When solving the equation, which is the best first step to begin to simplify the equation? -2(x+3)=-10

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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 values of x, y, and z in the given rhombus are: x = -31, y = 20, z = -87.

An equation is a mathematical statement saying that two amounts or values are the same, for example 6 x4=12x

We know that the side of a rhombus are equal in length.therefore we can solve the given equation

4y + 8 = -3x - 5 = -z + 1 = 88

Solving each equation for the variables, we get:

4y + 8 = 88

4y = 80

y = 20

-3x - 5 = 88

-3x = 93

x = -31

-z + 1 = 88

-z = 87

z = -87

Heance , the values of x, y, and z in the given rhombus are:

x = -31, y = 20, z = -87.

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Answer:

3x+12=57 x= how many days

Step-by-step explanation:

Answer:

C. 3d=45

Step-by-step explanation:

subtract 57-12= 45 n if u multiply 3x15=45 so 3(15)=45

Answer:

Step-by-step explanation: is (2 b)

Answer:

4.2

Step-by-step explanation:

Subtract 20.5 from 24.7

 20.5

- 24.7

-----------

   4.2

Hope this helped :)

Answer:

4.2

Step-by-step explanation:

24-20=4. .7-.5=.2. 4+.2=4.2

The number 48.050 has five significant figures.

What do you mean by an Significant figures?

Significant figures are the number of digits that add to the correctness of a value, frequently a measurement. The first non-zero digit is where we start counting significant figures. Determine how many significant digits there are given a range of numbers.

Significant figures, also known as significant digits, are the digits in a measurement or a number that carry meaning contributing to its precision. In this case, the number 48.050 has four non-zero digits (4,8,0,5) and one zero (0) between two non-zero digits, which are significant figures.

The trailing zero after the decimal point does not affect the significant figures, it is simply a placeholder to indicate the number is less than one and has a magnitude of 0.050.

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Based on the percent gratuity to the florist and the cost being rounded to the nearest ten, the amount of the tip is $9

When the cost for the florist is rounded to the nearest 10, it goes from $94 to $90.

When the percentage gratuity is rounded to the nearest ten, it goes from 12% to 10%.

The approximate tip is:

= 10% x 90

= $9

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Answer:

The answer is D

Step-by-step explanation:

Trust Me

I just took the test...

Answer:

D

Step-by-step explanation:

Answer:

4%

Step-by-step explanation:

He earned 120/year (360/3-120)

determine interest rate

120/3000=.04 0r 4%

Answer:

Hi there!

Your answer is:

B) 25/100 × 64

C) .25× 64

Step-by-step explanation:

25% of 64 is

100% is 64

/100

1% is .64

× 25

25% of 64 is 16!

A) 25× 64 = 1600 NO

B) 25/100 × 64 = 16 YES ✓

C) .25 × 64 = 16 YES✓

D) 64 ÷ 25/100= 256 NO

E) 25÷ 64/100= 39.0625 NO

Hope this helps!

The rate at which Ben cycles, if Andy cycles at 12 kmph is 48 kmph.

The formula for finding the rate at which Ben cycles, if Andy cycles at 12 kmph, is given by:

Ben's rate = Andy's rate x Time taken by Ben ÷ Time taken by Andy

Therefore, Ben's rate = 12 kmph x (52/3) hours ÷ (13/3) hours

Ben's rate = 48 kmph

To calculate Ben's rate, we first need to calculate the time taken by each of them. Andy sets out to cycle from Delhi to Rohtak, and Ben starts from Rohtak to cycle to Delhi. After passing each other, they completed their journey in (13/3) hours and (52/3) hours respectively.

We can calculate the rate at which Ben cycles as follows:

Calculate the time taken by each of them.

Time taken by Andy = 13/3 hours

Time taken by Ben = 52/3 hours

Calculate Ben's rate using the formula given above.

Ben's rate = 12 kmph x (52/3) hours ÷ (13/3) hours

Ben's rate = 48 kmph

Therefore, the rate at which Ben cycles, if Andy cycles at 12 kmph is 48 kmph.

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Step-by-step explanation:

To find this algebraic phrase, we need to use the rules of algebra to express the given statement in mathematical notation. The given statement says that the sum of three times the opposite of a number and -7 is some unknown value.

We can start by expressing the opposite of a number in mathematical notation. The opposite of a number is equal to the number multiplied by -1. So, we can write the opposite of a number as -x.

Next, we can express the fact that the opposite of a number is being multiplied by 3. To do this, we can simply write 3(-x) to represent three times the opposite of a number.

Finally, we can express the fact that -7 is being added to the result. To do this, we can simply write 3(-x) - 7 to represent the sum of three times the opposite of a number and -7.

Therefore, the algebraic phrase for the sum of three times the opposite of a number and -7 is 3(-x) - 7.

The required sample size is equal to 273.

We have given that,

A political candidate has asked you to conduct a poll to determine what percentage of people support her.

We have to determine the If the candidate only wants an 8% margin of error at a 99% confidence level,

p=0.5 (default since no value is given)

q=1-0.5=0.5

margin of error=5%=0.05

z_c=1.65 at 90% confidence.

The margin of error:

\(e= sqrt(p(1-p)/n)*z_c\)

Use the given value in the above formula we get,

0.05=sqrt(0.5*0.5/n)*1.65

n= (0.5*1.65/0.05)^2=272.25

Therefore, The required sample size is equal to 273.

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Answer:

2 Ounces.

Step-by-step explanation:

Each rocket must weigh 4 pounds or less.

Therefore: 4 Pounds =16 X 4=64 Ounces

Since Hectors rocket weighs 62 ounces and he cannot exceed 64 Ounces, the weight of the most paint he can use is:

64-62=2 Ounces.

He can use paint that weights at most 2 Ounces.

Using fraction formula,

Each person will receive 1/2 part of left over pizzas .

Fraction : In Mathematics, a fraction defined as the part of the whole thing. For example, a cake is divided into 5 equal pieces, then each piece is denoted by ¼.

We have given that,

After party , 4+1/2 pizzas left over .

number of peoples among spliting of pizza happened = 9

Assume there is x pizzas .

left over part = (4+ 1/2 ) = 9/2

ate by other = 1- 9

9/2 pizzas is divided into 9 people's = 9/2 /9

= 1/2

thus , each person will receive 1/2 of left over pizzas i.e( 4+ 1/2 ).

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Answer: 0. 92 = 92%

100% = 500

92% = 500 × 92/100 = 460

Step-by-step explanation:

Answer/Step-by-step explanation:

The first equation is confusing so I'll solve both ways:

Addition

1. -4x + 2y = -12

   4x + 8y = -24

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

            10y = -36

          ÷10      ÷10

        --------------------

              y = -3.6

4x + 8y = -24

4x + 8(-3.6) = -24

4x - 28.8 = -24

     +28.8    +28.8

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

      4x = 4.8

    ÷4     ÷4

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

   x = 1.2

If the first equation is subtraction this is the solution:

2. -4x - 2y = -12

   4x + 8y = -24

 ------------------------

            6y = -36

           ÷6      ÷6

         -------------------

                y = -6

4x + 8y = -24

4x + 8(-6) = -24

4x - 48 = -24

     +48    +48

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

4x = 24

÷4   ÷4

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

x = 6

(6, -6)

I hope this helps!

Answer:

2430kg

Step-by-step explanation:

3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430

Answer:

B = -1189/40

C = -13/18

Step-by-step explanation:

use your calculator to solve

and use the BODMAS method to help solve

Answer:

4

Step-by-step explanation:

the ratio is 8/5, so the inverse would be 5/8, then it went up to 10, so it would be 10/4

The lighter pumpkin weighs 3.12 kg, and the heavier pumpkin weighs 6.24 kg.

To solve this, we'll use the given information to set up an equation and then solve for the weight of each pumpkin.
Let the weight of the lighter pumpkin be x kg.

Since the heavier pumpkin is twice the weight of the lighter one, its weight would be 2x kg.
The combined weight of both pumpkins is 9.36 kg, so we can write an equation as follows:
x + 2x = 9.36
Now, we'll solve for x:
3x = 9.36
x = 9.36 / 3
x = 3.12 kg
Now that we have the weight of the lighter pumpkin (x = 3.12 kg), we can find the weight of the heavier pumpkin:
2x = 2(3.12) = 6.24 kg.

