an 8 inch candle burns 1/4 inch every hour. a 12 inch large candle burns 1/2 inch every hour. after how many hours will the two candles be the same height?

The proposed temperature and pressure of 330 K and 80 kPa are suitable for the flash distillation process.

In flash distillation, a liquid mixture is separated into its components by heating it to a temperature where the more volatile component (with a lower boiling point) vaporizes and is separated from the less volatile component. The pressure is maintained at a level where the desired separation occurs.

In this case, the proposed temperature of 330 K is appropriate as it is within the range where both chloroform and ethanol can vaporize. The pressure of 80 kPa is also suitable for the separation process.

To further support this, the azeotrope composition of the mixture at 330 K is given as xqaz = 0.77, indicating that there is a maximum boiling point for the mixture at this composition. This suggests that the proposed temperature and pressure can be used to separate the liquid mixture.

To confirm the feasibility of the proposed conditions, we can calculate the vapor pressure of chloroform and ethanol at 330 K using the given saturation pressure values. The ratio of the vapor pressures will provide insight into the vapor-liquid equilibrium behavior of the mixture.

Using the equation In y1 = Ax1 and In y2 = Ax2, where A is a constant, we can calculate the vapor pressures and compare them to the given azeotrope composition.

By iterating the calculation with the given equation and comparing the calculated composition to the azeotrope composition, we can determine if the proposed temperature and pressure are suitable for the flash distillation process.

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If Team A's player A4 is disqualified after receiving their fifth foul and the coach does not have a substitute ready within the permitted 15 seconds, the penalty is a technical foul.

In basketball, when a player accumulates five fouls during a game, they are disqualified and must leave the game. However, the coach has the option to substitute another player into the game to replace the disqualified player.If the coach fails to have a substitute ready within the permitted 15 seconds, it results in a technical foul. A technical foul is a penalty in basketball that is assessed against the team, not a specific player. It typically results in free throws being awarded to the opposing team and possible other consequences such as possession of the ball.

The technical foul is a consequence of the coach's failure to have a substitute ready within the designated time, which is considered a violation of the rules. The penalty serves as a deterrent and ensures that teams adhere to the rules and maintain fair play during the game.

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We need to isolate x.

2tx-n³= 4f

2tx = 4f + n^3

x = (4f + n^3)/(2t)

Done!

The value of x is x= 2f/t + n³/2t.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2tx-n³=4f

Now, solving for x

2tx=4f + n³

x= 1/2t (4f + n³)

x= 4f/2t + n³/2t

x= 2f/t + n³/2t

Hence, the value of x is x= 2f/t + n³/2t.

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Answer:

atleast 95 degrees

Step-by-step explanation:

9514 1404 393

Answer:

  A) 504

  B) 8

Step-by-step explanation:

The statement of proportionality can be written as the equation ...

  m = kr²

Then we can find k from ...

  k = m/r² = 14/2² = 7/2

That is, ...

  m = (7/2)r²

__

Using this relation, we can find m for r=12:

  m = (7/2)·12² = 7·72

  m = 504 . . . for r = 12

__

And, we can use the same equation to solve for r when m=224.

  224 = 7/2·r²

  r² = 64

  r = √64

  r = 8 . . . for m = 224

3.14 = 157/50

5.025 = 201/40

Step-by-step explanation:

please mark me as brainlest

Answer: x=48

Step-by-step explanation:

first add 9 to both sides

then add 27 to 9 to get 36

multiply both sides by 3/4 the reciprocol of 4/3

and youll get x=36 x (4/3)

simply to a single fraction then

then divide 144 by 3  to get 48

Answer: -19.2

Step-by-step explanation:

Answer:

24 m&m's

Step-by-step explanation:

Step 1:

72 × 1/3   Equation

Step 2:

72/1 × 1/3  Multiply

Answer:

24

Hope This Helps :)

Answer:

The answer depends on x.value

Step-by-step explanation:

I. It's linear equation

          y = mx + b

when y is output, x is input, m is slope and b is addition

   So if x = -1

          y = -4/3(-1) - 2

             = 4/3 - 2

             = (4-6)/3

           y = -2/3

   It will be something like this (-1, -2/3) when -1 is x.value, -2/3 is y.value        

You can given x.value be anything like 0, 1, 2, 3 the graph will be like this

(Picture is only example)

Answer:

22

Step-by-step explanation:

f. 24-(5-9+18)÷7

24-(14)÷ 7

24 - 2 = 22

hope it helps.....

Step-by-step explanation:

F. = 24-(23-9)/7

=24-14/7

=24-2

=22

g. soln:

let, the quantity be x

Now,

8% of x = Rs.640

or, 8/100*x=Rs. 640

or, 8x\100=Rs.640

or, 8x=Rs.640*100

or, x= 64000/8

x=8000

The required competition mark is given as 60, as of the given condition.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
A competition mark is calculated by doubling the sum of the top and bottom four scores and then averaging them.
According to the question,
Competition mark = 2 [7 + 6 + 8 + 5] + [7 + 9] / 2
Competition mark = 52 + 8 = 60

Thus, the competition mark is  60.

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Answer:930 Hope this Helps :D

Step-by-step explanation:

For the given problem:

Let the balances of the saving accounts be (x) and (y)

Leah has two savings accounts with balances totaling $8,000

so,

x+y=8000 (1)

She withdrew 15% from one and 40% from the other. If she has $6,350 remaining in the accounts

So, The remaining from the accounts will be (1 - 15%) and ( 1 - 40%)

that will give the decimals: 0.85 and 0.6

so, we can write the following equation:

0.85x+0.6y=6350 (2)

Now, solve the equations (1) and (2) to find (x) and (y)

From equation (1)

y=8000-x (3)

Substitute with (y) from equation (3) into equation (2)

0.85x+0.6*(8000)-x =6350

Now solve the equation

0.85x+0.6*8000-0.6x=6350

0.85x-0.6+4800+6350

0.25x=6350-4800

0.25x=1550

x=6200

Substitute with (x) into equation (3) to find (y)

y=8000-6200=1800

So, the larger account = x = 6200

and the smaller account = y = 1800



Now, we will answer the question, how much money did she withdraw from the account with the larger balance?

so, the answer will be: 15% of x = 0.15 * 6200 = 930



So, the answer will be $930

We have found two quadratic functions with x-intercepts (-5,0) and (5,0): f(x) =\(x^2 - 25\), which opens upward, and g(x) = \(-x^2 + 25\), which opens downward.

For the quadratic function that opens upward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

f(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens upward, then a must be positive. Expanding the equation, we get:

f(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open upward, we need the coefficient of x^2 to be positive, so we can set a = 1:

f(x) = x^2 - 25

For the quadratic function that opens downward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

g(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens downward, then a must be negative. Expanding the equation, we get:

g(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open downward, we need the coefficient of x^2 to be negative, so we can set a = -1:

g(x) = -x^2 + 25

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Step-by-step explanation:

first your going to break down your total then since you have nine balls of yarn you going to take out the 9.45

The cost of each wool ball will be $2.14.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

Jessie bought 4 balls of wool to knit sweaters for her children and 5 balls of wool for herself. Then she spent $9.45 on knitting accessories. The total cost of the wool and the accessories was $28.71.

Let x be the cost of each wool ball. Then the equation will be

9x + 9.45 = 28.71

Simplify the equation, then we have

9x = 28.71 - 9.45

9x = 19.26

x = 19.26 / 9

x = $2.14

The cost of each wool ball will be $2.14.

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if the tangent line intersects the x-axis, it implies the existence of a closer approximation to the root, and Newton's method guarantees convergence to the root as the iterations continue.

Newton's method is a numerical algorithm used to approximate the roots of a function. It relies on an initial guess and iteratively refines the guess using the tangent line at each iteration. The claim that if the tangent line intersects the x-axis, then Newton's method surely converges to the root is indeed true.

To prove this claim, let's consider a function f(x) and its tangent line at a point (x0, f(x0)). If the tangent line intersects the x-axis, it means that there exists a point (x1, 0) on the tangent line, where x1 is closer to the root r than x0. The tangent line equation can be expressed as y = f'(x0)(x - x0) + f(x0), where f'(x0) is the derivative of f at x0.

Using Newton's method, the next approximation x1 is obtained by finding the x-intercept of the tangent line, which is the solution to the equation f'(x0)(x1 - x0) + f(x0) = 0. Solving this equation gives x1 = x0 - f(x0)/f'(x0), which is the formula for updating the guess in Newton's method.

Since x1 is closer to the root r than x0, the process can be repeated iteratively, generating a sequence of approximations that converge to the root. This is because the tangent line provides a locally linear approximation of the function, and as the iterations progress, the approximations get closer to the actual root.

