Write the equation of a circle for which the endpoints of a diameter are (-0,0) and (4,-6)

Mr. Luciano and Mr. Ng can finish \(k \times J / (xy/(x+y))\) if they collaborate for k hours on the job.

If Mr. Ng can finish a task in x hours, he can finish 1/x of the task in a single hour.

In the same way, if Mr. Luciano can finish the identical task in y hours, he can finish 1/y of the task in an hour.

They can finish (1/x + 1/y) of the task in an hour if they collaborate.

Let J represent the entire task that needs to be accomplished.

The amount of work produced if they collaborate for k hours is equal to their collective work rate times the number of hours they collaborated:

Because they are cooperating, the work rates are combined together.

To determine the actual quantity of work accomplished, we multiply by J.

If we condense this phrase, we get:

Amount of work finished\(= (1/x + 1/y) \times k \times J\)

The work rates are added, as you can see.

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The cumulative probability of having x or fewer successes is 0.157.

To calculate the probability of 11 or fewer successes in 12 trials with a probability of success of 0.4, we can use the cumulative distribution function (CDF) of the binomial distribution. The CDF gives the cumulative probability of having x or fewer successes in n trials.

In this case, the cumulative probability of 11 or fewer successes in 12 trials is given by:

P(X <= 11) = ∑(12 choose i) * (0.4)^i * (0.6)^(12-i)

for i = 0, 1, 2, ..., 11

Where (12 choose i) is the number of ways to choose i successes out of 12 trials, and can be calculated as

12! / (i! * (12-i)!).

This can be calculated using a binomial cumulative distribution function calculator. The result should be approximately 0.157.

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The area of the triangle JHI is 8.75 square units.

From the given figure,

Area of a ΔJHI = Area of a rectangle - (Area of 3 triangles)

= 5×4 - (1/2 ×3×4 + 1/2 ×2×3 + 1/2 ×1×5)

= 20 - (6+3+2.5)

= 20 - 11.25

= 8.75 square units

Therefore, the area of the triangle JHI is 8.75 square units.

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The diagram of water cycle is attached below.

The best describes the process occurring at U and X is Water changes from a liquid to a gas.

The process that occurs at the position of U and X is discussed when water transforms from a liquid to a gas. This is called Evaporation.

The following are the situations that should not be arisen at the location U and X:

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Answer:

=4x

Step-by-step explanation:

The radical rule is √a^2 = a; assuming a≥0

√x^2 = x

= 4x

Hope this helps! Have a nice day!

Answer:

to simply

\( \sqrt{x \: } \)

is the answer

Answer:

21.269

Step-by-step explanation:

C=2pi (√a/pi)

Answer:

look for the numbers and or bring it uo or down

a)

Critical point: [1,1]

Classification: Minimum point

b)

Critical point: [-3,-2,-5]

Classification: Maximum point

The Hesse matrix of a quadratic function is a symmetric matrix that has partial derivatives of the function as its entries. To find the eigenvalues of the Hesse matrix, we can use the determinant or characteristic polynomial. However, in this problem, we do not need to calculate the eigenvalues as we only need to determine their signs.

For function f(x,y), the Hesse matrix is:

H(f) = [4 0; 0 4]

Both eigenvalues are positive, indicating that the critical point is a minimum point.

For function g(x,y,z), the Hesse matrix is:

H(g) = [4 0 0; 0 4 -1; 0 -1 -2]

The determinant of H(g) is negative, indicating that there is a negative eigenvalue. Thus, the critical point is a maximum point.

By setting the gradient of each function to zero and solving the system of equations, we can find the critical points.

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Answer:

1 one

Step-by-step explanation:

L=1/8*2*22/7*4

=22/7

=π m

The measure of length of OB is 4m and the angle of O is 45 degrees. The exact length of AB will be π m.

Angle bisectors are lines that bisect the considered angle. Bisect refers to splitting into two equal parts.

Therefore, the bisected parts of the considered angle are half of the original angle.

The measure of length of OB is 4m and the angle of O is 45 degrees.

The exact length of AB

\(L = 1/8 \times 2\times\dfrac{22}{7}\times4\\\\= 22/7\\\\=\pi m\)

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Answer:

1

Step-by-step explanation:

1/4 - ( - 3/4)

{Multiplying two negative signs gives us positive sign}

1/4 + 3/4

Add both of them:

1/4 + 3/4 = 1

Answer:

1

Step-by-step explanation:

note that - (- ) = +

\(\frac{1}{4}\) - (- \(\frac{3}{4}\) )

= \(\frac{1}{4}\) + \(\frac{3}{4}\)

= 1

The mass of a 2018 Olympic gold medal in hectograms is 58.6 hg.

First, we need to know the mass of the Olympic gold medal in grams. According to the question, the mass of an Olympic gold medal is 586 grams.

To convert grams to hectograms, we need to divide the mass in grams by 100. This is because there are 100 grams in 1 hectogram.