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The perimeter of the rectangle, when the area is maximized, is approximately 24.63 units. Therefore, correct option is a.

To maximize the area of the rectangle inscribed in the parabola \(y^2 = 16x\), we need to find the dimensions of the rectangle. Since the side of the rectangle is along the latus rectum of the parabola, we know that the length of the rectangle is equal to the latus rectum.

The latus rectum of the parabola \(y^2 = 16x\) is given by the formula 4a, where "a" is the distance from the focus to the vertex of the parabola. In this case, the focus is located at (4a, 0).

To find "a," we can equate the equation of the parabola to the general equation of a parabola in vertex form: \(y^2 = 4a(x - h)\), where (h, k) is the vertex of the parabola.

Comparing the two equations, we get:

4a = 16

a = 4

Therefore, the latus rectum of the parabola is 4a = 4 * 4 = 16 units.

Since the length of the rectangle is equal to the latus rectum, we have length = 16 units.

Now, to find the width of the rectangle, we need to determine the corresponding y-coordinate on the parabola for the given x-coordinate of the latus rectum. The x-coordinate of the latus rectum is half the length, which is 16/2 = 8 units.

Substituting x = 8 into the equation of the parabola, we get:

\(y^2 = 16(8)\\y^2 = 128\\y = \sqrt{128} = 11.31\)

Therefore, the width of the rectangle is approximately 11.31 units.

The perimeter of the rectangle is given by the formula:

Perimeter = 2(length + width)

Plugging in the values, we have:

Perimeter = 2(16 + 11.31)

Perimeter ≈ 2(27.31)

Perimeter ≈ 54.62

Rounding the perimeter to two decimal places, we get approximately 54.62 units, which is equivalent to 24.63 units.

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Answer: I think it would be Decrease but I may not be correct

If m is a nonzero integer, then m^(1/m) is not always greater than 1.

The statement is false.

To determine if m^(1/m) is greater than 1, we can consider different values of m. For positive values of m, such as m = 2, m^(1/m) = 2^(1/2) = √2, which is approximately 1.414 and greater than 1.

However, if we consider negative values of m, such as m = -2, m^(1/m) = (-2)^(1/(-2)) = (-2)^(-1/2), which is equal to 1/√(-2). Since the square root of a negative number is not defined in the real number system, the value of m^(1/m) is not defined for negative values of m.

Therefore, the statement that m^(1/m) is always greater than 1 for nonzero integers m is false.

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Answer:

s=29

Step-by-step explanation:

==========================================================

Work Shown

Rule: The three interior angles of any triangle always add to 180

(angle1)+(angle2)+(angle3) = 180

(64)+(2s)+(2s) = 180

4s+64 = 180

4s+64-64 = 180-64 ..... subtracting 64 from both sides

4s = 116

4s/4 = 116/4 ............ dividing both sides by 4

s = 29

Answer:

3 +40+2=6u-30

45-6u-30

Answer:

D & E

Step-by-step explanation:

The figures are parallelograms because their opposite sides are parallel

The figures are quadrilaterals because each had four sides

Answer:

D&E

Step-by-step explanation:

Edge 2021

Answer:

$2 per song

Step-by-step explanation:

When you buy 2 songs, you pay $4.

$4 ÷ 2 = $2

Answer:

$2 per song

Step-by-step explanation:

rate of change for the function=cost/no. of song

=y/x

=2

The dimension of a cube cd is 12 cm

what is dimension?

Given :

1728 cm

( Side)³ = 1728

Side = ³✓1728

Side = 12 cm

In square all the sides are equal

so the dimension of length and width both are 12 cm

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The Surface Area of the solid is 399.6 sq. m.

From the figure,

Given the side of composite solid

To find the Surface Area of the solid.

Let's Know,

How do you find surface area?

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Now, According to the question:

Using Mathematical Knowledge find the surface area .

To see the figure,

Surface Area = (8 x 7 x 3 )/2 + 8 x 12 x 3 +( 8 x 6.9 ) / 2

Surface Area = 84 + 288 + 27.6

Surface Area = 399.6 sq. m.

Hence, The Surface Area of the solid is 399.6 sq. m.

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