if Y co-ordinate of a point is zero then this point always lies​

Answer: x+6

Step-by-step explanation:

The mathematical statement is an inequality that can be written as:

26  > k

Here we have the following mathematical statement:

"26 is more than k"

This type of statement is what we know as an inequality, this is a comparation between two values.

Here, the statement says that the number 26 is a number larger than k, which is a variable.

This statement will be written as:

26 > k

Where the symbol ">" means that the thing in the left is larger than the thing in the right,

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All of the mentioned hypotheses can potentially explain the cause of hypervolemia in a patient.


1. High aldosterone secretion: Increased aldosterone secretion leads to excessive salt reabsorption, causing water retention to maintain salt concentration balance.
2. Insufficient natriuretic peptides: When there are too few natriuretic peptides released, the stretching of the atria due to excess water volume does not inhibit ADH or aldosterone, causing hypervolemia.
3. Excess antidiuretic hormone secretion: Over-secretion of antidiuretic hormone results in excessive water retention and stimulation of thirst centers, leading to hypervolemia.

Hypervolemia can be caused by various factors, including increased aldosterone secretion, insufficient natriuretic peptides, and excess antidiuretic hormone secretion. Identifying the specific cause in a patient requires further examination and testing.

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Answer:Empirical probabilities.
PLS MARK ME AS BRAINLY

given angle pair forms co - exterior angle pair. and are supplementary.

x + 8 + 3x + 2 = 180

4x + 10 = 180

4x = 170

x = 42.5°

To determine the volume of the missing side of the prism, we need more information about the shape and dimensions of the prism. The volume alone is not sufficient to determine the specific measurements of the missing side.

A prism is a three-dimensional shape with two parallel and congruent bases connected by rectangular faces. It can have various dimensions, such as length, width, and height. To find the missing side, we typically need at least two of these dimensions or additional information about the shape.

If you can provide more details about the prism, such as its shape or the measurements of the known sides, I will be able to assist you in finding the volume of the missing side.

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(a) The IQ needed to be a member of Mensa is approximately 131.2.

(b) The probability that a randomly selected student from a university with all students having an IQ over 120 has an IQ above the threshold for Mensa membership can be calculated using the z-score for 131.2.

(c) The probability that a random person's IQ is above 120 can also be calculated using the z-score for 120.

To determine the IQ needed to be a member of Mensa, we can use the fact that IQ scores are normally distributed with a mean of 100 and a standard deviation of 16. Since Mensa members are in the top 2% of IQ scores, we need to find the IQ score that corresponds to the 98th percentile.

(a) To find the IQ needed to be a member of Mensa, we can use a standard normal distribution table or a statistical calculator to find the z-score associated with the 98th percentile. The z-score represents the number of standard deviations a particular value is from the mean.

Using the table or calculator, we find that the z-score corresponding to the 98th percentile is approximately 2.05. We can then use the formula for z-score conversion to find the corresponding IQ score:

IQ = (z-score * standard deviation) + mean

   = (2.05 * 16) + 100

   = 131.2

Therefore, an IQ of approximately 131.2 or higher is needed to be a member of Mensa.

(b) Given that all students at a particular university have an IQ over 120, we want to find the probability that a randomly selected student from this university has an IQ above the threshold needed for Mensa membership (131.2).

We can use the standard normal distribution table or calculator to find the z-score for an IQ of 131.2. Then, we can calculate the probability of selecting a student with an IQ above this threshold by finding the area under the normal curve to the right of the z-score.

(c) To find the probability that a random person's IQ is above 120, we can again use the standard normal distribution. We need to find the z-score for an IQ of 120 and calculate the area under the normal curve to the right of this z-score.

Note: The actual calculations for (b) and (c) are not provided in this answer, but they can be easily performed using a standard normal distribution table or a statistical calculator.

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Answer:

a3 + b3 = a3 + b3

Step-by-step explanation:

I'm not sure what you are asking for but this equation is true if that's the problem.

Multiply all the variables and then combine like terms.

On the left side we end out as a3 + b3 which is equal to the right side. Hope this helps!

Answer:

question 6 would be C=(2,7) question 7 would be C (10,-1)

Step-by-step explanation:

Answer:

Five hundred twenty-five thousand six hundred

Step-by-step explanation: I am assuming you mean word form?

