In circle o, the length of arc AB is 2x and the radius is 5. Find m m

Answer:

23

Step-by-step explanation:

you always do whatever is in the brackets first,

31 - 9 = 22

then the equation would be,

45 - 22

so the answer is 23

hope this helped xx

To find the absolute maximum and minimum values of the function f(x, y) = x^2 + 5y + y^2 subject to the constraint g(x, y) = x^2 + y^2 = 1, we can use the method of Lagrange multipliers.

First, we set up the Lagrangian function L(x, y, λ) = f(x, y) - λ(g(x, y) - 1), where λ is the Lagrange multiplier. The Lagrangian function combines the objective function f(x, y) and the constraint g(x, y) with the Lagrange multiplier λ.

Next, we take partial derivatives of L with respect to x, y, and λ and set them equal to zero to find the critical points:

∂L/∂x = 2x - 2λx = 0

∂L/∂y = 5 + 2y - 2λy = 0

∂L/∂λ = x^2 + y^2 - 1 = 0

Solving these equations simultaneously, we can find the critical points (x, y) that satisfy the equations and the constraint.

From the first equation, we have x(1 - λ) = 0, which gives us two possibilities:

x = 0

λ = 1

Case 1: x = 0

Substituting x = 0 into the third equation, we have y^2 - 1 = 0, which gives us y = ±1. So we have two critical points: (0, 1) and (0, -1).

Case 2: λ = 1

Substituting λ = 1 into the second equation, we have 5 + 2y - 2y = 0, which simplifies to 5 = 0. This is not possible, so there are no critical points in this case.

Now we evaluate the function f(x, y) at the critical points and compare the values to find the absolute maximum and minimum:

f(0, 1) = (0)^2 + 5(1) + (1)^2 = 6

f(0, -1) = (0)^2 + 5(-1) + (-1)^2 = -4

Therefore, the absolute maximum value of f(x, y) subject to the constraint x^2 + y^2 = 1 is 6, which occurs at the point (0, 1), and the absolute minimum value is -4, which occurs at the point (0, -1).

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Answer:

C

Step-by-step explanation:

Here, we want to know what what the display on the calculator means.

Well, the expression has to do with how scientific calculators display powers of 10.

So what this means is that the value 3.456 is raised to the power of 14.

This is a way in which the screen of the scientific calculators maximizes the space on their screens.

Perhaps, we have the result of a multiplication to the powers of 27. It would be quite funny seeing 27 zeros lying on the screen of the calculator right? isn’t it?

So the calculator makes a better way of this by just printing E 27 and this automatically means 10 raised to the power of 27

This makes our answer C

Kindly note that the + sign indicates that the power of the 10 is positive 14.

Answer:

1 and 7/8 in two hours

Step-by-step explanation:

Answer:

3x²

Step-by-step explanation:

1) Find the pattern

In the grid we can see that each opposite terms multiply to get the space in the grid. Example: there was -3 and 3x so to fill in the grid the question has multiplied them together which got -9x

To apply it into the question we are given we need to multiply the x and the 3x to give the answer

2) Find the answer!

As we have figured out that you need to multiply we need to do so!

Hope this helps, have a great day!

Yes, any list of five real numbers can be considered a vector in the set of real numbers with dimension 5, denoted as ℝ5.

A vector is a mathematical object that represents a quantity with both magnitude and direction. In the case of ℝ5, this set includes all possible lists of five real numbers, which can be thought of as five-dimensional vectors. Each number in the list represents a component or coordinate of the vector, indicating how far it extends in each of the five dimensions.

Therefore, any list of five real numbers can be considered a vector in the set of real numbers with dimension 5, denoted as ℝ5.


In mathematics, a vector is an element of a vector space, which is a set of objects that can be added together and multiplied by scalars (real numbers). The set ℝ⁵ is a vector space consisting of all 5-tuples (lists) of real numbers, written as (a₁, a₂, a₃, a₄, a₅), where each element aᵢ is a real number. Any list of five real numbers forms a vector in ℝ⁵ because it satisfies the required conditions to be an element of the vector space.

A list of five real numbers is indeed a vector in the set of real numbers ℝ⁵, as it meets the necessary criteria to be a part of the vector space.

