Which of the following relations is a function?
A.
(-9, 2), (-4, 3), (5, 7), (9, 2)
B.
(9, -10), (-9, 7), (9, 6), (-9, 12)
C.
(-9, 0), (-4, 5), (-9, -3), (5, 9)
D.
(-4, -2), (-9, -5), (5, 8), (5, 2)

Answer:

0.2m x 0.12m

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Scale of drawing = (10 / 50) x (6/50) = 0.2m x 0.12m

The evaluated value of the expression (-1) x (-2) x (-3) x (-4) x (-5) is 120.

To evaluate the expression (-1) x (-2) x (-3) x (-4) x (-5), we can simplify the multiplication of negative numbers using the rules of multiplication.

When multiplying negative numbers, we follow the rule that states "a negative multiplied by a negative equals a positive." Applying this rule to the given expression:

(-1) x (-2) x (-3) x (-4) x (-5) = 1 x 2 x 3 x 4 x 5

Multiplying the positive integers together, we get:

1 x 2 x 3 x 4 x 5 = 120

The evaluated value of the expression (-1) x (-2) x (-3) x (-4) x (-5) is 120.

In simpler terms, multiplying five negative numbers together results in a positive value. In this case, the product of -1, -2, -3, -4, and -5 is 120. This illustrates the concept that when an odd number of negative factors are multiplied, the result is negative, but when an even number of negative factors are multiplied, the result is positive.

It's worth noting that the expression can be further simplified by removing the negative signs altogether, resulting in 1 x 2 x 3 x 4 x 5 = 120.

For more such questions on expressions.

https://brainly.com/question/1852123

#SPJ8

The equation that describes how the dependent variable (y) is related to the independent variable (x) is called the regression model (option d).

Regression is a statistical method used to analyze the relationship between a dependent variable and one or more independent variables. The regression model estimates the relationship between the dependent variable and the independent variable(s) and can be used to predict the value of the dependent variable for a given value of the independent variable(s).

The regression model is based on the least squares criterion (option c), which is a method used to find the best-fit line through a set of data points. The best-fit line is the one that minimizes the sum of the squared differences between the observed values of the dependent variable and the predicted values from the regression model.

Correlation analysis (option b) is a method used to measure the strength and direction of the relationship between two variables. Correlation analysis does not provide information about the nature of the relationship or allow for prediction.

The correlation model (option a) is not a commonly used term in statistics. However, it could refer to a model that estimates the correlation between two variables or a model that uses correlation as a predictor variable.

In summary, the equation that describes how the dependent variable (y) is related to the independent variable (x) is called the regression model, which is based on the least squares criterion.

Learn more about regression model

brainly.com/question/14983410

#SPJ11

Answer:

48+25.12=73.12

Step-by-step explanation:

6 baked a cake forty eight

8*4/2=16

Answer: 73.12in

Step-by-step explanation:

Answer:

Answer is explained Below

Step-by-step explanation:

He could subtract 3 from both sides of the equation first. Then he could divide both sides to get D alone. When you do the D=

Answer:

4

Step-by-step explanation:

2 + 2 = 4

0.5 bateria in the dish at 11 am

We're given :
Patricia originally has $3425.82 in her account.

After that, she deposits $9120.75, meaning her amount in her account goes up by $9120.75

Lastly, she withdraws $185.90, meaning her amount in her account goes down by $185.90.

Therefore, after the transactions, she has a total of : 3425.82 + 9120.75 - 185.90 = $12360.67

Answer:

This is the simplest radical form of 128.

8√2 .

Step-by-step explanation:

√128=√16×√8→4×√4×√2=8√2 .

Answer:

Step-by-step explanation:

the sum of the interior angles of a triangles is 180°

so

180 - 39 - 102 =

39

(it is an isosceles triangle)

In the given triangle the value of x° = 39°.

" A triangle is defined as the two dimensional closed shape with three sides , three vertices and three angles enclosed in it."

Theorem used

In ΔABC,

∠A + ∠B + ∠C = 180°

According to the question,

In the given triangle,

∠A represents measure of 102°

∠B represents measure of 39°

∠C represents measure of x°

Substitute the value in the triangle theorem   we get,

102° + 39° + x° = 180°

⇒141° + x° = 180°

⇒ x° = 180° - 141°

⇒ x° = 39°

Hence, in the given triangle the value of x° = 39°.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ2

The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

To know more about Computing equipment visit:

brainly.com/question/33122788

#SPJ11

Answer:

\(\dfrac{7}{10}\)

Step-by-step explanation:

Given that

Number of batteries that do not have a charge = 14

Total number of batteries = 20

To find:

Experimental probability that the next battery checked does not have a charge = ?

Solution:

First of all, let us learn about the definition of experimental probability.

Probability is the chances of happening of an event.

Formula for probability of happening of an event E is given as:

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

Here we have to find the probability of checking a battery that has no charge.

So, number of favorable cases = Number of batteries that do not have a charge = 14

AND

Total Number of cases = Total number of batteries to be checked = 20

So, the required probability is:

\(\dfrac{14}{20} = \bold{\dfrac{7}{10}}\)

On solving the provided question, we can say that here in this rhombus,

angle 1 is 106 and  angle 2 and 3 are 37 each

A rhombus is an equal-sided quadrilateral in Euclidean plane geometry. The term "equilateral triangle" also refers to a quadrilateral whose sides are of the same length. A parallelogram has a unique variation known as a rhombus. In a rhombus, the opposite sides and angles are parallel and equal. A rhombus's diagonal is split in half by a right angle, and each of its sides is the same length. Rhombic diamonds and diamonds are other names for rhombuses. The length of every side is the same. Diagonals are equal in a rhombus. At a 90° angle, parallel lines split in half. 180 degrees is the sum of adjacent angles.

here in this rhombus,

angle 1 is 106

other two side are 360-106-106 = 148

148/2 = 74

so angle 2 and 3 are 37 each

To know more about Rhombus Visit:

https://brainly.com/question/27870968

#SPJ1

Answer:

  A.  60 ft·lb

Step-by-step explanation:

You want the work done lifting a 15-lb flower pot to a height of 4 ft.

Work is the product of force and distance. When the pot is raised 4 ft, the work done is ...

  W = F·d

  W = (15 lb)(4 ft) = 60 ft·lb

<95141404393>

Layer 1 and Layer 4 are approximately the same age.

The geological structure of the earth's crust can be analyzed by studying the layers of sedimentary rocks. These layers represent various geological periods in the history of the Earth and provide information on the events that have occurred throughout time.

The Khan Academy is an online platform that offers various courses and lessons on different subjects, including geology. The different layers of the earth's crust are named and classified according to their age, composition, and position in the crust. The layers of the earth's crust are as follows:

Layer 1: The surface layer or the soil. It is the layer that contains the organic matter that supports plant growth.

Layer 2: The subsoil, which is composed of partially decomposed organic matter and clay.

Layer 3: The layer of weathered rock. It is the layer that has been altered by the action of water and wind.

Layer 4: The solid bedrock that is composed of igneous, metamorphic or sedimentary rocks. This layer is considered to be the oldest layer of the earth's crust.

Layer 5: The asthenosphere, which is a semi-solid layer of the upper mantle.

Layer 6: The mantle, which is the thickest layer of the earth's crust. The two layers that are approximately the same age are layer 1 and layer 4. Layer 1, which is the surface layer or the soil, is relatively young and is formed by the accumulation of organic matter.

On the other hand, layer 4 is the solid bedrock that is composed of igneous, metamorphic or sedimentary rocks. This layer is considered to be the oldest layer of the earth's crust.

Therefore, layer 1 and layer 4 are approximately the same age.

For more questions on Layer .

https://brainly.com/question/31298922

#SPJ8

Identifying the type of graph and its key features helps in finding the equation of the graph.

The equation of a graph represents the relationship between variables (usually x and y) and can be used to determine the position of points on the graph. There are different types of graphs such as linear, quadratic, and exponential, each with their own specific equation form.

For example, a linear graph's equation is in the form y = mx + b, where m is the slope and b is the y-intercept.

Identifying the type of graph and its key features helps in finding the equation of the graph.

Learn more about equations brainly.com/question/10413253

#SPJ11

Answer: The probability statement that would yield an acceptable approximation is 1-P(X>25).

To see why, we first need to check if the conditions for using the Normal approximation to the binomial distribution are met. These conditions are:

The number of trials is large (n ≥ 10)

The probability of success for each trial is approximately the same (p is roughly constant)

The number of successes and failures are both at least 5 (np ≥ 5 and n(1-p) ≥ 5)

In this case, we have n = 150 and p = 0.1, so np = 15 and n(1-p) = 135, which satisfy the conditions.

To use the Normal approximation, we need to standardize the binomial distribution. We have:

mean = np = 15

standard deviation = sqrt(np(1-p)) = sqrt(13.5)

To find P(X>25), we can standardize X and use the Normal distribution:

Z = (25 - 15) / sqrt(13.5) = 3.06

P(X>25) = P(Z > 3.06) ≈ 0.0011

This means that the probability of more than 25 students in a class of 150 being left-handed is approximately 0.0011.

Therefore, the probability statement that yields an acceptable approximation is 1-P(X>25).

Step-by-step explanation:

The probability statement P(X<25) would yield an acceptable approximation, as it corresponds to the number of left-handed students being less than 25 out of the total of 150 students.

The chance of success raised to the power of the number of triumphs and the probability of failure raised to the power of the difference between the number of successes and the number of attempts are multiplied to create the binomial distribution.

For instance, if we flip a coin, there are only two potential results: heads or tails, and if we take a test, there are only two possible outcomes: pass or fail. A binomial chance distribution is another name for this distribution.

For more such questions on binomial distribution, visit:

brainly.com/question/14565246

#SPJ11

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

Learn more about Integrate here : brainly.com/question/31744185

#SPJ11

above is the solution to the question

Answer:

10 3/5 (10.6)

Step-by-step explanation:

 7 2/5 + 3 1/5

= (7+3) + ( 2/5 + 1/5)

= 10 + 3/5

= 10 3/5

(Which is also 10.6)

Brainlest pls. :)

Answer:

Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.

Answer:

Step-by-step explanation:

7.

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-8,\:-11\right),\:\left(x_2,\:y_2\right)=\left(17,\:4\right)\\\\m=\frac{4-\left(-11\right)}{17-\left(-8\right)}\\\\m = \frac{4+11}{17+8}= \frac{15}{25} \\\mathrm{Refine}\\\\m=\frac{3}{5}\)

8.

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(10,\:-15\right),\:\left(x_2,\:y_2\right)=\left(13,\:-17\right)\\\\m=\frac{-17-\left(-15\right)}{13-10}\\\\m = \frac{-17+15}{13-10}\\ \\m = \frac{-2}{3}\\ \\Simplify\\m=-\frac{2}{3}\)

9.

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-6,\:-7\right),\:\left(x_2,\:y_2\right)=\left(5,\:-7\right)\\\\m=\frac{-7-\left(-7\right)}{5-\left(-6\right)}\\\\m = \frac{-7+7}{5+6}\\ \\m = \frac{0}{11}\\ \\Simplify\\m=0\)

10.

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-4,\:-3\right),\:\left(x_2,\:y_2\right)=\left(2,\:-9\right)\\\\m=\frac{-9-\left(-3\right)}{2-\left(-4\right)}\\\\m = \frac{-9+3}{2+4}\\ \\m = \frac{-6}{6} \\\\Simplify\\m =-1\)

11.

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty \\\\m = \infty\)

12.

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-5,\:3\right),\:\left(x_2,\:y_2\right)=\left(19,\:-6\right)\\\\m=\frac{-6-3}{19-\left(-5\right)}\\\\m = \frac{-6-3}{19+5}\\ \\m = \frac{-9}{24}\\ \\Simplify\\m=-\frac{3}{8}\)

13.

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-7,\:-12\right),\:\left(x_2,\:y_2\right)=\left(1,\:-16\right)\\\\m=\frac{-16-\left(-12\right)}{1-\left(-7\right)}\\\\m = \frac{-16+12}{1+7} \\\\m = \frac{-4}{8} \\\\Simplify\\m=-\frac{1}{2}\)

14.

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-18,\:0\right),\:\left(x_2,\:y_2\right)=\left(-13,\:1\right)\\\\m=\frac{1-0}{-13-\left(-18\right)}\\\\m = \frac{1-0}{-13+18}\\ \\m = \frac{1}{5} \\\)

15.

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(1,\:-11\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-4\right)\\\\m=\frac{-4-\left(-11\right)}{-2-1}\\\\m = \frac{-4+11}{-2-1}\\ \\m = \frac{7}{-3} \\\\Simplify\\m=-\frac{7}{3}\)

Answer: Renata, \(416\ ft^2\)

Step-by-step explanation:

Given

The base of rectangular wood is \(b=32\ ft\)

The height of Renata frame is \(h_r=18\ ft\)

The height of the ben frame is \(h_b=5\ ft\)

The area of the rectangular frame is \(A=b\times h\)

The area of Renata frame is \(A_r=32\times 18=576\ ft^2\)

The area of the ben frame is \(A_b=32\times 5=160\ ft^2\)

Clearly, the area of Renata is more by  \(576-160=416\ ft^2\)

The other point is \(-5+6\iota\).

It is the system in which real and imaginary parts are present.

\(Mid point\ =\ -1+7\iota\\ One end point\ =\ 3+8\iota\\ \)

Real part

\(\rm x=\dfrac{ x_{1} +x_{2} }{2} \\ -1=\dfrac{3+x_{2} }{2} \\ x_{2} = -5\)

Imaginary part

\(\rm y=\dfrac{ y_{1} +y_{2} }{2} \\7=\dfrac{8+y_{2} }{2} \\y_{2} = 6\)

Hence, the other point is \(-5+6\iota\).

More about complex system links is given below.

https://brainly.com/question/10251853

ANSWER

140 minutes

EXPLANATION

To find how long will it take for them to both pass the starting point at the same time, if one person completes the track in 28 minutes and the other completes it in 35 minutes, we have to find the lowest common multiple (LCM) of these two numbers.

To find the LCM, we can use the prime factorization method. First, write the prime factors of both numbers,

Then, multiply all the prime factors as many times as they occur most often. If a factor occurs the same number of times in both numbers, then we only write it once. In this case,

Hence, it will take 140 minutes for both runners to pass the starting point at the same time.

There are 5 erasers to accompany the 20 pencils based on the given ratio.

If the ratio of pencils to erasers is 4:1, and there are 20 pencils, we can determine the number of erasers by setting up a proportion.

The proportion can be written as:

pencils/erasers = 4/1

Given that there are 20 pencils, we can substitute this value into the proportion:

20/erasers = 4/1

To solve for erasers, we can cross-multiply:

\(20*1=4*erasers\)

\(20 = 4*eraser\)

Since there is only 1 unit assigned to erasers, we multiply the unit value (5) by the number of eraser units (1) to find the total number of erasers, which is 5.

Dividing both sides by 4:

20/4 = erasers

5 = erasers

Therefore, there are 5 erasers.

To know more about ratio:

https://brainly.com/question/13419413

#SPJ4

Answer:

the answer is equal to 90%of 11.3921 which is 1.25313= 1.253

Answer:

isD  

Step-by-step explanation:

Answer:

D) {-1200 < p < 12,000}

Step-by-step explanation:

have a good day

Answer:

Function

Step-by-step explanation:

Its a function because it passes the vertical line test

Answer:the answer is 17

Step-by-step explanation:

so what is 15 - 30 = 15 then add 2 and you got your answer 17

Answer:

17

Step-by-step explanation:

32 + -15 = 17