Determine by checking the group axiom (Associativity) whether this set is a group:

(C, o), where x o y = x + y - 2i

C = set of all imaginary numbers

The expressions (5 + 9 - 2³) and (4² - 6) are not equal (≠) to each other. Then the correct option is B.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numerical expressions are given below.

(5 + 9 - 2³) and (4² - 6)

Simplify the expression, then we have

(5 + 9 - 2³) = 5 + 9 - 8 = 6

(4² - 6) = 16 - 6 = 10

The expressions (5 + 9 - 2³) and (4² - 6) are not equal (≠) to each other. Then the correct option is B.

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Answer:

49 Dollars

Step-by-step explanation:

If you subtract 70- 30%, you get 49 dollars

Hope this helps =)

The standard deviation of the sampling distribution is approximately 0.3292.

The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.

Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.

The standard deviation is given by the formula:

SD = σ/√(n)

Now, substituting the value of σ = 40, n = 147,400 we have:

SD = σ/√(n) = 40/√(147400) ≈ 0.3292

Hence, the standard deviation of the sampling distribution is approximately 0.3292.

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Answer: (√2)(2) = 2√2

Step-by-step explanation:

To simplify the expression 3√2 - √2, you can factor out the common term √2:

3√2 - √2 = (√2)(3 - 1)

Now, subtract the numbers in parentheses:

(3 - 1) = 2

(√2)(2) = 2√2

Step-by-step explanation:

13? i forgot all this math XD

Answer:

Step-by-step explanation:

eq of line perpendicular to 3x+5y=10 is

5x-3y=a

where a is constant.

it passes through (3,2)

5(3)-3(2)=a

a=15-6=9

reqd. eq. is 5x-3y=9

or

3y=5x-9

y=5/3 x-3

gradient=5/3

y-intercept=-3

or

5y=-3x-10

y=-3/5 x-2

slope=-3/5

slope of reqd. line=-1/(-3/5)=5/3

eq. of line through (3,2) is

y-2=5/3(x-3)

3y-6=5x-15

3y=5x-15+6

3y=5x-9

y=5/3 x-3

Answer:

3-270x

Step-by-step explanation:

Answer:

Hi there!

Step-by-step explanation:

Its 1.3

Answer:

Let `f` be a function defined on [0,2]. Then find the domain of function `g(x)=f(9x^2-1)

Step-by-step explanation:

I'm not sure if that's right

The relationship between all pairs of special angles 1, 2, 3, and 4 created by transversal line b and parallel lines d and e include:

These are usually formed when two straight lines meet at a common endpoint or vertex.

Angles 3 and 4 are equal due to them being alternative interior angles and other relationships are mentioned above.

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The statement "5 subtract from 9" as an expression is 9 - 5

From the question, we have the following parameters that can be used in our computation:

A mathematical statement

The mathematical statement is given as

5 subtract from 9

Subtraction means minus

So, we have the following representation

5 subtract from 9 = 9 - 5

The question does not require that we solve the expression

So, we leave it at 9 - 5

Hence, the required expression is 9- 5

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Answer:

Negative Acceleration

Step-by-step explanation:

If we assume the positive direction is the direction of the bike, then any sort of change in speed that results in a reduced speed will be caused by negative acceleration.

Answer:

it mostly undergoes deaccelration because it comes to rest with. help of friction

Given pair of systems :

2x +y=8

and

y=2

To find the solution through graphing method

we plots the equation on the graph and the points at which the lines are intersect each other are called the solution of the system

Since the coordinates for 2x+y=8

at x =1,

2(1)+y=8

y=6

at x=2

2(2)+y=8

4+y=8

y=4

Thus the coordinates of 2x+y=8 is (1,6) & (2,4)

Plot them in th geraph for 2x+y=8

now for y=2

is the line parralle to x axis

So, the graph will be :

Since from the graph the line is cut at x=3 and y = 2

Answer : (3, 2)

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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Answer: 23.76 sq yds

Step-by-step explanation:

0.5*9.9*4.7=23.76

Area of triangle: 0.5*b*h

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Answer:

Step-by-step explanation:

To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:

Step 1: Simplify the expression on the left side:

\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)

Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:

\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)

Step 3: Simplify the expression within the logarithm:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)

Step 4: Simplify the denominator by multiplying by the reciprocal:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

Step 5: Simplify the numerator:

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)

\(\ln\left(2 + \sqrt{2}\right)\)

Now, let's simplify the right side of the equation:

Step 1: Simplify the expression on the right side:

\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)

Step 2: Simplify the expression within the logarithm:

\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)

Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

Step 4: Simplify the expression:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)

\(-\ln\left(2 + \sqrt{2}\right)\)

As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).

The average value of the two year old car after deductions is 30525, which is considered to be higher than average.

What is Mileage deduction?

Mileage deductions are used to account for the wear and tear on a vehicle, which increases with the miles driven.

The calculation to get the average value is as follows:

Original value: 31175

Average value: 30850

Aluminum wheels: 300

Recovery system: 75

Mileage deduction: 700

Average value after deductions:

(30850 + 300 + 75 - 700) = 30525

The reason why the mileage deduction is 700 is because the advertised mileage of 47005 falls within the range of 46000 - 51000 miles, which is considered to be higher than average.

A higher mileage vehicle will typically have lower value than one with fewer miles, so the 700 deduction is used to account for the difference between this car and an average one with similar age and features.

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Step-by-step explanation:

in step 2 leon made mistake

OPTION B step 2

\( \frac{1}{2} w = 30\)

\(w = 30 \times 2\)

\(w = 60\)

Answer: (-2, 4)

Step-by-step explanation:

The reference angles of -320 is 40 degrees and the reference angle of 19π/12 is 5π/12

From the question, we have the following parameters that can be used in our computation:

Angle = -320

The reference angle is caculated as

Reference = 360 + Angle

So, we have

Reference = 360 - 320

Evaluate

Reference = 40

For the other angle, we have

θ = 19π/12

The above angle is in the fourth quadrant

So, we subtract it from 2π to calculate the reference angle

Using the above as a guide, we have the following:

Reference angle = 2π - 19π/12

Evaluate the difference

Reference angle = 5π/12

Hence, the reference angle is 5π/12

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Answer:

It's letter b

Step-by-step explanation:

I hope this help

The quotient is 33x-8 and the remainder is 44.

What is quotient?

In arithmetic, a quotient is described as a quantity produced by the division of two numbers.

The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

The result of dividing 23-2-11x-8 by x+1 using synthetic division is:

23 | -2  -11x -8

x+1 | 23  21  11x

          44  33x-8

I conclusion, synthetic division is also an arithmetic method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division.

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Marvin Co. sells a total of 12 flashlights and 84 pens

Price of pen sold by Marvin Co. = $6

Price of flashlight sold by Marvin Co. = $10

Total sales = $624

Let the number of flashlights be x and the number of pens be y

Formulating the equations:

10x + 6y = 624

It is given that customer bought 7 times as many pens as flashlights, therefore:

y = 7x

Putting y = 7x in the equation we get,

10x + 6(7x) = 624

10x + 42x = 624

52x = 624

x = 12

So, the number of flashlights sold is 12 and the number of pens sold is 84

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The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.

To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:

x | y

-------

O | 1

X | 4

2 | 3

3 | 2

3 | 5

4 |

5 |

From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.

This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).

Therefore, the given table does not represent a function.

The correct answer is D. No, because one x-value corresponds to two different y-values.

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Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.

Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.

The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.

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The slope of the given line in  the image is -4 , Option A is the answer.

The equation of the straight line is given by

y =mx +c ,

Where m is the slope , C is the intercept

The line is passing through the point

(-1,8)  ,(2,-4)

The slope is given by

m = (y₂-y₁) /(x₂-x₁)

m  = (-4 - 8 )/(2 +1)

m = -12/3

m = -4

Therefore the slope of the given line in  the image is -4 , Option A is the answer.

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