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Answer:

379.94

Step-by-step explanation:

Hope this helps :)

Answer:

3 because that is where it meets the y axis

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

The y-intercept of a graph is basically, where the equation intercepts the y axis.

Answer:

8

Step-by-step explanation:

56/8=7

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

To multiply the binomials, use the distributive property of multiplication:

The probability that the hand contains 4 jacks is solved to be

0.003697

Probability is solved using the formula

= required outcome / possible outcome

The required outcome

= number of ways of picking 4 jacks * number of ways of 10 cards from 48

= ⁴C₄ * ⁴⁸C₁₀

= 1 * 6540715896

= 6540715896

The possible outcome

= number of ways of picking 14 card from possible 52 cards

= ⁵²C₁₄

= 1.768966345 * 10¹²

The probability

= required outcome / possible outcome

=  6540715896 / 1.768966345 * 10¹²

= 11 / 2975

= 0.00369747

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Answer:

3x - 5 = 2x + 6  

Step one- Subtract 2x to isolate the variable  

X – 5 = 6  

Step two- Add 5 to continue to isolate the variable  

X = 11  

Your answer is      x = 11  

Hopefully this helps! Feel free to mark brainliest!

Answer: x=11

Step-by-step explanation:

3x-5=2x+6

+5. +5

3x=2x+11

-2x -2x

x=11

Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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Answer:

no sé, pero si que tienes a Bakugo de perfil

Answer:

10

Step-by-step explanation: Just mutiply the radius by 2

Answer:

Let Ishaan's age be x. Then, Christopher's age is x-20. These are their current ages.

14 years ago,

x-14 = 3(x-20-14) (we need to subtract 14 from both of their ages')

x - 14 = 3(x - 34)

x - 14 = 3x - 102

2x = 88

x = 44

Ishaan is 44 years old now.

Answer:

Christopher is 44 and ishaan is 24

Step-by-step explanation:

So im guessing this question is asking how old they are now

if christopher is 20 years older he will always be 20 years older

so we need to find how old he was 14 years ago

he was 1/3rd the age meaning that 20 is 2/3s so that means that ishaan was 10 years old

then add 14 years and he is 24

The decomposed relations are R2 (ABCEI), R3 (CDI), and R4 (CD).

a. To calculate the candidate key for the relation R1, we will calculate the closure of all the attributes using the functional dependencies given in F1. We can start by calculating the closure of attribute A, which is A+ = A, C, and D.

However, A does not form a candidate key since it does not contain all the attributes of R1. We can move on to calculating the closure of attribute AB.

A+ = AB, C, D, and I.

Since A and B together can generate all attributes of R1, AB is a candidate key. We can verify this by checking if the closure of AB+ generates all attributes of R1, and indeed it does.

Similarly, we can calculate the closure of attributes CD, EC, and EI to see if they can form candidate keys.

CD+ = C, D, and I, EC+ = A, B, C, and E, and EI+ = C and D. Therefore, the candidate keys for R1 are AB, CD, EC, and EI.

b. Attribute closure for (ACD) and (BCI):

ACD+ = A, C, D, IBCI+ = B, C, D, E, I

c. To find the minimal cover (Fc) of the relation R1, we can start by eliminating the redundant functional dependencies in F1 using the following steps:

Eliminate redundant dependencies: We can eliminate the dependency CD → I since it is covered by the dependency C → DI

Obtain only irreducible dependencies: We can simplify the dependency EC → AB to E → AB since C can be eliminated since it is a non-prime attribute.

Remove extraneous attributes: We can remove the attribute C from A → C since A is a superkey for R1. Therefore, the minimal cover (Fc) of the relation R1 is:

A → CC → DDI → CE → ABE → C

d. To decompose the relation R1 into BCNF form, we can use the following steps:

Identify dependencies violating BCNF:

The dependencies AB → C and EC → AB are violating BCNF since the determinants are not superkeys for R1.

Decompose the relation: We can create two new relations R2 and R3 as follows:

R2 (ABCEI) with dependencies AB → C and E → ABR3 (CDI) with dependencies C → DI and CD → I

Both R2 and R3 are in BCNF since all the determinants are superkeys for the respective relations.

However, they are not a lossless join decomposition since there is no common attribute between R2 and R3.

Therefore, we need to add a new relation R4 (CD) with the primary key CD, which has a foreign key in R3.

This ensures that the join of R2, R3, and R4 is lossless. Therefore, the decomposed relations are R2 (ABCEI), R3 (CDI), and R4 (CD).

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