Consider the following graph g(c). Write a formula for g(c) that describes the transformations performed on the basic function

Answer:

5/9

Step-by-step explanation:

When you divide 5 by 9, you will get 0.5 repeating. I know the answer because I had this question on Acellus.

XUY represents the union of sets X and Yas {3, 4, 7, 11}.

A set is defined as a group of objects in mathematics. Set names and symbols begin with a capital letter. According to set theory, a set's constituent parts can be included in anything.

The sets are given in the question, as follows:

X = {3, 4, 7},

Y = {4, 7, 8}

We have to determine the members of the set XUY, using set braces.

As per the question, the required solution would be as:

XUY = {3, 4, 7, 11}

XUY represents the union of sets X and Y, which contains all elements that are in set X or set Y, or in both. Since none of the elements in set X or set Y are repeated, all of the elements in set X and set Y are included in the union without duplication.

Learn more about set theory here:

brainly.com/question/23454979

#SPJ1

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

Perform the given set operation. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

(Enter your answers as a comma-separated list. Enter EMPTY for the empty set.)

X = {3, 4, 7}, Y = {4, 7, 8}

XUY = ?

9514 1404 393

Answer:

  B.  (2, -5)

Step-by-step explanation:

Reflection across the y-axis is the transformation ...

  (x, y) ⇒ (-x, y)

Rotation 180° about the origin is the transformation ...

  (x, y) ⇒ (-x, -y)

Applying the rotation after the reflection, we get ...

  (x, y) ⇒ (x, -y)

  (2, 5) ⇒ (2, -5)

_____

Additional comment

For these transformations, the order of application does not matter. Either way, the net result is a reflection across the x-axis.

Answer:

(2,-5)

Step-by-step explanation:

Answer:

She should expect 8 candies

Step-by-step explanation:

If 13 were not green that would leave 2 that were green which means that ( hoping that the same amount is in each one) if you count by 2's 3 more times you would get 8 and if there is more just continue counting by 2's

Answer:

C

Step-by-step explanation:

The slope of a horizontal line, such as that of y= 3, is equal to 0.

This can be proved using the slope formula.

\(\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }\)

Let's choose 2 points on the line y= 3:

(0, 3) and (2, 3)

Slope

\( = \frac{3 - 3}{2 - 0} \)

\( = \frac{0}{2} \)

= 0

Thus, the line has a slope of zero.

On the other hand, vertical lines have an undefined slope.

Additional:

To learn more about horizontal lines and their slopes, do check out the following!

Answer:

A t=19

Step-by-step explanation:

6t=114

t=114/6

t=19

Answer:

t=19

Step-by-step explanation:

Answer:

This is a cluster random sample

Explanation:

A cluster random sample allow us to split the sample into groups, and then select every member from some of the groups we split them into.

The given procedure results as not binomial and cannot be treated as binomial. It is not binomial because the probability of success does not remain the same in all trials. The correct answer is option B.

Binomial distribution compiles the number of trials, or observations when each trial has the same probability of attaining one particular value. Binomial distribution controls the probability of observing a specified number of successful outcomes in a specified number of trials.

In a binomial distribution, the probability of getting a success have to remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is half or 0.5 for every trial we conduct, because there are only two possible outcomes.

Learn more about binomial distribution at: https://brainly.com/question/14565246

#SPJ4

The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

Learn more about cosine function at: https://brainly.com/question/29100023

#SPJ1

Answer:             4x +10

Step-by-step explanation:

Distribute the 2 to both terms

2*2x + 2*5

4x + 10

The required statistical parameters has been computed as follows:

Range = 15.

Standard deviation, SD = 4.4441.

Variance = 19.75.

Mathematically, the range of a data set can be calculated by using this formula;

Range = Highest number - Lowest number

Range = 36 - 21

Range = 15.

Mathematically, the mean for these data sets would be calculated by using this formula:

Mean = [F(x)]/n

F(x) = 22 + 29 + 21 + 24 + 27 + 28 + 25 + 36

F(x) = 212.

Mean = 212/8

Mean = 26.5

Next, we would calculate the standard deviation by using this formula:

SD = √(1/n × ∑(xi - u₁)²)

SD = √(1/5 × ∑(22 - 26.5)² + 1/5 × ∑(29 - 26.5)² + 1/5 × ∑(21 - 26.5)² + 1/5 × ∑(24 - 26.5)² + 1/5 × ∑(27 - 26.5)² + 1/5 × ∑(28 - 26.5)² + 1/5 × ∑(25 - 26.5)² + + 1/5 × ∑(36 - 26.5)²)

Standard deviation, SD = 4.4441.

In Statistics, the standard deviation of a data sample is the square root of the variance and this is given by this mathematical expression:

Variance = δ²

Variance = 4.4441²

Variance = 19.75.

Read more on variance here: https://brainly.com/question/26355894

#SPJ1

Answer:

$150

Step-by-step explanation:

There are three pans of brownies each containing 25 brownies and 25 × 3= 75.  Each brownie sells for $2. So, 2×75=150.

The solution is $150, is made when all of the brownies are sold.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

Brownies are sold at a bake sale.

3 pans of brownies are for sale.

each pan has 5 rows with 5 brownies in each row each brownie is sold for $2.

so, we get,

There are three pans of brownies each containing 25 brownies

and 25 × 3= 75.  

Each brownie sells for $2.

we have,

So, 2×75=150.

Hence, The solution is $150, is made when all of the brownies are sold.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Answer

The number of units given that the company has an average cost of $100 per unit is 460 units

SOLUTION

Problem Statement

The question tells us a company's fixed cost is $11,500 while it costs $75 per unit for each unit they produce. We are asked to find the number of units produced by the company that would result in an average cost per unit of $100.

Method

- The fixed cost of a company is the cost of all the operations whose cost never changes.

- The production cost of $75 per unit represents the cost of producing one unit of their product.

- Thus, we can ascertain the total production cost of the company by adding the Fixed cost to the Production cost. That is:

- The average cost of a company is simply the average cost of running the company per every unit of production. Simply put, it is the ratio of the total cost and the number of units produced.

Thus, we can say that:

- It is with the above formula we shall solve the question.

Implementation

- To apply the Average cost formula, we need to first find the Total cost. Total cost is made up of Fixed cost and Production cost.

- Now that we have the expression for Total cost, we can proceed to use the formula for average cost above

Summary of Solution

To solve this question, we followed these steps:

1. We found the expression for the total cost of the company.

2. We applied the formula given below to find the number of units produced (n).

Final Answer

The number of units given that the company has an average cost of $100 per unit is 460 units

The college student can spend $35 in December to achieve his goal of a mean spending of $60 per month for the remaining five months.

To find out how much the college student can spend in December, we need to consider the total amount he has already spent in the first four months and his goal of having a mean spending of $60 per month for the remaining five months.

Let's calculate the total amount spent in the first four months:

Total spent = $65 + $55 + $70 + $75 = $265

The student's goal is to spend a mean of $60 per month for the remaining five months. Since there are five months remaining, the total amount he plans to spend is:

Total planned spending = $60 * 5 = $300

To find out how much he can spend in December, we subtract the total spent in the first four months from the total planned spending:

Amount he can spend in December = Total planned spending - Total spent

= $300 - $265

= $35

For more such information on: mean

https://brainly.com/question/1136789

#SPJ8

M + T in standard form polynomial is -15r² + 2r + 8

Polynomial in standard is when all its terms are arranged by decreasing order of degree.

Therefore,

M = - 8r²+ 11r - 6

T = -7r² - 9r + 14

M + T =  - 8r²+ 11r - 6 + (-7r² - 9r + 14)

M + T =  - 8r²+ 11r - 6 - 7r² - 9r + 14

combine like terms

M + T = - 8r² - 7r² + 11r - 9r  - 6  + 14

In standard form, the polynomial is represented as follows;

M + T = -15r² + 2r + 8

learn more on polynomial here: https://brainly.com/question/12730389

#SPJ1

Answer:

0.42

Step-by-step explanation:

To solve the problem, we need to add the probability of picking a club to the probability of picking a face card, and then subtract the probability of picking a club that is also a face card (because we would have counted it twice).

There are 13 clubs in a standard deck, so the probability of picking a club is 13/52 or 0.25.

There are 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck, so the probability of picking a face card is 12/52 or 0.23.

However, there are 3 cards that are both clubs and face cards (the jack of clubs, queen of clubs, and king of clubs), so we need to subtract the probability of picking one of those cards. There are 3 of them out of 52 total cards, so the probability of picking a club that is also a face card is 3/52 or 0.06.

Therefore, the probability of picking a club OR a face card is:

0.25 + 0.23 - 0.06 = 0.42 (rounded to two decimal places).

So the answer is 0.42.

Step-by-step explanation:

I apologise for the quality.

The exact length of PA will be 5.66 units. And the sine of angle P is 0.707 and the cosine of angle P will be 0.707.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The triangle ΔPAT is an isosceles right-angle triangle with PA = AT.

Then the length of the side PA will be

8² = PA² + AT²

64 = PA² + PA²

PA² = 32

PA = 5.66

PA = AT = 5.66

Then the sine of angle P will be

sin P = 5.66 / 8

sin P = 0.707

Then the cosine of angle P will be

cos P = 5.66 / 8

cos P = 0.707

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

Learn more about angle of depression here:

https://brainly.com/question/13514202

#SPJ1

The outcomes for the event of choosing the letter B are: B

The sample space describes all possible outcomes when randomly picking a ball from the bag. In this case, the bag contains five balls labeled A, B, C, D, and E. Therefore, the sample space is {A, B, C, D, E}, which represents all the possible outcomes.

Now, for the event of choosing the letter B, we need to identify the outcomes that correspond to selecting the ball labeled B. In this case, there is only one outcome that satisfies this event, which is the ball labeled B.

Therefore, the outcomes for the event of choosing the letter B are:

B

Learn more about sample space at https://brainly.com/question/10558496

#SPJ1

The inequality that describes the given word problem is;

x + 1.5 < 48

Let x represent how tall Keenan was last summer. Thus;

x = Keenan's height last summer in inches

If he was x inches last summer, and has since grown an additional 1.5 inches up to date, then it means that his total height now is;

x + 1.5 inches.

The conditons state "riders must be at least 48 inches tall to ride the Night Eagle roller coaster". So it means that his height must be equal to 48 inches, or larger than 48 inches, to make him eligible to ride the roller coaster.

But since he is still too short to ride, this means the expression x+1.5 is smaller than 48 and as such the inequality of this problem is;

x + 1.5 < 48

Read more about Inequality Word Problems at; https://brainly.com/question/25275758

#SPJ1

The quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

The quadratic equation that takes the form ax^2+bx+c can be determined from a given set of factors by applying the rule:

Let us expand the eqaution: 2(x-1) (2x+3)

So, we have:

2(x - 1)(2x + 3) ⇒ 4x² + 2x - 6.

= 4x² + 2x - 6 + x² - 4x + 2

Now, let us group like terms, we have:

= 4x² + x² + 2x - 4x - 6 + 2

= 5x² - 2x - 4

Therefore, we can conclude that the quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

Learn more about quadratic equations here:

https://brainly.com/question/25841119

#SPJ1

Answer:it might be A

Answer: 1) 22cm

Step-by-step explanation:

Refer to the attachment below, the length of the rectangle is separated into three parts.

First Part = 7cm

Second Part = 4 + 2 = 6cm

Third Part = 5 + 4 = 9 cm

7 + 6 + 9 = 22

Hope this helps!! :)

Please let me know if you have any questions

Answer:0.143

Step-by-step explanation:

Answer

Option D is correct.

The coin is expected to land heads up 10 times.

Explanation

This is an expected value problem.

Expected value, the number of times an eventis expected to happen, is given as

E(X) = np

where

n = number of times the experiment is performed = 20

p = probability of our event happening (probability if the coin landing on the head) = ½

E(X) = Number of the coin expected to land on the head = ?

E(X) = np = (20) (½) = 10

Hope this Helps!!!

The first equation is incorrect.

The second equation is correct.

The third equation is correct.

Let's go through each equation and determine whether it is correct or incorrect:

(b²+7b-9)+(4b-6b²) = -8b² + 14b-9

To determine if this equation is correct, we need to simplify both sides and check if they are equal.

On the left side:

(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9

On the right side:

-8b² + 14b - 9

Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.

(4a+6)-(3a²-9a+1)=-3a²+ 13a +5

Again, we need to simplify both sides of the equation and check if they are equal.

On the left side:

(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5

On the right side:

-3a² + 13a + 5

Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.

(12c-8c²)+(5c²- 10c) = -3c²+2c

Again, let's simplify both sides and compare them.

On the left side:

(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c

On the right side:

-3c² + 2c

Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.

For more such questions on equation visit:

https://brainly.com/question/17145398

#SPJ8