For the reaction A(l) *) A(g), the equilibrium constant is 0.111 at 25.0°C and 0.333 at 50.0°C. Making the approximation that the variations in enthalpy and entropy do not change with the temperature, at what temperature will the equilibrium constant be equal to 2.00? (Answer is 374K)

Answer:

5+1=6,2+3=5 6times 5is equal 30

Answer:

7+17i

Step-by-step explanation:

(5+i)(2+3i)

Multiply complex numbers 5+i and 2+3i like you multiply binomials.

By definition, \(i^{2}\) is -1.

5×2+5×(3i)+2i+3(−1)

Do the multiplications.

10+15i+2i−3

Combine the real and imaginary parts.

10−3+(15+2)i

Do the additions.

7+17i

The reference triangles always have a leg perpendicular to the hypotenuse.

In a right triangle, the reference triangle is formed by dropping a perpendicular from one of the acute angles to the hypotenuse. This perpendicular leg, also known as the altitude, divides the hypotenuse into two segments. The reference triangle is created to establish a relationship between the angles and sides of the original right triangle. By considering the ratios of the sides in the reference triangle, we can apply trigonometric functions to solve various problems involving right triangles. The perpendicular leg of the reference triangle is crucial in determining the values of sine, cosine, and tangent for the given angle in the original triangle.

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Answer:

Step-by-step explanation:

It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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Answer:

i don't understand

Step-by-step explanation:

Answer:

Slope is 1/5

Step-by-step explanation:

m = (y2 - y1)/ (x2 - x1)

m = (3-4)/(-2-3)

m = (-1)/(-5)

m = 1/5

Answer:

4x²+35x+24

Step-by-step explanation:

FOIL the binomials and simplify

4x^2 + 35x + 24

That's all I know.

The distance between your house and school is 4.1 miles.

According to the given question.

Point c represents your house.

Point d represents post office which is directly west to the point c i.e from house.

And point e represents school which is west of the post office.

Also, it is given that the distance between house and post office, cd is 1.7 miles.

And the distance between the post office and school,de is 2.4 miles.

Now, if we see the attached figure we can say that

cd + de = ce

⇒ 1.7miles  + 2.4miles  = 4.1 miles

Hence, the distance between your house and school is 4.1 miles.

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Answer:

\(a_{37}=249\)

Step-by-step explanation:

A sequence that has a common difference is an arithmetic sequence:

\(a_n=a_1+(n-1)d\)

where aₙ is the nth term, n is the index, and d is the common difference.

In your question:

Plug those into the formula:

\(a_{37}=-39+(37-1)8\)

Then solve:

\(a_{37}=-39+(36)8\\a_{37}=-39+288\\a_{37}=249\)

The competitor falls vertically at a speed of approximately 4.1 feet per second

The branch of mathematics that deals with special functions of angles and their application in calculations. There are six commonly used angle functions in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

(a) We can use trigonometry to find the angle of elevation of the zipper. Let x be the height of the column above the ground. Then, using the Pythagorean theorem, we get:

x² + 50² = (x + 50)²

Expanding and simplifying, we get:

x²+ 2500 = x²+ 100 x + 2500

Subtracting 2500 from both sides, we get:

100x = 2500

x = 25

The height of the mast from the ground is therefore 25 feet. Now we can use trigonometry to find the elevation angle. Let θ be the elevation perspective. Then:

tan(θ) = 25/50 = 1/2

Taking the inverse tangent we get:

θ = 26.57 degrees

The height angle of  the zipper is therefore approximately 26.57 degrees.

 (b) We can again use the Pythagorean theorem to find the length of steel wire needed for the zipper. The length of the zip  is the hypotenuse of a right triangle with legs of  25 feet and 50 feet. So:

length of zipper = √(25² + 50²) = 55.9 feet

Therefore, approximately 55.9 feet of steel wire is required for the zipper.

(c) The competitor moves along the zip line at a constant speed, so we can use the formula:

speed = distance/time

The distance traveled is the length of the zipper, which we found to be approximately 55.9 feet. The time used is  6 seconds. So:

velocity = 55.9/6 ≈ 9.32 ft/s

Therefore, the competitor moves down the zip line at a speed of approximately 9.32 feet per second.

We can again use trigonometry to determine the competitor's vertical drop rate. The vertical component of the competitor's speed is obtained as follows:

vertical velocity = velocity * sin(θ)

where θ is the elevation angle  found earlier. So:

vertical velocity = 9.32 * sin(26.57) = 4.1 ft/s

Therefore, the competitor falls vertically at a speed of approximately 4.1 feet per second

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If the hypotenuse is given to the 45 45  90 triangles, the leg of the triangle is calculated after dividing the hypotenuse by \(\sqrt{2}\).

The 45, 45, and 90 triangle is a type of isosceles triangle where the two legs are the same as each other and other non-right angles are both 45 degrees. Most of the time, Pythagoras' theorem is used for finding out the missing legs and hypotenuses of 45, 45, and 90 triangles.

If the leg of the triangle is equal to a, then:

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Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Answer:

WZX=57

Step-by-step explanation:

90-33 = 57

You don't have to use the equation unless you want to check yourself.

1. Angle L

2. A

3. Side PL

4. Side AR

5. A and K

6. B

7. Side Br

8. A

9. T

10. TA

Answer:

40.8 i think

Step-by-step explanation:

Answer: 40.8

Step-by-step explanation:

Circumference of a circle formula: C=2πr

2⋅6.5⋅π

13π

40.84070450...

40.8

Answer: the coefficient is 5

Answer:

x=  

2

f  

2

−8f+4

​  

​  

−  

2

f

​  

+1

x=−  

2

f  

2

−8f+4

​  

​  

−  

2

f

​  

+1, (f



=0 and f≤4−2  

3

​  

) or f≥2  

3

​  

+4

Step-by-step explanation:

​ Brainily spaces it weird I hope this helps

The inverse function is f⁻¹(x) = ∛(x + 1). And the value of the function at x = 26 will be 3.

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by swapping x with y and y with x.

The function is given as,

f(x) = x³ - 1

The inverse function of the function f(x) will be given as,

x = [f⁻¹(x)]³ - 1

[f⁻¹(x)]³ = x + 1

f⁻¹(x) = ∛(x + 1)

The value of the inverse function at x = 26 will be given as,

f⁻¹(26) = ∛(26 + 1)

f⁻¹(26) = ∛(27)

f⁻¹(26) = ∛(3³)

f⁻¹(26) = 3

The inverse function is f⁻¹(x) = ∛(x + 1). And the value of the function at x = 26 will be 3.

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Angela starts with a budget of $19.90. After purchasing 8 pineapples, she has $3.10 left. We can calculate the total cost of the pineapples by subtracting the remaining amount from her initial budget: $19.90 - $3.10 = $16.80.

To find the price of one pineapple, we divide the total cost of the pineapples by the number of pineapples: $16.80 / 8 = $2.10.

Therefore, the price of one pineapple is $2.10.

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Answer:

the answer is D

Step-by-step explanation:

the answer is D

The sum of the absolute deviations from the mean for the given data is 4. Answer (c) 4 is correct.

To compute the sum of the deviations from the mean, we first need to calculate the deviation of each data point from the mean. The mean is given as 7.

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 5 from the mean = |5 - 7| = 2

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 9 from the mean = |9 - 7| = 2

To find the sum of the absolute deviations, we add up the deviations from the mean:

|0| + |0| + |2| + |0| + |0| + |0| + |0| + |0| + |0| + |2| = 4

Therefore, the sum of the absolute deviations from the mean for the given data is 4. Answer (c) 4 is correct.

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The optimal weekly stocking level for avocados is 220 avocados.

Given,Weekly demand = 200

Standard deviation = 10Cs = $4.50Ce = $1.25

The objective is to determine the optimal weekly stocking level for avocados.Step-by-step explanation:Let x be the weekly stocking level for avocados. Then the expected cost (C) is given by:C = CsP(stockout) + CeP(excess) + Co,where P(stockout) is the probability of a stockout, P(excess) is the probability of excess inventory, and Co is the cost of ordering avocados.

Since avocados have a normal distribution, we have:

P(stockout) = P(Z > (x - 200)/10) = 1 - P(Z < (x - 200)/10),P(excess) = P(Z < (x - 200)/10),

where Z is the standard normal random variable with mean 0 and standard deviation 1. We want to minimize C, so we differentiate with respect to x and set equal to 0:dC/dx = (Cs/10)phi((x - 200)/10) - (Ce/10)phi(-(x - 200)/10) = 0,where phi is the standard normal probability density function. Solving for x, we get:x = 200 + 10(Phi^(-1)(Ce/Cs)),where Phi^(-1) is the inverse standard normal cumulative distribution function. Plugging in the given values, we get:x = 200 + 10(Phi^(-1)(1.25/4.50)) = 200 + 1.96(10) = 219.6 (rounded to nearest whole number)

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The probability they will select and purchase your widget out of the 6 companies is 1/6 i.e 0.1667.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.

The success rate for choosing your company out of 6 is 1/6

Therefore probability is 1/6 = 0.1667.

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The correct relative speeds are as follows The speed of the pitching machine relative to the truck: 83 mph2. The speed of the pitched ball relative to the truck: 0 mph3. The speed of the pitching machine relative to you: 18 mph4. The speed of the pitched ball relative to you: 101 mph.

When a pitching machine is programmed to pitch baseballs horizontally at a speed of 83 mph and the machine is mounted on a truck and aimed forward, the speed of the pitching machine relative to the truck is 83 mph.As the truck drives towards you at a speed of 65 mph and the machine shoots a ball towards you, the speed of the pitched ball relative to the truck is 0 mph. This is because both the truck and the ball are moving at the same speed in the same direction.Now, in order to determine the speed of the pitching machine relative to you, you need to consider the motion of both the truck and the ball.

Since the pitching machine is mounted on the truck and the ball is pitched horizontally, the ball moves in the same direction as the truck and has a horizontal velocity of 83 mph. Therefore, the relative speed of the pitching machine with respect to you is the difference between the speed of the truck and the horizontal velocity of the ball. This is given by:Relative speed of pitching

machine = 83 mph - 65

mph= 18 mph

Finally, the speed of the pitched ball relative to you can be determined by adding the speed of the truck to the horizontal velocity of the ball. This is given by:Relative speed of

ball = 83 mph + 65 mph= 148 mph

Therefore, the correct relative speeds are:1. The speed of the pitching machine relative to the truck: 83 mph2. The speed of the pitched ball relative to the truck: 0 mph3. The speed of the pitching machine relative to you: 18 mph4. The speed of the pitched ball relative to you: 101 mph

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Average rate of change of \(y = x^2 + 4x - 1\\\) over the interval \(-4 \leq x \leq 1\)  is 1

What is average rate of change of a curve?

Average rate of change of a curve is equal to the slope of the curve and is obtained by dividing the change in functional value by the change in the value of the domain.

Here,

\(y = x^2 + 4x - 1\\\)

At x = -4,

\(y = (-4)^2+ 4(-4)-1\\y = -1\)

At x = 1

\(y = (1)^2 + 4(1) -1\\y = 4\)

Average rate of change of \(y = x^2 + 4x - 1\\\) over the interval \(-4 \leq x \leq 1\)

= \(\frac{4 - (-1)}{1- (-4)}\\\\\\\frac{5}{5}\\\\1\)

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Total number of cases possible when 3 Dice roll= 6^3=216

Now we have to find the number of cases when values shown on two of the dice sum to the value shown on the remaining, probability is 0.28

Now we need to count the instances where the values on two dice add up to the value on the other die, which is one. If a die shows 6, the remaining two dice must either show (5,1) or (4,2), or (3,3)

Total number of scenarios that could occur in this situation: 3!+3!+3!/2!=15

2. If a die shows 5, the other two dice must either display (4,1) or (3,2)

The total cases that could occur in this scenario are 3!+3! =12.

3. If a die shows 4, the other two dice must either display (3,1) or (2,2)

Total number of scenarios that could occur in this situation: 3!+3!/2!=9

4. If a die shows 3, the other two dice must also show 3. (2,1)

The total number of cases possible in this scenario= is 3!/2! =3

Total cases possible= 15+12+9+6+3=45

Probability= 45/216=5/24= 0.208

probability is 0.208

correct option is (D).

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The question was incomplete. Check below the complete question.

Three fair six-sided dice are rolled. What is the probability that the values shown on two of the dice sum to the value shown on the remaining die?

(A) 1/6

(B) 13/72

(C) 7/36

(D) 5/24

(E) 2/9

Answer: 16

Step-by-step explanation: 16%x1=.16 meters, then multiply by 100 to get 16 centimeters.

Answer:

The first step would be to distribute that 2 into the numbers in the parenthesis.

Step-by-step explanation:

Answer:

Step-by-step explanation:

I feel like there are many ways to begin this problem, but I'd distribute the 2(x+7) so that you are left with 2x+14. This way you can add 2x and 3x and subtract 14 to the other side.

This void method calculates and displays each column total of a two-dimensional int array of unknown dimensions. It includes labels starting with Col 1, Col 2, etc.

This Java code snippet demonstrates how to create a void method that calculates and displays the total of each column in a two-dimensional int array of unknown dimensions. It includes labels starting with Col 1, Col 2, etc. The method takes a two-dimensional int array as its sole parameter. The method then calculates the sum of each column of the array, starting with column 1. The calculation is carried out using a nested for loop. The outer loop iterates through each column of the array while the inner loop sums the values in each row of the current column.```java
public static void displayColumnTotal(int[][] array) {
   int colCount = array[0].length;

   for (int col = 0; col < colCount; col++) {
       int colTotal = 0;

       for (int row = 0; row < array.length; row++) {
           colTotal += array[row][col];
       }

       System.out.println("Col " + (col + 1) + " total: " + colTotal);
   }
}
```The code defines a variable col Count to store the number of columns in the array. The outer for loop iterates through each column of the array, using col Count to determine when to stop. The inner for loop sums the values in each row of the current column and stores the result in col Total. Finally, the column total is displayed along with its label, Col n total, where n is the column number (starting with 1 instead of 0).

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