Is {(-7, 20), (3, 5), (0, 5), (-2, 0), (6, -4), (-6, -9), (4, 4)} a function? Explain why

Answer:

The correct answer is B. Quantitative data, because the numbers represent numerical values that can be measured and compared.

The total cost for 10 hours of work would be 25 + 50(10) = 525.

Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.

The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.

The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.

The total cost for 8 hours of work would be 25 + 50(8) = 425.

The total cost for 10 hours of work would be 25 + 50(10) = 525.

To know more about cost click-

brainly.com/question/25109150

#SPJ1

Answer: C

Step-by-step explanation:

the value of a remains the same

Answer:

896

Step-by-step explanation:

The least common multiple (LCM) of 16, 28, and 56 is 896. This can be determined by listing the multiples of 16, 28, and 56 and then finding the smallest number that is a multiple of all three numbers. The multiples of 16 are 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, 432, 448, 464, 480, 496, 512, 528, 544, 560, 576, 592, 608, 624, 640, 656, 672, 688, 704, 720, 736, 752, 768, 784, 800, 816, 832, 848, 864, 880, 896, etc. The multiples of 28 are 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504, 532, 560, 588, 616, 644, 672, 700, 728, 756, 784, 812, 840, 868, 896, etc. The multiples of 56 are 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, etc. The smallest number that is divisible by 16, 28, and 56 is 896, so 896 is the least common multiple of 16, 28, and 56.

The plane travels 2500 miles in 5 hours. The solution has been obtained by using unitary method.

What is the unitary method?

Using the unitary technique, the value of each individual unit is first calculated, and then the value of the necessary number of units is determined.

We are given that an airplane travels 125 miles in 1/4 hour. It travels the same number of miles each hour.

Using unitary method,

The miles traveled in 1 hour = 125 * 4 = 500 miles

So, the miles traveled in 5 hours = 500 * 5 = 2500 miles

Hence, the plane travels 2500 miles in 5 hours.

Learn more about unitary method from the given link

https://brainly.com/question/28731562

#SPJ1

Question:  An airplane travels 125 miles in 1/4 hour. It travels the same number of miles each hour. How many miles does the plane travel in 5 hours?

To calculate the value of g we have to multiply the G( universal gravitational constant) and M( mass of body) divide by R square.

Earth's acceleration caused by gravity, or the magnitude of g, is 9.8 m/s2. According to this, an item falling freely on Earth would accelerate by 9.8 metres per second. The gravity of the Earth is to blame for this acceleration.

The acceleration due to gravity formula is given by

[tex]g = \frac{GM}{R^2}[/tex]

Where,

G is the universal gravitational constant, G = 6.674×10-11m3kg-1s-2.

M is the mass of the massive body measured using kg.

R is the radius of the massive body measured using m.

g is the acceleration due to gravity measured using m/s2.

Learn more about Value of g;

https://brainly.com/question/23933436

#SPJ4

Answer:

y = -x + 8

Step-by-step explanation:

In order to write the equation of the line in slope intercept form, we first need to find the slope of the line given 2 coordinates.

There is multiple coordinates, however I am going to choose the two closest to the y intercept. We can either use [tex]\frac{rise}{run}[/tex] or [tex]\frac{y2-y1}{x2-x1}[/tex]. For the sake of simplicity, we will use [tex]\frac{rise}{run}[/tex]

Using [tex]\frac{rise}{run}[/tex], the slope is -1.

The line passes through (0, 8), which means the y intercept is 8. Thus, the equation is [tex]y=-x+8[/tex]

Any system of geometry that is not based on the principles of Euclidean geometry is known as non-Euclidean geometry.

Many geometrical systems that are not based on the parallel postulate or other Euclidean axioms are referred to as non-Euclidean geometry.

The parallel postulate asserts that given a line and a point off the line, there is only one line that can be drawn through the point parallel to the provided line.

Attempts to establish or refute this postulate gave rise to non-Euclidean geometries. Contrarily, non-Euclidean geometries are founded on diverse axioms that allow for various kinds of parallel lines, including multiple parallel lines in hyperbolic geometry and no parallel lines in elliptic geometry.

Non-Euclidean geometry is important to many fields of mathematics and science, including relativity theory and cosmology.

Learn more about non-Euclidean geometry.

https://brainly.com/question/30471282

#SPJ4

Answer:

Step-by-step explanation:

In this case total surface area of the prism is the sum of each of the areas of the sides of the triangular prism including the base. In order to find out the exact numerical value of the total surface area we can sum up the areas of each of the sides including the base.

the prism has 5 sides as it is triangular, so we have five values of area.

Let A1 and A2 be area of the triangular sides. A1=A2

A3 be the base area

A4 be the slant side's area

A5 be the area of the side with 6cm height

A1=A2=(8*6)/2=24cm^2

A3=8*4=32cm^2

A4=10*4=40cm^2

A5=6*4=24cm^2

A=A1+A2+A3+A4+A5

A=24+24+32+40+24=144cm^2

The function is given as 6 < x < 15

Assuming that Pass members pay $8 each movie for the first five films, the equation y = 8x will be used to express this. Also, it is stated that after five films, additional films are free up to fifteen films. Thus, y = 40 will be the function used to represent this.

X represents the total number of films, while Y represents the monetary cost.

the function would be:

y = 8x{0 < x < 5}

y = 8 x 5

y = 40 {6 < x < 15}

Read more on functions here:https://brainly.com/question/25638609

#SPJ1

Therefore , the solution of the given problem of domain comes out to be The range is {-10, 2, 3, 4, 5, 6, 7} and The domain is {-10, -6, 2, 3, 4, 5, 6, 7, 10}

The domain of a function is the range of possible arguments that it can accept. The cross of the an f-like functional is represented by these numbers (x). The range of potential values to which a function can be applied is known as its domain. The value that the procedure returns after inserting the x value is part of this set. An equation for a function is Y = f, where y and x are predictor variables (x). When a given value of x can produce a single value of y, a parameter is said to be in the scope of a function.

Here,

To determine if the relation is a function, we need to check if each input value (the "x" value) corresponds to exactly one output value (the "y" value).

Looking at the relation {10, 2, -10, 2, 6, 4, 5, 3, -6, 7}, we can see that the input value 2 corresponds to two different output values, 2 and 4. Therefore, the relation is not a function.

To find the domain, we simply list all the input values in the relation. The domain is:

{-10, -6, 2, 3, 4, 5, 6, 7, 10}

To find the range, we list all the output values in the relation.

The range is:

{-10, 2, 3, 4, 5, 6, 7}

To know more about domain visit:

https://brainly.com/question/28135761

#SPJ1

The surface area of the asked cube is 6x² cm²

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given is a cube, with side x cm,

We are asked to find the surface area of the cube,

There are 6 square faces of a cube, and the area of a square is side²,

Since, there are 6 square faces,

Therefore, the surface area of the cube, is given by :-

6 × side²

side = x

The surface area of the cube = 6x²

Hence, the surface area of the asked cube is 6x² cm²

Learn more about surface area, click;

https://brainly.com/question/29101132

#SPJ1

Parallel lines are lines that are always the same distance apart and will never intersect. Intersecting lines are lines that cross or meet at a point. Perpendicular lines are lines that intersect at a right angle (90 degrees).

To determine if lines are parallel, you can look at their slopes. If two lines have the same slope, they are parallel. For example, the lines y = 2x + 3 and y = 2x - 5 are parallel because they both have a slope of 2.

To determine if lines are intersecting, you can look at their slopes and y-intercepts. If two lines have different slopes, they will intersect at some point. For example, the lines y = 2x + 3 and y = -x + 7 are intersecting because they have different slopes (2 and -1, respectively).

To determine if lines are perpendicular, you can look at their slopes. If the product of the slopes of two lines is -1, they are perpendicular. For example, the lines y = 2x + 3 and y = -0.5x + 7 are perpendicular because the product of their slopes (2 and -0.5) is -1.

I hope this helps! Let me know if you have any further questions.

More about linear equations here

https://brainly.com/question/17323717

#SPJ11

Inches to decimal is the conversion used in converting inches to decimal feet. So 1 inch = 0.0833 decimal feet.

By multiplying or dividing, a conversion factor aids in changing one set of units to another. It is the formula necessary to convert a measurement from one unit system to another unit system of the same measurement.

The conversion of inches to decimals is important in the conversion of feet. To convert inches to decimal of foot, multiply the given inches value by  0.0833. That is 1 inch = 0.0833 decimal feet. For example, 6 inches is converted as 6×0.0833=0.4998 decimal feet.

To know more about conversion factors:

https://brainly.com/question/7716790

#SPJ4

The value of 12.5 kg into lbs can be converted by multiplying kilogram by 2.204622  so the answer is 27.55 pounds.

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.

Pounds = kilograms × 2.20462262184878

= 12.5 x 2.20462262184878

= 27.55 pounds or lbs.

Learn more about Kilograms to pounds;

https://brainly.com/question/1400987

#SPJ4

The statement 'a correlational study is used to examine the relationship between two variables but cannot determine whether it is a cause-and-effect relationship" is true.

The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction, with a value of 1 denoting a perfect positive correlation. A value of -1 shows a perfect negative, or inverse, correlation, while zero means no linear correlation exists.

When examining the link between two variables, a correlational analysis cannot establish if there is a cause-and-effect relationship.

This assertion is absolutely accurate. The data can only be used to infer cause and effect relationships if a proper experiment has been conducted. A control group and a sample of participants drawn using random sampling techniques are required for the study to qualify as an experiment.

Therefore, the given statement is true.

Learn more about the correlation coefficient here:

https://brainly.com/question/27226153.

#SPJ1

One acre is equal to 43,560 square feet. To convert acres to square feet, you can multiply the number of acres by 43,560.

For example, if you want to convert 6 acres to square feet, you can multiply 6 by 43,560:

6 acres x 43,560 square feet/acre = 261,360square feet

So, 6 acres is equal to 261,360square feet.

Acres and feet are area and length measurement units, respectively. There is no direct conversion between acres and feet because they measure different things. However, you can convert acres to square feet using a conversion factor.

Please keep in mind that this conversion only applies to area measurements. If you need to convert linear measurements from acres to feet, you'll need more information about the area's shape and dimensions.

For more question on acre click on

https://brainly.com/question/30029726

#SPJ4

The integral for the mass of a thin wire in the shape of a parabola density is [tex]\int[-1,1]\int[0,x^2] x^2 y^2 dy dx[/tex]

To find the mass of the thin wire in the shape of a parabola with density function ρ(x, y) = [tex]x^2 y^2[/tex],

we can set up a double integral over the region that describes the parabola. The mass M is given by the following integral:

M = ∬ρ(x,y) dA

where dA represents the area element in the xy-plane. To set up this integral, we need to first determine the limits of integration for x and y.

The parabola can be described by the equation y =[tex]x^2[/tex], where x ranges from -1 to 1. Therefore, the limits of integration for x are -1 to 1.

For each value of x, the y-values range from the parabola to the x-axis, which is the region between y = 0 and y = [tex]x^2[/tex]. Therefore, the limits of integration for y are 0 to[tex]x^2[/tex].

Using these limits of integration, the integral for the mass of the thin wire is:

M = ∫∫ρ(x,y) dA

=[tex]\int[-1,1]\int[0,x^2] x^2 y^2 dy dx[/tex]

This integral can be evaluated using standard integration techniques.

To learn more about  Parabola density :

https://brainly.com/question/15089285

#SPJ4

Answer:

80 degrees

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360 degrees. Adding up the known measures gives you 95 + 123 + 62 = 280. Then you can subtract that from 360. 360 - 280 = 80. So x has to be 80 degrees.

Therefore , the solution of the given problem of expression comes out to be the numbers we need to drag to complete this exercise are -25, since -5 multiplied by 5 gives us -25.

Addition, multiplication, and variables  mathematics are required. When combined, they produce the following: A mathematical operator, some data, and an equation A statement of fact contains values, parameters, and mathematical operations including additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various sentences and words.

Here,

Given :

To factor the expression -5g + 15h using a negative factor, we can rewrite it as:

-5(g - 3h)

Now, we can see that the expression has been factored using a negative factor (-5). We can check this by distributing the factor back and verifying that it gives the original expression:

-5(g - 3h) = -5g + 15h

So the numbers we need to drag to complete this exercise are -25, since -5 multiplied by 5 gives us -25.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

Answer: $5938.92

Step-by-step explanation:

GST = original price * 10% = $5999 * 0.1 = $599.90

The total GST inclusive price would be the sum of the original price and the GST, which is:

GST inclusive price = original price + GST = $5999 + $599.90 = $6598.90

Sale price = (GST inclusive price + GST) * (1 - 10%) = ($6598.90 + $599.90) * 0.9 = $6598.80 * 0.9 = $5938.92

Therefore, the correct sale price should have been $5938.92, and the car yard should have paid the 10% GST on each sale, as advertised.

The volume of the solid here which is enclosed by paraboloids is 81π.

Use cylindrical coordinates.

z = x² + y² ==> z = r²

z = 18 - (x² + y²) ==> z = 18 - r².

Curve of intersection:

r² = 18 - r² ==> r = 3, a circle.

So, the volume ∫∫∫ 1 dV equals

∫(θ = 0 to 2π) ∫(r = 0 to 3) ∫(z = r² to 18 - r²) 1 * (r dz dr dθ)

= 2π ∫(r = 0 to 3) rz {for z = r² to 18 - r²} dr

= 2π ∫(r = 0 to 3) r(18 - 2r²) dr

= π ∫(r = 0 to 3) (36r - 4r³) dr

= π(18r² - r⁴) {for r = 0 to 3}

= 81π.

The intersecting curves that are transversally intersecting make up an intersection curve in most cases, which means that the surface normals are never parallel at any common point. This limitation does not apply in situations when the surfaces touch or share surface elements. The intersections of two revolution cylinders form the bicylindrical curves.

Learn more about Curve of intersection here brainly.com/question/17063275

#SPJ4

Connie's total bill is 9.13$

The area of the trepezium will be 80 sq. unit.

What precisely is a trepezium?

Trapezoids are made up of two parallel and two oblique sides. A Trapezium is another name for it. A trapezoid is a closed four-sided shape or figure with a space-filling perimeter. It is a 2D figurine rather than a 3D figure. A trapezoid's bases are the sides that are parallel to one another. Legs are non-parallel sides, often known as lateral sides. The space between its parallel sides determines its height.

A trepezium's area is equal to 1/2*(a+b)*h.

where h is the height or distance between two parallel lines

The lines a and b are parallel.

Now,

Given A rectangle with a length of 17 and a height of 4 has two right triangles on each side of it with long leg lengths of 5

then parallel sides of trepezium will be 17 and 17+3+3=23

because for the triangle base will be =√5²-4²

=3

and height of trepezium=4 unit

So, area of trepezium will be=1/2(23+17)*4

=40*2

=80 sq. unit

hence,

           The area of the trepezium will be 80 sq. unit.

To know more about Trepeziums visit the link

https://brainly.com/question/12003076?referrer=searchResults

#SPJ1

The 6 times table is a multiplication table that shows the results of multiplying any number by 6.

It is a fundamental arithmetic skill that students typically learn in elementary school, and is an important building block for more advanced math concepts.

To generate the 6 times table, you simply multiply 6 by each whole number starting with 1, and continue the pattern up to a desired number. The first few products in the 6 times table are as follows:

1 x 6 = 6

2 x 6 = 12

3 x 6 = 18

4 x 6 = 24

5 x 6 = 30

6 x 6 = 36

7 x 6 = 42

8 x 6 = 48

9 x 6 = 54

10 x 6 = 60

...

and so on.

It is important for students to memorize the 6 times table, as it can be used to solve a variety of math problems involving multiplication, division, fractions, and decimals. Mastery of the 6 times table is also a key step in preparing for more advanced math concepts, such as algebra and calculus.

To learn more about table click on,

https://brainly.com/question/28872860

#SPJ4

The factored expression of 20 + 16 is 4 (5 + 4).

Factoring is the process of representing a given number or algebraic statement as the sum of its components.

A relevant strategy is used, depending on the situation, to identify the components.

Locating GCD (Greatest Common Divisor)

It is possible to factor an equation where every term has GCD 0 by eliminating GCD as a common component.

Employing Identity

The given expression is:

20 + 16

20 can be written as 4(5).

16 can be written as 4(4).

20 + 16 = 4(5) + 4(4)

Taking the common term out we have:

20 + 16 = 4 (5 + 4)

Hence, the factored expression of 20 + 16 is 4 (5 + 4).

Learn more about factors here:

brainly.com/question/29065045

#SPJ1

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)

To know more about Binomial to Normal distribution here

https://brainly.com/question/30266700

#SPJ4  

In observational studies, the variable of interest option (a) is not controlled

In observational studies, the variable of interest refers to the data that is being collected and analyzed. It is a specific factor or phenomenon that researchers are looking to gain insight from.

The variable of interest is not controlled by the researcher, meaning that the researcher does not influence the data or manipulate the results in any way; rather the researcher simply observes the data and the phenomenon. The variable of interest could be numerical or non-numerical.

If the interest is in the correlation between gender and academic performance, then this is a non-numerical variable, as gender is not a numerical value.

However, if the interest is in the correlation between hours spent studying and grade point average, then this is a numerical variable, as grade point average is a numerical value.

Therefore, option (a) is the right choice.

To know more about observational studies here.

https://brainly.com/question/15938198

#SPJ4

The value of length of 65-inch after converting in decimals is 165.1 centimeters.

The conversion is important because some countries, such as those in Europe and Asia, use the metric system, which is based on centimeters, while others, such as the United States, use the imperial system, which is based on inches.

Knowing the conversion rate between these two systems can be useful in many situations, especially when it comes to purchasing electronics or other goods that are measured in different units of measurement.

Here,  to convert inches to centimeters the formula used is:

1inch is equal to 2.54 cm.

In this case, 65 x 2.54 equals 165.1 centimeters.

The length of 65-inch  is equal to approximately 165.1 centimeters.

To know more about length:

https://brainly.com/question/22059747

#SPJ4

Answer:

C. To make predictions about the values of y for a given​ x-value (I THINK)