Can any one help me with all these 3 questions? Thank you if you helped :)

These standardization methods are crucial in chromatography to ensure accurate quantification and comparability of results.

In chromatography, standardization methods are used to ensure accurate and reliable results by establishing reference points or calibration standards. Here are three common methods of standardization in chromatography: External Standardization: In this method, a set of known standard samples with known concentrations or properties is prepared separately from the sample being analyzed. These standards are then analyzed using the same chromatographic conditions as the sample. By comparing the response of the sample to that of the standards, the concentration or properties of the sample can be determined. Internal Standardization: This method involves the addition of a known compound (internal standard) to both the standard solutions and the sample. The internal standard should ideally have similar properties to the analyte of interest but be different enough to be easily distinguished. The response of the internal standard is used as a reference to correct for variations in sample preparation, injection volume, and instrumental response. Internal standardization helps improve the accuracy and precision of the analysis. Standard Addition: This method is useful when the matrix of the sample interferes with the analysis or when the analyte concentration is unknown. It involves adding known amounts of the analyte of interest to different aliquots of the sample. The response of the analyte is then measured, and the concentration is determined by comparing the response with that of the standards. The difference in response between the sample and the standards allows for the determination of the analyte concentration in the original sample.

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The volume of a rectangular prism is lwh unit cube.

A rectangular prism can be defined as a 3-dimensional solid shape that has 6 faces, with its base as rectangles.

The volume of a rectangular prism is given by, the product of its dimensions.

Let us consider length, width and height of the rectangular prism be l, w, h respectively,

Then, the volume will be = length x width x height

= l x w x h

= lwh

And its unit will be unit cube because there are 3 dimensions in the prism which are being multiplied.

Hence, the volume of a rectangular prism is lwh unit cube.

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The absolute value of the complex number |(2+4i) (5-1)| is 2√130.

To find the absolute value of a complex number, we take the modulus of the complex number. The modulus of a complex number z = a + bi is defined as the square root of the sum of the squares of its real and imaginary parts:

|z| = √(a² + b²)

In this case, we have the complex number (2+4i) multiplied by (5-1), which simplifies to:

(2+4i) (5-1) = (5+1)(2-4) = 6+22i

To find the absolute value of 6+22i, we calculate:

|6+22i| = √(6² + 22²) = √(36 + 484) = √520

Now, we can simplify the square root of 520:

√520 = √(4 × 130) = 2√130

Therefore, the absolute value of the complex number |(2+4i) (5-1)| is 2√130.

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Answer:

(0, 13)

Step-by-step explanation:

y=mx+b is representative where m is the slope and b is the y intercept. The b here is 13. On the graph, on the line where it crosses the y axis, the coordinates would be (0, 13).

Answer:

5

Step-by-step explanation:

\( \sqrt{29 - 4} \\ = \sqrt{25} \\ = 5\)

Explanation

By definition.

so

Let

hence

I hope this helps you

Answer:

22

Step-by-step explanation:

68/3=22 1/3

so they should each see 22 games and someone gets an extra game

Answer: B. 4x-2y=2

Step-by-step explanation:

We will work this out one by one. Plug in the x and y values of the solution to the equations and you will see which one is true or false.

A. \(2(1)+y(1)=2\\2+1\neq 2\)     B. \(4(1)-2(1)=2\\4-2=2\)

C. \(2(1)-2(1)=2\\2-2\neq 2\)     D. \(x(1)+y(1)=4\\1+1\neq 4\)

With this information, we see that B is the correct answer.

I hope this helped!! Pls mark brainliest!! :))

Total distance of the triathlon race is 23.34 kilometers.

Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

The total distance of the race is 23.34 kilometers.

Reg enters a triathlon race.

He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km

Total distance = 23.34 km.

The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.

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To find the equation for the line tangent to the parametric curve at the point where t=3, we need to find the values of x and y at t=3 and the corresponding slopes.

Given the parametric equations: x=t^3−9t and y=9t^2−t^4.

At t=3, we have:

x = (3)^3 - 9(3) = 0

y = 9(3)^2 - (3)^4 = 54

To find the slope at t=3, we need to find dy/dx:

dy/dt = 18t - 4t^3

dx/dt = 3t^2 - 9

dy/dx = (dy/dt) / (dx/dt)

      = (18t - 4t^3) / (3t^2 - 9)

At t=3, we have:

dy/dx = (18(3) - 4(3)^3) / (3(3)^2 - 9)

     = -6

Therefore, the slope of the tangent line at t=3 is -6. To find the equation of the tangent line, we use the point-slope form- y - 54 = (-6)(x - 0)

Simplifying  y = -6x + 54

So the equation of the tangent line at t=3 is y = -6x + 54x

For t=-3, we can repeat the same process to find the equation of the tangent line. However, since the curve is symmetric about the y-axis, the tangent line at t=-3 will have the same equation as the tangent line at t=3, except reflected across the y-axis. Therefore, the equation of the tangent line at t=-3 is y = 6x + 54.

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To find the eigenvalues and eigenvectors of a 2x2 matrix, follow these steps:

Calculate the characteristic equation by subtracting the identity matrix I multiplied by the scalar λ from matrix A, and set the determinant of this resulting matrix equal to zero. The characteristic equation is given by det(A - λI) = 0.Solve the characteristic equation to find the eigenvalues (λ).

Let's assume we have a 2x2 matrix A:

  | a  b |

A = | c d |

To find the eigenvalues, we need to calculate the characteristic equation:

det(A - λI) = 0,

where I is the 2x2 identity matrix and λ is the eigenvalue.

A - λI = | a-λ b |

| c d-λ |

The determinant of this matrix is:

(a-λ)(d-λ) - bc = 0,

which simplifies to:

λ² - (a+d)λ + (ad - bc) = 0.

This quadratic equation gives us the eigenvalues.

Solve the quadratic equation to find the values of λ. The solutions will be the eigenvalues.

Once you have the eigenvalues, substitute each value back into the equation (A - λI)v = 0 and solve for v to find the corresponding eigenvectors.

For each eigenvalue, set up the homogeneous system of equations:

(A - λI)v = 0,

where v is the eigenvector.

Solve this system of equations to find the eigenvectors corresponding to each eigenvalue.

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow the steps mentioned above. The characteristic equation gives the eigenvalues, and by solving the corresponding homogeneous system of equations, you can determine the eigenvectors.

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If the RMS value of the sinusoidal input to a full wave rectifier is Vo / (2)^(1/2) then the RMS value of the rectifier’s output is  \(Vo * (2)^(1/2) / 2.\)

Full wave rectifier length = Vo / (2)^(1/2)

The peak value of the output voltage = Vo.

For a full-wave rectifier, the outcome voltage is the whole value of the input voltage.

The RMS value of a sinusoidal waveform can be calculated using the formula:

Vrms = Vp / \((2)^(1/2)\)

Vrms = Vo / \((2)^(1/2)\)

To simplify this equation, we can multiply both the numerator and the denominator by (2)^(1/2):

\(Vrms = (Vo / (2)^(1/2)) * ((2)^(1/2)/(2)^(1/2))\)

\(Vrms = Vo * (2)^(1/2) / 2\)

Therefore, we can conclude that the RMS value of the rectifier's output is \(Vo * (2)^(1/2) / 2.\)

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Answer: 48x-12

Step-by-step explanation:

Answer:

X=-4

Step-by-step explanation:

6 times 8x = 48x

6 times -2 = -12

divide 48x by -12

you get -4

Take the square root of each side.

\(\sf \sqrt{x^{2} } =\sqrt{25} \\\\\\ x=\± 5\)

Answer:2/3

Step-by-step explanation:There are 52 cards in a standard deck: 13 ordinal cards (Ace - 10, Jack, Queen, King) and 4 of them - one to each suit (hearts, diamonds, clubs, spades) and so we have

4

×

13

=

52

.

There are 8 cards that fit the question (4 each of aces and kings).

And so in a random draw, the odds of drawing one of those 8 cards out of the total number of 52 is:8/52

which we can simplify:

8/52=2/13

Answer:

I think it will help you

Answer:

please give the complete question..

Step-by-step explanation:

please give the complete question..

The circle intersects the x-axis at x = -17 and x = 17 and y-axis at y = -17 and y = 17.

To determine where the circle intersects the x-axis and y-axis when the point (8,15) lies on a circle centered at (0,0), we can use the equation of a circle.

The equation of a circle with center (h, k) and radius r is given by:

\((x-h)^{2}\) + \((y-k)^{2}\) = \(r^{2}\)

In this case, the center of the circle is (0,0), so the equation becomes:

\(x^{2}\) + \(y^{2}\) = \(r^{2}\)

Substituting the point (8,15) into the equation, we have:

\(8^{2}\) + \(15^{2}\) =  \(r^{2}\)

64 + 225 =  \(r^{2}\)

289 =  \(r^{2}\)

Taking the square root of both sides, we find:

r = 17

Therefore, the equation of the circle is:

\(x^{2}\)  +  \(y^{2}\)  = \(17^{2}\)

Now, to determine where the circle intersects the x-axis, we set y = 0 in the equation:

\(x^{2}\)  + \(0^{2}\) = \(17^{2}\)

\(x^{2}\)  = 289

Taking the square root, we find:

x = ±17

So, the circle intersects the x-axis at x = -17 and x = 17.

To determine where the circle intersects the y-axis, we set x = 0 in the equation:

\(0^{2}\) +  \(y^{2}\)  = \(17^{2}\)

\(y^{2}\)  = 289

Taking the square root, we find:

y = ±17

Thus, the circle intersects the y-axis at y = -17 and y = 17.

By substituting the point (8,15) into the equation of the circle, we were able to determine its radius. Then, by setting y = 0 and x = 0 in the equation, we found the points where the circle intersects the x-axis and y-axis.

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Answer:

11 pennies and 1 nickel

Step-by-step explanation:

11 pennies and 1 nickel is a combination of 12 coins.

-> If there is more context, please include it.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The solution to the inequality x/3 ≤ -6 is x ≤ -18. This means that any value of x that is less than or equal to -18 will satisfy the inequality.

To solve the inequality x/3 ≤ -6, we can start by multiplying both sides by 3, since the inequality sign does not change direction when we multiply or divide by a positive number:

x/3 ≤ -6

3 * (x/3) ≤ 3 * (-6)

x ≤ -18

Therefore, the solution to the inequality x/3 ≤ -6 is x ≤ -18. This means that any value of x that is less than or equal to -18 will satisfy the inequality.

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Answer:The y-intercept is (0,10)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (ln(11),0)

y-intercept(s): (0,10)

If you make a Type I error in this case, you will incorrectly reject the null hypothesis and conclude that the water is safe to drink. As a result, you may end up drinking contaminated water, which could lead to illness or other health problems.

In hypothesis testing, a Type I error occurs when you reject the null hypothesis even though it is true. In the given scenario, the null hypothesis is that the water in the stream is not safe to drink, and the alternative hypothesis is that it is safe.

If you make a Type I error, you would incorrectly conclude that the water is safe to drink, even though it may be contaminated with harmful bacteria or chemicals.

The consequences of drinking contaminated water can be severe, ranging from mild stomach upset to more serious health problems like diarrhea, vomiting, and even death.

Therefore, it is crucial to conduct thorough testing and analysis of the water to ensure its safety before consuming it.

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Answer:

x= -b ±√b²- 4ac/2a

Step-by-step explanation:

ax2 + bx + c = 0

Dividing the quadratic equation by a gives

x2 + b/ax + c/a = 0

x2 + b/ax = - c/a

Applying the square formula

(x)^2 + 2(x) (b/2a) + (b/2a)^2= + (b/2a)^2- c/a

(x+b/2a)^2= b²/4a² - c/a

(x+b/2a)^2= b²/4a² - 4ac/4a²

(x+b/2a)^2= b²- 4ac/4a²

Taking square root of both sides gives

(x+b/2a)= ±√b²- 4ac/2a

x= -b/2a±√b²- 4ac/2a

x= -b ±√b²- 4ac/2a

This is called the quadratic formula and it can solve the value for x for the given value of a, b and c for the quadratic equation.

From this it is concluded that

Discriminant = b2 - 4ac > 0 means there will be two distinct real roots. Discriminant = b2 - 4ac = 0 means there will be only one real root. Discriminant = b2 - 4ac < 0 means there will be no real roots.

This is because a square root of a value greater than 0 is possible and gives two values for roots of x.

The square root of a value less than 0 gives a negative number and therefore the roots are an imaginary number.

The square root of a value greater equal to 0 gives a zero leaving behind only one real root.

Answer:

he filled 10 bags on sunday

Step-by-step explanation:

if each bag weighs 5 pounds, and he filled 2 on Saturday he used 10 pounds already. that would leave 20 pounds left, 20 ÷ 2 = 10

Answer:

x= 5/2 is the answer

The length along the side of the barn of this rectangular plot is 150 feet.

The rectangle's area is the area enclosed by its perimeter and equals the product of its length and width. The space that is occupied within the boundaries of a rectangle is known as its area. It is calculated by finding the length divided by the width.

In order to maximize the area of the rectangular plot, the length of the fence will be twice the length of the width. Therefore, the width is 75 x 4 / 3 feet = 100 feet (since there are 75 sections of 4 feet each, and 3 sides of the rectangle are fenced, not just 2).

The length is twice the width, so the length is 2 x 100 feet = 200 feet.

Since the barn forms one side of the rectangle, the length along the barn is 150 feet (200 - 50 = 150).Thus, the length along the side of the barn of this rectangular plot is 150 feet.

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Answer:

sinθ = \(\frac{8}{10}\)

Step-by-step explanation:

sinθ = \(\frac{opposite}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{8}{10}\)

Answer:

sin theta=p/h

=BC/AC

=8cm/10cm

=4cm/5cm

Hope it helps you.

By determining in triangle MPQ,  NR || PQ, if QM= 31, RM= 21 and PM= 4PN , \(\frac{PN}{NM} \neq \frac{QR}{RM}\) , So correct option is A.

A triangle is a three-sided polygon that consists of three line segments, or sides, that intersect at three points, or vertices. Triangles are one of the fundamental shapes in geometry and have numerous properties and applications in mathematics, science, and engineering.

Triangles can be classified based on the lengths of their sides and the measures of their angles. Triangles with three equal sides are called equilateral triangles, while triangles with two equal sides are called isosceles triangles. Triangles with no equal sides are called scalene triangles. Triangles can also be classified based on the measures of their angles, with acute triangles having all angles less than 90 degrees, obtuse triangles having one angle greater than 90 degrees, and right triangles having one angle equal to 90 degrees.

The Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides, is a fundamental concept in trigonometry and has numerous practical applications.

Overall, triangles are an important shape in mathematics and have many practical applications in fields such as engineering, architecture, and physics.

As shown in the question:

QM= 31, RM= 21, PM= 4PN

So RQ= 31-21= 10

\(\frac{PN}{NM} = \frac{1}{3}\\\)

\(\frac{QR}{RM}= \frac{10}{21}\)

So, \(\frac{PN}{NM} \neq \frac{QR}{RM}\)

NR and PQ are not parallel .

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The complete question is:

Answer:

y = 4x + 10

Step-by-step explanation:

2y - 8x = 20 ( add 8x to both sides )

2y = 8x + 20 ( divide through by 2 )

y = 4x + 10

Answer: y=4x+10

Step-by-step explanation: