Shown below is the balanced equation for the combustion of the hydrocarbon propane: C 3
H 8
+5O 2
⟶3CO 2
+4H 2
O What volume of oxygen is required to react with 100 grams of propane? Assume that the oxygen is at a pressure of 90kPa and a temperature of 20 ∘
C.

Answer:

The answer is below

Step-by-step explanation:

Let a complex z = r(cos θ + isinθ), the nth root of the complex number is given as:

\(z_1=r^{\frac{1}{n} }(cos(\frac{\theta +2k\pi}{n} )+isin(\frac{\theta +2k\pi}{n} )),\\k=0,1,2,.\ .\ .,n-1\)

Given the complex number z = 81(cos(3π/8)+isin(3π/8)), the fourth root (i.e n = 4) is given as follows:

\(z_{k=0}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(0)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(0)\pi}{4} ))=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})] \\z_{k=0}=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})]\\\\z_{k=1}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(1)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(1)\pi}{4} ))=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})] \\z_{k=1}=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})]\\\\\)

\(z_{k=2}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(2)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(2)\pi}{4} ))=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})] \\z_{k=2}=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})]\\\\z_{k=3}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(3)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(3)\pi}{4} ))=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})] \\z_{k=3}=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})]\)

Answer:

43/18

Step-by-step explanation:

The area of a rectangle is given by multiplying its length by its width. So, we have: Therefore, the area of the rectangle is 256x²m¹⁰.

When calculating a rectangle's area, we multiply the length by the width of the rectangle. The perimeter of a shape is the space surrounding it. Space inside a form is measured by area.  A closed figure's area is the portion of the plane that it occupys, whereas its perimeter is the space around it. The size of a plane or the area it encloses is expressed in square metres.

An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a polygon with four sides and four angles that are each 90 degrees. A rectangle is a form with only two dimensions.

Area = length x width

Area = (8m³)² x (4x²m⁴)

Area = 64m⁶ x 4x²m⁴

Area = 256x²m¹⁰

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Answer:

BRAIn break

Step-by-step explanation: take deep breath breath in deeply and breath out deeply no ball up ur fist for 3 secs 123 no relax them

Answer:

$3.70

Step-by-step explanation:

4 quaters= 1$

4=1

8=2

12=3

7 dimes =70

so there for

$3.70

Answer:

$3. 70

Step-by-step explanation:

Each dime equals 10 cents. There are 7 dimes. 10+10+10+10=10+10+10= 70

Each quarter equals 25 cents. add 25, 12 times, 25,25,25,25,25,25,25,25,25,25,25,25=300. Just add a decimal.

The higher the RPN value, the more critical the risk. In this case, the RPN is 70 which is considered to be moderate and needs to be acted upon to prevent a possible outcome.

Risk Priority Number (RPN) is a quantitative way of prioritizing risk. To calculate RPN from the following: severity = 7, occurrence = 2, and detectability = 5, the following steps are used:

Step 1: Multiply severity, occurrence, and detectability to get the risk priority number (RPN). That is, 7 x 2 x 5 = 70.

Step 2: To calculate the RPN, make a list of all the potential risks and the severity, occurrence, and detectability ratings for each risk. The RPN is calculated by multiplying the severity, occurrence, and detectability ratings together. RPN values range from 1 to 1,000 or higher.

Step 3: Once you have identified the risks and calculated their RPN values, prioritize them.

The higher the RPN value, the more critical the risk. In this case, the RPN is 70 which is considered to be moderate and needs to be acted upon to prevent a possible outcome.

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Answer:

B

Step-by-step explanation:

a function doesn't have any repeating x values

Answer:

(a) The best answer for residuals plot (a) is:

A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

A fanned pattern in the residuals plot suggests that the linear model is not appropriate because the variability of the residuals increases as the values of the explanatory variable increases. This indicates that the linear model is not capturing all the important features of the data and may not be the best fit for the data.

(b) The best answer for residuals plot (b) is:

B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear.

A curved pattern in the residuals plot suggests that the linear model is not appropriate because the relationship between the variables is not linear. This indicates that the linear model is not capturing all the important features of the data and may not be the best fit for the data.

6 students can be seated in a row of 6 chairs in 121 ways.

Given,

Number of students = 6

Number of chairs = 6

We have to find the number of ways the students can be seated in a row.

Here,

Jack insists on sitting in the first chair.

So, 1 way of sitting for jack.

Next,

5 students and 5 chairs are there.

So they can sit in;

5! = 120 ways

Therefore,

Total number of way of sitting is 120 + 1 = 121 ways.

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Using lateral limits, it is found that the limit of the function does not exist.

The function is defined by parts, that is, it's rule depends on the input. The function is given by:

\(f(x) = -1 + x^2, x < 2\)

\(f(x) = -1 + x, x \geq 2\)

A limit is given by the value of function f(x) as x tends to a value. If the function is piece-wise, that is, it has multiple definitions, at the point of which the values of x changes, lateral limits have to be calculated.

The lateral limits are given by:

\(\lim_{x \rightarrow 2^{-}} f(x) = \lim_{x \rightarrow 2} -1 + x^2 = -1 + 2^2 = 3\)

\(\lim_{x \rightarrow 2^{+}} f(x) = \lim_{x \rightarrow 2} -1 + x = -1 + 2 = 1\)

Since the lateral limits at x = 2 are different, the limit of f(x) as x goes to 2 does not exist.

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Answer:

15,625

Step-by-step explanation:

5×5×5×5×5×5 = 15,625

Answer:

6441.46 (2d.p.)

Step-by-step explanation:

47×89= 4183÷(845)=0.571×879000=502434.319÷78= 6441.46

The least preferable and reliable method of selecting people to participate in a research study is convenience sampling.

Convenience sampling is a type of sampling in which you include people who are easy to reach. Convenience sampling is included in non-probability sampling because it doesn't include a random selection of the participants. Convenience sampling can be used when you need to conduct a study quickly or when you are on a shoestring budget as it is inexpensive compared to other methods of sampling.

It is the least preferable method because of the inability to generalize the result of the survey to the population as a whole. In addition to this, there is a possibility of under or over-representation of the population as a whole. The biggest problem with convenience sampling is dependence as the sample items are connected to each another in some way. This dependency interferes with statistical analysis.

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Answer:

b. 8.6

Step-by-step explanation:

lmk if it was right

The correlation coefficient that indicates the strongest relationship between two variables is a. -1.0.

The correlation coefficient is a numerical measure that quantifies the relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

In this case, a correlation coefficient of -1.0 represents a perfect negative correlation, meaning that the two variables have a strong, linear relationship where as one variable increases, the other decreases in a perfectly predictable manner. This indicates a very strong and consistent inverse relationship between the variables.

In comparison, a correlation coefficient of 0.80 indicates a strong positive correlation, but it is not as strong as a perfect negative correlation of -1.0. A correlation coefficient of 0.1 suggests a weak positive correlation, while a correlation coefficient of -0.45 indicates a moderate negative correlation.

Therefore, out of the given options, the correlation coefficient of -1.0 represents the strongest relationship between two variables.

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Answer: \(\text{Slope}=\Large\boxed{\dfrac{5}{8}}\)

Step-by-step explanation:

Given information

\((x_1,~y_1)=(14,~10)\)

\((x_2,~y_2)=(-10,~-5)\)

Given the formula for finding the slope

\(\text{Slope}=\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}\)

Substitute values into the given formula

\(\text{Slope}=\dfrac{(-5)-(10)}{(-10)-(14)}\)

Simplify by subtraction

\(\text{Slope}=\dfrac{-15}{-24}\)

Simplify the fraction

\(\text{Slope}=\dfrac{5\times(-3)}{8\times(-3)}\)

\(\text{Slope}=\Large\boxed{\dfrac{5}{8}}\)

Hope this helps!! :)

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The orbit type of the Molniya 1-91 satellite is Molniya orbit, characterized by a highly eccentric orbit inclined at an angle of 63.17 degrees to the Earth's equator. The orbital parameters, namely the semi-major axis (a) and the argument of perigee (ω), are required to determine the satellite's position and velocity vectors.

a) The Molniya 1-91 satellite follows a Molniya orbit, which is a type of highly eccentric orbit designed to provide extended dwell time over high latitudes. This orbit is characterized by a high inclination angle of 63.17 degrees with respect to the Earth's equator. Molniya orbits are commonly used for communication satellites that serve polar regions, as they spend a significant portion of their orbit over these areas.

b) To determine the orbital parameters of the Molniya 1-91 satellite, we need to extract the relevant information from the two-line element set. The semi-major axis (a) is not directly provided in the given data. However, we can calculate it using Kepler's third law and the mean motion (n) derived from the second line of the TLE. The argument of perigee (ω) is given as 281.6462 degrees in the TLE. These parameters, along with other orbital elements, are crucial for describing the satellite's orbit.

c) To calculate the position and velocity vectors of the Molniya 1-91 satellite in the geocentric equatorial coordinate frame, we need additional information. The TLE only provides elements related to the orbit's shape and orientation, not the satellite's current position and velocity. Position and velocity vectors can be determined by solving the equations of motion using the orbital parameters and mathematical models of celestial mechanics. However, without up-to-date information on the satellite's time and date, it is not possible to calculate these vectors accurately.

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The exponential function which shows the exponential growth rate of graduating women is: A(t) = A₀e∧(0.037t).

The following equation can be used to calculate an exponential function again for number of women graduating from four-year colleges in t years after 1930:

A(t) = A₀e∧(rt)

In which A₀ is the starting point and r is the exponential growth rate expressed as a decimal.

In 1930, 48780 women received a bachelor's degree.

This implies that;

A₀ = 48780

In 2004, approximately 756000  people

The year 2003 is 73 years after 1930, that also means

Using the equation as an example:

A(t) = A₀e∧(rt)

Put the values;

756000 = 48780 e∧(73r)

e∧(73r) = 756000/ 48780

e∧(73r) = 15.49

Taking log both side;

73r = ㏑ 15.49

r = 2.7/7

r = 0.037

The function becomes;

A(t) = A₀e∧(0.037t)

Thus, the exponential function which shows the exponential growth rate of graduating women is: A(t) = A₀e∧(0.037t).

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Answer: The equation v=4+2t represents a linear function with a y-intercept of 4 and a slope of 2.

To graph this equation, we can plot the y-intercept at (0,4) and then use the slope to find additional points. For example, if we increase t by 1, v will increase by 2:

t = 0, v = 4

t = 1, v = 6

t = 2, v = 8

t = 3, v = 10

Using these points, we can draw a line that represents the equation v=4+2t. The graph will look like a straight line with a positive slope that passes through the point (0,4).

Here's a rough sketch of what the graph might look like:

      |

   12 -

      |

      |

   10 -

      |

      |

    8 -   * (2,8)

      |       \

      |         \

    6 -           * (1,6)

      |             \

      |               \

    4 -   * (0,4)-------*-------*

      |                       \

      |                         \

    2 -                           * (3,10)

      |

      |

      |

      |

      ------------------------------

        0   1   2   3   4   5   6   t

The y-axis represents the volume of water in the bucket (v) and the x-axis represents the elapsed time (t) in minutes. The slope of the line is 2, which means that the volume of water increases by 2 units for every 1 unit increase in time.

Step-by-step explanation:

a) The probability of event A given that event B has occurred is 2/15.

b) The events A and B are not independent.

There are two ways in which this can happen: either the first throw is a 3 and the second throw can be any of the remaining five numbers (5 possibilities), or the first throw can be any of the remaining five numbers, and the second throw is a 3 (5 possibilities). Therefore, the probability of event B is:

P(B) = 1 - P(neither throw is 3) = 1 - (4/6)^2 = 1 - 4/9 = 5/9

Next, let's calculate P(A and B), which is the probability of the sum of the throws equaling 4 given that at least one of the throws is a 3.

Therefore, the probability of event A and B is:

P(A and B) = 2/36 = 1/18

Now, we can use the formula for conditional probability to calculate P(A|B):

P(A|B) = P(A and B) / P(B) = (1/18) / (5/9) = 2/15

To determine whether events A and B are independent, we need to check if the occurrence of one event affects the probability of the other event occurring.

Using these values, we can check if events A and B are independent:

P(A|B) = (1/18) / (5/9) = 2/15

P(A) = 3/36

Since P(A|B) ≠ P(A), events A and B are not independent.

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Relief refers to the highest and lowest point elevation in an area.

Relief

Relief is the term used for the differences in height from place to place on the land’s surface and it is greatly affected by the underlying geology. Relief relies on the hardness, permeability and structure of a rock.

elevation

The elevation of a geographic location is its height above or below a fixed reference point, most commonly a reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface.

geology

Geology describes the structure of the Earth on and beneath its surface, and the processes that have shaped that structure. It also provides tools to determine the relative and absolute ages of rocks found in a given location, and also to describe the histories of those rocks.

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Answer: Relief

Step-by-step explanation:

Relief refers to the highest and lowest point elevation in an area.

Slope is the measure of steepness

Topography refers to the arrangement of the land in an area

Elevation on the other hand is the distance above sea level

Answer:

15

Step-by-step explanation:

because even there are 20 candies there are just 15 stickers

There is only 1 real zero of the function.

What are Zeros of a Function?

The zeros of a function are the values of the function's variables that fulfil the equation and yield the function's value of 0. The zeros of a function can be represented graphically as the x-coordinates (x-intercepts) where the graph intersects the x-axis.

Solution:

As mentioned above,

The zeros of a function can be represented graphically as the x-coordinates (x-intercepts) where the graph intersects the x-axis.

So,

We can see that there is only one point where the graph intersects the x-axis.

Therefore, it can be said that there is only 1 real zero of the function.

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The fundamental regression assumption that the error terms are independent of one another is broken when substantial autocorrelation is shown following the estimation of a regression model. Here option C is the correct answer.

The two error factors must be somewhat co-correlated in order for there to be autocorrelation. Having it indicates that the correlation between the two error factors is not equal to zero. It goes against the fundamental tenet of the traditional linear regression approach.

Autocorrelation measures the relationship between a variable's current value and its historical values. A perfect positive correlation is represented by an autocorrelation of 1, whereas a perfect negative correlation is represented by an autocorrelation of 1.

An explanation of how one or more independent variables relate to the target variable, response variable, or dependent variable that the regression model predicts.

Complete question:

When severe autocorrelation is indicated after a regression model has been estimated, which underlying regression assumption is violated? A - The dispersion of population data points around the population regression line remains constant everywhere along the line

B - The population of values is normally distributed about the population regression line.

C - Heteroscedasticity

D - The error terms are independent of each other.

E - A linear relationship exists between X and Y in the population

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Answer:

The profit from each picture frame = $1.25

Step-by-step explanation:

The buying price for each picture frame = $5

As Jessie marks them up 25%.

Selling price = 5 + (25% × 5)

                     = 5 + (0.25 × 5)

                     = 5 + 1.25

                     = 6.25

As the selling price of each frame = $6.25

Buying price = $5

Thus, profit = selling price - buying price

                   = $6.25 - $5

                    = $1.25

Therefore, the profit from each picture frame = $1.25

Answer:

Raquel collected 30 marbles

Step-by-step explanation:

If there are 80 marbles, and Raquel has collected 3/8 of them, he has collected 30