To do the division, we can use a calculator. Dividing 586 by 100 gives us 5.86.

The answer we get is in hectograms, so we can write it as 5.86 hg. This means that the mass of a 2018 Olympic gold medal is 5.86 hectograms.

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Answer:

Step-by-step explanation:

translate

The first expression  X (Y + Z) = X.Y + X.Z is distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z is associative property of multiplication.

According to the question,

We have the following two expressions:

X (Y + Z) = X.Y + X.Z

X(Y.Z) = (X.Y)Z = X.Y.Z

Now, the distributive property of multiplication states that the number outside the bracket is multiplied into each number within the bracket and the sign remains the same.

For example, 2(5+7) is 2*5+2*7.

The associative property of multiplication states that the result of the multiplication of numbers is same even when the bracket is changed from one number to another.

Hence, the first expression  X (Y + Z) = X.Y + X.Z is distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z is associative property of multiplication.

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According to the Boolean algebra, the first expression  X (Y + Z) = X.Y + X.Z uses distributive property of multiplication and

The second expression X(Y.Z) = (X.Y)Z = X.Y.Z uses the associative property of multiplication.

Boolean Algebra:

Basically, Boolean algebra is a branch of mathematics that deals with operations on logical values with binary variables.

And there are three properties in Boolean algebra.

They are, Commutative, associative, and distributive properties.

Given,

Sam’s teacher wrote two Boolean expressions on the whiteboard. Identify the names of the laws of these expressions.

Expression 1: X (Y + Z) = X.Y + X.Z

Expression 2: X(Y.Z) = (X.Y)Z = X.Y.Z

Here we need to find the name of the property used by the teacher on those two expression.

While we looking into the question,

We have the give the two expressions:

They are

=> X (Y + Z) = X.Y + X.Z

=> X(Y.Z) = (X.Y)Z = X.Y.Z

When we take the first expression,

X (Y + Z) = X.Y + X.Z

That states that the distributive property of multiplication is used here and the process of the distribution property is the number outside the bracket is multiplied into each number within the bracket and the sign remains the same.

Similarly, when we take the second expression

X(Y.Z) = (X.Y)Z = X.Y.Z

That uses the associative property of multiplication which is the result of the multiplication of numbers is same even when the bracket is changed from one number to another.

Therefore, the first expression  X (Y + Z) = X.Y + X.Z uses the distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z uses the associative property of multiplication.

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Answer:

B

Step-by-step explanation:

Answer:

i hope its understood....

If A and B are independent, then the correct statements are P(A and B) = 0.12 and P(A or B) = 0.58.

Let's evaluate each statement:

P(B/A) = 0.4:

This statement is incorrect. If events A and B are independent, the occurrence of event A does not affect the probability of event B.

Therefore, P(B/A) would still be equal to the probability of B, which is 0.4 in this case.

P(A and B) = 0.12:

This statement is correct. The probability of the intersection of independent events A and B is calculated by multiplying their individual probabilities. In this case, P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12.

P(A/B) = 0.3:

This statement is incorrect. If events A and B are independent, the occurrence of event B does not affect the probability of event A. Therefore, P(A/B) would still be equal to the probability of A, which is 0.3 in this case.

P(A or B) = 0.58:

This statement is incorrect. To calculate the probability of the union of two events, we need to consider whether the events are mutually exclusive or not.

If events A and B are independent, but not mutually exclusive, we can calculate P(A or B) as P(A) + P(B) - P(A and B). In this case, P(A or B) = 0.3 + 0.4 - 0.12 = 0.58.

Therefore, the correct statements are:

The statements regarding P(B/A) = 0.4 and P(A/B) = 0.3 are incorrect in the context of independent events A and B.

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Answer: 32400in

Step-by-step explanation:

The calculation for the P-value of a hypothesis test about a population mean is based on the mathematical properties of the sampling distribution of the statistic. Option C is the correct answer.

The P-value, in hypothesis testing, is the probability of observing a test statistic at least as extreme as the one calculated from the observed data, assuming the null hypothesis to be true. The smaller the P-value, the less likely it is that the results observed are due to chance alone.

The significance level, alpha (α), is the threshold used to determine whether a P-value is statistically significant. A P-value of less than the significance level suggests that the null hypothesis should be rejected, and the data are statistically significant. To compute the P-value, one must first calculate the test statistic from the sample data.

The sampling distribution of the statistic under the null hypothesis is then employed to calculate the P-value. If the P-value is less than or equal to the significance level, we can reject the null hypothesis. If the P-value is greater than the significance level, we fail to reject the null hypothesis.

Therefore, c is correct.

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Answer: D

Step-by-step explanation:

Because 120 is the amount he already has know u need to see what x is and times that by 6 because it’s how many weeks.

Oh and when people send links as answeres there hackers.

