For each of the following sets, determine whether 2 is an element of that set.(a){x∈R|x is an integer greater than 1}(b){x∈R|x is the square of an integer}(c){2 ,{2}} (d){{2},{{2}}}(e){{2},{2 ,{2}}} (f){{{2}}}

Answer:

x = 37

m∠a = 104°

m∠b = 76

Step-by-step explanation:

Two supplementary angles will add up to 180 degrees. We can create an equation and solve for x.

3x - 7 + 2x + 2 = 180

~Combine like terms

5x - 5 = 180

~Add 5 to both sides

5x = 185

~Divide 5 to both sides

x = 37

~Find the measure of angle A

3(37) - 7

104

~Find the measure of angle B

2(37) + 2

76

Best of Luck!

Answer:

table A

Step-by-step explanation:

given a function with coordinates (x, y ) on it

then the corresponding coordinates of the inverse function are (y, x )

that is

g(x) → inverse k(x) are

(- 8,  2 ) → (2, - 8 )

(- 4, 3 ) → (3, - 4 )

(0, 4 ) → (4, 0 )

(4, 5 ) → (5, 4 )

(8, 6 ) → (6, 8 )

the inverse values are shown in table A

Answer:

142 degrees

Step-by-step explanation:

d-c is 90 degree angle so you add that to the 52 degree

Answer:

3 people/1 cup

50/3 = 16.68 cups of dry rice

Answer:

48 ounces

Step-by-step explanation:

16 x 3 is 48,so there is your answer.Hope it helps!

Step-by-step explanation:

Given function:

The transformation of f(x) is g(x):

The graph of g(x) is attached below

The equation holds true for k+1 as well.

By the principle of mathematical induction, we have proven that Σ₁ (i² - 1) = n(2n² + 3n - 5) for all n ≥ 1.

To prove the statement using induction, we will first verify the base case when n = 1, and then assume that the statement holds for some arbitrary positive integer k and prove it for k+1.

Base case (n = 1):

When n = 1, the left-hand side of the equation becomes Σ₁ (i² - 1) = (1² - 1) = 0.

On the right-hand side, we have (1)(2(1)² + 3(1) - 5) = 0.

Therefore, the equation holds true for n = 1.

Inductive step (Assume true for k and prove for k+1):

Assume that the equation holds true for some positive integer k, i.e., Σ₁ (i² - 1) = k(2k² + 3k - 5).

We need to prove that the equation also holds true for k+1, i.e., Σ₁ (i² - 1) = (k+1)(2(k+1)² + 3(k+1) - 5).

Expanding the right-hand side, we have:

(k+1)(2(k+1)² + 3(k+1) - 5) = (k+1)(2k² + 7k + 4).

Now, let's consider the left-hand side:

Σ₁ (i² - 1) + (k+1)² - 1.

Using the assumption that the equation holds true for k, we can substitute the expression for Σ₁ (i² - 1) with k(2k² + 3k - 5):

k(2k² + 3k - 5) + (k+1)² - 1.

Expanding and simplifying this expression, we obtain:

2k³ + 3k² - 5k + k² + 2k + 1 - 1.

Combining like terms, we have:

2k³ + 4k² - 3k + 1.

We can see that this expression matches the expanded right-hand side:

(k+1)(2k² + 7k + 4) = 2k³ + 4k² - 3k + 1.

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Answer:

73+78+85+84+37+115 because you will add all point scored by the last 6games =471

The height of the cone is the same as the radius of the circular sheet of paper, which is 2 cm. The slant height of the cone is the hypotenuse of a right triangle with legs equal to the radius and the circumference of the sector.

The circumference of the sector is 2 * pi * 2 cm = 4 pi cm.

The slant height of the cone is therefore sqrt(2^2 + 4 pi^2) = sqrt(4 + 16 pi^2) = 2 * sqrt(1 + 4 pi^2) in simplest radical form.

Therefore, the height of the cone is 2 cm and the slant height of the cone is 2 * sqrt(1 + 4 pi^2) cm.

The radius of the cone is the same as the radius of the circle, which is 2 cm. The slant height of the cone is the hypotenuse of a right triangle with legs equal to the radius and the circumference of the sector.

The circumference of the sector is 2 * pi * 2 cm = 4 pi cm.

Answer: the slope is 2/1 or 2

Step-by-step explanation: slope is written rise over run, meaning y/x. By finding the difference between 13/5 and 17/7, then 17/7 and 21/9 to confirm, you can see that the difference is 4/2, which reduces to 2/1, which is simplified to 2.

Answer:

B: A reflection across line m

Step-by-step explanation:

Answer:

A reflection across line m

Step-by-step explanation:

The answer above is correct.

The solution to the given homogenous differential equation dy/dx = y² + x² / x^2 is y² = -x(y³ / 3 + Cy³ - 3Cx)

The given differential equation is: dy/dx = y² + x² / x^2

To solve this, we can first separate the variables by bringing all the y-terms on one side and all the x-terms on the other side:

(1/y²)dy = (x² / x² + y²)dx

Next, we can integrate both sides:

∫(1/y²)dy = ∫(x²/x² + y²)dx

Using the substitution u = y/x, we can simplify the integrals:

∫(1/y²)dy = ∫(1 + u²)dx

-1/y = x + (1/3)u³ + C

where C is the constant of integration.

Substituting back u = y/x, we get:

-1/y = x + (1/3)(y/x)³ + C

Multiplying both sides by -y³, we get:

y² = -x(y³ / 3 + Cy³ - 3Cx)

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The given expression is 4(8x + 5). This is a product of a coefficient and a binomial expression. In mathematics, a binomial is a polynomial with two terms.

They are represented as ax + b or a + bx or (a + b) etc. Given expression is 4(8x + 5). We can simplify this by applying the distributive property. It is given as follows; The distributive property of multiplication states that a(b + c) = ab + ac To simplify the given expression, we need to multiply the coefficient 4 with each term in the parentheses.

It can be done as follows; 4(8x + 5) = 4*8x + 4*5 We multiply 4 with 8x and 4 with 5 to obtain; 32x + 20 This is the main answer. Therefore, the simplified form of 4(8x + 5) is 32x + 20. To simplify the given expression 4(8x + 5), we can use the distributive property. According to this property, the product of a number with the sum of two or more terms is equal to the sum of the products of that number with each term of the sum. In other words, a(b + c + …) = ab + ac + … In the given expression, 4 is multiplied with the binomial (8x + 5). Hence,

4(8x + 5) = 4*8x + 4*5

= 32x + 20

Hence, the simplified form of 4(8x + 5) is 32x + 20.

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Each number is classified according to its value in the given image.

We are given some numbers and we have to drag each number to the correct location according to its value. The numbers given are 4.2×\(10^{-6}\), 2.1×\(10^{-3}\),  3.1×\(10^{-2}\), 3.2×\(10^{-5}\), 3.5×\(10^{-4}\), 5.8×\(10^{-3}\), 5.2×\(10^{-4}\).

We will classify these numbers in the categories given in the table.

(a) Now the numbers which are greater than 3.1×\(10^{-3}\) are:

3.1×\(10^{-2}\) and  5.8×\(10^{-3}\).

(b) Numbers falling between 3.1 × \(10^{-3}\)  and 4.3 × \(10^{-5}\) are:

2.1×\(10^{-3}\), 3.5×\(10^{-4}\), and 5.2×\(10^{-4}\)

(c) Numbers that are less than 4.3 × \(10^{-5}\) are:

4.2×\(10^{-6}\)and 3.2×\(10^{-5}\)

So, the numbers are classified according to their values in the table given in the image.

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Answer:

she used the car for 3 days

Step-by-step explanation:

1. = 10$

2. =10$

3. =10$

the rent was 15$ so 30 + 15 =45$

Answer:

yay i got the spam answerer reported

Step-by-step explanation:

The sum of three consecutive even integers; n = first integer of the three is given by 3n + 6.

Positive numbers, negative numbers, and zero are all examples of integers. 'Integer' is a Latin word that signifies 'complete' or 'completely'. Integers do not contain fractions or decimals.

When the numbers to be added are small, the sum of integers may be determined using basic mathematics. But, if we need to add many consecutive numbers at once, we utilise the sum of integers formula.

It can be seen from the title that

three consecutive terms be,

n, n+2, n+4

The sum of the three even consecutive terms is

n + (n+2) + (n+4)

3n + 6

An integer is a number that has no decimal or fractional portion and can be negative or positive, including zero. Integers include the numbers -5, 0, 1, 5, 8, 97, and 3,043. 

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The value of the mathematical expression is 2x + 1/2

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

A mathematical expression

The mathematical statement is give as

Subtract (5x + 1/3) - (3x - 1/6)

When this is represented as an expression

We have the following representation

(5x + 1/3) - (3x - 1/6)

Open the brackets

So, we have the following representation

5x + 1/3 - 3x + 1/6

Collect the like terms

So, we have the following representation

5x - 3x + 1/3 + 1/6

Evaluate the like terms

2x + 1/2

Hence, the expression is 2x + 1/2

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Answer: 816.4 \(ft^2\)

Step-by-step explanation: The formula is A=2\(\pi\)rh

9514 1404 393

Answer:

  (b)  Congruent Figures

Step-by-step explanation:

Reflections, rotations, and translations are called "rigid transformations" because they do not change the size or shape of the figure. The image is always congruent to the original.

On the other hand, dilations change the size of the figure, so the image is not congruent with the original.

Rigid transformations result in congruent figures.

Answer:

-32

Step-by-step explanation:

-32/4=-8

-8+5=-3

Answer:

B

Step-by-step explanation:

Basically you are dividing X by 4, meaning the number of boxes, if you took all the mugs out of the boxes there are 55 mugs.

Answer:

32 times

Step-by-step explanation:

If you can go around 54 times for $12, then you multiply the amount of money you pay by four to get the number of times you can go around the track.

Hope this helps! Please mark Brainliest!

Answer:

I would say 36 because 54 times 8 is 432 and if you divide that by 12 you get 36.

Step-by-step explanation:

So, the length of the ladder is approximately 30.1 feet (rounded to the nearest tenth of a foot).

Let's call the length of the ladder "x".

We can use trigonometry to relate the angle and the length of the ladder to the height of the electric box and the distance from the base of the ladder to the wall of the house. In particular, we can use the sine function:

\(sin(62) = height of electric box / length of ladder\)

We know the height of the electric box is 27 feet, so we can solve for the length of the ladder:

\(x = 27 / sin (62)\)

Using a calculator, we find:

x ≈ 30.1

So, the length of the ladder is approximately 30.1 feet.

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When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

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a. Amount of interest earned: $1,807.04 (calculation: $8,334 x 0.072 x 3/4 = $1,807.04)
b. Amount in your account at the end of 3 quarters: $10,141.04 (calculation: $8,334 + $1,807.04 = $10,141.04)

a. To find the amount of interest earned, we'll use the simple interest formula: Interest = Principal x Rate x Time. In this case, the principal is $8,334, the rate is 7.2% (or 0.072 as a decimal), and the time is 3 quarters (or 0.75 years).

Interest = $8,334 x 0.072 x 0.75 = $451.53 (rounded to the nearest cent)

b. To find the amount in Erik's account at the end of 3 quarters, simply add the interest earned to the initial deposit:

Amount = Principal + Interest = $8,334 + $451.53 = $8,785.53

So, Erik will have $8,785.53 in his account at the end of 3 quarters.

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The value of the expression below when x=5x=5?

8x+9 is equal to \(7^{2}\) (or) 49.

Substitute \(\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)\)

The expression,

y = 8x + 9

If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:

So, we can substitute x = 5,

Then, y = 8 * 5 + 9

Calculate the product or quotient,

y = 40 + 9

Calculate the sum or difference,

y = 49

We can write alternative form,

y = \(7^{2}\)

Therefore,

Hence the value of the expressions if x = 5 is \(7^{2}\) (or) 49.

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The gas station serves 16 vehicles per hour, and 72 vehicles arrive in 4 hours. The vehicles will spend 4.50 hours at the gas station.



To find the total time the vehicles will spend at the gas station, we need to calculate the total number of vehicles that arrive and then divide it by the rate at which the gas station serves vehicles.

Given:

Arrival rate: 18 vehicles per hour

Service rate: 16 vehicles per hour

Time: 4 hours

First, let's calculate the total number of vehicles that arrive during the 4-hour period:

Total number of vehicles = Arrival rate * Time

                      = 18 vehicles/hour * 4 hours

                      = 72 vehicles

Since the gas station can serve 16 vehicles per hour, we can determine the time it takes to serve all the vehicles:

Time to serve all vehicles = Total number of vehicles / Service rate

                         = 72 vehicles / 16 vehicles/hour

                         = 4.5 hours

Therefore, the vehicles will spend 4.5 hours at the gas station. Rounded to 2 decimal places, the answer is 4.50 hours.

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The correct menu choice for conducting a matched-pairs difference test with unknown variance is option C.

paired two sample for means assuming equal variances. This option is appropriate when the population variances are assumed to be equal, but their values are unknown. This test is also known as the paired t-test, and it is used to compare the means of two related samples.

The test assumes that the differences between the paired observations follow a normal distribution. It is often used in experiments where the same subjects are tested under two different conditions, and the researcher wants to determine if there is a significant difference in the means of the two conditions.

Option A, data > data analysis > z-test, is not appropriate for a matched-pairs test because the population variance is unknown. Option B, paired two sample for means, assumes that the population variances are known, which is not always the case. Option D, paired two sample for means, is not appropriate for an unknown variance scenario.

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The correct answer is D. $2.75 / $3.24

To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:

Philadelphia: $117

Cleveland: $106

To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:

Expected Gas Price = National Average * (Transportation Expense / National Average)

National Average for gas = $2.59

For Philadelphia:

Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30

For Cleveland:

Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51

Comparing the expected gas prices, we find that:

A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.

C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.

Therefore, the correct answer is:

D. $2.75 / $3.24

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