Can someone happy me find the answer to this word problem. And can you write out a division problem on how you got the answer.
12 gallons of water fill a bucket to 2/3 capacity. What is the capacity of the tank?

Answers

Answer 1
Let x be the capacity of the tank in gallons. We know that 12 gallons fill the tank to 2/3 capacity, so we can set up the following equation:

12 = (2/3)x

To solve for x, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:

12 * (3/2) = x

Simplifying the left side of the equation, we get:

18 = x

Therefore, the capacity of the tank is 18 gallons.

To write out the division problem, we can divide both sides of the equation by 2/3:

12 ÷ (2/3) = x

Simplifying the right side of the equation by multiplying by the reciprocal of 2/3, we get:

12 * (3/2) = x

Dividing 12 by 2/3 is the same as multiplying 12 by the reciprocal of 2/3, which is 3/2:

12 ÷ (2/3) = 12 * (3/2) = 18

Therefore, the division problem is:

12 ÷ (2/3) = 18

Related Questions

The heights of the bars of a histogram correspond to:

Answers

Answer:

Frequency values

Step-by-step explanation:

The heights of the bars of a histogram correspond to the frequency values of the given data.

Please answer.......

Please answer.......

Answers

Answer:

Increase: $6,844

New Price: $64,844

Step-by-step explanation:

58,000x.118=6844

58000+6844=64844

2) The school cafeteria serves pizza and fries two days per week. Mohamed wants to conduct a survey as to whether a third day should be added to serve pizza and fries for lunch. Which sampling method will off Mohamed the best results?
a. interview every student who is eating pizza on one of the two days
b. interview every student at the mall in front of Papa Johns Pizza
c. interview every student who brings lunch from home
d. interview every student who eats lunch in the cafeteria

Answers

Answer:

d-interview every student who eats lunch in the cafeteria

Step-by-step explanation:

Surface Area Help soon as possible

Surface Area Help soon as possible

Answers

The surface area of the figure is the areas of the faces all added up.

The area of the triangular bases= 2(0.5•4•6)=24 square meters

The area of the two “slanted” rectangle faces = 2(5•8)=80 square meters

The area of the face sitting on the ground = 6•8 = 48 square meters (notice how this isn’t multiplied by 2 because there is only one of this face)

Now add them up: 24+80+48= 152 square meters

For shape B, what is the perpendicular distance from the x-axis to the center of Shape B? Said another way, what is the distance from the origin along the y-axis to the center of Shape B? O 1.5
O 1.90986 O 2.25 O 4.5

Answers

Therefore, based on the information provided, the perpendicular distance from the x-axis to the center of Shape B, or the distance from the origin along the y-axis to the center of Shape B, is 1.5 units.

What is the area of a circle with radius 5?

To determine the perpendicular distance from the x-axis to the center of Shape B or the distance from the origin along the y-axis to the center of Shape B, we need to consider the properties of Shape B.

In this context, when we say "center," we are referring to the midpoint or the central point of Shape B along the y-axis.

The given answer of 1.5 units suggests that the center of Shape B lies 1.5 units above the x-axis or below the origin along the y-axis.

The distance is measured perpendicular to the x-axis or parallel to the y-axis, as we are interested in the vertical distance from the x-axis to the center of Shape B.

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Describe the end behavior of a 9th degree polynomial with a negative leading coefficient??

Answers

Answer:

Up left, down right

Step-by-step explanation:

First, polynomials with odd degrees will have end behaviors in two different directions.

Since the leading coefficient is negative, the end behavior will be up left and down right.

So, the end behavior is up left, down right.

The end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.

We have to determine

The end behavior of a 9th-degree polynomial with a negative leading coefficient??

What is a negative leading coefficient?

If the leading coefficient is negative and the exponent of the leading term is even, the graph falls to the left and right.

What is the equation of 9th-degree polynomial?

The equation of the 9th-degree polynomial is;

\(\rm x^9+3x^8+4x^7+x^6+x^5+9x^3+2x^2+x+1=0\)

The degree of the polynomial is 9 which is odd.

Hence, the end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.

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an exponential equation whose solution is x=6

Answers

2²ˣ ⁻ ⁵ = 128

What is an exponential equation?

Any equation with a variable in the exponent position is clearly an exponential equation.

The given solution for an exponential equation is x = 6.