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The missing number in the boxes using the concept of perfect square are;

1) 4

2) 7 and 2

3) 4

4) 3 and 9

5) 3

A perfect square is defined as a number that is the square of a whole number. For example, 36 is a perfect square being the square of 6. Other perfect squares that are between 0 and 1000 are 1, 4, 9, 16, 25, 3649, 64, e.t.c

1st box: We see it as;

___ * 2 * 2

Using the concept of perfect squares and the pattern given, we can say that the missing number is 4

2nd box: 14 * __ * ___

Using the concept of perfect squares and the pattern given, we can say that the missing numbers are respectively 7 and 2

3rd box: 2 * 8 * ___

Using the concept of perfect squares and the pattern given, we can say that the missing number is 4

4th box: __ * 3 * _____

Using the concept of perfect squares and the pattern given, we can say that the missing numbers are respectively 3 and 9

5th: 3 * ____

Using the concept of perfect squares and the pattern given, we can say that the missing number is 3

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Step-by-step explanation:

slope, m = (y1-y2) / (x1-x2) =   (8-6) / (  4-8) = 2/(-4) = - 1/2  slope

Answer:

-1/2

Step-by-step explanation:

Slope formula: \(\frac{y^2-y^1}{x^2-x^1}\)

We have to find the slope for the points (4, 8) and (8, 6).

(x1, y1) - coordinates of the first point (4, 8).

(x2, y2) - coordinates of the second point (8, 6).

Now that we know what the variables stand for, we plug the numbers into the formula.

\(\frac{y^2-y^1}{x^2-x^1} =\frac{6-8}{8-4} \\\\= \frac{-2}{4} =\frac{-1}{2}\)NOTE: -1/2 is -2/4 in the simplest form.

So, the slope of this equation is -1/2.

Answer:

Its 68

Step-by-step explanation:

Sum of all the angles is 180

63+49+w = 180

112+w=180

w=180-112

w=68

Answer:

False

Step-by-step explanation:

68% falls between the first standard deviation from the mean.

plus minus two would fall under 95%

Answer:

Step-by-step explanation:

To get the zeros of the expression 2x(x - 5)(x+7), we are going to equate the expression to zero and find the corresponding value of x as shown;

2x(x - 5)(x+7) = 0

2x = 0

x-5 = 0

x+7 = 0

From 2x = 0

x = 0/2

x = 0

From x-5 = 0

x = 0+5

x = 5

From the equation x+7 = 0

x = 0-7

x = -7

Hence the values of the zeros are {-7, 0, 5}

The central angle (127 degrees) is the angle at point K

The measures of JL and JML are 127 and 233 degrees, respectively

From the complete question, we have:

JL = 127 degrees.

The sum of angles at a point is 360 degrees

So, we have:

JML + 127 = 360

Subtract 127 from both sides

JML = 233

Hence, the measures of JL and JML are 127 and 233 degrees, respectively

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The triangle ABC has a surface area of 17.7 square units. Rounding to the nearest tenth of a square unit,

Heron's Formula can be used to calculate the triangle ABC's area. The equation reads as follows:

A = √[s(s-a)(s-b)(s-c)]

Where s is one-half of the triangle's circumference and a, b, and c are its three sides.

By summing the triangle's sides, we can determine the perimeter:

P = a + b + c

The formula below is used to get the other half of the perimeter.

s = P/2

For the triangle ABC, we have the sides a=3, b=5, and c=4.

Therefore, half of the perimeter is s = 8.

Now, Heron's formula can be used to determine the triangle ABC's surface area:

A = √[s(s-a)(s-b)(s-c)]

= √[8(8-3)(8-5)(8-4)]

= √[8(5)(3)(4)]

= 17.7 square units

Therefore, the triangle ABC has a surface area of 17.7 square units, Rounding to the nearest tenth of a square unit.

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Answer:

p = -9

Step-by-step explanation:

4p + 2 = 3p -7 subtract 3p to get p's on the same side

1p + 2 = -7 subtract 2 to get p alone

p = -9

Answer:

p = -9

Step-by-step explanation:

4p + 2 = 3p -7 subtract 3p to get p's on the same side

1p + 2 = -7 subtract 2 to get p alone

p = -9

Answer:

You can graph them on desmos and see which is a linear (literally looks like a line)

Step-by-step explanation:

The dimensions of the room will be 12m x 6m.

So, now calculate the dimensions of the room as follows:

Solve as shown:

Therefore, 12m x 6m will be the dimensions of the room.

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The total distance covered during hiking is 15x + 10

Distance is the amount of space between two points.

Given that  Side a is 4x+1 side b:5x+4 side c:6x+5, hence:

Total distance = side a + side b + side c

Total distance = 4x + 1 + 5x + 4 + 6x + 5 = 15x + 10

The factor of the total distance is:

15x + 10 = 0

15x = -10

x = -2/3

The total distance covered during hiking is 15x + 10

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the conclusion can be drawn as the derivative of the given function is \(2t^8/9x^4 + (1296/5) * (9/b+5/9) * x^{(9/b-11/3)}\).

The given question is as follows: Find the derivative. dx d​∫ 1 x​​18t 9 dt 9x 4 12x 6 5 9​x b + 5 9​18x 9/2

Now, we need to find the derivative of the given function. So, the derivative of the given function can be calculated as follows:

dx/dt = d/dt ( 18t^9/9x^4 + 12x^6/5x^(9/b+5/9))

Now, let's calculate the derivative of the given function step by step

d/dt (18t^9/9x^4 + 12x^6/5x^(9/b+5/9)) = 2t^(9-1)/(9x^4) + [d/dx (12x^6/5x^(9/b+5/9)) * d/dt (x^(9/b+5/9))]

Let's differentiate the second term using chain rule.

d/dx \((12x^6/5x^{(9/b+5/9)}) = (72x^{(6-1)})/(5x^{(9/b+5/9+1)}\)

= \((72x^{(6-1)})/(5x^{(9/b+14/9)})d/dt (x^{(9/b+5/9)})\)

= (9/b+5/9) * \(x^{(9/b+5/9 - 1)}\) * d/dt (x)

= (9/b+5/9) * \(x^{(9/b+5/9 - 1)}\) * 1

Now, substituting the values of d/dx and d/dt in the main equation, we get

dx/dt = \(2t^(9-1)/(9x^4) + [(72x^(6-1))/(5x^{(9/b+14/9)})] * [(9/b+5/9) * x^{(9/b+5/9 - 1)} * 1]dx/dt\)= \(2t^8/9x^4 + 1296/5x^{(9/b+23/9)} * (9/b+5/9) * x^{(9/b-4/9)}\)

Let's simplify the above equation a bit

dx/dt =\(2t^8/9x^4 + (1296/5) * (9/b+5/9) * x^{(9/b+5/9-4/9-4)}dx/dt = 2t^8/9x^4 + (1296/5) * (9/b+5/9) * x^{(9/b+1/3-4)}\)

The derivative of the given function is given as

\(2t^8/9x^4 + (1296/5) * (9/b+5/9) * x^{(9/b-11/3)}\)

The given function is differentiated using the derivative formula of the integrals. Here, we need to find the derivative of the given function. To find the derivative of the given function, we need to differentiate the given function using the derivative formula of the integrals. The derivative of the given function can be calculated as

\(2t^8/9x^4 + (1296/5) * (9/b+5/9) * x^{(9/b-11/3) }\)

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Answer:

x=-9

Step-by-step explanation:

Answer:

4.4

Step-by-step explanation:

180 - 116 = 64

116 - 72 = 44

10x = 44

x = 4.4

Answer:

-6 7 2.62 20 54

Step-by-step explanation:

Answer:

(9,0)

Step-by-step explanation:

Since we know that M is halfway of point A from the origin, to find point M, take half of point A's x-intercept.

(18,0) halfway from the origin would be (9,0).

We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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When x is correlated with y, it means that there exists a relationship between the two variables, where a change in one variable (x) is associated with a change in the other variable (y).

This relationship can be either positive or negative.

In a positive correlation, as the value of x increases, the value of y also increases, and as the value of x decreases, the value of y decreases as well. This indicates that both variables move in the same direction. On the other hand, in a negative correlation, as the value of x increases, the value of y decreases, and as the value of x decreases, the value of y increases. This shows that the variables move in opposite directions.

It is essential to note that correlation does not imply causation. Just because two variables are correlated does not mean that one variable causes the other to change. There could be other factors or variables that influence the observed relationship between x and y. Additionally, the strength of the correlation can vary, with values close to 1 or -1 representing a strong relationship and values close to 0 representing a weak relationship or no relationship at all.

In conclusion, when x is correlated with y, it means that there is a relationship between the two variables that can be either positive or negative, but this does not necessarily imply causation. The strength of the relationship can also vary, depending on the correlation coefficient value.

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Answer: \(\frac{11}{9}\)

Step-by-step explanation:

When we want to find a slope with just two coordinates, we need to use the slope equation (where m represents slope):

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Either coordinate can represent 2 or 1, but I always like to choose the coordinate with the higher x value, because it makes more sense to me. So my coordinate 2 will be (6, 4) and coordinate 1 will be (-3, -7).

We can then plug that in to the previous equation:\(m = \frac{4 - (-7)}{6 - (-3)} = \frac{11}{9}\)

I hope this helps, and if you need anything explained please let me know.

In a two-player zero-sum game, player one and player two each have three strategies. Player one has a payoff matrix of (5, 2, 3), (2, 0, 4), and player two has a payoff matrix of (3, 3, 0). Find the optimal strategies for both players.1. Formulating the LP problem.

