Consider the function f : {1,2,3,4,5} + {1,2,3,4,5} given by 2 f +=(11 361) . 3 4 5 3 5 4 a. Find f(4). b. Find a n in the domain such that f(n) = 4. = c. Find an element n of the domain such that f(n) = n. = d. Find an element of the codomain that is not in the range.

The graphs of both the functions are compared and shown in the graph.

Given are the functions as -

y = x²  and   y = ax²

The given functions are -

y = x²  and   y = ax²

Refer to the graph attached. It shows the plot of both the functions plotted. The graph of y = ax² is either much wider or narrower than the graph of y = x² depending upon the value of [a]. For [a] < 0, the graph open downwards and for [a] > 1, the graph open upwards.

Therefore, the graphs of both the functions are compared and shown in the graph.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ1

The correct statement about the data set is the mean would be the best measure of central tendency for Mr Cochran's class because the data is symetrical.

A measure of central tendency attempts to describe a data set by determining the central value of the data set. Measures of central tendency are mean, median and mode.

Mean is the average of a data set. Median is the number at the center of the data set. Mode is the number that occurs most in the data set.  A data set is negatively skewed if the mean is less than the mode. If the mean is equal to the mode, the data is symmetric.

Mean of Mrs culpepper’s class = (1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3) / 10 = 1.9

Mode of Mrs culpepper’s class = 1

Mean of mr Cochran's class  = (1+ 1 + 2 + 3 + 3 + 3 + 3 + 4 + 9 + 9) / 10 = 3.8

Mode of mr Cochran s class = 3

To learn more about median, please check: https://brainly.com/question/20434777

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

Learn more about triangle on

https://brainly.com/question/17335144

#SPJ1

The value of the variable x in first figure will be 15.

The value of the variable x in second figure will be 20.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

There are two figure is shown in figure.

Now,

In first figure;

The sum of all the interior angle in a triangle is 180°.

So, We can formulate;

⇒ (6x - 10)° + (2x + 20)° + (3x + 5)° = 180°

Solve for x as;

⇒ (6x - 10)° + (2x + 20)° + (3x + 5)° = 180°

⇒ 6x - 10 + 2x + 20 + 3x + 5 = 180°

⇒ 11x + 15 = 180

⇒ 11x = 180 - 15

⇒ 11x = 165

⇒ x = 15

Thus, The value of the variable x in first figure will be 15.

For second figure;

We can formulate by the corresponding angle of the parallel lines as;

⇒ x + 50 = 70

⇒ x = 70 - 50

⇒ x = 20

Thus, The value of the variable x in second figure will be 20.

Therefore,

The value of the variable x in first figure will be 15.

The value of the variable x in second figure will be 20.

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ1

Answer:

- 6

Step-by-step explanation:

Step 1:

- ( 5z + 12 ) = 18     Equation

Step 2:

- 5z - 12 = 18      Open Parenthises

Step 3:

- 5z = 30     Add 12 on both sides

Step 4:

z = 30 ÷ - 5     Divide

Answer:

z = - 6

Hope This Helps :)

Answer: z = -6

Step-by-step explanation:

Hi there! I will be showing you how to solve the given equation. If you have any questions feel free to comment it down below.

Step 1: Remove parentheses.

-5z - 12 = 18

Step 2: Add 12 to both sides.

-5z = 18 + 12

Step 3: Simplify 18 + 12 to 30.

-5z = 30

Step 4: Divide both sides by -5.

z = \(-\frac{30}{5}\)

Step 5: Simplify \(\frac{30}{5}\) to 6.

z = -6

I hope I helped you :)

Answer:

48x

Step-by-step explanation:

\((\sqrt[4]{48x} )^{4}\) = \(\sqrt[4]{(48x)^{4} }\) = 48x

Answer:

I believe it's B correct me if I'm wrong

Answer:

C.    51.75 km2, 68.75 km2

Step-by-step explanation:

Answer- 9 shelves

In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.

HOPE THIS HELPS & GOOD LUCK!

Answer:

C: √768

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer: 24 goals.

Step-by-step explanation: Since Jaime scored 4 times as many goas as Jake, that means he scored a total of 8 goals (2 (Jake) x 4 = 8). And since Edgar scored 3 times as many goals as Jaime, he scored a total of 24 goals because 8 x 3 = 24.

Answer:

24

Step-by-step explanation:you multiply the two by four since Jaime scored four times more than Jake. Which means Jaime scored 8. You then multiply 8 by 3 because Edgar’s score was three times greater than Jaimie’s. Which equals 24. Hope this help!

Answer:

For 1 figure, 2 pints are used

Step-by-step explanation:

9 figures = 18 pints

1 figure = 18/9

1 figure = 2 pints

Hope this helps!

By answering the presented question, we may conclude that Hence, the probability answer is that they are dependant since P(M) P(H) does not hold.

Probability theory is an area of mathematics that determines the likelihood that an event will occur or that a proposition is true. A probability is a number between 0 and 1, where 1 represents certainty and 0 represents how likely an event is to occur. A probability is a numerical expression for the chance or likelihood that a given event will occur. Probabilities may either be stated as percentages ranging from 0% to 100% or as numbers ranging from 0 to 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all conceivable outcomes.

To see if the two occurrences are independent, we may look at whether the likelihood of one event is changed by the occurrence of the other.

Let M represent a passing mathematics class and H represent a passing history class. The probability may therefore be stated as follows:

P(M) = 0.85 P(H) = 0.70 P(M H) = 0.50 (where signifies the "and" or intersection operation)

We may use the following formula to test for independence:

If M and H are independent, then P(M H) = P(M) P(H).

When we substitute the provided probabilities, we get:

0.50 = 0.85 × 0.70

0.50 ≠ 0.595

As a result, the equation is invalid, and the events are interdependent.

Hence, the answer is that they are dependant since P(M) P(H) does not hold.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

A regular octagon is formed by cutting an isosceles right triangle from each of the corners of a square. To find the length of the side of the octagon, we can use the Pythagorean theorem to calculate the length of the hypotenuse of the isosceles right triangle.

In an isosceles right triangle, the two legs have the same length and the hypotenuse is the side opposite the right angle. Since the square has sides of length 2000, half of the side of the square is the leg of the isosceles right triangle.

So the leg of the isosceles right triangle is 2000/2 = 1000.

Applying the Pythagorean theorem to find the hypotenuse of the isosceles right triangle:

c^2 = a^2 + b^2

c = sqrt(a^2 + b^2)

c = sqrt(1000^2 + 1000^2)

c = sqrt(1000000)

c = 1000*sqrt(2)

So the length of each side of the octagon is 1000sqrt(2)

Answer:

43 units

Step-by-step explanation:

(-7, 25)

-(-7, -18)

7-7=0

25-(-18)

two minuses next to each other cancel or as my teacher taught, cha-ching

Which means turning both minus signs into plus(25+(+18)). so, 25+18=

43.

Therefore, (-7, -18) is 43 units away from (-7, 25)

Answer:

50°

Step-by-step explanation:

Angles in a triangle always add up to 180°.

The square (bottom left of triangle) is a right angle and right angles always equal 90° and the other one is 40°, so you would add them up. This equals 130°.

To find y, you would have to do 180° minus 130° which is 50°.

Hope this helps :)

Answer:

its yes

I'm fighting ransome cuz I need at least 20 characters

Answer:

D

Step-by-step explanation:

Answer:

The conditions for calculating a confident surgery were clearly not past.

Step-by-step explanation:

When you are testing a vaccine of a surgery, there needs to be a over 60% success rate at which the vaccine of the surgery is affective, otherwise, it is decided that that medical procedure of medicine isn't safe. There have been some exceptions in the past when a vaccine for example was used with a 40% success rate, only because the public required this vaccine in there time.

The event of Juan choosing at least one blue marker from the bag when randomly selecting 6 markers is certain.

In this scenario, Juan has a total of 7 markers in his bag, with 3 blue markers and 4 red markers. When he randomly chooses 6 markers from the bag, it is certain that he will select at least one blue marker. This is because there are more blue markers (3) than the number of markers he is selecting (6).

To understand why this event is certain, consider the worst-case scenario where Juan selects all 4 red markers first. Even in this case, there will still be 2 markers left in the bag, both of which are blue. Therefore, Juan is guaranteed to choose at least one blue marker when selecting 6 markers from the bag.

Since there are more blue markers available than the number of markers Juan is choosing, it is certain that he will select at least one blue marker. This makes the event of choosing at least one blue marker from the bag when randomly selecting 6 markers a certain event.

Learn more about certain event here:

https://brainly.com/question/32025802

#SPJ11

Answer:

23.3%

Step-by-step explanation:

Formula: I=PRT (Interest=Principal*Rate*Time)

I=23400-4500=18900

18900=4500*R*18

18900=81000R

R=18900/81000=0.233... Rounds to 23.3%

The perimeter of PQR is 5/3 times the perimeter of KLM, given that the triangles KLM ~ PQR with a scale factor of 3:5.

Given KLM ~ PQR with a scale-factor of 3:5,

Let's assume that the perimeter of KLM is P₁.

Then, the perimeter of PQR will be P₂.

We know that the ratio of the scale factor is 3:5.

That is, the corresponding sides of KLM and PQR will be in a ratio of 3:5.

To find the perimeter of PQR, we can multiply each side by the scale factor, that is, 5/3.

This will make the length of corresponding sides equal.

Therefore; we get:

Congruency of KLM ~ PQR (Given)

The ratio of the scale factor = 3:5

If the perimeter of KLM is P₁, then the perimeter of PQR is P₂.

Perimeter of PQR = Perimeter of KLM × Corresponding sides ratio

= P₁ × 5/3

The perimeter of PQR = P₁× 5/3

Therefore, the perimeter of PQR is 5/3 times the perimeter of KLM.

PQR perimeter = P₁× 5/3

To know more about perimeter, visits :

https://brainly.com/question/7486523

#SPJ11

y-axis 6 5 4 3 2 1 x=ax S 4 -3 2  -1 1 2 3 4 5 6 -1 -2.    

To learn more about Theoretical Approach refer to:

https://brainly.com/question/2664420

#SPJ1

A transformation modifies the parent function's graph.

The graph of a parent function is changed by a transformation. Transformations come in three different flavors: translations, reflections, and dilations.

A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image.

Making pictures or replicas of an object is part of transformation geometry. You are introduced to transformation geometry in grade 9 through the use of translation, reflection, dilation, and rotation.

The foundation of the problem transformation approach is the notion that, if we are unable to address the given problem directly, we will move it to a setting where we can do so. The method's fundamental component is how the problem is broken down into smaller tasks.

To learn more about transformation refer to:

https://brainly.com/question/28025572

#SPJ1

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.

Answer:

15 feet.

Step-by-step explanation:

180/12=15

Answer: 15.

Step-by-step explanation:

First, find how many inches are in a foot. You’ll get 12.

180 divided by 12 equals 15.

Answer:

x = 1

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

12(m-5)=540

Step-by-step explanation:

m=50 minutes for jogging

The equation of the vectors are

35. y = (-1/2)x + 2

36. y = (1/2)x + 5/2

37. y = 2x + 3

38. y = (2/3)x - 52/3

Exercise 35:

P(2, 1)

v = i + 2j

To find the equation of the line passing through P and perpendicular to v, we need to determine the slope of the line. The slope of a line perpendicular to a vector is the negative reciprocal of the slope of the vector.

The vector v = i + 2j has a slope of 2/1 = 2. The negative reciprocal of 2 is -1/2. Therefore, the slope of the line perpendicular to v is -1/2.

Using the point-slope form of a line, we can write the equation of the line passing through P as follows:

y - y₁ = m(x - x₁)

Substituting the values of P(2, 1) and the slope (-1/2), we get:

y - 1 = (-1/2)(x - 2)

Simplifying the equation, we have:

y - 1 = (-1/2)x + 1

y = (-1/2)x + 2

Exercise 36:

P(-1, 2)

v = -2i - j

The slope of the vector v = -2/1 = -2. The negative reciprocal of -2 is 1/2.

Using the point-slope form, we can write the equation of the line passing through P(-1, 2) as:

y - 2 = (1/2)(x + 1)

Simplifying the equation, we have:

y - 2 = (1/2)x + 1/2

y = (1/2)x + 5/2

Exercise 37:

P(-2, -7)

v = -2i + j

The slope of the vector v = 1/(-2) = -1/2. The negative reciprocal of -1/2 is 2.

Using the point-slope form, the equation of the line passing through P(-2, -7) is:

y - (-7) = 2(x - (-2))

Simplifying the equation, we have:

y + 7 = 2(x + 2)

y = 2x + 3

Exercise 38:

P(11, 10)

v = 2i - 3j

The slope of the vector v = -3/2. The negative reciprocal of -3/2 is 2/3.

Using the point-slope form, the equation of the line passing through P(11, 10) is:

y - 10 = (2/3)(x - 11)

Simplifying the equation, we have:

y - 10 = (2/3)x - 22/3

y = (2/3)x - 52/3

To know more about vector here

https://brainly.com/question/29740341

#SPJ4

Complete Question:

In Exercises 35–38, find an equation for the line through P perpendicular to v. Then sketch the line. Include v in your sketch as a vector starting at the origin.

35. P(2, 1), v = i + 2j

36. P(-1, 2), v =-2i - j

37. P(-2, -7), v =-2i + j

38. P(11, 10), v = 2i - 3j.