50.0 moles/h of fuel (30% methane and the balance ethane on a molar basis) is burned with 900 moles/h of air. The product stream is analyzed and found to contain O2, N2, CH4, C2H6, CO2, CO, and H2O. The conversion of methane is 90%.
If possible, determine the percent excess air fed to the reactor. If not possible, explain why and state what other information must be given to solve.

Answer:

Step-by-step explanation:

It's a linear function.

We just need to calculate the y value for x = -2 and x = 1.

We have the equation:

y = -5x + 2

Substitute:

x = -2 → y = -5(-2) + 2 = 10 + 2 = 12

x = 1 → y = -5(1) + 2 = -5 + 2 = -3

For -2 < x < 1, -3 < y < 12.

Answer:

m + 10 = 39

Step-by-step explanation:

In 10 years she will be 39, so you will add 10 to her age right now, which is m, so m + 10 = 39

Answer:

C: m+10=39

Step-by-step explanation:

Her current age is m. In 10 years, she will be 39.

              (m)                       (+10)            (=39)

Answer:

x= -4

Step-by-step explanation:

if you expand the equation you get

7x-7 = 5x-15

group the like terms together

7x-5x = -15+7

2x= -8

if you divide both sides by 2 to remain with x alone, you get

x=-4

Answer:

-4

Step by step explanation:

expand

7x-7=5x-15

subtract 5x

2x-7=-15

subtract -7

2x=-8

divide by 2

x=-4

The probabilities are P(X = 2) = 0.14 and P(X ≥ 2) = 0.30

The mean and the standard deviation are 0.96 and 0.90

P(x = 2)

From the question, we have the following parameters that can be used in our computation:

X       0         1         2       3

P(X)   0.12    0.20   0.14  0.16

From the above table, we have

P(X = 2) = 0.14

P(x ≥  2)

From the question, we have the following parameters that can be used in our computation:

X       0         1         2       3

P(X)   0.12    0.20   0.14  0.16

From the above table, we have

P(X ≥ 2) = P(2) + P(3)

Substitute the known values in the above equation, so, we have the following representation

P(X ≥ 2) = 0.14 + 0.16

Evaluate the sum

P(X ≥ 2) = 0.30

The mean is calculated as

μx = sum of the products of x and P(x)

So, we have

μx = 0 * 0.12 + 1 *0.20 + 2 * 0.14 + 3 * 0.16

Evaluate

μx = 0.96

The standard deviation is calculated as

ox = the square root of sum of the products of x and P(x) * (1 - P(x)

So, we have

ox = √[(0 * 0.12 * 0.88) + (1 * 0.20 * 0.80) + (2 * 0.14 * 0.86) + (3 * 0.16 * 0.84)]

Evaluate

ox = 0.90

Hence, the standard deviation is 0.90

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Answer:

The rate of change is: as x increases by 10, y increases by 30. In other words, the rate of change is +30

Step-by-step explanation:

When calculating rate of change you see how much the y increases/decreases each time the x increases/decreases as we see, each time the x goes up by 10 the y goes up by 30.

Answer:

larger number is -3

smaller number is -4

Step-by-step explanation:

-3 + -4 = -7

-3 - (-4) = 1

Answer:

12.02ft

Step-by-step explanation:

the diagram is explanatory

I hope it helps

Answer:

The angle of elevation is 25.8°

Step-by-step explanation:

hypotenuse = 40; adjacent = 36 . The angle of elevation is between the 40 and 36 or the elevation from the street.

Cos x = 36/40                cos x = adjacent ÷hypotenuse

\(cos^1(x) = \frac{36}{40}\)

\(cos^1(x) = .9\)   Use the calculator: TI ( 2ndcos(.9)  enter

\(x = 25.84\)

x ≈ 25.8°

By using the triangular inequality, we will get the possible lengths:

a) 6km < x < 16km

b) 0mi < x < 24mi

c) 15yd < x < 30yd

If A, C, and D are the lengths of the sides of a triangle, then the triangular inequality says that:

A + C > D

A + D > C

C + D > a

Now, if the two sides are 5km and 11 km, and the other side is x, then we can write:

x + 5km > 11km

x + 11km > 5km

11 km + 5 km > x

From these inequalities we can get:

16km > x

x > 11km - 5km

x > 6km

Then the possible lengths of the third side are:

6km < x < 16km

b) Now the sides are 12 mi and 12mi, then the inequalities are:

x + 12mi  > 12mi

12mi + 12mi > x

The first one gives:

x > 0mi

The second:

24mi > x

The possible lenghts are 0mi < x < 24mi

c) 25 yd and 10 yd

Here we will get:

25yd + 10yd > x  ----- >  30yd > x

x + 10 yd > 25yd -------> x > 15yd

The possible lengths are:

15yd < x < 30yd

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Answer:

B. \( 11^2 \)

Step-by-step explanation:

\( \frac{ {11}^{6} }{ {11}^{4} } = {11}^{6 - 4} = {11}^{2} \\ \)

The simplified form of the given expression is \(\frac{11^{6} }{11^4}\) will be \(11^2\).

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

The given expression is

\(\frac{11^{6} }{11^4}\)

Therefore, the exponent will subtract,

= \(11 ^{6-4}\)

= \(11^2\)

Thus, the simplified form will be \(11^2\).

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Answer:

December 21st

Step-by-step explanation:

Answer:

december 21st!

Step-by-step explanation:

The magnitude of the average velocity vector is approximately 3.651 m/s.

To find the magnitude of the average velocity vector, we need to calculate the displacement and divide it by the time taken.

Representation:

Initial position: D1 = (50 m North, 10 m East)

Final position: D2 = (5 m North, 35 m East)

Time taken: t = 15 seconds

Equations:

Displacement vector (ΔD) = D2 - D1

Average velocity vector (\(V_{avg}\)) = ΔD / t

Algebra work:

ΔD = D2 - D1

   = (5 m North, 35 m East) - (50 m North, 10 m East)

   = (-45 m North, 25 m East)

|ΔD| = √((-45)^2 + 25^2)  [Magnitude of the displacement vector]

\(V_{avg}\) = ΔD / t

       = (-45 m North, 25 m East) / 15 s

       = (-3 m/s North, 5/3 m/s East)

|\(V_{avg}\)| = √((-3)^2 + (5/3)^2)  [Magnitude of the average velocity vector]

Symbolic answer:

The magnitude of the average velocity vector is approximately 3.651 m/s.

Units check:

The units for displacement are in meters (m) and time in seconds (s). The average velocity is therefore in meters per second (m/s), which confirms the units are consistent with the calculation.

Therefore, the magnitude of the average velocity vector is approximately 3.651 m/s.

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The image of D surely lies on the ray BA ,as ray BA is antiparallel to the ray BD.

Consider D’ to be the image of point D obtained ,when D is rotated 180 degrees anti-clockwise(or counter-clockwise),with B as center of rotation.

From the image above,it is clear that the rays BA and BD are antiparallel.

A ray is a segment of a line with a starting point and an infinite length in one direction.

Antiparallel rays are the rays which are parallel but oppositely directed.The angle between such rays is 180 degrees.

Hence,D’ must lie on the ray BA, as ray BA is antiparallel to BD(i.e the angle between the rays is also 180 degrees).

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Answer:

£4.38

Step-by-step explanation:

You need to find 1/4 and then add it on

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)

Answer:

18x-6 is the expression equivalent to -3(-6x+2)

The sampling method that is most likely to be appropriate for calculating confidence intervals is simple random sampling.

This method ensures that every member of the population has an equal chance of being selected for the sample. This reduces the risk of bias and ensures that the sample is representative of the population. Stratified sampling is also a useful method for calculating confidence intervals, especially when the population has subgroups that need to be represented in the sample. However, other sampling methods like convenience sampling or quota sampling are not appropriate for calculating confidence intervals as they can introduce bias into the sample and do not guarantee a representative sample. Therefore, it is important to use an appropriate sampling method when calculating confidence intervals to ensure that the results accurately reflect the population.

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Answer:

7 mm

Step-by-step explanation:

A square has 4 equal sides, so the piece of confetti will have 4 sides of the exact same length.

Find the length of each side by dividing the perimeter by 4

28/4

= 7

So, each side of the confetti piece is 7 mm

Answer:

Option A :- 0. 0385

Step-by-step explanation:

Since a is the first letter in the alphabet

and in total there are 26 alphabet

We divide 1 by 26

⇢ 1 ÷ 26

⇢ 0.038461538461538

⇢ 0. 0385

Probability = 0. 0385

~Done~

Answer:

\(\huge\boxed{\bf\:0. 0385}\)

Step-by-step explanation:

Told number of alphabets in the English language

= {A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z}

= 26 alphabets.

Out of all these 26 alphabets, we need to find the probability that the letter chosen at random will be 'A'.

Probability that the letter chosen at random is 'A'

= Alphabet 'A' / Total number of letters

= 1/26

= 0.0385

\(\rule{150pt}{2pt}\)

The linear approximation for the change in the predicted probability per degree increase in temperature is approximately 0.003.

Linear approximation is an estimation method that approximates a function by a linear function. Linear approximation is also known as the tangent line approximation method.

This method is useful for finding out the approximate value of the function at a point near the given point. The linear approximation of the change in predicted probability per degree increase in temperature can be found using the formula given below: Linear Approximation Formula: Linear approximation formula is given by the following equation: f(x) ≈ f(a) + f′(a)(x − a)Where f(x) is the function, f(a) is the value of the function at the point x=a, f′(a) is the first derivative of the function at x=a, and x is the point near the point a that we want to find the approximation.

Let us apply the linear approximation formula to find the linear approximation for the change in the predicted probability per degree increase in temperature.

Let f(t) be the function that gives the predicted probability of a particular event at a temperature t. Suppose that at a temperature of 100 °F, the predicted probability is 0.8. Let f′(t) be the first derivative of the function f(t).

We need to find the linear approximation of the change in predicted probability per degree increase in temperature when the temperature is 100 °F. We can use the following steps to find the linear approximation.

Step 1: Find the value of f(100)f(100) = 0.8This means that when the temperature is 100 °F, the predicted probability is 0.8.

Step 2: Find the value of f′(100)f′(100) = df/dt = 0.003 This means that the rate of change of predicted probability with respect to temperature at 100 °F is 0.003 per degree.

Step 3: Use the linear approximation formula to find the linear approximation of the change in predicted probability per degree increase in temperature. The linear approximation formula is given by: f(x) ≈ f(a) + f′(a)(x − a)Substitute a=100, f(100)=0.8, f′(100)=0.003, and x=101 into the formula. f(101) ≈ f(100) + f′(100)(101 − 100)f(101) ≈ 0.8 + 0.003(1)f(101) ≈ 0.803

This means that the predicted probability of the particular event when the temperature is 101 °F is approximately 0.803.

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When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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The base 10 representation of 142⁵ (142 in base 5) = 47

To determine the base 10 representation of 142 in base 5 raised to the power of 5, we need to understand the concept of converting numbers between different bases and the rules of exponents.

First, let's convert the number 142 from base 5 to base 10.

In base 5, each digit represents a power of 5.

The rightmost digit is multiplied by 5⁰, the second rightmost by 5¹, the third rightmost by 5², and so on.

142 in base 5 can be written as:

(1*5²) + (4*5¹) + (2*5⁰)

= (1*25) + (4*5) + (2*1)

= 25 + 20 + 2

= 47

So, the base 10 representation of 142 in base 5 is indeed 47.

Now, let's consider raising 142 in base 5 to the power of 5.

When a number is raised to a power, each digit of the number is raised to that power individually.

In this case, we have:

47⁵ = (4*5¹ + 7*5⁰)⁵

= (4*5 + 7)⁵

= (20 + 7)⁵

= 27⁵

= 27 * 27 * 27 * 27 * 27

Calculating this expression would give us the value of 47 raised to the power of 5 in base 10, which is a large number.

Therefore, the base 10 representation of 142⁵ (142 in base 5) is 47, as explained above.

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A) The data models a geometric sequence

B) Using a recursive formula, the time she will complete station 5 is; 2

C) Using a explicit formula, the time she will complete station 9 is; 512

A)  From the given coordinates (1, 3), (2, 6), (3, 12), (4, 24), we can say that when x increases by 1, y is multiplied by 2. Thus, as the quotient between consecutive terms is the same, the data depicts a geometric sequence.

B) The recursive formula for a geometric sequence with common ratio r and first term a₁ is given by the formula:

f(n) = a₁(r)ⁿ⁻¹

Since a₁ = 2 and r = 1, then we have;

f(1) = 2(1)¹⁻¹

f(1) = 2

f(5) = 2

C) The explicit formula from the calculations above will be;

aₙ = 2ⁿ

Thus;

a₉ = 2⁹

a₉ = 512

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Answer:

MIT economics professor Richard Bookstaber put it simply in his book “The End of Theory”: “No man is better than a machine, and no machine is better than a man with a machine.” ... Humans are too emotion-driven and susceptible cognitive biases, while machines lack an understanding of human thinking.

Answer:

yesThe Liverpool researchers estimate that the robot is able to work 1,000 times faster than a human scientist, and highlight that it is “unlikely a human researcher would have persevered with this multivariate experiment using manual approaches given that it might have taken 50 experiments or 25 days

76 yd

This is very simple

Perimeter is the sum of all the outer sides

22yd + 22yd + 16yd +16yd

This will give you

76yd

Answer: 76

Step-by-step explanation: Perimeter is 2(length +breadth)

2(22+16)

Answer:

The combination of a reflection in a line and a translation in a perpendicular direction is a reflection in a parallel line. However, a glide reflection cannot be reduced like that. Thus the effect of a reflection combined with any translation is a glide reflection, with as special case just a reflection.

Step-by-step explanation:

pls mark as brainliest

THANKS  

ok thx

Step-by-step explanation:

Answer:

The combination of a reflection in a line and a translation in a perpendicular direction is a reflection in a parallel line.

Step-by-step explanation:

Hope this helps!

When the switch is closed, the potential difference across the resistor R connected to a secondary coil of a transformer is influenced by the turns ratio (n2 > n1). In this scenario, the number of turns in the secondary coil (n2) is greater than the number of turns in the primary coil (n1). This results in a step-up transformer, which increases the voltage across the resistor R in the secondary circuit.

When the switch is closed, a current flows through the primary coil of the transformer, which creates a changing magnetic field. This changing magnetic field induces a voltage in the secondary coil of the transformer, which is connected to resistor R. The ratio of the number of turns in the secondary coil to the number of turns in the primary coil is given by the turns ratio, which is represented by n2/n1.
Since the potential difference across a resistor is given by Ohm's law (V = IR), the potential difference across resistor R is proportional to the current flowing through it. Therefore, when the potential difference across resistor R connected to the secondary coil of the transformer is n2 > n1, it means that the current flowing through the secondary coil is greater than the current flowing through the primary coil. This is because the voltage induced in the secondary coil is greater than the voltage applied to the primary coil due to the turns ratio of the transformer.
When the switch is closed, the potential difference across the resistor R connected to a secondary coil of a transformer is influenced by the turns ratio (n2 > n1). In this scenario, the number of turns in the secondary coil (n2) is greater than the number of turns in the primary coil (n1). This results in a step-up transformer, which increases the voltage across the resistor R in the secondary circuit.

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The given equation y = 3x + 5 has infinitely many solutions.

What is a linear equation in two variables?

If an equation is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.

Given: Linear equation y = 3x + 5

We know that,

The linear equation in two variables in the form of ax + by + c = 0

For x = 0, y = 0 + 5 = 5. Therefore, (0, 5) is one solution.

For x = 1, y = 3 × 1 + 5 = 8. Therefore, (1, 8) is another solution.

For y = 0, 3x + 5 = 0, x = -5/3. Therefore, (-5/3, 0) is another solution.

Clearly, for different values of x, we get various values for y. Thus, any value substituted for x in the given equation will constitute another solution for the given equation. So, there is no end to the number of different solutions obtained by substituting real values for x in the given linear equation. Therefore, a linear equation in two variables has infinitely many solutions.

Hence, the given equation y = 3x + 5 has infinitely many solutions.

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Answer: 24.75%

Step-by-step explanation: The probability of the spinner not landing on green on the first spin is 1-0.45=0.55

Since the spinner is spun again, we assume that it has been reset to its original state before the first spin. Thus, the probability of the spinner landing on green on the second spin is 0.45

To find the probability of both events we would have to do 0.55*0.45=0.2475. Therefore the probability of the spinner first not landing on green, spun again and then landing on green is 0.2475 or 24.75%

Answer:

the correct answer is $269

Step-by-step explanation:

Answer:

$269

Step-by-step explanation:

Answer:

8cm

Step-by-step explanation:

Area of a triangle equals bh/2

If you plug in the data, you get

10=\(\frac{5}{2}\)*\(\frac{h}{2}\)

10=\(\frac{5h}{4}\)

40=5h

h=8

Answer:

h = 8 cm

Step-by-step explanation: