The flue gas with a flowrate of 10,000 m3/h contains 600 ppm of NO and 400 ppm of NO2, respectively. Calculate total daily NH3 dosage (in m3/d and kg/d) for a selective catalytic reduction (SCR) treatment system if the regulatory limit values of NO and NO2 are 60 ppm and 40 ppm, respectively (NH3 density = 0.73 kg/m3).

Using the concepts of mean and standard deviation, and the central limit theorem, it is found that:

a. The mean is of: 3.3

b. The standard deviation is of: 1.23.

c. They would have a mean of 3.3 and a standard deviation of 0.55.

For this problem, the mean is given by:

M = (2 + 3 + 2 + 3 + 3 + 4 + 2 + 4 + 3 + 2 + 2 + 7 + 3 + 4 + 5 + 3 + 3 + 3 + 3 + 5)/20 = 3.3

The standard deviation is:

\(S = \sqrt{\frac{(2 - 3.3)^2 + (3 - 3.3)^2 + \cdots + (3 - 3.3)^2 + (5 - 3.3)^2}{20}} = 1.23\)

It states that for distribution of sample means of size n:

Hence, since 1.23/sqrt(5) = 0.55, the sample means would have a mean of 3.3 and a standard deviation of 0.55.

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The inverse of f(x), denoted as f⁻¹(x), is given by the formula f⁻¹(x) = √(x + 7) divided by 6.

To find the inverse of f(x), we need to solve for x in terms of y and then interchange x and y.

We need to choose the positive square root to get the inverse function that is also a function.

So, the inverse function of f(x) is:

f⁻¹(x) = √((x + 7)/6)

"The inverse of f(x), denoted as f⁻¹(x), is given by the formula f⁻¹(x) = the square root of (x + 7) divided by 6."

Therefore, the inverse function of f(x) is f⁻¹(x) = √((x + 7)/6).

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The value of length of AC is,

⇒ AC = 8.25

We have to given that;

CD = 6.6 cm, DE = 3.4 cm, CE = 4.2 cm, and BC = 5.25 cm

Now, We can formulate;

BC / AC = EC / CD

Substitute the values we get;

5.25 / AC = 4.2 / 6.6

Solve for AC;

5.25 x 6.6 / 4.2 = AC

AC = 8.25

Thus, The value of length of AC is,

⇒ AC = 8.25

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Geometric solids with circular cross-sections include cylinders, cones, and spheres. Geometric solids with circular cross-sections include cylinders, cones, and spheres. And Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis.

1. Cylinder: A cylinder is a 3-dimensional solid that has two parallel circular bases connected by a curved surface. Cylinders are commonly found in everyday objects like soda cans and water bottles.

2. Cone: A cone is a 3-dimensional solid that has a circular base and a curved surface that tapers to a point. Cones are often used in architecture, like on the top of a church steeple.

3. Sphere: A sphere is a 3-dimensional solid that has a circular shape in all directions. Spheres are found in many natural objects like planets and fruit, as well as in man-made objects like Christmas ornaments.

Geometric solids with circular cross-sections are used in various fields, including architecture, engineering, and science. They are used for creating objects such as cans, pipes, towers, and buildings. These shapes are also used for modeling the natural world, such as the earth, planets, and the stars.

Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis. For instance, a circle that is rotated around its center axis forms a cylinder. Similarly, a triangle that is rotated around one of its sides forms a cone, while a circle that is rotated around its center axis forms a sphere.

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Answer:

0

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

6/2 = 3 x (1+2) = 9 :)

Answer:

A=235 cm 2

Step-by-step explanation:

A1=L x W

A1=9 x 20          180 + 55=235

A1=180cm 2

A2= L x W

A2=11 x 5

A2=55 cm2

Answer:

\(246 {cm}^{2} \)

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Answer:

Degree: 88

Leading coefficient: 1313

Leading term: 13 x^{8}13x

Step-by-step explanation:

im very smart

a. To find the slope of the line, we use the formula:

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

Plugging in the given points, we get:

slope = (30 - 6) / (-5 - 1) = -24 / 6 = -4

Now we use the point-slope formula to write the equation:

y - y1 = m(x - x1)

Plugging in one of the points and the slope, we get:

y - 6 = -4(x - 1)

Simplifying, we get:

y = -4x + 10

This is the slope-intercept form of the equation.

b. The given line, -3x + 6y = -7, can be rewritten in slope-intercept form as:

y = (1/2)x - 7/6

We know that the line we want to find is perpendicular to this line, which means its slope is the negative reciprocal of (1/2), which is -2.

Using the point-slope formula again, we can write the equation:

y - y1 = m(x - x1)

Plugging in the given point (-3,5) and the slope -2, we get:

y - 5 = -2(x + 3)

Simplifying, we get:

y = -2x - 1

This is the slope-intercept form of the equation for the line that passes through (-3,5) and is perpendicular to -3x + 6y = -7.
a. To find the slope-intercept equation of the line passing through (1,6) and (-5,30), first find the slope (m) using the formula:

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

Plugging in the given coordinates:

m = (30 - 6) / (-5 - 1) = 24 / -6 = -4

Now use the point-slope form of a linear equation, y - y1 = m(x - x1), with one of the given points (e.g., (1,6)):

y - 6 = -4(x - 1)

Finally, convert to slope-intercept form (y = mx + b):

y = -4x + 10

So, the equation for the line is y = -4x + 10.

b. To find the line that passes through (-3,5) and is perpendicular to -3x + 6y = -7, first determine the slope of the given line:

-3x + 6y = -7 → 6y = 3x - 7 → y = (1/2)x - 7/6

The slope of the given line is 1/2. Since the slopes of perpendicular lines are negative reciprocals:

m_perpendicular = -2

Now use the point-slope form with the given point (-3,5) and the new slope:

y - 5 = -2(x + 3)

Convert to slope-intercept form:

y = -2x - 1

So, the equation for the line is y = -2x - 1.

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Answer:

16. 1

17. 3

18. 1

19. 1

20. 1

Step-by-step explanation:

I'm sorry that I don't speak in Filipino but I can help fill in the blanks.

(In brackets is the English translation)

12 pulgada = 1 piye (12 inch is 1 foot)

1 yard = 3 piye (1 yard is 3 feet)

10 sentimetro = 1 desimetro (10 centimeters is 1 decimeter)

1000 metro = 1 kilometro (1000 meters is 1 kilometer)

10 millimetro = 1 sentimetro (10 millimeters is 1 centimeter)

The result for the given 14 length bit string is-

(a) The bit strings of length 14 which have exactly three 0s is 2184.

(b) The bit strings of length 14 which have same number of 0s as 1s is 17297280.

(c) The bit strings of length 14 which have at least three 1s is 4472832.

A bit-string would be a binary digit sequence (bits). The size of the value is the amount of bits contained in the sequence.

A null string is a bit-string with no length.

The concept used here is permutation;

ⁿPₓ = n!/(n-x)!

Where, n is the total samples.

x is the selected samples.

(a) Because there are exactly three 0s, its other digits have always been one, hence the total of permutations is equal to;

n = 14 and x = 3 digits.

¹⁴P₃ = 14!/(14-3)!

¹⁴P₃ = 2184.

Thus, the bit strings of length 14 which have exactly three 0s is 2184.

(b) Because it is a bit string with 14 digits and it can only have digits 0 or 1, we must choose 7 0s and the remaining 7 1s, hence the number possible permutations is equal to;

n = 14 and x = 7 digits.

¹⁴P₇ = 14!/(14-7)!

¹⁴P₇ = 17297280.

Thus, the bit strings of length 14 which have same number of 0s as 1s is 17297280.

(c) The answer is identical to problem a, but the rest of a digits could be either 0 or 1, hence it must be doubled by 2¹¹ because there are 11 digits, each of which can be one of two options;

= 2184×2¹¹

= 4472832

Thus, he bit strings of length 14 which have at least three 1s is 4472832.

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The correct question is-

How many bit strings of length 14 have:

(a) Exactly three 0s?

(b) The same number of 0s as 1s?

(d) At least three 1s?

The statements that are true regarding function S are:

What is function?

In mathematics, a function is a rule or a relationship between two sets of values, which associates each element of the first set (called the domain) with a unique element of the second set (called the range). The domain and range can be any sets, including numbers, letters, or other objects.

The statements that are true regarding function S are:

The other statements are not necessarily true:

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The monthly payment is  $167.85.

The correct option is C.

The formula:

PV = PMT/i[1 - {1/(1+i)ⁿ]

PV denotes the loan sum.

PMT stands for "monthly payment," I for "interest rate" (interest rate % divided by 12), and "n" for the number of months (term of the loan in months)

Given:

A credit card holder owes $5,498 on a credit card with a 26.99% interest rate compounded monthly.

Assuming no additional purchases are made with the card.

PV = 5498

n = 60

i = 0.2699/12 = 0.02

PMT={PVi(1+i)ⁿ}/{(1+i)ⁿ−1}

PMT = {5498(0.02)(1 + 0.02)⁶⁰/{(1 + 0.02)⁶⁰ - 1}

PMT = $167.85

Therefore, PMT = $167.85

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Answer:

what type of math is it?

Step-by-step explanation:

a) About 4.16% of test takers earn a score less than 500 on the GRE Chemistry test.

b) About 96.64% of test takers earn a score greater than or equal to 900 on the GRE Chemistry test.

c) The estimated score at the 99th percentile on the GRE Chemistry test is approximately 954.512.

To answer these questions, we'll use the properties of the normal distribution and the given mean and standard deviation.

(a) To find the percentage of test takers who earn a score less than 500 on the GRE Chemistry test, we need to calculate the cumulative probability up to the score 500.

z-score = (X - mean) / standard deviation

where X is the score we are interested in.

z-score = (500 - 694) / 112

z-score ≈ -1.732

Now, we look up the cumulative probability for a z-score of -1.732 in the standard normal distribution table or use a calculator to find that the cumulative probability is approximately 0.0416 or 4.16%.

So, about 4.16% of test takers earn a score less than 500 on the GRE Chemistry test.

(b) To find the proportion of test takers who earn a score greater than or equal to 900, we need to calculate the cumulative probability from 900 to positive infinity.

z-score = (X - mean) / standard deviation

where X is the score we are interested in.

z-score = (900 - 694) / 112

z-score ≈ 1.839

Now, we look up the cumulative probability for a z-score of 1.839 in the standard normal distribution table or use a calculator to find that the cumulative probability is approximately 0.9664 or 96.64%.

So, about 96.64% of test takers earn a score greater than or equal to 900 on the GRE Chemistry test.

(c) To estimate the score at the 99th percentile on the GRE Chemistry test, we need to find the value that separates the lowest 99% of the scores from the highest 1%.

We use the z-score formula to find the z-score corresponding to the 99th percentile:

z-score = invNorm(0.99)

z-score ≈ 2.326

Now, we use the z-score to find the score corresponding to the 99th percentile:

X = mean + (z-score * standard deviation)

X = 694 + (2.326 * 112)

X ≈ 694 + 260.512

X ≈ 954.512

So, the estimated score at the 99th percentile on the GRE Chemistry test is approximately 954.512.

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Knowing that a circle has a radius of 6 inches, the area of a sector with a central angle of 120º is 12π square inches.

The area of a sector can be found using the formula:
Area of sector = (Central angle/360°) × π × r²

Where "central angle" is the angle of the sector in degrees and "r" is the radius of the circle.

In this case, the central angle is 120° and the radius is 6 inches. Plugging these values into the formula, we get:
Area of sector = (120°/360°) × π × 6²
Area of sector = (1/3) × π × 36
Area of sector = 12π square inches

Therefore, the area of the sector bounded by a central angle measuring 120° in a circle with a radius of 6 inches is 12π square inches.

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Answer:

18

Step-by-step explanation:

(2+3)^3 = (6)^3 = 18

Step-by-step explanation:

18

(2 + 3)^3=(6)^3=18

According to its meaning, it can be inferred that the words that match are: oreja - ear, mano - hand, boca - mouth, codo - elbow.

To make the correct match with the words of the options we can use a dictionary to identify the meaning and thus find which word matches the same meaning in Spanish.

In this case, it is much easier to find the match of each word because they refer to basic body parts that we can identify with a basic dictionary. Additionally, we can use tools such as the internet to search for unknown words and associate them with the concept that we previously know. According to the above, the matches are:

Ear - Oreja.

Hand - Mano.

Mouth - Boca.

Elbow - Codo.

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Answer:

  ? = 9

Step-by-step explanation:

You want the length of the segment marked ? in the given figure with a tangent of length 15 to a circle of radius 8.

You recognize the triangle is a right triangle with sides 15 and 8, so you know from your knowledge of Pythagorean triples that the hypotenuse of the triangle is 17 units.

The unknown segment is 17 units less the radius of the circle:

  ? = 9 units

__

Additional comment

If you don't remember the {8, 15, 17} Pythagorean triple, you can find the length of the hypotenuse using the Pythagorean theorem.

  c² = a² +b²

  c² = 8² +15² = 65 +225 = 289

  c = √289 = 17

  ? = c -8 = 17 -8 = 9 . . . . . units

The volume of one penny is 0.36 mL if the volume of 50 pennies is 18.0 mL.

To find the volume of one penny if the volume of 50 pennies is 18.0 mL, we use the concept of proportionality as follows:

We can find the volume of one penny by dividing the volume of 50 pennies by 50 since we know that 50 pennies occupy a volume of 18.0 mL.

Therefore, the volume of one penny can be calculated as:Volume of one penny = Volume of 50 pennies / 50= 18.0 mL / 50= 0.36 mL

Hence, the volume of one penny is 0.36 mL if the volume of 50 pennies is 18.0 mL.

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Answer:

849000

Step-by-step explanation:

I used a site called Rounding to the Nearest Thousand Calculator. Sorry Brainly doesn't allow links:))) Happy Halloween!!

Answer:

4 seconds

Step-by-step explanation:

Given equation:

\(y=256-16x^2\)

where:

The penny reaches the ground when the height is zero, so when y = 0.

Substitute y = 0 into the given equation and solve for x:

\(\begin{aligned}y&=256-16x^2\\y=0 \implies 0&=256-16x^2\\0+16x^2&=256-16x^2+16x^2\\16x^2&=256\\\dfrac{16x^2}{16}&=\dfrac{256}{16}\\x^2&=16\\\sqrt{x^2}&=\sqrt{16}\\x&=\pm4\end{aligned}\)

As time is positive, x = 4 only.

Therefore, it takes 4 seconds for the penny to reach the ground.

The percentage of vehicles that have four wheels are trucks is 30%.

Percentage is defined as the parts of a number per fraction of 100. So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

Number of trucks that are four wheels = 127 - 76 = 51

Number of trucks that have more than four wheels = 76

Total number of trucks = 127

Number of non trucks that are four wheels = 120

Number of non trucks that have more than four wheels = 18

Total number of non trucks = 138

Total number of four wheels = 51 + 120 = 171

Number of trucks that are four wheels = 51

Percentage of vehicles that have four wheels are trucks = (51 / 171) × 100 = 29.82 ≈ 30%

Hence 30% of the for wheeler vehicles are trucks.

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The complete question is as follows :

A street traffic coordinator records data about the number of vehicles with 4 wheels and the number of vehicles with more than 4 wheels that drive over a bridge. Her data is shown.

What percentage of vehicles that have four wheels are trucks? Round your answer to the nearest whole percent.

Answer:

Plan C will be the fastest - it will take 10 weeks

Step-by-step explanation:

Plan A will take 60 weeks

Plan B will take the longest 104 weeks

Plan D will be the fastest - it will take 12 weeks

Answer:

-2

Step-by-step explanation:

We can find the slope by using the slope formula

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

    = (-5 - -7)/ ( -2 - -1)

    = ( -5+7) / ( -2 +1)

    = 2/-1

   = -2

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▹ Answer

Slope = \(\frac{2}{-1}\) → -2

▹ Step-by-Step Explanation

(-1, -7) (-2, -5)

\(\frac{y2 - y1}{x2 - x1}\)

-5 - (-7) = -5 + 7 → 2

-2 - (-1) = -2 + 1 → -1

Slope = \(\frac{rise}{run}\) → \(\frac{2}{-1}\) → -2

Hope this helps!

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Brainliest is greatly appreciated!

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Answer:

D. 23/27

Step-by-step explanation:

The good news is, they wrote out all the possible options for you.

There are 27 possibilities in all, so that's our denominator.

They want to know which possibilities have a W in there OR an R comes first. So we'll count up the possibilities that start with R. There are 9.

Then, of the remaining 18, 14 include a W somewhere in there.

9 + 14 = 23 out of 27.

We are not counting the Ws in the possibilities that start with R, because of the OR in the sentence.

Please let me know if you have questions about this.

Answer:

5/27

30/81 = 10/17

it's just ratios but if you need then vice versa, swap numerator and denominator

Answer:

the person on top is correct :)

Step-by-step explanation:

The statement "When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication" is true because eliminating a loop-carried dependency that adds a constant simplifies the equation, but to obtain a closed-form direct solution, we need to express the result as a function of the current iteration's variables only

When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the loop-carried dependency adds a constant to the result of the previous iteration, which means that the current iteration's result is a function of both the current iteration's variables and the previous iteration's result.

By eliminating this dependency, we remove the need to use the previous iteration's result, which simplifies the equation. However, to obtain a closed-form direct solution, we need to express the result as a function of the current iteration's variables only, which often involves a multiplication. This is because multiplication is a fundamental mathematical operation that allows us to combine variables in a way that preserves their individual values.

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True. When eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the loop-carried dependency is typically expressed as an addition, and removing it would result in a product of the loop index and the constant.

when eliminating a loop-carried dependency that adds a constant, the closed-form direct solution will likely contain a multiplication. This is because the process often involves applying mathematical transformations that result in multiplications to simplify the loop and eliminate dependencies.

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519.99(.0825) = 42.899

519.99 + 42.899 = $562.89

Answer:

Sales tax---> 553.98 x 0.075= 41.5485

Total---> 553.98 + 41.5485= 595.5285

Round to nearest tenth---> 595.53 is your answer