1
f(x) =1/10x-4 g(x)=1/x+2

This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and  {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).

The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:

Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:

(a) {σ ∈ S4 : σ(1) = 3}

This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.

(b) {σ ∈ S4 : σ(2) = 2}

This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.

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The expression that represents the perimeter of the triangle in centimeters is 11f + g + 11.

Perimeter is a term used in geometry to refer to the total length of the boundary of a two-dimensional shape, such as a polygon. It is the sum of the lengths of all the sides of the shape.

The perimeter of a triangle is the sum of the lengths of its sides. Therefore, the expression that represents the perimeter of the triangle with side lengths (4f+2) cm, (7f+7) cm, and (g+2) cm is:

Perimeter = (4f + 2) + (7f + 7) + (g + 2)

Simplifying the expression by combining like terms, we get:

Perimeter = 11f + g + 11

Therefore, the expression that represents the perimeter of the triangle in centimeters is 11f + g + 11.

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Answer:

5 pencils will cost €0.7

Step-by-step explanation:

     We can set up a proportion to solve. We will have the cost on the top and the number of pencils on the bottom. I will have 50 pencils on the left, and 5 pencils on the right.

\(\frac{7}{50}=\frac{x}{5}\)

     Now we will cross multiply.

7 * 5 = 50 * x

35 = 50x

     Divide both sides of the equation by 50.

0.7 = x

x = 0.7

     5 pencils will cost €0.7

Answer:

Step-by-step explanation:

Q5) 4/9 is 0.4 recurring not just “0.4”

Q6) 6 and 7

Q7) 5.385

In analyzing the relationship between two variables, a scatter plot cannot be used to detect A casual relationship.

Scatterplots:

Scatterplots can be used when one continuous variable is under the control of the experimenter and the other is dependent on it, or when both continuous variables are independent. When one parameter is systematically increased and/or decreased by the other, it is called the control parameter or independent variable and is usually plotted along the horizontal axis. Measured or dependent variables are usually plotted along the vertical axis. In the absence of a dependent variable, any type of variable can be plotted on any axis and the scatter plot he only shows the degree of correlation (not causality) between the two variables. Scatterplots can suggest different types of correlations between variables with specific confidence intervals.

For example, weight and height are displayed on the y-axis and height on the x-axis. Correlation can be positive (increase), negative (decrease), or zero (no correlation). If the dot pattern slopes downwards from the lower left to the upper right, this indicates a positive correlation between the investigated variables. If the dot pattern slopes from top left to bottom right, it indicates a negative correlation. We can draw a line of best fit (also called a "trend line") to explore the relationship between variables. The formula for correlation between variables can be determined by established best-fit methods. For linear correlation, the optimal procedure is called linear regression, which guarantees a correct solution in finite time. There is no one-size-fits-all procedure that guarantees the correct resolution in any relationship. Scatterplots are also very useful for seeing how two comparable data sets match up to show non-linear relationships between variables. The ability to do this can be improved by adding smooth lines like losses.

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Answer:

y = (2 + √2)/4   ;   y = (2 - √2)/4

Step-by-step explanation:

-8y² + 8y - 1 = 0

8y² - 8y + 1 = 0

discriminant = 64 - 4(8) = 64 - 32 = 32 = 2^4 * 2

y = (8 + \(\sqrt{2^4 * 2}\))/16

(8 + 2²√2)/16

(8 + 4 √2) / 16

4(2+√2)/16

(2+√2)/4

y = (8 - \(\sqrt{2^4 * 2}\))/16

(8 - 4√2) / 16

4(2-√2)/16

(2-√2)/4

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Geneva to Sparks

2.5 in

Sparks to Melville

4 inches

Scale

1 in = 15 miles

Distance = ?

Step 02:

Distance :

Scale:

1 in = 15 miles

Geneva to Sparks

2.5 in * ( 15 miles / 1 in) = 37.5 miles

Sparks to Melville

4 inches * (15 miles / 1 in) = 60 miles

Total distance = 37.5 miles + 60 miles = 97.5 miles

That is the full solution.

The  best measure of center for the data shown is the median, and its value is 17.

The median is the best measure of center for the given data set. To find the median, we arrange the numbers in ascending order:

10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24

Since the data set has an odd number of values, the median is the middle value, which in this case is 17.

Therefore, the best measure of center for the data shown is the median, and its value is 17.

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Step-by-step explanation:

ndnndndndjdjdjdfjfjfgnn

Answer: a; b

Step-by-step explanation: Both answers are possibilities because 0a = 0 and 0b = 0. Hope this helps!

Answer:

13/(1 3/7)*1 = $9.10

Step-by-step explanation:

Simplify the following:

13/(1 + 3/7)

Hint: | Put the fractions in 1 + 3/7 over a common denominator.

Put 1 + 3/7 over the common denominator 7. 1 + 3/7 = 7/7 + 3/7:

13/(7/7 + 3/7)

Hint: | Add the fractions over a common denominator to a single fraction.

7/7 + 3/7 = (7 + 3)/7:

13/((7 + 3)/7)

Hint: | Evaluate 7 + 3.

7 + 3 = 10:

13/(10/7)

Hint: | Write 13/(10/7) as a single fraction.

Multiply the numerator of 13/(10/7) by the reciprocal of the denominator. 13/(10/7) = (13×7)/10:

(13×7)/10

Hint: | Multiply 13 and 7 together.

13×7 = 91:

Answer:  91/10 or 9.10 decimal

The answer: m∠AFB = 78°

Ok done. Thank to me :>

Answer:

y= -1/4x - 1/4

Step-by-step explanation:

y - y1 = m(x - x1)

y - 1 = -1/4 (x -(-5/4))

y - 1 = -1/4x - 5/4

y = -1/4x - 1/4

Answer:

it is too blury to read

Step-by-step explanation:

Answer:

its B. 5

Step-by-step explanation:

I did it on edge.

Answer:

Its the second option/b The answer is 5

Step-by-step explanation:

Notice that, since 5000 tickets are reserved for students, there are 13000 available tickets that can be acquired by students or the general public.

Since the cost of a general public ticket is greater than that of a student ticket, we can increase the revenue to its maximum by selling the remaining 13000 tickets to the general public only.

Therefore, the answer is 13,000

In this problem the answer is the option A

because

the second climb is faster than the first (so the slope is greater) and the second down is slower than the first down ( the slope is less than the first down)

The fixed cost per ball went to $4.5 when the company produce 22,500.

fixed cost per ball is three dollars when the company produces 15,000

fixed cost per ball went x to produce 22,500

So,

3 : 15000 = x : 22,500

3/15,000 = x/22,0/500

cross product

3 × 22,500 = 15,000 × x

67,500 = 15,000x

divide both sides by 15,000

x = 67,500 /15,000

x = 4.5

Therefore, the fixed cost per ball to produce 22,500 is $4.5

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Answer: 1,055 or 1,059

Step-by-step explanation: (5)(212)                                                                       1060                                                                                                                          If I were to estimate (5)(212) without solving the answer would be in the 1,050+ range. But if I solve it without estimating the answer is 1,060.

Step-by-step explanation:

Gabriel age is 54 and Mikahils age is 27

I found the answer by using the trial and error method

Answer:

40%

Step-by-step explanation:

Take the amount over the total

32/80

.4

Change to percent form by multiplying by 100

40 %

The mathematical function that models Autumn's situation of saving $500 that she keeps at home and does not add to the savings is G(x) = 500 + 0x.

A mathematical function is an equation, expression, rule, or law defining the relationship between the independent variable and the dependent variable.

There are many types of mathematical function, including:

The amount that Autumn saved = $500

The amount that Autumn adds to the savings = $0

Let the number of periods that Autumn saves the above amount = x

G(x) = 500 + 0x

Thus, based on the linear function above, the amount that Autumn saved would remain $500 after many periods.

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Answer:

yo I'm doing the same thing

Answer:

Charles is incorrect

Step-by-step explanation:

Lupe bought 8 pounds of pretzels for $18, meaning that she bought them at a unit rate of $2.25 per pound. Charles bough 6 pounds of pretzels for $15, meaning he bought them at a unit rate of $2.50 per pound. Even though Charles paid less, he didn't get the better deal because he paid more per pound than Lupe did.

Answer:

0.009%

Step-by-step explanation:

64/7000*100=0.009142857%

The proportion of population in UK to the world population is 64 : 7000 or

0.9 %

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the value of population in UK be = 64 milliom

Let the value of world population be = 7 billion

Now ,

The value of 1 billion = 1000 million

So , the value of 7 billion = 7 x 1000 million

The value of 7 billion = 7000 million

Now , the value of world population is = 7000 million

So , the proportion of population of UK to the world population is given by = value of population in UK : value of world population

And , the equation will be

The proportion of population of UK to the world population is = 64 : 7000

The proportion of population of UK to the world population is = 0.00914

The proportion of population of UK to the world population is = 0.9 %

Hence , The proportion of population in UK to the world population is

64 : 7000 or 0.9 %

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Answer:

Answer is solved in the explanation below.

Step-by-step explanation:

Solution:

We have to repeat the process until the estimate is  the same as the quotient and remainder = 0. Which can be done only in the case of value = 27 (remainder = 0)

729/27 = 27 (remainder 0)

Let's I am starting this process from 19

So,

729 divided by 19 =  38.3684

Ignoring the remainders

729 divided by 19 = 38

Now, average of 19 and 38 = (19+38)/2 = 28

729 divided by 28 = 26.03

ignoring the remainders = 26

Now, average of 28 and 26 = (28+26)/2= 54/2 = 27

So,

729 divided by 27 = 27

Hence,

estimate is the same as quotient ( and remainder = 0)

Answer:

20

Step-by-step explanation:

To find the derivative of f(x) = 3x² + 2x at x = 3, we can use the power rule:

f'(x) = 2*3x + 2

When x = 3, the derivative of f(x) is:

f'(3) = 2*3(3) + 2

f'(3) = 18 + 2

f'(3) = 20

Therefore, the derivative of f(x) = 3x² + 2x at x = 3 is f'(3) = 20.