Answer:

five hundred twenty-five thousand, six hundred

Step-by-step explanation:

Answer:

here is your answer

Step-by-step explanation:

SSS

RHS

SAS

AAS

Answer: I think it’s D

Step-by-step explanation:

Answer:

The domain is a set/group of x-values. The range is a set/group of y-values. The first option is not true because there are x-values which are greater than 0 (right side of graph). The second option is not true because the set of y-value stops before it hits the y=0. The third option is not true because there are no y-values which are less than 0 (bottom of graph). The fourth option is correct because the x-values stretch from -infinity on the left side of the graph to positive infinity of the right side of the graph.

:)

Answer:

The complement of a 90° angle is a 0° angle.

Answer:

The complement of a 90° angle is a 0° angle.

Step-by-step explanation:

To get complement of any angle we subtract it with 90°.

Answer:

we need to know how many students are in the class

if there are more boys, than the probability of picking a boy is higher, and if there is more girls, the probability of picking a girl is higher and if the amount of boys and girls are the same, then the probability of picking a girl or a boy is the same.

Step-by-step explanation:

Please mark my answer as brainliest

Answer:

it is 6

Step-by-step explanation:

c = 10

Step-by-step explanation:

We can find out the missing side of a right triangle by using the Pythagorean theorem.

The Pythagorean theorem is...

\(a^2+b^2=c^2\)

We can even double check the first problem by plugging in everything into the theorem and solving, everything will come out correct. We can plug in the numbers from the second problem into the theorem and find c, also please note that the hypotenuse of a triangle will always be c. It doesn't matter which you put in for a or b, but since the problem gives us which one is a and which one is b, I'll just be plugging it in like that.

\(6^2+8^2=c^2\)

\(36+64=c^2\)

\(100=c^2\)

A lot of people will stop here and think that the answer is 100, but you need to find the square root of 100, since c is squared. The square root of 100 is 10, so...

c = 10

The function h(x) is defined as shown below:

\($$h(x) = \begin{cases} x+2, & \text{if }x <3 \\ -x+8, & \text{if }x\ge3 \end{cases}$$\)

So, option A is the correct answer.

To find the range of h(x), we will analyze the value of h(x) at different values of x. We will start with values less than 3 and then move to values greater than or equal to 3.

Case 1: x < 3 For values of x less than 3, h(x) is given by:

h(x) = x + 2

For minimum value of x (approaching negative infinity), h(x) approaches negative infinity.

For maximum value of x (approaching 3 from left), h(x) approaches 5. So, the range of h(x) for x < 3 is:

-∞ < h(x) <5 Case 2: x ≥ 3

For values of x greater than or equal to 3, h(x) is given by:

h(x) = -x + 8

For minimum value of x (approaching 3 from right), h(x) approaches 5.

For maximum value of x (approaching infinity), h(x) approaches negative infinity.

So, the range of h(x) for x ≥ 3 is: 5 ≤h(x) <∞

Therefore, the range of h(x) is: -∞ < h(x) < ∞

This is equivalent to option A. So, option A is the correct answer.

Note: When the range of a function is the set of all real numbers, we can also represent it as "(-∞, ∞)" or "ℝ".

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In the basis step of the mathematical induction proof for P(n), we show that the equation is true for n = 1. The equation of the inductive hypothesis (IH) is P(k), where k is an arbitrary natural number. In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true.

In the basis step, we substitute n = 1 into the equation 11⋅2+12⋅3+⋅⋅⋅+1n⋅(n+1)=nn+1. This gives us the equation 1⋅2 = 1+1, which is true.

The inductive hypothesis (IH) is denoted as P(k), where k is an arbitrary natural number. We assume that P(k) is true, meaning that 11⋅2+12⋅3+⋅⋅⋅+1k⋅(k+1)=kk+1 holds.

In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true. This involves substituting n = k+1 into the equation 11⋅2+12⋅3+⋅⋅⋅+1n⋅(n+1)=nn+1 and demonstrating that the equation holds for this value. The specific equation we need to show in the inductive step is 11⋅2+12⋅3+⋅⋅⋅+1(k+1)⋅((k+1)+1)=(k+1)(k+1+1).

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In the basis step, we need to show that the equation P(1) is true. The equation of the inductive hypothesis (IH) is P(k), where k is any natural number greater than or equal to 1. In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true.

