How many grams of hydrogen must react to produce 31.5 grams of ammonia

When Partition(numbers, 5, 9) is called in Quicksort for the array (56,25,26,28,81,93,92,85,99,87), the pivot is 92. The low partition is (56,25,26,28,81,85,87).

When Partition(numbers, 5, 9) is called in Quicksort with the array numbers = (56, 25, 26, 28, 81, 93, 92, 85, 99, 87), the element at the midpoint between index 5 and index 9 is chosen as the pivot.  The midpoint index is (5 + 9) / 2 = 7, so the pivot is the element at index 7 in the array, which is 92.

After the partitioning step, all the elements less than the pivot are moved to the low partition, while all the elements greater than the pivot are moved to the high partition. The low partition starts at the left end of the array and goes up to the element just before the first element greater than the pivot.

In this case, the low partition after the partitioning step would be (56, 25, 26, 28, 81, 85, 87), which are all the elements less than the pivot 92. Note that these elements are not necessarily in sorted order yet, as Quicksort will recursively sort each partition of the array.

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Answer:

Step-by-step explanation:

Answer:

isosceles

Step-by-step explanation:

An isosceles triangle is one with two equal-length sides. The correct option is D.

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Any triangle, whose median is also the altitude of the triangle is an isosceles triangle. Since it is given that BD is both the median and altitude of ΔABC. Therefore, the given ΔABC is an isosceles triangle.

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9514 1404 393

Answer:

  turning points

Step-by-step explanation:

The number of turning points is the number of real zeros in the derivative polynomial. As you know, the number of real zeros of a polynomial is at most the polynomial degree.

The degree of the derivative is always 1 less than the degree of the polynomial. So, a polynomial of degree n will have at most (n-1) turning points.

π/4 [2 + 1/5x] is the equation that expresses the cross-sectional area of the bar as a function of the position, x, along the length. The area of a circle is given by A=πr2.

Let us now consider a uniformly tapering circular bar having length,

L = 10 inches

and having diameter,

d₁ = 2 inches

at one end and

d₂ = 4 inches

at the other end, therefore we know that d₂ > d₁

let us consider a very short section xx of length kx and diameter dx, situated at a distance x from end A

now diameter, dx = d₁ + (d₂ - d₁)x

= d₁ + kx

where k = d₂ - d₁/ L

= 4-2/10 = 2/10 = 1/5

cross section area of the given circular bar 1

π/4 d₁²

π/4(d₁+Kx)

π/4 [2 + 1/5x]

here the cross section over 1x function of the given position of x, along the length.

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Answer:2.18$

Step-by-step explanation: 26 + 7% tax is 27.82 so 30 - 27.82 = 2.18$

Answer:

15 m, 20 m, 25 m forms a right triangle.

plz mark me as brainliest.

Answer: look at the picture

Step-by-step explanation: hope this help

a) To find the transition matrix from C to the standard ordered basis E, we can express the vectors in C as linear combinations of the vectors in E.

Let's represent the vectors in C as C1 and C2, and the vectors in E as E1 and E2.

C1 = -2E1 - 4E2

C2 = -E2

The transition matrix TEC can be obtained by arranging the coefficients of E1 and E2 as columns:

TEC = [[-2, 0], [-4, -1]]

b) To find the transition matrix from B to E, we need to express the vectors in B as linear combinations of the vectors in E. Let's represent the vectors in B as B1 and B2.

B1 = 4E1 - 7E2

B2 = 3E1 - 5E2

The transition matrix TEB can be obtained by arranging the coefficients of E1 and E2 as columns:

TEB = [[4, 3], [-7, -5]]

c) The transition matrix from E to B can be obtained by finding the inverse of the transition matrix from B to E:

TBE = (TEB)^(-1)

d) To find the transition matrix from C to B, we can express the vectors in C as linear combinations of the vectors in B. Using the same approach as before:

C1 = -2B1 - 4B2

C2 = -B1 - B2

The transition matrix TBC can be obtained by arranging the coefficients of B1 and B2 as columns:

TBC = [[-2, -1], [-4, -1]]

e) To find the coordinates of u = (1, 2) in the ordered basis B, we can use the equation [u]B = TBE[u]E:

[u]B = TBE * [1, 2]^T

f) To find the coordinates of v in the ordered basis B if the coordinate vector of v in C is [v]C = (1, 2), we can use the equation [v]B = TBC * [v]C:

[v]B = TBC * [1, 2]^T

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Step-by-step explanation:

Hey there!!

I hope you remember that mid-segment theorem, in which it is stated that, line which passes through the midpoint of one side triangle bisects base, are parallel to another side of triangle and that line is half of parallel side. (i.e CB = 1/2 of RT) .

Now, Let's simply solve it.

\(cb = \frac{1}{2} \times rt\)

Put their values as given in question.

\(x + 19 = \frac{1}{2} \times (x + 29)\)

Simplify them.

2x + 38 = x +29

2x - x = 29 - 38

x = -9.

Hope it helps...

Given that the parent function, y = x², has a leading coefficient of 1, the

following are the comparisons of the equations with the parent functions;

\(\begin{array}{|c|cc|}Steeper \, than \, y = x^2&&Less \, Steep \ than \, y = x^2 \\y = 2 \cdot x^2&&y = \frac{1}{2} \cdot x^2 \\y = \left(2 \cdot x \right)^2&&y = \left(\frac{1}{2} \cdot x \right)^2 \end{array}\right]\)

The parent function is y = x²

The leading coefficient of the parent function = 1

The steepness of a quadratic equation is given by the value of the

leading coefficient.

When the leading coefficient is larger than 1, we have;

The function is steeper than y = x²

When the leading coefficient is a fraction larger than 0 but lesser than 1, we have;

The function is less steep than y = x²

Which gives;

\(\begin{array}{|c|cc|}Steeper \, than \, y = x^2&&Less \, Steep \ than \, y = x^2 \\y = 2 \cdot x^2&&y = \frac{1}{2} \cdot x^2 \\y = \left(2 \cdot x \right)^2&&y = \left(\frac{1}{2} \cdot x \right)^2 \end{array}\right]\)

The function y = -x² is inverted has the same steepness as y = x², but will not be used.

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The new length and width of the living room would be 20% greater than the original length and width.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The percent symbol, "%," is commonly used, however the abbreviations "pct.", "pct," and sometimes "pc" are also used.

A percentage is a number with no dimensions; it has no unit of measurement.

To increase the length and width of a room by 20%,

We need to add 20% of the original length and width to the original values.

If the original length and width of the living room are L and W respectively, the new dimensions would be:

New length = L + 0.20 * L = 1.20 * L

New width = W + 0.20 * W = 1.20 * W

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I apologize, but as a text-based AI model, I am unable to provide handwritten answers or show work in form of formulas. To determine annual interest rate of 4.5%, we can use compound interest formula.

To determine how long it will take to double your money with an annual interest rate of 4.5%, we can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = Final amount (double the initial amount)

P = Principal (initial amount)

r = Annual interest rate (as a decimal)

n = Number of times interest is compounded per year

t = Time (in years)

In this case, we want to find the value of t. Let's assume the initial amount is P, and the final amount is 2P (double the initial amount). Substituting these values into the formula, we have:

2P = P(1 + 0.045/n)^(nt)

To solve for t, we can divide both sides of the equation by P and simplify:

2 = (1 + 0.045/n)^(nt)

Taking the natural logarithm (ln) of both sides of the equation:

ln(2) = nt ln(1 + 0.045/n)

Now, we can solve for t:

t = ln(2) / (n ln(1 + 0.045/n))

The value of n will depend on how frequently the interest is compounded (e.g., annually, semi-annually, quarterly, etc.). By substituting the appropriate value for n and evaluating the expression, you can determine the time it will take to double your money.                                              Note: If you provide the specific compounding period, I can assist you in calculating the exact time it takes to double your money.

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Answer and Step-by-step explanation:

Ok, so all we have to do is input the values into the equation.

We are told Adam bought 2 mechanical pencils and 8 spiral notebooks, which cost $13

and that

Kia bought 3 mechanical pencils and 5 spiral notebooks, which cost $12.50.

Adam: 2p + 8n = 13

Kia:     3p + 5n = 12.5

This is the answer.

#teamtrees #WAP (Water And Plant)

Answer: Adam: 2p + 8n = 13

Kia:     3p + 5n = 12.5

Step-by-step explanation:

Answer:

A. $107.20

Step-by-step explanation:

dont know sorry

Answer: C

Step-by-step explanation:

To determine if a triangle is equilateral, you need to see if all the sides have the same length.

Answer:

C

Step-by-step explanation:

Ben

The angle bisector from a vertex to the opposite side of a triangle is unique. We get AD = BE by subtracting BD from both sides of AB + BD = BE.

Proposition 4.4 states that in every triangle, there exists an angle bisector from a vertex to the opposite side and the angle bisector is unique.

Proof:

Let ΔABC be the given triangle and suppose AD is the angle bisector from A to BC. To prove that AD is unique, suppose BE is another angle bisector from B to AC.

We need to show that AD = BE.

Construct the incenter I of ΔABC. Draw lines AI and BI. AI bisects ∠A and BI bisects ∠B.

So, ∠AIB = 90° + ½ ∠C (proved in proposition 4.3).

Again, ∠AIB = ∠AID + ∠BIE [angle addition property of equality]

Therefore, ∠AID + ∠BIE = 90° + ½ ∠C...(1)

Since AD is the angle bisector from A to BC, we have

∠BAD = ∠CAD

Also, BE is the angle bisector from B to AC, so

∠EB = ∠EC

Adding these two equations, we get

∠BAD + ∠EB = ∠CAD + ∠EC...(2)

Since ∠A + ∠B + ∠C = 180° (angle sum property of a triangle),

∠C/2 + ∠B/2 + ∠A/2 = 180° (angle bisector property)

Therefore, ∠A/2 + ∠B/2 = 90° - ∠C/2

So, 2∠A/2 + 2∠B/2 = 180° - ∠C...(3)

Adding equations (1), (2), and (3), we get

∠AID + ∠BIE + ∠BAD + ∠EB + 2∠A/2 + 2∠B/2 = 360° - ∠C/2 + 180° + ∠C/2 + 180° - ∠C

∠AID + ∠BIE + ∠BAD + ∠EB + ∠A + ∠B = 360°(simplifying)

Therefore,

∠AID + ∠BIE + ∠BAD + ∠EB = 180°...(4)

Now, consider ΔABD and ΔEBD.

∠ABD = ∠EBD (∵ AD and BE are angle bisectors)

∠BAD = ∠BED [from equation (2)]

Therefore, ΔABD ≅ ΔEBD (∵ SAS congruence criterion)

So, BD = BD [by CPCTC]

Thus, we get AD = BE [by subtracting BD from both sides of AB + BD = BE]

Hence, the angle bisector from a vertex to the opposite side of a triangle is unique.

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Answer:

Step-by-step explanation:

16. Use Euclid Perfect Number formula:

If \(2^{n} -1\)a a prime number, then \(2^{n-1}(2^{n} -1)\) is a perfect number. 6 is a perfect number when n=2 Let try when n=3

\(2^{2} (7)=28\)

So 28 is a perfect number

Answer:

A. {-2, -1, 0, 3, 5}

Step-by-step explanation:

The domain is the set containing the x-coordinates of all the points of the function.

{(-2, 1), (0, 0), (3, -1) (-1, 7), (5, 7)}

Domain: {-2, -1, 0, 3, 5}

Explanation:

Every point of that given function is in the form (x,y). The x coordinate is always listed first. The domain is the set of allowed x values of a function. All we do is list the x coordinates of each point. Optionally you sort the x values from smallest to largest just to keep things consistent. Though a set like {1,2,3} is the same as {3,1,2}.

Side note: the range is the set of possible y values of a function

Length - 27 cm

Width  - 9 cm

Here we go (hope this helps),

The area of the rectangle is 243. To get area, you do length x width. Your equation will look like this

3x (x) = 243

Simplify this using PEMDAS

3x^2 = 243

Next, you divide both sides by 3 to undo the times 3

x^2 = 81

Then, you take the square root of both sides to undo the squared symbol

x=9

Using this, you know the width is 9. Since the length is 3x the width, you know that 3 x 9 is 27 and you can clearly see that the dimensions are 9 and 27!

The method returns the sum of the cubes of the numbers from 1 to n.

The method works by recursively calling itself, with n-1 as the argument. The base case is when n == 0, in which case the method returns 0. Otherwise, the method returns the sum of the cubes of the numbers from 1 to n-1, plus the cube of n itself.

Here is an explanation of how the method works:

The method starts by checking if n is equal to 0. If it is, the method returns 0.

If n is not equal to 0, the method recursively calls itself, with n-1 as the argument.

The recursive call will return the sum of the cubes of the numbers from 1 to n-1.

The method then adds the cube of n to the result of the recursive call.

The method returns the final result.

For example, if we pass the method the value 3, the method will first recursively call itself with the value 2. The recursive call will return the sum of the cubes of the numbers from 1 to 2, which is 1 + 8 = 9. The method then adds the cube of 3 to 9, which gives us a final result of 36.

Therefore, the method returns the sum of the cubes of the numbers from 1 to n.

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There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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Answer:

Is the answer not 361?

Step-by-step explanation:

Square 19.  

Im not sure what the question is.

Answer:

6

Step-by-step explanation:

Answer:

area of whole pizza = 200.96 in²

area of slice of pizza = 25.12 in²

Step-by-step explanation:

16"/2 = 8" radius

area = πr² = (3.14)(8²) = 200.96 in²

200.96 in²/8 = 25.12 in²

Answer: 254.5

Step-by-step explanation:

Answer:

A positive z-score indicates that a particular value is greater than the mean, a negative z-score indicates that a particular value is less than the mean, and a z-score of zero indicates that a particular value is equal to the mean.

Step-by-step explanation:

Examples: Calculating a Z-Score

Suppose we have the following dataset that shows the height (in inches) of a certain group of plants:

5, 7, 7, 8, 9, 10, 13, 17, 17, 18, 19, 19, 20

The sample mean of this dataset is 13 and the sample standard deviation is 5.51.

1. Find the z-score for the value “8” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (8 – 13) / 5.51  =  -0.91

This means that the value “8” is 0.91 standard deviations below the mean.

2. Find the z-score for the value “13” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (13 – 13) / 5.46  =  0

This means that the value “13” is exactly equal to the mean.

3. Find the z-score for the value “20” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (20 – 13) / 5.46  =  1.28

The negative z-score indicates that a particular value will be less than the mean.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The points regarding the z-score are as follows:

The negative z-score indicates that a particular value will be less than the mean.

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Answer:

160

Step-by-step explanation:

4 × 10 × 4 = 160

(Random words to hit the character limit please ignore)