The linear programming formulation of a two-person zero-sum game is:Maximize the value of v given by: V = min (row maximums), where the minimum is taken over all rows of the matrix and the row maximums are the maximum element in each row of the matrix. Subject to the following constraints:Player 1 strategies: p11 + p12 + p13 = 1, where p11, p12, and p13 represent the probabilities of player 1 choosing strategies 1, 2, and 3, respectively.Player 2 strategies: p21 + p22 + p23 = 1, where p21, p22, and p23 represent the probabilities of player 2 choosing strategies 1, 2, and 3, respectively.Non-negativity constraints: p11, p12, p13, p21, p22, p23 ≥ 0.2. Finding the optimal strategies of the game between two playersThe given payoff matrix for the game is:5 2 32 0 43 3 0.

In this game, the row maximums are 5, 4, and 3.The linear programming formulation of the game can be represented as:Maximize V = min (row maximums)Subject to:p11 + p12 + p13 = 1p21 + p22 + p23 = 1p11, p12, p13, p21, p22, p23 ≥ 0The solution of this game is obtained by solving the following linear programming problem.Maximize V = min (5p11 + 2p12 + 3p13, 2p21 + 4p13, 3p21 + 3p22)Subject to:p11 + p12 + p13 = 1p21 + p22 + p23 = 1p11, p12, p13, p21, p22, p23 ≥ 0On solving the above problem, we get optimal strategies for the game between two players.Player 1 optimal strategy is:p11 = 0, p12 = 1/3, and p13 = 2/3.Player 2 optimal strategy is:p21 = 1/3, p22 = 0, and p23 = 2/3.Thus, player 1 should play strategy 3 with probability 2/3 and strategy 2 with probability 1/3. Player 2 should play strategy 3 with probability 2/3 and strategy 1 with probability 1/3.

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Answer:

Option C is equal to 7^1/3

Answer:

Part A: y = $250 + $45x

Part B: U = y * 0.75  or  U = ($250 + $45x) * 0.75

Part C: $390

Step-by-step explanation:

Part A: In this scenario, we have fixed costs for the treatment and two variables, one of which is the number of appointments which is represented by the letter x and the total amount of costs which is represented by the letter y in the following equation...

y = $250 + $45x

Part B: Now we have the equation for the total cost we can update it to add the 25% discount. Since this is a discount it means that it is being subtracted from the 100% original price. Therefore, we need to multiply the total cost by the decimal form of 75% (100 - 25) which we can get by dividing the percentage by 100 like, which gives us 0.75. Now we multiply this value by the total cost in order to get the updated cost (U).

U = y * 0.75  or  U = ($250 + $45x) * 0.75

Part C: Now we can substitute the number of appointments variable (x) by 6 and solve for U.

U = ($250 + $45x) * 0.75

U = ($250 + $45(6)) * 0.75

U = ($250 + $270) * 0.75

U = $520 * 0.75

U = $390

Answer:

The amount of goo remaining after 32 minutes is approximately 54.7 grams.

Step-by-step explanation:

The half-life of a substance is the amount of time it takes for half of the substance to decay. To find the half-life of the goo in the experiment, we need to solve the equation G ( t ) = G ( 0 ) / 2 for t , where G ( 0 ) is the initial amount of goo and G ( t ) is the amount of goo remaining after time t .In this case, G ( 0 ) = 176 grams and G ( 135 minutes ) = 11 grams, so we can write the equation as follows:11 grams = 176 grams / 2Solving for t , we get:t = 135 minutes * ( 1 / 2 ) = 67.5 minutesThis is the half-life of the goo in the experiment.To find the amount of goo remaining after time t , we can use the equation G ( t ) = G ( 0 ) * ( 1 / 2 ) ^ ( t / t1/2 ) , where G ( 0 ) is the initial amount of goo, t is the time at which we want to find the amount of goo remaining, and t1/2 is the half-life of the goo.In this case, G ( 0 ) = 176 grams, t = 32 minutes, and t1/2 = 67.5 minutes, so we can plug these values into the equation to find the amount of goo remaining after 32 minutes:G ( 32 minutes ) = 176 grams * ( 1 / 2 ) ^ ( 32 minutes / 67.5 minutes )This equation tells us that the amount of goo remaining after 32 minutes is approximately 54.7 grams.

The slope and y-intercept can provide important information about the relationship between the variables being modeled.

What are the slope and y-intercept?

The slope and y-intercept are both elements of a linear equation of the form y = mx + b, where m represents the slope of the line and b represents the y-intercept of the line.

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It tells us how much the y-value changes for a given change in the x-value. The slope can be positive, negative, or zero, and it is often represented as a ratio, such as "rise over run" or "rise/run". A positive slope indicates that the line rises as x increases and a negative slope indicates that the line falls as x increases.

The y-intercept (b) represents the point at which the line crosses the y-axis. It tells us the value of y when x = 0. In other words, the y-intercept is the value of the dependent variable when the independent variable is zero.

Hence, the slope and y-intercept can provide important information about the relationship between the variables being modeled.

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