in the line.

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