Answer:

Step-by-step explanation:

If Sam has 120 dollars in his account and he wants to save the same amount each week

let x be the amount he wants to save each week

the expression will be

120+6x

To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.

The total charge can be obtained by integrating the charge density over the volume of the cylinder.

The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.

The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²

Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز

Applying this operator to the potential function V, we find:

∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز

To find the charge density, we substitute this expression into ρ = -∇²V:

ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز

To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:

Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV

The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.

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a) The affine transformation maps a square in the z-plane to a parallelogram in the w-plane.

b) The image of at least one square is again a square, then u + iv is a linear function of the variable z = x + iy.

Here, we have,

a) To show that an affine transformation converts a square of the plane z = x + iy into a parallelogram of the plane w = u + iv, we need to demonstrate that the four vertices of the square map to the vertices of a parallelogram under the given transformation.

Let's consider the vertices of the square in the z-plane:

A: z = x + iy = (x, y)

B: z = x + iy = (x + 1, y)

C: z = x + iy = (x + 1, y + 1)

D: z = x + iy = (x, y + 1)

Under the affine transformation, the corresponding points in the w-plane will be:

A': w = u + iv = (α₁x + B₁y + γ₁) + i(a₂x + B₂y + γ₂)

B': w = u + iv = (α₁(x + 1) + B₁y + γ₁) + i(a₂(x + 1) + B₂y + γ₂)

C': w = u + iv = (α₁(x + 1) + B₁(y + 1) + γ₁) + i(a₂(x + 1) + B₂(y + 1) + γ₂)

D': w = u + iv = (α₁x + B₁(y + 1) + γ₁) + i(a₂x + B₂(y + 1) + γ₂)

We can simplify these expressions:

A': w = (α₁x + B₁y + γ₁) + i(a₂x + B₂y + γ₂)

B': w = (α₁x + α₁ + B₁y + γ₁) + i(a₂x + a₂ + B₂y + γ₂)

C': w = (α₁x + α₁ + B₁y + B₁ + γ₁) + i(a₂x + a₂ + B₂y + B₂ + γ₂)

D': w = (α₁x + B₁y + B₁ + γ₁) + i(a₂x + B₂y + B₂ + γ₂)

By comparing the coordinates of the transformed points, we can observe that A'B' and CD are parallel and have the same length, while AB' and C'D' are also parallel and have the same length. This implies that the affine transformation maps a square in the z-plane to a parallelogram in the w-plane.

b) If the image of at least one square is again a square, then u + iv is a linear function of the variable z = x + iy.

If the image of a square in the z-plane is again a square in the w-plane, it means that the sides of the transformed parallelogram are parallel and have the same length. This can only occur if the coefficients of the affine transformation are such that the terms involving x and y cancel out in the expressions for u and v.

Considering the general expressions for u and v in terms of x and y:

u = α₁x + B₁y + γ₁

v = a₂x + B₂y + γ₂

To ensure that the transformed shape is a square, the coefficients of x and y should cancel out. This implies that α₁B₂ - a₂B₁ = 0.

If α₁B₂ - a₂B₁ = 0, we can rewrite the expressions for u and v as:

u = α₁(x + iy) + γ₁

v = B₂(x + iy) + γ₂

Notice that the terms involving x and y have completely canceled out. Therefore, the transformed shape can be expressed solely as a function of z = x + iy:

w = u + iv = α₁z + γ₁ + B₂z + γ₂ = (α₁ + B₂)z + (γ₁ + γ₂)

This shows that if the image of at least one square is again a square, then u + iv is a linear function of the variable z = x + iy.

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Answer:

------------------

Use the formula for the union of two sets:

In this case, we have:

Plugging these values into the formula:

Now, solve for |A ∩ B| (the number of elements in common):

So, sets A and B have 32 elements in common.

Answer:

Answer is 15.1

Answer:

7.1

Step-by-step explanation: i took the quiz

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Answer:

86 calories per serving

Step-by-step explanation:

430/5 =86

Alternate interior angles and interior angles are both types of angles that are formed by two parallel lines and a transversal intersecting them.

Interior angles are the angles that are formed on the inside of the parallel lines by the transversal. Alternate interior angles, on the other hand, are a pair of non-adjacent interior angles that are located on opposite sides of the transversal and on the inside of the parallel lines. In other words, alternate interior angles are interior angles that are not adjacent to the angle in question. The key difference between alternate interior angles and interior angles is their location. Interior angles are any angles that are formed on the inside of the parallel lines by the transversal, while alternate interior angles specifically refer to a pair of non-adjacent interior angles that are on opposite sides of the transversal. Understanding the difference between these two types of angles can be helpful in solving geometric problems involving parallel lines and transversals.

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Answer:

5/8ths

Step-by-step explanation:

Answer:

\(\frac{3}{8}\) + \(\frac{1}{6}\) = \(\frac{13}{24}\)

Step-by-step explanation:

3/8 + 1/6 = ?

9/24 + 4/24 = 13/24