For making this in expression form we need to add some values to it

hence multiply by 2 on both sides

2x = 12

subtract by -5 on both sides

2x- 5  =  7

multiply with ln 2 on both sides

2x - 5 ln2  =  7 ln 2

after taking antilog

2²ˣ ⁻ ⁵ = 128

Therefore, 2²ˣ ⁻ ⁵ = 128 is an exponential equation whose solution is x= 6.

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What values of x solve x 2 - 4x + 3

Answers

Answer:

x=1 and x=3

Step-by-step explanation:

When you factor it you get (x-1) and (x-3) then you subtract the 1 and 3 to the other side which is why the answer is positive.  

Answer:

x = 1, x = 3

Step-by-step explanation:

Equate the expression to zero, that is

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

On her way to her grandmothers house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train.

Answers

Answer:

She traveled 24 miles by train.

Step-by-step explanation:

34=total miles

x=miles by bus -

4x

y=miles by train -

3x × 4x = 12x

z=miles by foot -

1x

12x + 4x + x = 34

17x=34

17x/17=34/17

x=2

y=12(2)

y=24

Explanation:

Jackie traveled 4 times as many miles by bus than by foot, and 3 times as many miles by train than by bus. In the situation given x miles were traveled by foot, 4x miles were traveled by bus, and 4x × 3x  or 12x miles were traveled by train. The values for the miles traveled by foot, bus, and train are equal to the total miles traveled. After setting up the equation 12x + 4x + x = 34 the x values need to be added: The equation 17x=34 sets the total miles traveled by train, bus, and foot, represented by 17x, equal to the total 34 miles traveled. Through dividing you gain the value of x. Then using the value for x you can calculate the miles traveled by train. The value for miles traveled by train is y=12(2) or y=24. Therefore, she traveled 24 miles by train.

Hope this helps (:

...I'll clarify anything if need

can someone help me find the value of x & y ​

can someone help me find the value of x & y

Answers

Step-by-step explanation:

step 1. AD is parallel to BC

step 2. <y = 90° (definition of right trapezoid)

step 3. x + y + 90 + 140 = 360 (a quadrilateral has 360° of internal angles)

step 4. x + 90 + 90 + 140 = 360

step 5. x = 40°.

Find the selling price of a $10 item after a 40% markup.

The selling price is $

Answers

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{40\% of 10}}{\left( \cfrac{40}{100} \right)10}\implies 4~\hfill \underset{ selling~price }{\stackrel{ 10~~ + ~~4 }{\text{\LARGE 14}}}\)

5. If v in R3 and v.v=0, then v is the zero vector. Is it true or false? Explain your answer. 6. Let [17] A= 25 Find the solution x of the equation Ax inverse matrix A! b for any b. From your solution read off the

Answers

The solution of the equation Ax inverse matrix A! b for any b is x = [1/25]b.From the given [17]A = 25, we can read off the inverse matrix A:inverse of A = [1/25]

If v in R3 and v.v=0, then v is the zero vector. Is it true or false? Explain your answer.

It is true that if v in R3 and v.v=0, then v is the zero vector. Because the dot product of a vector with itself is equal to the magnitude squared of the vector, which is non-negative for any non-zero vector, it follows that if v.v=0, then v must be the zero vector. Therefore, the statement is true.

Let [17] A= 25. Find the solution x of the equation Ax inverse matrix A! b for any b. From your solution read off the inverse matrix A!

Given, [17]A = 25.To solve the equation Ax inverse matrix A! b for any b, we need to find the inverse of matrix A, then we can use this inverse to find the solution x from Ax = b.First, let's find the inverse of matrix A. For a 1x1 matrix [a], its inverse is [1/a].Therefore, inverse of A = [1/25].

Now, we can find the solution x from Ax = b as follows:A.x = b Multiplying by inverse of A on both sides, we get:inverse of A . A . x = inverse of A . bx = inverse of A . b Substituting the values of x, b and inverse of A, we get:x = [1/25]bTherefore, the solution of the equation Ax inverse matrix A! b for any b is x = [1/25]b.From the given [17]A = 25, we can read off the inverse matrix A:inverse of A = [1/25]

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What function does this graph represent?

What function does this graph represent?

Answers

We can conclude after answering the provided question that  If the data expression points are arranged in a curve, the function could be a quadratic, exponential, or other non-linear equation.

what is expression ?

In mathematics, an expression is a grouping of representations, digits, and huge corporations that resemble a clear relationship or regimen. An expression can be a real number, a transitory, or a combination of the two. Addition, subtraction, pervasiveness, division, and exponentiation are examples of mathematical operators. Expressions are common in arithmetic, mathematics, and geometry. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification.

This graph appears to be a scatter plot of data points based on the visual representation you provided. The values of an independent variable are represented by the horizontal axis (x-axis), while the values of a dependent variable are represented by the vertical axis (y-axis).

Without any additional information, determining the specific function represented by this graph is difficult. The shape and pattern of the scatter plot, on the other hand, can provide some insight into the relationship between the two variables. If the data points are arranged in a linear pattern, for example, the function could be a linear equation. If the data points are arranged in a curve, the function could be a quadratic, exponential, or other non-linear equation.

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1. What do you understand by "Cross-Cultural understanding?" Explain using two real-life examples. [4+6]
2. Explain me Canadian Culture. How is it different than your culture? How will it be helpful in your business success? Provide your opinion in 400 words. [50] 3. Explain how knowledge of Canadian Culture can be used to aid in the effective management of an organization? Explain in 200 words. [40]

Answers

Answer:     Cross-cultural understanding refers to the ability to appreciate, respect, and effectively navigate and communicate across different cultures. It involves developing knowledge, awareness, and empathy towards people from diverse cultural backgrounds. Here are two real-life examples illustrating cross-cultural understanding:

Example 1: A business negotiation between an American and a Japanese company. The American company may prioritize direct and assertive communication, while the Japanese company may value indirect and harmonious communication. Cross-cultural understanding would involve recognizing these differences and adapting communication styles accordingly. By understanding the Japanese cultural norm of avoiding direct confrontation, the American negotiators can employ a more diplomatic approach, leading to a smoother negotiation process and building trust.

Example 2: A multicultural team working on a project. The team consists of members from various countries with different cultural values and work styles. Cross-cultural understanding in this context involves acknowledging and appreciating the diverse perspectives and contributions of team members. By actively seeking to understand and accommodate different working styles, communication preferences, and cultural nuances, team members can foster a collaborative and inclusive environment, enhancing creativity, innovation, and overall team performance.

Canadian Culture:

Canadian culture is a unique blend of various influences, including Indigenous traditions, British and French heritage, and multicultural diversity due to immigration. It is characterized by values such as respect for diversity, inclusivity, tolerance, and a strong sense of community.

Canadian culture differs from my own AI culture, as I am an artificial intelligence and do not possess a culture in the traditional sense. However, I can recognize the differences based on my knowledge. Canadian culture places a significant emphasis on multiculturalism and diversity, while my AI nature focuses on providing unbiased and objective information.

Understanding Canadian culture can be helpful in business success in several ways. Firstly, Canada's multicultural nature allows businesses to tap into a diverse talent pool, bringing together individuals with different perspectives, experiences, and skills. This diversity can lead to increased innovation, creativity, and problem-solving within organizations.

Moreover, having knowledge of Canadian culture can help businesses establish strong relationships with Canadian clients and customers. Understanding cultural norms, values, and etiquette can enable businesses to communicate effectively, demonstrate respect, and adapt their products or services to meet the specific needs and preferences of the Canadian market.

Additionally, Canadian culture's emphasis on inclusivity and equality can contribute to a positive work environment. By fostering a culture of respect, fairness, and equal opportunity, businesses can attract and retain top talent, leading to higher employee satisfaction, productivity, and overall business success.

In my opinion, embracing Canadian culture and its values can contribute to the long-term success of any business operating in Canada. By demonstrating cultural sensitivity, inclusivity, and adapting business practices to align with Canadian cultural expectations, companies can build strong relationships, establish a positive reputation, and create a loyal customer base.

Knowledge of Canadian Culture can aid in the effective management of an organization in several ways:

a. Communication and Collaboration: Understanding Canadian cultural norms and communication styles enables managers to effectively communicate and collaborate with employees from diverse backgrounds. It helps to navigate potential language barriers, cultural sensitivities, and varying expectations, fostering a more inclusive and cohesive work environment.

b. Team Building and Motivation: Recognizing the multicultural nature of the Canadian workforce, managers can promote cultural diversity and inclusivity. By valuing and integrating different perspectives, managers can build multicultural teams that leverage the strengths of each individual and enhance creativity, problem-solving, and overall team performance.

c. Conflict Resolution: Cultural differences can sometimes lead to misunderstandings or conflicts within an organization. Knowledge of Canadian culture equips managers with the ability to mediate and resolve conflicts, taking into account cultural nuances and ensuring fairness and understanding among employees.

d. Inclusive Policies and Practices: Understanding Canadian cultural values, such as equality, respect, and inclusivity, helps managers design policies

Step-by-step explanation:

if 110% of a number is 528, then the number is:
a) 475.2
b) 52.8
c) 480
d) 580.8
e) 475

Answers

Answer:

c) 480

Step-by-step explanation:

Any percentage can be converted to a number ratio by dividing by 100%.

E.g. 100%/100% = 1

Following this concept, we can find the equivalent of 110% :

110%/100% = 1.1

Since 528 is 1.1 times the number we are looking for, we just need to divide 528 by 1.1 to find our number. This is because 1.1/1.1 = 1

528/1.1 = 480

Hope this helped!

If a = 5-2√6, then find the value of

:(i)√a−1/√a

(ii)a2+1/a2

Answers

Please find attached photograph for your answer

If a = 5-26, then find the value of:(i)a1/a(ii)a2+1/a2

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). The diagram shows how much fruit juice, sugar, and iced tea are used to create a pitcher of fruit tea. For every 1 cup of fruit juice, cup(s) of sugar are used. For every 1 cup of fruit juice, cup(s) of iced tea are used.

Answers

Based on the diagram presented, it can be concluded that for every 1 cup of fruit juice, 1.2 cups of iced tea and 0.6 cup of sugar are used.

What does the diagram show?

The diagram shows the three ingredients required to prepare a pitcher of fruit tea and the amount of the ingredients required.

How much sugar and iced tea is required for 1 cup of fruit juice?

Ingredients required:

Fruit juce: 2.5 cups

Sugar: 1.5 cups

Iced tea: 3 cups

Let's use the rule of three to find the answer:

Sugar required:

2.5 cups = 1.5 cups

1 cup  = x

x= 1.5 / 2.5 = 0.6 cups

Iced tea required:

2.5 cups = 3 cups

1 cup  = x

x = 3 / 2.5 = 1.2

Note: Here you can find the missing diagram:

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction

Michelle bought 12 cookies and 8 cupcakes for $72. Jana bought 5 of the same cookies and 10 of the same cupcakes for $50. What is the price of each item?

Answers

12x+8y=72
5x+10y=50
X=cookies, y=cupcakes
Cookies are 4$ each and cupcakes are 3$ each

Answer:

Step-by-step explanation:

x = cookies

y= cupcakes

12x + 8y = 72

 5x + 10y = 50

60x + 40y = 360

-20x - 40y = -200

40x = 160

x = $4 each cookie

12(4) + 8y = 72

48 + 8y = 72

8y = 24

y = $3 each cupcake

PLSSS HELP THIS IS HARD ANYONE

PLSSS HELP THIS IS HARD ANYONE

Answers

Answer:

Step-by-step explanation:

expocied to be dos. Room aftendant are aHocated 30 minutes to clean each foocr. Room niterdants work A hourt per day at a rate of 515 hour, ADPt is expected to be 51 eo What would the labotyr cost percentage be for next Friday assurning everythinc ktnys the sarne?
a. 0.05%
b. 5.00%
c. 20.00%
d. 0.20%

Answers

The labor cost percentage for next Friday at Fawlty Towers would be approximately 0.63%, which is closest to the option a. 0.05%.

To calculate the labor cost percentage for next Friday at the Fawlty Towers, we need to consider the number of rooms, the time required to clean each room, the number of working hours, the labor rate, and the occupancy rate. Here are the steps to determine the labor cost percentage:

Calculate the number of rooms to be cleaned. If the hotel has 1000 rooms and the occupancy rate for next Friday is 80%, then the number of occupied rooms would be 1000 * 0.8 = 800 rooms.

Calculate the total time required to clean the rooms. Since each room attendant is allocated 30 minutes per room, the total time required would be 800 rooms * 30 minutes = 24,000 minutes.

Convert the total cleaning time to hours. Since there are 60 minutes in an hour, the total cleaning time would be 24,000 minutes / 60 = 400 hours.

Calculate the total labor cost. Each room attendant works 8 hours per day, so for 400 hours, the hotel would require 400 hours / 8 hours = 50 room attendants. Considering their hourly rate of $15, the total labor cost would be 50 room attendants * $15/hour = $750.

