Bailey is asked to draw a circle. She is given the center and two points on the circle, but she isn't told which point is which. The points are (-6, 3), (-15, 3), and (3,3). Bailey draws an accurate circle from this information. What is the equation of the circle she drew?
O (= - 6)3 + (3 - 3)? = 3
O (= - 3)? + (y - 3)? = 3
O (* + 6)3 + (y - 3)? = 81
О (= - 3)3 + (y - 3)? = 81
〇(c+15)+(- 3) = 81
O (= - 6)? + (3 - 3)? = 81p

Bailey Is Asked To Draw A Circle. She Is Given The Center And Two Points On The Circle, But She Isn't

Answers

Answer 1

The Equation of Circle is (x+ 6)² + (y - 3)² = 9².

What is Equation of Circle?

The equation for a circle is given by:

(x-h)² +(y-k)² = a²

Where (h,k) is the center and a is the radius of the circle.

Given:

We have the points A(-6, 3), B(-15, 3), and C(3,3).

Using Distance Formula

AB = √(-15 + 6)² + (3-3)²

AB = √9²

AB= 9 unit

BC= √(3 + 15)² + (3-3)²

BC = 18 unit

and, AC = √(3+6)² + (3-3)²

AC = 9 unit

As, AB = AC then A has to be the center (-6, 3) with radius 9 unit.

Thus, the Equation of Circle is

(x+ 6)² + (y - 3)² = 9²

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Related Questions

What is forty-seven and seven tenths minus twenty-three and nineteen hundredths? and give an answer as a decimal(step by step pls)

Answers

Forty-seven and seven tenths minus twenty-three and nineteen-hundredths is equal to twenty-four and fifty-one hundredths, or 24.51 as a decimal.

To find the difference between forty-seven and seven tenths (47.7) and twenty-three and nineteen hundredths (23.19), we can simply subtract the two numbers using the standard subtraction method for decimals. Here are the steps:
1. Line up the decimals:
47.70
-23.19
2. Subtract the hundredths place: 0 - 9 = -9. Since we can't have a negative number in the hundredth place, we need to borrow 1 from the tenths place. So, 10 - 9 = 1.
3. Subtract the tenths place: 6 (after borrowing) - 1 = 5.
4. Subtract the ones place: 7 - 3 = 4.
5. Subtract the tens place: 4 - 2 = 2.
So, the final answer is 24.51.

Therefore, forty-seven and seven tenths minus twenty-three and nineteen-hundredths is equal to twenty-four and fifty-one hundredths, or 24.51 as a decimal.

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what does 5 halves equal?

Answers

Answer: 2.5 or 2 1/2

Step-by-step explanation:

One way: 1/2 x 5 = 5/2

5/2 = 2 1/2 = 2.5

Another way: 1/2 + 1/2 + 1/2 + 1/2 + 1/2 = 5/2 = 2 1/2 = 2.5

Pls help i need help i don’t understand this question very well

Answers

The value of the angle x in the parallel lines is 70 degrees.

How to find the angles in parallel lines?

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.

Therefore, let's find x in the lines.

Sum of angles in a triangle is 180 degrees.

Hence,

∠KDP = 180 - 70 - 60

∠KDP = 50 degrees

∠BDC = ∠KDP  = 50 degrees(vertically opposite angles)

∠DBC = 180 - 50 - 60

∠DBC = 70 degrees

∠DBC = x = 70 degrees(corresponding angles)

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Find the perimeter of △CBH if △CBH~△FEH, ADEG is a parallelogram, CH=7, FH=10, FE=11, and EH=6. Express your answer as a decimal, if necessary.

Answers

The perimeter of triangle ΔCBH found using the relationship between similar triangles, ΔCBH, and ΔFEH is 18.9

What are similar triangles?

Similar triangles are triangles that have the same shape and interior angles and between which the ratio of their corresponding sides are equivalent.

The specified parameters are;

The triangles ΔCBH and ΔFEH are similar, ΔCBH ~ ΔFEH

The alternate interior angles theorem indicates that we get;

∠BCH is congruent to ∠EFH and ∠CBH is congruent to ∠FEH

Vertical angles theorem, indicates that we get;

∠CHB ≅ ∠FHE

The ratio of the corresponding sides formed between similar triangles are equivalent, therefore, we get;

CH/FH = BH/EH

7/10 = BH/6

BH = 6 × (7/10) = 4.2

BH = 4.2

CH/FH = BC/EF

7/10 = BC/11

BC = 11 × 7/10 = 7.7

BC = 7.7

The perimeter of the triangle ΔCBH = BC + BH + CH

Therefore, the perimeter of ΔCBH = 7.7 + 4.2 + 7 = 18.9

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need help with this math problem, problem shown below. show work

Answers

The slope of line q can be found using the proportion JN/MN = KP/LP. Therefore, option D is the correct answer.

From the give graph,

In triangle LPK,

Slope = KP/LP

In triangle MNJ

Slope = JN/MN

Therefore, option D is the correct answer.

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find the 6th term of the geometric sequence whose common ratio 1/3 and whose first term is 4

Answers

Answer:

a6 = 4/243

Step-by-step explanation:

We can represent the geometric sequence with [tex]a_n=4(\frac{1}{3})^{n-1}[/tex], so the 6th term would be [tex]a_6=4(\frac{1}{3})^{6-1}=\frac{4}{243}[/tex].

Sierra is trying to decide whether her to rent an apartment for $1,200 per month or take out a mortgage for $1, 395 per month. After how many months will the difference in total cost be $48, 750 if the rent does not go up in price?
-150 months
-200 months
-300 months
-250 months

Answers

Step-by-step explanation:

the difference is

1395 - 1200 = $195

how many months until that sums up to $48 750 ?

by checking how often $195 fit into $48,750 :

48750 / 195 = 250

so, it will take 250 months to reach that level.

In 1997 the World Resources Institute estimated the world's proven oil reserves to be 1,000 billion barrels and the ultimately recoverable reserves to be 2,000 billion barrels..
Year Consumption(million barrels per day
1997 74
At the 1997 rate of consumption about how long will the estimated 2,000 billion barrels of oil last?

Answers

The proved oil reserves in the globe were projected to be 1,000 billion barrels by the World Resources Institute in 1997, while the eventually recoverable reserves were predicted to be 2,000 billion barrels. 75 years old

The World Resources Institute (WRI) has offices abroad in Brazil, China, India, Indonesia, Mexico, and the United States. The organization's goal is to advance human health and wellbeing, economic opportunity, and environmental sustainability.  WRI collaborates with regional and federal governments, private businesses, publicly traded firms, and other non-profit organizations to provide services addressing challenges such as the global climate change, sustainable markets, ecosystem protection, and environmentally conscious governance.  Since the first of October 2008, WRI has maintained a Charity Navigator rating of 4 out of 4.

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Angelique had 20
20
tokens to use for games at the arcade. She lost some of them. Her dad tripled the tokens she had left.

Angelique wrote the expression 3(20−t)
3
(
20
-
t
)
to find the number of tokens she has now, where t
t
is the number of tokens she lost.

Dante correctly wrote another expression, 60−3t
60
-
3
t
, to find the number of tokens Angelique has now.

Use the drop-down menus to explain what each part of Angelique's and Dante's expressions mean.

Answers

The meaning of each of the expressions Dante constructed is illustrated below.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Angelique had 20 tokens to use for games at the arcade.

After she lost 't' amount of tokens the remaining number of tokens became

20 - t.

After his father tripled the number of tokens it became 3(20 - t).

Dante distributed the terms 3(20 - t) and get the remaining number of tokens after his father tripled the number of tokens is 60 - 3t.

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HELP ASAP PLEASE!!!!!

Answers

Answer:

Step-by-step explanation:

2a) [tex]y=2(1.2^{x})[/tex] where x is the amount of lies he told

2b) His nose will be approximately 76.68 inches long after telling 20 lies

2c) No, No.

:]

Answer:

2a)  where x is the amount of lies he told

2b) His nose will be approximately 76.68 inches long after telling 20 lies

2c) No, No.

Step-by-step explanation:

A circular table has a diameter of 3 feet. What is the circumference of the table to the nearest tenth? (Use 3.14 for π) Remember the formula for circumference of a circle is C=πd

Answers

The circumference of the table is 9.42 feet

What is circumference?

The circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.

For a example a circular ball with diameter 7 cm will have a circumference of 44cm

The circumference of a circle is expressed as:

C = πd

C = 3.14 ×3

C = 9.42 feet

Therefore the circumference of the table is 9.42 feet.

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Match the numbers with the correct label.

Answers

The value of a is 0.14, b is 0.2 and c is 0.33.

What is Number Line?

The horizontal straight lines in mathematics known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. The endpoints of this line go on forever.

Given:

The number a and b lies between 0/4 and 1/4. (0 and 0.25).

We have the numbers is 0.2, 0.333 (3/9) and 0.14 (1/7).

So, the value of a can be 0.14

and, value of b is 0.2.

and, the value of c is 0.33.

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How many 39 euros to $100?

Answers

There are 2.19,  39 euros in $100.

To determine how many 39 euros are equivalent to $100, you need to know the current exchange rate between euros and US dollars. The exchange rate varies constantly, so it's important to use the most up-to-date rate.

As of the time of writing, the exchange rate is 1 euro = 1.17 US dollars. This means that for every euro, you get 1.17 US dollars.

To determine how many 39 euros are equivalent to $100, you can use the following formula:

39 euros * (1.17 US dollars/1 euro) = X US dollars

Simplifying the equation gives:

45.63 US dollars = X US dollars

So, 39 euros are equivalent to 45.63 US dollars. To determine how many 39 euros are equivalent to $100, you can use the following formula:

$100 / (1.17 US dollars/1 euro) = X euros

Simplifying the equation gives:

85.47 euros = X euros

So, 85.47 euros are equivalent to $100. Therefore, you would need approximately 85.47/39 = 2.19 sets of 39 euros to reach $100.

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Chloe trota todas las mañanas. Su ruta diaria es de 3.5 millas de largo.
a) ¿Qué distancia habrá corrido Chloe después de 30 días?
b) Escribe una expresión para la distancia total que Chloe ha corrido después d días.

Algien que me ayude porfaa

Answers

a) Chloe will run 105 miles in 30 days.

b) the expression total miles he ran in d days is 3.5d.

What's Expression?

Mathematical expressions correspond of at least two figures or variables, at least one computation operation, and a statement. It's possible to multiply, divide, add, or abate with this fine operation. An expression's structure is as follows Expression( Math Operator, Number/ Variable, Math Operator)

Given:

Chloe daily route is 3.5 miles long.

So, in 30 days Chloe will run

= 30 x 3.5

= 105 miles.

b) the expression for total distance Chloe has run after d days.

= 3.5 x d

=3.5d

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The question attached here is in other Language whose translation is:

Chloe jogs every morning. His daily route is 3.5 miles long.

a) How far will Chloe have run after 30 days?

b) Write an expression for the total distance Chloe has run after d days.

What is the main theme in Fahrenheit 451?

Answers

The main theme of Fahrenheit 451, a novel written by Ray Bradbury, is the dangers of censorship, conformity, and the importance of preserving knowledge and free thought.

The novel is set in a dystopian society in which books are banned and "firemen" are responsible for burning any that are found. The protagonist, Guy Montag, is a fireman who begins to question his job and the society he lives in, eventually leading him to join a group of rebels who memorize books in order to preserve their contents. Bradbury uses the story to warn against the dangers of censorship, mindless conformity, and the loss of intellectual curiosity, emphasizing the need for critical thinking, individuality, and the preservation of knowledge.

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The scale factor of Triangle A to triangle B is 1:2 1/2

Answers

If the scale factor of Triangle A to Triangle B is 1:2, it means that the ratio of the corresponding sides of the two triangles is 1:2.

What is the scale factor?

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,

If the scale factor of Triangle A to Triangle B is 1:2, it means that the ratio of the corresponding sides of the two triangles is 1:2.


More specifically, it means that for any given pair of corresponding sides of Triangle A and Triangle B, the length of the side in Triangle B is twice as long as the length of the corresponding side in Triangle A.

For example, if Triangle A has sides of length 3, 4, and 5 units, and Triangle B is similar to Triangle A with a scale factor of 1:2, then the corresponding sides of Triangle B will have lengths of 6, 8, and 10 units.

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help please i don’t understand this

Answers

Answer:

1. dotted

2. solid

3. dotted

Step-by-step explanation:

dotted-- "greater than" or "less than"

solid-- "greater than" or equal " or "less than or equal"

p.s.---- i think of it as if the line is under the symbol then the line is solid, if there is no lie under the symbol then it is dotted

please mark brainliest

solve the inequality

x/4 + 1 <6

Answers

Answer:

x > 20 is the answer.

Good luck.

Help please I am struggling to answer

Answers

Answer:

angle 1 is 24 degrees, and angle 2 is 66

Step-by-step explanation:

;)

a rectangular picture is 9 inches wide and 12 inches long. the picture has a frame of uniform width. if the combined area of picture and frame is 180 in^2, what is the width of the frame?

Answers

The width of the frame will be 6 inches.

What is an area?

The area of the rectangle is defined as the space occupied by the rectangle in two dimensional space.

Given that a rectangular picture is 9 inches wide and 12 inches long. the picture has a frame of uniform width. if the combined area of picture and frame is 180 in².

The area of the picture is calculated as:-

Area = L x W

Area =  12 x 9

Area = 108 square inches

The remaining area of the frame is,

Area = 180 - 108

Area = 72 square inches.

The width of the ram is calculated as:-

Area = L x W
72 = 12 x W
W = 72 / 12

W = 6 inches

Therefore, the frame will have a width of 6 inches.

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Can someone Help please

Answers

since the triangles are equivalent we can set both the equations with an equal sign

2x-15=x+15

solve for x

2x-x=15+15

x=30

plug in x into 2x-15 to get an angle of triangle ABC

2(30)-15

x=45

then to get the last angle of triangle ABC we do

180-(90+45)

= 45

to get the other triangle's (DFE) angles we plug in x again

into

x+15

45+15= 60

to get the last angle we do

180-(90+60)

= 30

since both triangle are equivalent you begin by finding your x with your given:
2x-15=x+15
+15. +15
2x=x+30
-x. -x
————
x=30

now that you’ve found x you plug it into your given (2x-15 and x+15)

2x-15
2(30)-15
60-15
45
so angle C = 45

and after you add your given angle and the angle you just found
since B is a right angle it equals 90°
so you add those two and subtract angles B and C from 180° (a triangles angles combined equal 180°):
A= B + C - 180°
A= 90°+45°-180
A=135-180
A=45°

and since both triangles are equal
Angle D = 90°
Angle E = 45°
Angle F = 45°

Help please I’m stuck on a question and I’d greatly appreciate it

Answers

Answer: I think that the unknown measure is 22.

Step-by-step explanation: The bottom and height combined is the value of the longer line.

The population of a city has been increasing by 2% annually. In 2000, the population was 2000. Predict the population of the city in 2020.

Answers

we can predict that the population of the city in 2020 will be approximately 2931 (rounded to the nearest whole number).

What is percentage ?

A percentage is a way of expressing a number as a fraction of 100. The symbol for percentage is "%". For example, 50% means 50 out of 100 or 0.5 as a decimal.

Percentages are commonly used to represent proportions, rates, and changes in quantities. They can be used to compare quantities of different sizes, or to express how much one quantity has changed relative to another quantity.


According to the question:
To predict the population of the city in 2020, we can use the formula:

P = P₀(1 + r)ᵗ

where:

P₀ = the initial population (in 2000) = 2000

r = the annual growth rate as a decimal = 0.02

t = the number of years since the initial population = 20 (since we want to predict the population in 2020, which is 20 years after 2000)

Substituting these values into the formula, we get:

P = 2000(1 + 0.02)²⁰

Using a calculator, we can simplify this to:

P ≈ 2930.63

Therefore, we can predict that the population of the city in 2020 will be approximately 2931 (rounded to the nearest whole number).

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Angela has $15 to spend at the store. She will buy p pencils and n notebooks. Pencils cost $0.50 each, and notebooks cost $1.75 each. Angela will buy at least 5 notebooks. Which system of inequalities represents Angela’s situation?

Answers

Answer: I think it's P.E.M.D.A.S

Step-by-step explanation:

correct answer gets brainliest

Answers

Answer:

The answer is A

Step-by-step explanation:

Please help me quick!!!

Answers

Answer:

7 and 45

Step-by-step explanation:

First one is 7

Second one is 45

Rule is y = 5x

Answer:

the x (input ) is by 8

Step-by-step explanation:

rule by 5

An airplane flew with the wind for 2. 5 hours and returned the same distance against the wind in 3. 5 hours. If the cruising speed of the plane was a constant 360 mph in air, how fast was the wind blowing? (Hint: If the wind speed is r miles per hour, then the plane travels at (360- + r) mph with the wind and at (360 - r) mph against the wind

Answers

The speed of the wind is 60 mph.

Determine the speed

Let's denote the speed of the wind as r. When the plane is flying with the wind, its speed is (360 + r) mph, and when it's flying against the wind, its speed is (360 - r) mph.

According to the question, the plane flew the same distance with and against the wind, so we can set up an equation:

2.5(360 + r) = 3.5(360 - r)

Expanding the equation, we get:

900 + 2.5r = 1260 - 3.5r

Simplifying and rearranging the terms, we get:

6r = 360

Dividing both sides of the equation by 6, we get:

r = 60

Therefore, the speed of the wind is 60 mph.

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. Write an equivalent expression to 8k - (5 + 2k) without parentheses.
Then simplify.
8k - (5 + 2k) =8k__5__2k
= 8k __2k__5
=__k__5

Answers

The  equivalent expression to 8k - (5 + 2k) is 6k-5.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 8k-(5+2k)

Eight times k minus five plus two times of k.

We need to find the equivalent expression to the given expression.

K is the variable in the expression.

Equivalent expressions are expressions that work the same even though they look different.

Apply distributive property

8k-5-2k

Add the like terms

6k-5

Hence, 6k - 5 is the equivalent expression of 8k-(5+2k).

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About what percent of x values lie between the mean and three standard deviations. hint: (empirical rule)
about 31%
about 27%
about 50%
about 40%
Previous

Answers

About %50 is going to be your answer

What is the formula for percentage error in physics?

Answers

The formula for percentage error in physics is:

% error = (|experimental value - accepted value| / accepted value) x 100%

In this formula, the experimental value is the measured value obtained from an experiment, the accepted value is the true or theoretical value, and the absolute value of the difference between them represents the error. Dividing this error by the accepted value and multiplying by 100% gives the percentage error.

The percentage error is used to assess the accuracy of experimental measurements and to determine the degree of deviation between the experimental and accepted values. The lower the percentage error, the more accurate the measurement is considered to be.

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It is not necessary to present screening and observation results in writing, unless they result in a referral for assessment.true or false barton is an analyst developing a use case. which of the following sections will probably be on his use case? The accompanying table shows data on nominal GDP (in billions of dollars), real GDP (in billions of 2012 dollars), and population (in thousands) of the United States in 1968, 1978, 1988, 1998, 2008, and 2018. The U.S. price level rose consistently over the period 19682018.a. Why is real GDP greater than nominal GDP for all years until 2008 and lower for 2018?The value of GDP fell dramatically after 2008.There was inflation until 2008 and deflation after 2008.The base year is 2012, and prices rose from 1968 to 2018.Because 2012 is the base year, real and nominal GDP in years prior to 2012 are equal, but price changes post2012 drove them apart.Calculate the percentage change in real GDP for the following periods (round answers to the nearest tenth):19681978:%19781988:%19881998:%19982008:%20082018:%Which period had the highest growth rate?1968197819781988198819981998200820082018 When preparing a document for printing, a _____ indicates that only the columns to the left will be printed in the first page What kind of data can be used to construct a phylogenetic tree? Which of the following items is not a reconciling item in the income tax footnote?a) State income taxesb) Foreign income taxesc) Depreciation and Amortizationd) Dividends received deductione) Tax-exempt municipal bond interest what was the first fortune 500 company to be run by a black female ceo? when you whirl a can overhead by a string in a circular path, what is the direction of the force exerted on the can? true/false. when a researcher needs information that is very specific to the problem being studied, she will probably resort to using data, despite its cost and time-consuming nature. The Tokugawa shogunate was overthrown becauseA) the Japanese were outraged by the unequal treaty forced on them by Commodore Perry.B) the samurai were in debt to the merchant class.C) the emperor had failed in his obligations to protect the Japanese people.D) the daimyo led a tax revolt.E) Japanese merchants wanted more access to western goods and technology. PLEASE ASAPDetermine the number of solutions to the system of linear equations shown on the graph.coordinate plane with one line that passes through the points 0 comma 2 and 1 comma 0 and another line that passes through the points 0 comma negative 1 and 1 comma negative 2 Help its due todayA.1. Look at the labels of the graph. What are the units for the point ? (3 pts)B. 2. What is the unit rate for the graph in terms of centimeters/minute? Explain how you found the unit rate. (3 pts)_________ cm per 1 min 10 QUESTIONS AHEADQ.1 What latitude climate belt, or zone, is China found in based on its latitudinal location?Low LatitudesArtic/AntarcticMid-Latitudes TundraQ.2 What is China's capital city's absolute location?40N 115E45N 120E38N 105E40N 108EQ.3 What country is found at 45N 105E?ChinaMongolia Vietnam TibetQ.4 Which city is found at 32N 121E?ChengduNanjing Hangzhou ShanghaiQ.5 What latitude line goes through Thailand?15S28N15N30NQ.6 What line of longitude goes through Bhutan?90W101W90E101EQ.7 Is China found North or South of the Equator?Q.8 Is China found East or West of the Prime Meridian?Q.9 Which body of water is due east of China?South China SeaEast China SeaArabian SeaIndian OceanQ.10 Which country is southeast of the Yunnan province?Thailand Bhutan MyanmarVietnam For small deformation defined by the following set of displacements, where is a constant, find the infinitesimal state of strains.u1= ^2(X1+X3)^2u2= ^2(X2-X3)^2u3= X1X3 Question: Determine The Product Formed When Each Compound Is Treated With Br_2 And FeBr_3. Drag The Atom Labels To Their Appropriate Positions. Once the above step is complete, create another two-dimensional array of type double with the name grosssalary and size 12. To calculate 12 gross salaries that are to be stored in the grosssalary array, use the 12 relevant salary values from the salary array each added up with a 10% bonus. Display the gross salaries in an array in the following format.110 165 110 220220 275 275 385110 165 275 220Hint: You can use your own programming logic however one of the ways to implement the core logic isgrosssalary[i][j] = (salary[i][j]) + (salary[i][j]*0.10); What is my College Board ID? the movement of water down its concentration gradient is called? How many liters of pure water should be mixed with a 11-L solution of 60% acid to produce a mixture that is 90% water? consider the elements, listed, found in the human body. which two are major components, making up at least 3% each of the human body?