Please help me I’m begging bro what is x???

AUB and AnB for the set A and B is  { } ( empty set)

To find A U B, we need to combine all the elements of A and B and remove duplicates:

A U B = {2, 3, 4, 5, 7, 8}

To find A n B, we need to find the elements that are common to both A and B:

A n B = {} (since there are no elements common to both sets A and B)

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The equation of line after solving with last line says 12 = 12 has

''infinite solution''.

What is mean by infinity solution of equation?

An equation of line has infinity solution if we solve the equation and get a variable or a number equal to itself.

Given that;

After solving equation we get the last line says 12 = 12 that is same constant.

Now, After solving the equation has number equal to itself.

That is, 12 = 12

Hence, By the condition of infinity solution of equation,

We get an equal number to itself after solving the equation.

So, The equation of line has ''infinite solution''.

Thus, The equation of line after solving with last line says 12 = 12 has

''infinite solution''.

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Using Fermat's little theorem and considering the expression n = 2^(p-2) + 2 * 5^(p-2) + 10^(p-2) - 1, it can be proven that n is a multiple of a prime number p if and only if p is congruent to 2 or 5 modulo p.

Fermat's little theorem states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) is congruent to 1 modulo p. We will use this theorem to prove the given statement.

Consider the expression n = 2^(p-2) + 2 * 5^(p-2) + 10^(p-2) - 1. We want to show that n is a multiple of p if and only if p is congruent to 2 or 5 modulo p.

First, assume that p is congruent to 2 or 5 modulo p. In this case, we can rewrite the expression n as (2^(p-1) - 1) + (2 * 5^(p-1) - 1) + (10^(p-1) - 1). Using Fermat's little theorem, each term in parentheses is congruent to 0 modulo p. Therefore, n is a multiple of p.

Now, assume that n is a multiple of p. We can rewrite n as (2^(p-2) - 1) + (2 * 5^(p-2) - 1) + (10^(p-2) - 1). Since n is a multiple of p, each term in parentheses must also be a multiple of p. This implies that 2^(p-2) - 1, 2 * 5^(p-2) - 1, and 10^(p-2) - 1 are all multiples of p. From Fermat's little theorem, we know that 2^(p-1) and 5^(p-1) are congruent to 1 modulo p. Therefore, 2^(p-2) and 5^(p-2) are also congruent to 1 modulo p. This means that p is congruent to 2 or 5 modulo p.

Hence, using Fermat's little theorem, it is proven that n is a multiple of p if and only if p is congruent to 2 or 5 modulo p.

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Answer:

the least

Step-by-step explanation:

Answer:

-∞

Step-by-step explanation:

Negative numbers are the smallest on the number line. Since the number range is not specified -∞ would be a preferred answer.

Answer:

\(\frac{7}{10}=\frac{14}{20}\)

\(\frac{3}{4}=\frac{15}{20}\)

so, \(\frac{7}{10}<\frac{3}{4}\)

Step-by-step explanation:

The solution for given linear equation are x=-99 and x=45 i.e. C.

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

Given linear equation is |1/3×+9|-3=21

so, -1/3x-12=21  --->1

and 1/3x+6=21 --> 2

From 1

1/3x=-33

x=-99

From 2

1/3x=15

x=45

Hence,

          The solution for given linear equation are x=-99 and x=45.

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Considering the desired test, it is found that:

1)

The null hypothesis is: \(H_0: \mu = 5\)

The alternative hypothesis is: \(H_1: \mu < 5\)

2) Since the p-value is greater than the standard significance level of 0.05, we do not reject the null hypothesis.

3) The p-value is the probability of finding a measure as extreme as the one found in the sample, considering any of the three kind of tests: left-tailed, right-tailed and two-tailed.

At the null hypothesis, we test is the mean weight is still the same, that is:

\(H_0: \mu = 5\)

At the alternative hypothesis, we test if the weight has decreased, that is:

\(H_1: \mu < 5\)

Question 2:

Since the p-value is greater than the standard significance level of 0.05, we do not reject the null hypothesis.

Question 3:

The p-value is the probability of finding a measure as extreme as the one found in the sample, considering any of the three kind of tests: left-tailed, right-tailed and two-tailed.