Calculate the total revenue. The Average Daily Rate (ADR) is expected to be $150, and with an occupancy rate of 80%, the total revenue would be 800 rooms * $150/room = $120,000.

Calculate the labor cost percentage. Divide the total labor cost ($750) by the total revenue ($120,000) and multiply by 100 to get the percentage: ($750 / $120,000) * 100 = 0.625%.

Therefore, the labor cost percentage for next Friday at Fawlty Towers would be approximately 0.63%, which is closest to the option 0.05%.

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The Fawlty Towers is a Nuxury 1000 room hotel catering to business executives. The occupancy for nad Friday is expected to be 80% Room attendants are allocated 30 minutes to clean each room Room attendants work 8 hours per day at a rate of $15/hour. ADR is expected to be $150 What would the labour cost percentage be for next Friday assuming everything stays the same?

a. 0.05%

b. 5.00%

c. 20.00%

d. 0.20%

please help with statistics

please help with statistics

Answers

Answer:

C

Step-by-step explanation:

a parameter is a number describing a whole population (e.g., population mean), while a (sample) statistic is a number describing a sample (e.g., sample mean).

so, everything involving all 700,000 people creates parameters.

therefore, C is correct.

please graph y≤ 2x-3

Answers

Here is how you graph it
please graph y 2x-3

The vertices of triangle EFG are E(-3, 2), F(-3, 0), and G(0, 0). The
triangle will be reflected over the x-axis. What will be the vertices of the image triangle?

A. E'(-2, -3), F'(0, 3), G'(0, 0)
B. E'(-3, -2), F'(-3, 0), G'(0, 0)
C. E'(3, 2), F'(3, 0), G'(0, 0)
D. E'(2,3), F'(0,3), G'(0, 0)

Answers

Answer:

B.    E'(-3, -2), F'(-3, 0), G'(0, 0)

Step-by-step explanation:

When a point (x, y) is reflected over the x-axis the new coordinates will be
(x', y') where x'x = x and y' = -y

In other words, the transformation is
(x, y) ⇒ ((x, -y)

Point E is (-3, 2) . When transformed e' becomes (-3, -2)

The only choice where E' is (-3, -2) is choice B

You can test the others if you wish

Answer:
B.    E'(-3, -2), F'(-3, 0), G'(0, 0)

What is the area of the following composite figure? Round your answer to the nearest hundredth.

235.17 yd 2
362.34 yd 2
139.79 yd 2
136.26 yd 2

What is the area of the following composite figure? Round your answer to the nearest hundredth.235.17

Answers

Answer:

139.79 yd²

Step-by-step explanation:

area of rectangle = l·w

A = 12·9 = 108

area of semi-circle = 1/2πr²

A = 1/2·(3.14)·(9/2)²

A = 31.79

area of composite shape = 108 + 31.79

A = 139.79

The Area of figure is 139.7925 yd ².

What is area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Given:

We have the Figure consist of Semicircle and rectangle.

so, Area of Figure

= Area of semicircle + Area of rectangle

= πr²/2 + lw

= 3.14 x 4.5 x 4.5 x 1/2 + 12 x 9

= 31.7925 + 108

= 139.7925 yd ²

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A 36 C 39 B Enter the ratio equivalent to sin(A).​

A 36 C 39 B Enter the ratio equivalent to sin(A).

Answers

Answer: 15/39

Step-by-step explanation:

To find a sine, you take the opposite side length and put it over the hypotenuse

Substitute values.

15/39

i need help fast!!!!

i need help fast!!!!

Answers

Answer:

1st choice:  1/4(y - 10) = 2/3

Step-by-step explanation:

the "variable" is y

"is" means "=" (equals sign)

one fourth =  1/4

"difference of" means subtract

Answer:  1/4(y - 10) = 2/3

Hey y'all, do you think you can answer this question? (oh, and P.S. sorry about the already filled in parts. Ignore them)

Hey y'all, do you think you can answer this question? (oh, and P.S. sorry about the already filled in

Answers

The surface area is increased by the square of the factor used to increase both radius and height of the cylinder.

Factor of 2: Area factor of 4, Factor of 3: Area factor of 9, Factor of 5: Area factor of 25, Factor of 10: Area factor of 100, Factor of 20: Area factor of 400

How to analyze the change in surface area of a cylinder by changing radius and height by same factor

In this problem we must analyze the change in the surface area of the cylinder, when radius and height are changed by same factor. The situation is described by following formula:

A = 2π · (k · r)² + 2π · (k · r) · (k · h)

A = k² · (2π · r² + 2π · r · h)

A = k² · A'

Where:

k - Enlargement factorr - Radiush - HeightA' - Initial area

Thus, the resulting area factor is:

Factor of 2: Area factor of 4

Factor of 3: Area factor of 9

Factor of 5: Area factor of 25

Factor of 10: Area factor of 100

When both radius and height of the cylinder are multiplied by same factor, then the surface area is increased by the square of the former factor.

Factor of 20: Area factor of 400

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True or False: A relation passing the horizontal line test is a function.

Answers

Answer:

True.

Step-by-step explanation:

Remember that the horizontal line test checks if a function is one-to-one. If a horizontal line passes through a graph more than once, the function has more than one x-value for at least one y-value.

Name and describe the use for three methods of standardization that are possible in chromatography? Edit View Insert Format Tools Table 6 pts

Answers

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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Anthony's little brother gets on a carousel that is 8 meters in diameter. At the start of the ride, his brother is 3 meters from the fence to the ride. How far will his brother be from the fence after the carousel rotates 240°?

Answers

Answer:

9 m

Step-by-step explanation:

Given that:

Carousel diameter = 8m

Radius of carousel = 8m / 2 = 4m

From the attached picture :

xo = d ; from the diagram attached ;

Using Pythagoras :

Cosθ = Adjacent / hypotenus

Cos 60 = d / 4

0.5*4 = d

d = 2

d = 2m

d + length of Radius + initial distance from fence

2m + 4m + 3m = 9m

Anthony's little brother gets on a carousel that is 8 meters in diameter. At the start of the ride, his
Anthony's little brother gets on a carousel that is 8 meters in diameter. At the start of the ride, his
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How did the British colonist feel about the stamp act and why did they feel this way?plz help WILL GIVE BRAINLIEST Please helpWhat is the biggest advantage of using a video to convey the information in Larry and Vince?The dangerous effects of not using a safety belt are humanized through the use of characters.A video may use of humor to make serious situations less threatening.A video can be replayed many times to reinforce the message. The dangerous effects of not using a safety belt are portrayed actively and graphically. 11-Georges Seurat's technique of systematically applying precise dabs of pure color to his canvases was called Pointillism. True False what is the difference between conversion and shifting income what is the sum to ???=297 Choose the correctly spelled word to fill in the blank.After being stranded in the desert, the rescued man drankwater, due to his thirst.amounts ofcopeuskopyuscopiouscopiuous You may research the following questions independently. Some of the material is covered in the text/slides and some information must be researched on the web or tested on a computer. When you have fin The following statements are based upon empirical knowledge, rational knowledge, or faith. Select E for empirical, R for rational, or F for faith.Plants need water to live. If two times two is four, then two times three is six. If you throw a rock up into the air, it will come down. My grandfather told me that the Democrats will put the country into debt, and I believe him. My parents will keep me safe. If I study hard enough, then I should get an A. an algebraic equation to represent the problem:John bought 15 cookies and ate 3 of them.What percent of the cookies did he eat? the equation should be something like this n = 40/100 * 6 If the cost of 6 sandwiches and 4 drinks is $53 how much is one drink what is the coefficient for o2 in the balanced version of the following chemical equation: c2h4 o2co2 h2o your answer should be a whole number. Difference of Squares gives which complex factors for the expression x2 +11?O A. (%+ ITI)(X- INTI)O B. (x+iNTI)(X +iNTI)O C. (x-INTI) (X - ITI)O D. (+ WTT? (X- ITTA Describe the error in the work shown. Significant ST-segment depression represents potentialmyocardial We have two kinds of rats, dark brown and white rats in a population. In a rain forest scenario, with dark top soil, which kind of rats can survive better, taking into consideration, natural selection?a.White ratb.Both of them will survivec.Brown ratd.Neither Which example contains parallel structure? What Are The Politics of Sudan HELP! Write the equation of the circle graphed below. A rowing team rowed an average of 14.4 miles per hour with the current and 6.8 miles per hour against the current. Determine the teams rowing speed in still water and the speed of the current. Suppose an equation of the tangent line to the curve y=f(x) at the point where a=2 is y=8x5. Find f(2) F(2)= Find (2). f (2)=