Study the table.

x y
–2
8
–1
2
0
0
1
2
2
8

Answer:

it would be Negative

Step-by-step:

let take -100/-2/-1/-2/-1 (yes easy i know)

-100/-2= 50

50/-1= -50

50/-2= 25

25/-1= -25

The quadratic equation for ternary systems can be written as; \($$ f\left(V\right)=0 $$\), \($$ f'\left(V\right)=0 $$\). Solving this quadratic equation using the discriminant method gives us the solution for V.

The Rachford Rice equation can be written as;

\($$ \sum\limits_{i=1}^n\frac{V_i}{v_i+\left(1-V\right)b_i}=0 $$\)

Where;\($V_i$\): the molar volume of component i.

\($v_i$\): the specific volume of component i.

\($b_i$\): the molar quantity of the component i.

The quadratic equation can be formulated from the RR equation to determine the vapor-liquid equilibrium of ternary systems. The formula is given as;

\($$ f\left(V\right)=\sum\limits_{i=1}^n\frac{\left(Vb_i\right)}{v_i+\left(1-V\right)b_i}=0 $$\)

Where;

\($$ f\left(V\right)=\sum\limits_{i=1}^n\frac{\left(Vb_i\right)}{v_i+\left(1-V\right)b_i} $$\)

Therefore, if we differentiate the above equation;

\($$ f'\left(V\right)=\frac{d}{dV}\sum\limits_{i=1}^n\frac{\left(Vb_i\right)}{v_i+\left(1-V\right)b_i} $$\)

This gives;

\($$ f'\left(V\right)=\sum\limits_{i=1}^n\frac{b_i}{\left(v_i+\left(1-V\right)b_i\right)^2} $$\)

For a ternary system, $n=3$. Therefore, we get;

\($$ f'\left(V\right)=\frac{b_1}{\left(v_1+\left(1-V\right)b_1\right)^2}+\frac{b_2}{\left(v_2+\left(1-V\right)b_2\right)^2}+\frac{b_3}{\left(v_3+\left(1-V\right)b_3\right)^2} $$\)

To obtain the second derivative of the above equation with respect to V, we differentiate

\($f'(V)$\); \($$ f''\left(V\right)=\frac{d}{dV}\sum\limits_{i=1}^n\frac{b_i}{\left(v_i+\left(1-V\right)b_i\right)^2} $$\)

Simplifying, we get;

\($$ f''\left(V\right)=\sum\limits_{i=1}^n\frac{2b_i^2}{\left(v_i+\left(1-V\right)b_i\right)^3} $$\)

For a ternary system, \($n=3$\). Therefore, we get;

\($$ f''\left(V\right)=\frac{2b_1^2}{\left(v_1+\left(1-V\right)b_1\right)^3}+\frac{2b_2^2}{\left(v_2+\left(1-V\right)b_2\right)^3}+\frac{2b_3^2}{\left(v_3+\left(1-V\right)b_3\right)^3} $$\)

The quadratic equation for ternary systems can be written as;

\($$ f\left(V\right)=0 $$\)

\($$ f'\left(V\right)=0 $$\)

Solving this quadratic equation using the discriminant method gives us the solution for V.

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Answer:

A ratio is basically how much of one thing there is compared to another thing. They can be showed using a colon like "3:1" or using the word "to" like "3 to 1" or lastly, they can also be shown as a fraction "3/1".

2 examples:

2:5

4 to 3

5/6

The height of the steeple is 12.66 feet.

To find the height of the steeple, we will use the concept of angle of elevation. Angle of elevation is the angle between the horizontal line and the line of sight when we look up at an object.

Let's denote the height of the church as h1 and the height of the steeple as h2. Then, the total height of the church and the steeple is h1 + h2.

Using the concept of angle of elevation, we can write the following equations:

tan(35°) = h1/50 tan(47°40') = (h1 + h2)/50

Solving the first equation for h1, we get:

h1 = 50 * tan(35°) = 35.08 feet

Substituting the value of h1 into the second equation and solving for h2, we get:

50 * tan(47°40') = 35.08 + h2

h2 = 50 * tan(47°40') - 35.08

= 47.74 - 35.08 = 12.66 feet

Therefore, the height of the steeple is 12.66 feet.

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Answer:

-1.28

Step-by-step explanation:

You would put these two equations into a graphing ccalculator:

y = -4x - 1

and

y= 5^x + 4

Wherver they intersect is your answer.

These two happen to intersect at (-1.28,4.13)

Since the equation has x-values, you would give the first number (x-coordinate) as your answer.

Over the last half-century, time-use data has shown that married American women have significantly reduced their housework time, cutting it roughly in half.

This change can be attributed to various factors such as advancements in home appliances, shifting gender roles, and increased participation of women in the workforce. On the other hand, men have gradually increased their contributions to housework during this period.
This shift in housework responsibilities can be attributed to societal changes that promote a more equitable distribution of domestic tasks between partners. As gender norms have evolved, men are increasingly taking on roles that were once predominantly associated with women, leading to a more balanced approach to housework within households. Additionally, the rise in dual-income families has necessitated a more equal division of domestic responsibilities.
In summary, over the past 50 years, married American women have seen a considerable decrease in housework time, while men have increased their contributions. This change reflects evolving gender roles and societal expectations, promoting a more equal division of labor within households.

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Answer: 0.1 is equal to 100.

Step-by-step explanation:

If you move the decimal point two places to the right, you get 0.100, equal to 100.

Answer:

The variance rounded to the nearest tenth is 691.8

Step-by-step explanation:

Xavier's bowling scores:

135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149

No. of observations n = 11

\(Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{135+140+130+190+112+200+185+172+ 163+ 151+149}{11}\\Mean =157\)

Formula of variance : \(\sigma^2=\frac{\sum(x_i-\bar{x})^2}{n}\)

\(\sigma^2=\frac{(135-157)^2+(140-157)^2+(130-157)^2+(190-157)^2+(112-157)^2+(200-157)^2+(185-157)^2+(172-157)^2+(163-157)^2+(151-157)^2+(149-157)^2}{11}\)

\(\sigma^2=\frac{7610}{11}\)

\(\sigma^2=691.81\)

Hence the variance rounded to the nearest tenth is 691.8

Answer:

$50 + ($30 x 12) = $410

Step-by-step explanation:

Answer:

$410.00

Step-by-step explanation:

The probability for a data point is less than is 0.8413.

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.

The mean(μ)=4

Standard deviation(σ)=1

(P<5)

From the figure, standard normal distribution curve probability which we have to find P<5

It is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

P(x=4)=x-μ/σ

=4-4/1=0

P(x=4)=50%

P(x<5)=P(x=4)+P(x=1)

=50%+34.13%

=0.8413

P(x<5)=0.8413

Therefore, the probability a data point is less than 5 is 0.8413.

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Answer:

1000 : 1000 : 1500

Step-by-step explanation:

2 + 2 + 3 = 7

3500 ÷ 7 = 500

2 × 500 = 1000

2 × 500 = 1000

3 × 500 = 1500

1000 : 1000 : 1500

Answer:

1000 : 1000 : 1500

Step-by-step explanation:

you divide 3500 into 7 and find the answer = 500

then 500 x 2 = 1000,

500 x 3 = 1500

Answer:   D

Step-by-step explanation:

Break up the equation and you get 2x + 14 - 7 = 2x - 7 aka the same equation

Answer:

Angle 2 & 4 = 72

Step-by-step explanation:

Angle 7 is corresponding to angles 3.

So, since we know angle 7 = 108, then angle 3 = 108.

Angle 3 is supplementary to angle 2, which means they add up to 180º.

So if angle 3 = 108.

Then:

Angle 2 + 108 = 180

Angle 2 = 72º.

Angle 2 & angle 4 are vertical angles, so they have the same measure. Therefore,. If angle 2 is 72º, then angle 4 has to also be 72º.

Hope this helps! Have a great day!

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio

\(\frac{28}{24} = \frac{3x-9}{x +8}\\\\\frac{7}{6}=\frac{3x-9}{x+8}\\\)

Cross multiply,

7*(x + 8) = 6*(3x -9 )

7x + 7*8 = 6*3x - 6*9

7x +  56   = 18x - 54

          56 = 18x - 7x -54

          56 = 11x - 54

         11x - 54 = 56

               11x  = 56 +54

                11x = 110

               x = 110 /11

x = 10

PR = 3x -9

     = 30 - 9

PR = 21

Answer:

21x + 1

Step-by-step explanation:

f[g(x)]

= f(7x + 2)

= 3(7x + 2) - 5

= 21x + 6 - 5

= 21x + 1

Answer:

it will option A it is correct answer

As the value of the ratio of both the quantities are NOT same so the given values .

No, The two rates not form a proportion.

Now, According to the question:

Two ratios are equivalent, if the fractions corresponding to them are equivalent. Four quantities are said to be in proportion, if the ratio of the first and the second quantities is equal to the ratio of the third and the fourth quantities.

A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows:

1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4)

Now,

0. 4 kilometer for every 15 minutes equals to (0.4/15) = 0.026

So for every minute they travel 0.026km.

0. 6 kilometer for every 20 minutes equals (0.6/20) =  0.03

So for every minute they travel 0.03km.

Here, as the value of the ratio of both the quantities are NOT same so the given values .

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Answer:

it is 13:7

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Factor
this is how is should be
x + 2 = 0
=> x = -2
x - 3 = 0
=> x = + 3

Answer:

92.6

Step-by-step explanation:\text{SOH-CAH-TOA}

SOH-CAH-TOA

\sin Q = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{x}{95}

sinQ=

hypotenuse

opposite

​

=

95

x

​

\sin 77=\frac{x}{95}

sin77=

95

x

​

95\sin 77=x

95sin77=x

Cross multiply.

x=92.5652\approx \mathbf{92.6}\text{ feet}

x=92.5652≈92.6 feet

Type into calculator and roundto the nearest tenth of a foot.

Q

R

S

92.6

95

(adjacent to ∠Q)

(opp. of ∠Q)

(hypotenuse)

77°

In the long run, new technology can have a significant impact on the long-run average total cost (LRATC) of a company.

The LRATC curve represents the lowest possible average cost at which a company can produce a particular level of output in the long run. New technology can reduce the costs of production by improving efficiency, reducing waste, and increasing productivity, leading to lower LRATC. This can lead to a shift in the LRATC curve downward, indicating that the company can now produce the same output at a lower cost than before. This can make the company more competitive and increase its profitability.

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The number of ways that there is for Phil to get his money back is of:

Four ways.

The amount that Phil paid is of:

$1.

The total cost of the product is of:

$0.75.

Hence the change that Phil has to receive is of:

1 - 0.75 = $0.25.

The types of coins are given as follows:

With only five cent coins, there is one outcome, which is given by:

25/5 = 5 five cent coins.

With five and ten cent coins, there are two outcomes.

The fourth and final way for Phil to get his money back is with a single quarter, that is, a single $0.25 coin.

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Answer:

\(3\)×\(10^{-10\)

Step-by-step explanation:

Expand all the numbers:

Find the biggest number:

The biggest number is the list is 0.0000000003 which is \(3\)×\(10^{-10\) which will be your answer!

Have a lovely day :)

Answer

10

Step-by-step explanation:

salamander:frog

6:7

start by setting up the ratios as fractions and using x as the variable.

\(\frac{6}{7}\)=\(\frac{9}{x}\)

next cross multiply.

6x=63

x=10 i believe

Answer:

Read this passage from "The American Dream."

One of the first things we notice in this dream is an amazing universalism. It does not say some men, but it says all men. It does not say all white men, but it says all men, which includes black men. It does not say all Gentiles, but it says all men, which includes Jews. It does not say all Protestants, but it says all men, which includes Catholics.

How does the use of rhythm contribute to the ideas in the passage?

It supports key points by connecting them.

It states rational ideas to support a claim.

It convinces people that the ideas are true.

It connects the ideas to people in a specific place.

Step-by-step explanation:

Answer:

\(x = 13 \\ y = 13 \sqrt{2} \)

Step-by-step explanation:

\( \cos(45) = \frac{13}{y} = \frac{ \sqrt{2} }{2} \\ y = \frac{26}{ \sqrt{2} } = 13 \sqrt{2} \\ x = 13 \\ because \: angles \: are \: equally \: 45\)

In mathematics, a number is considered to be "even" if it is divisible by 2, and "odd" if it is not divisible by 2. The numbers from 1 to 100 can be divided into two groups: even numbers and odd numbers.

Even numbers are numbers that are divisible by 2, such as 2, 4, 6, 8, and so on. When you divide an even number by 2, the remainder will always be 0. Some examples of even numbers between 1 and 100 include: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, and 100.

Odd numbers are numbers that are not divisible by 2, such as 1, 3, 5, 7, and so on. When you divide an odd number by 2, the remainder will always be 1. Some examples of odd numbers between 1 and 100 include: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, and 99.

It is important to note that 0 is not a positive or negative number and it is not considered as odd or even.

Knowing the difference between even and odd numbers is an important concept in math, especially when working with patterns, sequences, and operations. Understanding even and odd numbers can help you better understand the properties of numbers and how they can be used in different contexts.

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The equation of the tangent line to the curve y = x^4 + 1 that is parallel to the line 32x - y = 15 is y = 32x - 127.

To find the equation of the tangent line to the curve y = x^4 + 1 that is parallel to the line 32x - y = 15, we need to determine the slope of the tangent line and a point that lies on the curve.

The slope of the tangent line can be determined by taking the derivative of the function y = x^4 + 1. The derivative gives us the slope of the tangent line at any point on the curve.

Taking the derivative of y = x^4 + 1:

dy/dx = 4x^3

Now we need to find a point on the curve. Let's consider a general point (a, b) on the curve.

Substituting the x-coordinate a into the derivative, we get the slope of the tangent line at that point:

m = 4a^3

Since the tangent line is parallel to the line 32x - y = 15, the slope of the tangent line will be the same as the slope of the given line, which is 32.

Therefore, we have:

4a^3 = 32

Solving for a, we find:

a^3 = 8

a = 2

Now we have the x-coordinate of the point on the curve where the tangent line is parallel to the given line.

Substituting a = 2 back into the equation y = x^4 + 1, we find the y-coordinate:

b = 2^4 + 1

b = 16 + 1

b = 17

So, the point on the curve is (2, 17).

Now that we have the slope of the tangent line (32) and a point on the line (2, 17), we can use the point-slope form of a line to find the equation of the tangent line:

y - 17 = 32(x - 2)

Simplifying the equation, we get:

y = 32x - 64 + 17

y = 32x - 47

Therefore, the equation of the tangent line to the curve y = x^4 + 1 that is parallel to the line 32x - y = 15 is y = 32x - 47.


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The average velocity over the given time intervals is as follows:

- [8,9]: Approximately 56.43 m/s

- [8,8.5]: Approximately 58.92 m/s

- [8,8.1]: Approximately 59.66 m/s

- [8,8.01]: Approximately 59.82 m/s

- [8,8.001]: Approximately 59.87 m/s

To find the average velocity over a time interval, we need to calculate the change in height divided by the change in time. In this case, the height function is given by h(t) = 67t - 0.83t^2.

For example, to calculate the average velocity over the interval [8,9], we evaluate h(9) and h(8) to find the heights at the end and start of the interval. Then, we divide the change in height by the change in time:

Average velocity over [8,9] = (h(9) - h(8)) / (9 - 8)

Using the height function, we can substitute the values to calculate the average velocity for each interval.

Repeat the same process for the other intervals [8,8.5], [8,8.1], [8,8.01], and [8,8.001], substituting the appropriate values into the height function and calculating the average velocity.

The result is a set of average velocities for each time interval.

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Answer:

Step-by-step explanation:

27 bananas

18 oranges

27 prime factorization=3*3*3

18 prime factorization=3*3*2 (i know this is the wrong order)

So

27=9*3

18=9*2

2 oranges to 3 bananas

2:3

Answer:

18:27 or 2:3

Step-by-step explanation: