The graph of a non-invertible function passes through the points (- 1, 2), (0, 6) and (3, - 4) How is the inverse of this function graphed ? Drag a phrase or group of coordinates into each box to correctly complete the statement.

The unsteady state population balance can be used to describe the cooling crystallisation process. This equation is used to describe the dynamic changes in crystal population during the process.

The seeded batch cooling crystallization process is considered the best option for the purification of an API. The following is the detailed explanation of a general crystallizer with unsteady and steady-state population balances and their meaning: Unsteady-state population balance: The unsteady-state population balance for a general crystallizer can be written as: dN/dt = G - R Here, dN/dt = Rate of accumulation of crystals in the crystallizer, , G = Generation rate of crystals due to nucleation, R = Rate of removal of crystals due to growth. The physical meaning of each term appearing in the equation: G: The generation rate of crystals (i.e., the rate of appearance of new crystals) is related to nucleation. R: The rate of removal of crystals (i.e., the rate at which the existing crystals disappear) is related to growth. dN/dt: The rate of accumulation of crystals is related to the difference between the generation and removal rates. Steady-state population balance: The steady-state population balance for a general crystallizer can be written as:G = R, Here, G = Generation rate of crystals due to nucleation R = Rate of removal of crystals due to growth. The population balance under steady-state conditions describes a process that has reached equilibrium and is in a state of balance between the rates of generation and removal. When the rate of nucleation equals the rate of growth, the system has reached steady-state, and the generation rate equals the removal rate.

Therefore, the unsteady-state population balance for a general crystallizer can be written as dN/dt = G - R, while the steady-state population balance for a general crystallizer can be written as G = R.

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If you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign.

A statement that upholds the equality of two mathematical expressions is known as an equation. An identity is a statement that is true regardless of the value of each variable. A conditional equation is one that only holds true for certain values of one or more variables.

On the other hand, an inequality is a claim that indicates that one quantity has a greater or lesser value than another using the symbols > for greater than or for lesser than. An inequality has values for every variable, much like an identity. It concentrates on two-variable inequalities with a single exponent.

If both sides of an inequality are multiplied or divided by a negative value, the inequality sign must be reversed. This is due to the fact that adding or subtracting a negative integer causes the numbers on the number line to appear in reverse order.

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The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.

As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.

As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):

38 ÷ 45 ≈ 0.8444444444444444

Rounded to two decimal places, this would be approximately 0.84.

As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:

0.8444444444444444 * 100 ≈ 84.44%

Rounded to two decimal places, this would also be approximately 84.44%.

So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.

This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.

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Answer:

84.82 feet

Step-by-step explanation:

circumference = πd = π (18) = 18π.

18π for one revolution. 18 revolutions = 18 (18π) = 324π = 1017.876 inches.

12 inches = 1 foot.

1017.876/12 = 84.823 = 84.82 feet (nearest hundredth)

Answer:

The sum of the exterior angles of a polygon is always 360 degrees, regardless of the number of sides. So, if we know the measures of two exterior angles, we can find the measure of the third exterior angle by subtracting the sum of the first two angles from 360 degrees.

In this case, we know that the measures of exterior angles R and P are 80 degrees and 72 degrees, respectively. So, the measure of exterior angle W is

Code snippet

360 - 80 - 72 = 108 degrees

Use code with caution. Learn more

Therefore, the missing exterior angle is 108 degrees.

Step-by-step explanation:

Answer:

Independent variable.  cause the sales will be depending upon the weather.

Step-by-step explanation:

Answer:

?=7

Step-by-step explanation:

When you divide, you just subtract the exponents. so 5^11/5^?=5^4   ?=7

Answer:

\(5^{7}\)

Step-by-step explanation:

so \(5^{11} }\) - \(5^{7}\) = \(5^{4}\)

and to check : 11-7 = 4

5 is constant

Answer:

The expression that describes the width of Kevin’s yard is (3g + 12) feet

Step-by-step explanation:

This is an expression problem.

From the question, we are made to know that the width of the yard is 3 times the width of the garage increased by 12 feet.

Now, we are told that the width of the garage is g feet and we want to find the width of the yard.

The width of the yard will be g feet * 3 + 12

Mathematically that would be 3g + 12 feet

The solution to the simultaneous equation represented on the graph is:

B: x = 2 and x = 4

We are given the equations as:

f(x) = -12x + 26

g(x) = -(-¹/₅)^(-x + 2)  + 3

The solution to these two simultaneous equations will be the coordinates of the points on the graph where they both intersect.

We see that the coordinates of the points of intersection of the graph is at the coordinates:

(2, 2) and (4, -22)

Thus, the solution is at x = 2 and x = 4

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Answer:

Step-by-step explanation:

1/3

Answer: The conversion of a raw score to a scaled LSAT score is a complex process that involves several steps. The Law School Admission Test (LSAT) is a standardized test used by law schools in the United States and Canada to assess applicants' critical thinking, reading comprehension, and analytical reasoning skills.

Here's a general overview of the process of converting a raw score to a scaled LSAT score:

- Raw score calculation: The raw score is the number of questions answered correctly on the LSAT. There is no penalty for incorrect answers, so it is in your best interest to answer every question, even if you are unsure of the correct answer.

- Equating: The LSAT is equated to account for differences in difficulty between test forms. This means that the raw scores of test-takers are adjusted so that the scaled scores are consistent across different test forms.

- Scaling: The raw scores are then scaled to a range of 120 to 180, with a median score of 150 and a standard deviation of 10. This scaling process allows for meaningful comparisons between test-takers, regardless of the difficulty of the specific test form they took.

It is important to note that the LSAT score is not based solely on the number of questions answered correctly, but also on the difficulty of the questions. This means that a high raw score on a particularly difficult test form may result in a lower scaled score than a lower raw score on a less difficult test form.

Step-by-step explanation:

We can see that deaths from lung diseases for men in the UK tend to be highest in the winter months (December, January, February) and lowest in the summer months (June, July, August).

We can conclude that both predictors are statistically significant.

The output of this code shows that the predicted number of deaths in January 1980 is 1608.786, with a 95% prediction interval of (1428.438, 1789.134).

(a) To make an appropriate plot of the data, you could use a time series plot with the year on the x-axis and the number of deaths on the y-axis. You could also add a seasonal component to the plot to see if there is any pattern in the data that repeats over time, such as a seasonal pattern. From the plot, you could determine when the deaths are most likely to occur.

(b) To fit an autoregressive model of the same form used for the airline data, you would need to first identify the appropriate order of autoregression and the seasonal component. You could do this by examining the autocorrelation and partial autocorrelation plots of the data. Once you have identified the appropriate model, you could use a software package like R or Python to fit the model and examine the significance of the predictors.

(c) Once you have fitted the model, you could use it to predict the number of deaths in January 1980 along with a 95% prediction interval. To do this, you would need to input the relevant values for the predictors (such as the number of deaths in the previous months) into the model and use it to generate the prediction and interval.

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Step-by-step explanation:

Total=44,064

Host countries= 2

2nd most popular country= x

Popular country=x+8382

x+x+8,382=44,064

2x=44,064-8,382=35,682

2x=35,682

x=17,842

2nd most popular=17,842

Popular=17,842+8,382=26,224

Answer=26,224

There were students who studied abroad in the most popular host country by forming the equation is 26,224

How equations are formed?

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. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

Here, It is given:

Total number of students = 44,064

Number of Host countries= 2

Let the 2nd most popular country= x

So, the Popular country becomes x+8382

Now, According to the question:

⇒x+x+8,382=44,064

⇒2x=44,064-8,382=35,682

⇒2x=35,682

⇒x=17,842

Hence, The number of students in 2nd most popular country=17,842

And, The number of students in a popular country

= 17,842+8,382=26,224

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The coefficient of determination is not the square root of the correlation coefficient.

The coefficient of determination refers to the proportion of the variance in the dependent variable that is accounted for by the independent variable.

It is the square of the correlation coefficient and ranges between 0 and 1, with 0 indicating no correlation, while 1

indicates a perfect correlation.

The coefficient of determination is a measure of how much variation exists between two variables, with a higher value

indicating a stronger relationship between the two variables.

Additionally, the group of answer choices can indicate whether the correlation coefficient is significant, and the

coefficient of determination is not the square root of the correlation coefficient.

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Answer:

\(\frac{7}{9}\) of a mile per hour

0.77777778 of a mile per hour

Step-by-step explanation:

\(\frac{y}{14} :\frac{1}{18}\)

y · 18 = 1 · 14

18y = 14

18y ÷ 18 = 14 ÷ 18

\(y=\frac{7}{9}\)

Answer: 1.28571428571

Step-by-step explanation: You divide the hours by miles

\(-4x^2+16 & =0\\\\\implies -4(x^2-4) & =0 \\\\\implies x^2-4 =0\\ \\\implies x^2-2^2 =0\\\\\implies (x+2)(x-2)=0\\\\\implies x=2,~~x = -2\)

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

Work Shown:

x = number of miles

2x = cost of traveling x miles, at $2 per mile, without including the $3 fee

2x+3 = total cost now including the $3 entrance fee, without tip

2x+3+1 = total cost plus $1 tip

2x+4 = amount you spent

2x+4 = 20

2x = 20-4

2x = 16

x = 16/2

x = 8

You traveled 8 miles.

Hey there! I'm happy to help!

Let's represent the number of miles traveled with the variable m.

We see that it will cost $2 for every mile, so for if we drive 8 miles, it will cost $16, 9 will be $18, and so forth. So the relationship is that the cost will be double the money, so what we have here is 2×m. In algebra, you can simply write variable multiplication as just putting the numbers next to each other, so 2m will be that part of the equation.

We see that the initial cost of the taxi is $3.

3

We are going to be adding our $2 per mile to this amount (2m).

3+2m

And we will add our $1 tip.

3+2m+1

And this is equal to $20.

3+2m+1=20

We can combine the 3 and the 1 to give us 4.

4+2m=20

So, we see that 2m+4 is equal to 20. If we subtract that four from 20, we will see that 2m is equal to 16.

We remember that our cost from mileage is double the miles, so if 16 is double something, we just divide by two!

16/2=8

So, this means that we traveled 8 miles!

Have a wonderful day and keep on learning! :D

Prior to 1982, pennies weighed 3.1 grams. Coins produced after 1982 weigh 2.5 grams. 647 coins from each period are there in the bag if it contains 1267 pennies and weighs 3541.9 grams.

Given that,

The 1982 change in pennies composition from all copper to zinc with copper coating was made by the US Mint. Prior to 1982, pennies weighed 3.1 grams. Coins produced after 1982 weigh 2.5 grams.

We have to find how many coins from each period are there in the bag if it contains 1267 pennies and weighs 3541.9 grams.

An issue of quantity and amount. In this context, the term "amount" refers to weight. The variables should be identified with letters that will make them easy to distinguish: Z for largely zinc and C for all copper. Create weight and quantity equations:

C + Z = 1287

3.1 C + 2.5 Z = 3601.5

By multiplying all three components of the first equation by -2.5 and placing them under the second equation, drawing a line, and then subtracting, you can eliminate the Z using this method.

3.1 C + 2.5 Z =  3601.5

-2.5 C -  2.5 Z = -3217.5

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

0.6 C              =    384      

Divide both sides by .6.

C = 640        

Subtract 640 from 1287.

Z = 647

Therefore, 647 coins from each period are there in the bag if it contains 1267 pennies and weighs 3541.9 grams.

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Answer:

the answer is D or A

Step-by-step explanation:

step-by-step explanation

I hope this helps

Step-by-step explanation:

-1 × -3/10

=> 3/10

Multiplicative Inverse/Reciprocal of 3/10 = 10/3

Answer:

Table A

Step-by-step explanation:

Linear means a straight or nearly straight line which is what is presented in Table A

Answer:

Choice 3 (2/3)

Step-by-step explanation:

Slope is equal to the change in y over the change in x.

If we look at the two coordinates, we'll see that to get from (1, 5) to (7, 9), you need to move up 4 and to the right 6.

4/6 = 2/3, which matches the 3rd choice

Hope this helps

The type I error is assuming that cleaning terminals with petroleum jelly lowers the risk of developing a bad automobile battery when there is actually no discernible benefit. The type II error is assuming that cleaning terminals with petroleum jelly has no impact on the chances of developing a bad automobile battery when in fact it does. So the option B is correct.

A type I error is assuming that using petroleum jelly to clean terminals lowers the risk of having a malfunctioning automobile battery when, in fact, there is no difference between using petroleum jelly to clean terminals and not using it at all.

The conclusion that using petroleum jelly to clean terminals has no impact on the possibility of generating a defective automobile battery is a type II error, as using petroleum jelly to clean terminals actually lowers the possibility of doing so. So the option B is correct.

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The complete question is:

Consider a hypothesis test of the claim that using petroleum jelly to clean terminals reduces the likelihood of developing a faulty car battery.

Identify the type I and type II errors for this test.

A. A type 1 error is accepting that there was a significant relationship between using petroleum jelly to clean terminals and developing a faulty car battery. A type II error is accepting that there was not a significant relationship between using petroleum jelly to clean terminals and developing a faulty car battery.

B. A type I error is concluding that using petroleum jelly to clean terminals reduces the likelihood of developing a faulty car battery, when in reality, using petroleum jelly to clean terminals has no effect on the likelihood of developing a faulty car battery. A type II error is concluding that using petroleum jelly to clean terminals has no effect on the likelihood of developing a faulty car battery, when in reality, using petroleum jelly to clean terminals actually reduces the likelihood of developing a faulty car battery.

C. A type I error is concluding that using petroleum jelly to clean terminals has no effect on the likelihood of developing a faulty car battery, when in reality, using petroleum jelly to clean terminals reduces the likelihood of developing a faulty car battery. A type II error is concluding that using petroleum jelly to clean terminals effectively reduces the likelihood of developing a faulty car battery, when in reality, using petroleum jelly to clean terminals does not effect the likelihood of developing a faulty car battery.

D. A type I error is stating that the likelihood of using petroleum jelly to clean terminals is reduced by developing a faulty car battery. A type II error is stating that the likelihood of using petroleum jelly to clean terminals is not effect by the development of a faulty car battery.

(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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Answer:

\( x = 5 \)

Step-by-step explanation:

DS = 4x + 12

SE = 8x - 8

Since segment RS bisects segment DE, it implies that the two segments created, segments DS and SE, are congruent. Therefore:

\( 4x + 12 = 8x - 8 \)

Solve for x

\( 4x + 12 - 8x = 8x - 8 - 8x \) (Subtraction property of equality)

\( -4x + 12 = - 8 \)

\( -4x + 12 - 12 = - 8 - 12 \) (subtraction property of equality)

\( -4x = - 20 \)

\( \frac{-4x}{-4} = \frac{-20}{-4} \)

\( x = 5 \)

The equation does not have solution is 13−4x+2=3x−7x+2

An equation is a statement that equals two algebraic expressions with 'equal to' symbol (=).

consider the given equations,

10−3x−1=7+3x+2, x=0 is the solution for this equation.

12−7x−10=x−8x+2, all real values makes this equation true, so the solution is (-∞,∞)

13−4x+2=3x−7x+2 has no solution.

15−2x−2=10x+3x+2 , has solution \(x=\frac{11}{15}\).

Hence, equation with no solution is 13−4x+2=3x−7x+2.

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