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Answer:

Step-by-step explanation:

An Additive Verse is a pair of numbers whose sum is zero.

Example: the additive Inverse of -5 is +5

Therefore: the Additive Inverse of -10 1/4 would be +10 1/4

Answer:

1.55 hours

Step-by-step explanation:

5.74-4.20=1.55

Please award Brainiest if satisfied greatly appreciated :)

Answer:

Step-by-step explanation:

Comment

There was a flat fee of 10 dollars

Each 1/4 hour brought in 3,75

The total charge was 55 dollars.

Equation

Charge = 10 + 4*3.75*x                     as an hourly rate,

Solution

55 = 10 + 4*3.75x                                Combine

55 = 10 + 15x                                       Subtract 10 from both sides

55-10= 10-10 + 15x

45 = 15x                                               Divide by 15

45/15 = 15x/15

x = 3 hours

Answer 3 hours  

Answer:

54

Step-by-step explanation:

C=πd

π=3

d=18

C=3×18

Therefore C=54

Answer:

c=54

Step-by-step explanation:

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them. So the monthly charge for Danielle's cable bill is $5.

Danielle pays a monthly charge of $69 for her cable bill.

She also pays a fee every time she watches a movie on demand.

Last month Danielle watched 7 movies on demand, and her total monthly bill was $104.

We have to find the monthly charge for Danielle's cable bill to choose.

Remove the monthly fee of 69 dollars for cable service from the total of 104 dollars, then check the statement to see that there is still a mystifying 35 dollars on it.

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them, giving you the result of $5 per on-demand movie.

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The line passes through the point (4, 3)

The line has a slope of m=-1/3

The equation of the line can be written in the form

Since the slope is -1/3

Then the equation becomes

Since the line passes through the point (4, 3)

Substitute x = 4, y= 3 into the equation

Simplify the equation and solve for c

Hence, the equation becomes

Using an online graphing calculator.

The graph of the line is shown

The population mean  of interest for this example is all of the tire pressure gauges in the shipment of 2000.

1. The problem states that 2000 tire pressure gauges were shipped to an automotive company warehouse.

2. Fifty of the tire gauges were randomly selected from various parts of the shipment and the percent of those that were defective was determined.

3. If the percentage of defective tire gauges was greater than 5%, the shipment was sent back.

4. Therefore, the population of interest for this example is all of the tire pressure gauges in the shipment of 2000.

This example involves an automotive company warehouse receiving a shipment of 2000 tire pressure gauges. Fifty of the tire gauges were randomly selected from various parts of the shipment and the percent of those that were defective was determined. If the percentage of defective tire gauges was greater than 5%, the shipment was sent back. Therefore, the population of interest for this example is all of the tire pressure gauges in the shipment of 2000 since this is the sample from which the percentage of defective gauges was determined.

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The approximate length of ab is 12.2 feet

A right triangle's hypotenuse (the side that faces the right angle) has a square length that, according to the Pythagorean theorem, is equal to the sum of the squares of the other two sides' lengths.

It can be written as c2 = a2 + b2 where c is the hypotenuse's length and a and b are the other two sides' lengths. Pythagoras, a Greek mathematician, is credited with discovering the theorem, which bears his name.

The Pythagorean theorem, which asserts that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side, can be used to estimate the length of AB (the hypotenuse).

The distances along the room's 11-foot and 13-foot sides serve as the two shorter sides in this situation, while AB serves as the hypotenuse. AB is around the following length:

√(11^2 + 13^2 + 10^2) = √(146) = 12.2 feet

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Given function: \($f(x,y) = x^2 + y^2 - 6x +10y-9$\\\), the relative-maximum and minimum values of the given function \($f(x,y)$\) at \($f(x,y) = -32$\).

Find first-order partial-derivatives of \($f(x,y)$\) with respect to \($x$\) and \($y$\), respectively.

\($\frac{\partial f}{\partial x} = 2x-6$ $\frac{\partial f}{\partial y} = 2y+10$\)

Step 2: Find the critical points of\($f(x,y)$\) by equating the first-order partial derivatives to zero.

\($\frac{\partial f}{\partial x} = 0\implies 2x-6=0\implies x=3$ $\frac{\partial f}{\partial y} = 0\implies 2y+10=0\implies y=-5$\)

Therefore, the critical point is \($(3,-5)$\)

Step 3: Find the second-order partial derivatives of \($f(x,y)$\) with respect to x and y, respectively.

\($\frac{\partial^2 f}{\partial x^2} = 2$ $\frac{\partial^2 f}{\partial y^2} = 2$ $\frac{\partial^2 f}{\partial x \partial y} = 0$\)

Step 4: Find the value of \($D$\) (i.e., determinant of the Hessian-matrix) at the critical point \($(3,-5)$\).

\($D=\begin{vmatrix}f_{xx} & f_{xy} \\ f_{yx} & f_{yy}\end{vmatrix} = \begin{vmatrix}2 & 0 \\ 0 & 2\end{vmatrix} = 4 > 0$\)

Step 5: Classify the critical point\($(3,-5)$\) as relative maximum, minimum, or saddle point using the value of \($D$\) and\($f_{xx}$\).

Since \($D > 0$\) and \($f_{xx} > 0$\), the critical point \($(3,-5)$\) is a relative minimum of the given function\($f(x,y)$\).

Therefore, the correct choice is A. The function has a relative minimum value of \($f(x,y) = -32$\) at

\($(x,y) = (3,-5)$.\)

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The solutions for y are y = -3/4 and y = 1/2.

What is Quadratic equation?

A quadratic equation is a second-degree polynomial equation in a single variable x of the form:

ax^{2} + bx + c = 0

where a, b, and c are constants and a ≠ 0. The variable x represents an unknown quantity that we want to solve for, and the coefficients a, b, and c determine the shape, position, and number of solutions of the equation.

To solve for y, we need to isolate the square root term on one side of the equation and then square both sides.

Starting with: 3y + 2 = √(y² + 10y + 7)

Step 1: Square both sides of the equation:

(3y + 2)² = y² + 10y + 7

9y² + 12y + 4 = y² + 10y + 7

Step 2: Move all the terms to one side of the equation:

8y² + 2y - 3 = 0

Step 3: Solve for y by factoring or using the quadratic formula:

We can factor the quadratic equation as follows:

(4y + 3)(2y - 1) = 0

Therefore, either 4y + 3 = 0 or 2y - 1 = 0.

Solving for y in each case, we get:

4y + 3 = 0 => 4y = -3 => y = -3/4

2y - 1 = 0 => 2y = 1 => y = 1/2

Therefore, the solutions for y are y = -3/4 and y = 1/2.

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Complete question: Solve for y, 3y+2=√(y²+10y+7)

Answer: $860 this week.

Step-by-step explanation:

Paul worked 40 hours this week, and makes 21.50 dollars an hour. Gross pay means the amount of money paid before taxes.

So we don't need to calculate any taxes, which means all we need to do is multiply 21.50 by 40 hours, since he makes 21.50 an hour, and he worked 40 hours.

By using Binomial Distribution  of probability, it is obtained that

Probability  that the number of heads is 13 or more =  \(137980(\frac{1}{2})^{20}\)

What is Binomial Distribution?

Binomial distribution is a discrete type probability distribution whose probability mass function is

P(X = k) = \({n \choose k} p^k(1 - p)^{n-k}\)

p is the probability of success.

Here Binomial distribution of probability is used

P(X \(\geq\) 13) = P(X = 13) + P(X = 14) + ........ + P(X = 20)

P(X = 13) = \({20 \choose 13} (\frac{1}{2})^{13}( 1 - \frac{1}{2}})^{20-13}\)

              = \({20 \choose 13} (\frac{1}{2})^{13}( \frac{1}{2}})^{7}\)

              =\({20 \choose1 3} (\frac{1}{2})^{20}\)

P(X = 14) = \({20 \choose14} (\frac{1}{2})^{20}\)

P(X = 20) = \({20 \choose20} (\frac{1}{2})^{20}\)

Total Probability = \(({20 \choose 13} + {20 \choose 14} + .... {20 \choose 20})(\frac{1}{2})^{20}\)

                  = (77520 + 38760 + 15504 + 4845 + 1140 + 190 + 20 + 1)\((\frac{1}{2})^{20}\)

                   = \(137980(\frac{1}{2})^{20}\)

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Given in the question:

a.)

The grade of a highway up a hill is 26%, therefore the amount of change in horizontal distance if the vertical height of the hill is 600 feet is 2307ft.

This is referred to as the numerical or occasionally qualitative measurement of how far apart objects or points are.

First, express the grade as a decimal.

26% → 0.26

Grade = (change in vertical height) / (change in horizontal distance)

0.26 = (600 ft) / x

x = (600 ft) / 0.26 = 2307 ft

That is the change in horizontal distance.

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Answer:

Is less than one, smaller

Step-by-step explanation:

Hope this helps

Answer:

Slope: 8/5

Y-int: (0, -4)

Step-by-step explanation:

The line intersects the y-axis at the point (0, -4). Therefore (0,-4) is the y-intercept.

For the slope, two points are (0, -4) and (5,4)

Using the formula (y2 - y1) / (x2 - x1), we get (4 - (-4)) / 5 = 8/5. Therefore, the slope is 8/5.

The work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

To calculate the work required to pump all the water over the edge of the tank, we need to consider the weight of the water in the tank and the height it is lifted.

First, let's find the volume of the water in the tank. The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height. Plugging in the values, we have:

V = (1/3)π(3²)(12)

= (1/3)π(9)(12)

= 36π

Next, we need to find the weight of the water. The weight of an object is given by the formula W = mg, where m is the mass and g is the acceleration due to gravity. The mass of the water can be found by multiplying its volume by the density of water, which is approximately 62.4 pounds per cubic foot:

m = (36π)(62.4)

≈ 22619.47 pounds

Now, we can calculate the work done by multiplying the weight of the water by the height it is lifted. In this case, the height is 12 feet:

W = (22619.47)(12)

≈ 271433.64 foot-pounds

Therefore, the work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

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The work required to pump water out of an inverted conical tank involves calculating the pressure-volume work at infinitesimally small volumes within the tank and integrating this over the entire volume of the tank. This provides an interesting application of integral calculus in Physics.

The question requires the concept of work in Physics applied to a fluid, in this case, water lying within an inverted conical tank. Work is done when force is applied over a distance, as stated by work = force x distance. In the fluid analogy, the 'force' link is the pressure exerted on the water and the distance is the change in volume of the fluid. Therefore, work done (W) = Pressure x Change in Volume (ΔV).

In this scenario, you are required to pump out water from an inverted conical tank, hence, the work you do is against the gravitational force pulling the water downwards. To calculate the total work done, you have to consider the work done at each infinitesimally small (hence, constant pressure) strip of volume and integrate over the entire volume of the tank.

The detail of calculation would require the knowledge of integral calculus and the formula for volume of a cone. I recommend considering this as an interesting application of integrals in Physics. Also remember that the volume of a cone = 1/3πr²h, where 'r' is the radius of base and 'h' is the height of cone.

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Answer: your answer should be an angle that is greater than 90 degrees.

Step-by-step explanation: a supplementary angle is an angle that is greater than 90 degrees. hope it helps :)

Answer:

the answer is 48

Step-by-step explanation:

a complementary angle is when their angles add up to 90 degrees

can i get the crown?

Answer: A. 2,

B. -11,

C. -25

D. 43

e. -3/2

Step-by-step explanation:

Answer:

9d +3

Step-by-step explanation:

plz brainliestt

Answer:

9d+3

Step-by-step explanation:

(6d+5)-(2-3d)

First, I like to put a 1 in front of the second grouping of numbers to help me with the distributing:

(6d+5)-1(2-3d)

Distribute the -1:

(6d+5)-2+3d

Remove parenthesis and combine like-terms:

9d+3

Answer:

B:: 3^-5

Step-by-step explanation:

Symplifying, you should get 1/3 raised to the 5. flip the expression and you will get 3 to the negative 5. one to the 5 is just 1•1•1•1•1, which will result in 1, so we don't care about that.

42ab3. = 126ab

70a2b2. =280ab²

that's my answer hope it's help