To prove the equation P(n): 11⋅2 + 12⋅3 + ... + 1n⋅(n+1) = n(n+1) using mathematical induction, we follow the two-step process.

1. Basis Step:

We start by showing that the equation is true for the base case, which is n = 1:

P(1): 11⋅2 = 1(1+1)

Simplifying, we get: 2 = 2, which is true.

2. Inductive Step:

Assuming that the equation is true for some arbitrary value k, the inductive hypothesis (IH) is:

P(k): 11⋅2 + 12⋅3 + ... + 1k⋅(k+1) = k(k+1)

In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true:

P(k+1): 11⋅2 + 12⋅3 + ... + 1k⋅(k+1) + 1(k+1)⋅((k+1)+1) = (k+1)((k+1)+1)

By adding the (k+1)th term to the sum on the left side and simplifying the right side, we can demonstrate that P(k+1) is true.

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Answer:

 6 just 6 Your welcome !!

Step-by-step explanation:  

The difference in their earnings could be as low as $-50 or as high as $150, indicating that there is some level of risk involved in choosing one over the other.

Based on the given information, we can determine that Jennie charges $200 per passenger for a sunset sailing tour on her catamaran, while Paul charges $250 per passenger.

We can define the amount of money each person earns per cruise as a random variable. Using this information, we are given the mean and standard deviation of the amount earned by Jennie, represented by Mu Subscript B = $962.5 and Sigma Subscript B = $253.425, respectively.

To determine the difference in earnings between Jennie and Paul, we need to calculate the standard deviation of the difference between the two earnings, represented by Sigma Subscript A minus B.Using the formula for the standard deviation of the difference between two random variables, we can calculate that Sigma Subscript A minus B = $318.32.

This means that there is a significant amount of variability in the difference between the earnings of Jennie and Paul.

Given that the difference in price is relatively small, customers may be more likely to choose the less expensive option, resulting in more customers for Jennie.

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Answer:

Step-by-step explanation:

h=√[34²-24²]=√[(34-24)(34+24)]=√[10×58]=√(5×29)=√145 ≈12 m

The height of the building is 10 meters.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Let's call the height of the building "h".

We can use the Pythagorean theorem to relate the height, shadow, and hypotenuse of the right triangle:

h² + 24² = 34²

Simplifying and solving for h.

h² = 34² - 24²

h² = 676 - 576

h² = 100

h = 10

Therefore,

The height of the building is 10 meters.

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The exact value of side lengths of triangle are d= \(\frac{8}{\sqrt{3} }\) and h=\(\frac{5\sqrt{2} }{2}\)

A triangle is a closed, two-dimensional shape that consists of three straight sides and three angles. It is one of the basic shapes in geometry and is often used in various mathematical and scientific contexts.

The three sides of a triangle are usually named using lowercase letters a, b, and c, and the three angles are named using uppercase letters A, B, and C, with the opposite angles and sides having the same letter. The sum of the angles in a triangle is always 180 degrees, and this property is known as the Angle Sum Theorem.

Triangles can be classified based on their side lengths and angles. Based on the side lengths, triangles can be classified as:

Scalene triangle: A triangle in which all three sides have different lengths.

Isosceles triangle: A triangle in which two sides have the same length, and the third side has a different length.

Equilateral triangle: A triangle in which all three sides have the same length.

Let's start with the first triangle. We can use the trigonometric ratios for a 30-60-90 triangle:

sin(60) = opposite / hypotenuse = d / (2d) = \(\frac{1}{2}\)

cos(60) = adjacent / hypotenuse = 4 / (2d) = \(\frac{1}{2\sqrt{3} }\)

Solving for d:

d = 2 * sin(60) = 2 *\(\frac{1}{2}\)  = 1

2d = 4 / cos(60) = \(\frac{4}{\frac{1}{2\sqrt{3} }}\) = \(\frac{8}{\sqrt{3} }\)

So d = 1 and 2d = \(\frac{8}{\sqrt{3} }\) in the first triangle.

For the second triangle, we can use the trigonometric ratios for a 45-45-90 triangle:

sin(45) = opposite / hypotenuse = \(\frac{h}{5}\)

cos(45) = adjacent / hypotenuse = \(\frac{h}{5}\)

Since sin(45) = cos(45) = \(\frac{1}{\sqrt{2} }\), we can solve for h:

h = 5 * sin(45) = 5 * \(\frac{1}{\sqrt{2} }\) = \(\frac{5\sqrt{2} }{2}\)

So h =  \(\frac{5\sqrt{2} }{2}\) in the second triangle.

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Answer:

1,643,865,595

Step-by-step explanation

you just add them all together. Hope this helped!

Answer:

60 mins

Step-by-step explanation:

15+45=60

The time needed to make 138 pancakes if both Mark and Charlotte work together is 227.142 minutes.

A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25.

As it is given that Mark can make 9 pancakes in 15 minutes, therefore, the number of pancakes that Mark can make in one minute,

\(\text{Number of Pancake in one minute} = \dfrac{9}{15}\)

Now, for Charlotte, it is given that he makes 42 pancakes in 45 minutes, therefore, the number of pancakes that Charlotte can make in one minute,

\(\text{Number of Pancake in one minute} = \dfrac{42}{45} = \dfrac{12}{15}\)

Further, the total pancakes that can be made in one minute,

\(\text{Total Number of Pancake in one minute} = \dfrac{9}{15} +\dfrac{12}{15} = \dfrac{21}{15}\)

As they both need to make 138 pancakes together, therefore, the time they need is,

\(\rm Time\ Needed = \dfrac{\text{Total number of pancakes}}{\text{Total number of pancakes in one minute}}\)

\(\rm Time\ Needed = \dfrac{138}{\frac{21}{15}} = \dfrac{138\times 15}{21} = 227.142\)

Hence, the time needed to make 138 pancakes if both Mark and Charlotte work together is 227.142 minutes.

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Answer:

the square root of 5.494 is 2.34

Step-by-step explanation:

The computation of the square root of 5.494 is as follows"

According to the question it is mentioned that

The number is 5.494

Now the square root of the above number is

\(\sqrt{5.494}\)

= 2.34

Hence, the square root of 5.494 is 2.34

Therefore the same is to be considered

False, The eigenvalues of a matrix A are not same as the eigenvalues of the reduced row echelon form of A.

A matrix's eigenvalues are not the same as those of the matrix's reduced row echelon form, contrary to what is claimed.

This is due to the fact that when a matrix is reduced to its echelon form via row operations, its eigenvalues may not always stay the same. The eigenvalues of a matrix may be different in the reduced row echelon form than they are in the original matrix as a result.

Think about these matrices as an illustration:

Likewise, B's reduced row echelon form is B, and B's eigenvalues are both 1.

A = [1 2; 2 1]

and

B = [1 0; 0 1].

The eigenvalues of a matrix and its reduced row echelon form are thus typically not the same.

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FALSE. The eigenvalues of a matrix A are NOT the same as the eigenvalues of the reduced row echelon form of A.

Explanation:

Eigenvalues are scalar values that, when multiplied by an eigenvector, produce the same effect as the original matrix A on that eigenvector. Mathematically, for a matrix A and its eigenvector v, Av = λv, where λ is the eigenvalue.

Row echelon form is a matrix transformation using elementary row operations to obtain a triangular form. The reduced row echelon form (RREF) is a further simplified version of the row echelon form.

However, transforming a matrix A to its RREF changes the properties of the matrix, and therefore the eigenvalues of matrix A and its RREF are generally not the same. The eigenvalues are preserved only under specific matrix transformations, such as similarity transformations, which row echelon form is not one of them.

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The correct statements about the synthetic division are C, D, F.

Synthetic division can be defined as a simplified way of dividing a polynomial with another polynomial equation of degree 1 and is generally used to find the zeroes of polynomials.

How to illustrate the information?

It should be noted that 4x² - 17x - 15 will be:

= 4x² - 20x - 3x - 15

= (x - 5)(4x + 3)

The roots of the polynomial will be:

= f(x) = 0

(x - 5) = 0

x = 5

4x + 3 = 0

x = -3/4

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The value of x is 120° .

Given,

In triangle HGF,

HF and FG and are equal in length and ∠G is 60° .

Now,

If the sides are equal there angles will be equal.

So,

FG and FH are equal thus angle ∠H will be equal to 60° .

Sum of all the interior angles of triangle is 180° . Thus ∠F will be equal to 60° .

Now,

∠H and x° will form linear pair.

∠H + x°  = 180°

x = 120° .

Hence all the angles of the triangle are obtained.

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