02.06 MC)Simplify the expression (3–21)+ (1+5i). (5 points)

So, the average speed of the train is 54.09 miles per hour.

To calculate the average speed of the train for the entire trip, you need to find the total distance traveled and the total time traveled.

First, you can convert the time traveled at each speed to hours. 40 minutes is equal to 40/60=0.67 hours. So the total time traveled is 1+0.67=1.67 hours.

To find the total distance traveled, you can use the formula: distance = speed x time. At 45 mph, the distance traveled is 45 x 0.67 = 30.15 miles. At 60 mph, the distance traveled is 60 x 1 = 60 miles. Therefore, the total distance traveled is 30.15 + 60 = 90.15 miles.

Finally, you can use the formula: average speed = total distance / total time.

Average speed = 90.15 miles / 1.67 hours = 54.09 miles per hour.

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The given board measures include 30 pieces of 4x4x12' lumber, 144 pieces of 2x8x16' lumber, and 19 pieces of 2x6x6' lumber.

In the first measure, there are 30 pieces of lumber, each measuring 4 inches by 4 inches by 12 feet. This implies that each piece has a width and depth of 4 inches and a length of 12 feet.

In the second measure, there are 144 pieces of lumber, each measuring 2 inches by 8 inches by 16 feet. Each piece has a width of 2 inches, a depth of 8 inches, and a length of 16 feet.

Finally, the third measure consists of 19 pieces of lumber, each measuring 2 inches by 6 inches by 6 feet. This means that each piece has a width of 2 inches, a depth of 6 inches, and a length of 6 feet.

These board measures provide information about the quantities and dimensions of the lumber pieces, enabling accurate planning and estimation for construction or woodworking projects.

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To determine the value of v that makes the equation true, we have to solve the equation and obtain the value of v

The value of v that makes the equation true is v=8

Answer:

irrational

Step-by-step explanation:

9/11 is a decimal that gets repeated so it is irrational

Answer:

11

Step-by-step explanation:

The three computations covered by the reliability factor table are sample size, index of reliability, and index of precision. Sample size deals with the size of the sample being used in order to achieve a desirable level of reliability.

Index of reliability is used to measure the consistency of results achieved over multiple trials. It does this by calculating the total number of items that contribute significantly to the final result. Finally, the index of precision measures the effect size of the sample, which is determined by comparing the results from the sample with the expected results.

The sample size computation gives the researcher an idea of the number of items that should be included in a sample in order to get the most reliable results. This is done by taking into account a number of factors including the variability of the population, the type of measurements used, and the desired level of accuracy.

The index of reliability is commonly calculated by finding the ratio of the number of items contributing significantly to the total result to the total number of items in the sample. This ratio is then multiplied by 100 in order to get a final score.

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Answer: 101000

Step-by-step explanation: It would be rounded to 101000 because the nearest 100 would be a 1000.

Answer: 111,000 because when you round 994 you get a thousand because that’s the next hundred so you get 111,000

Step-by-step explanation:

The term which contains A⁶ in the given binomial expansion as required to be determined is; 17010A⁶B⁴.

It follows from the task content that the term which contains A⁶ in the binomial expansion is to be determined.

From binomial expansions; the term containing A⁶ in the expansion would be the fifth term and it's coefficient would be; ¹⁰C⁴ = 210.

Therefore, the term would be; 210 (A)⁶ (3B)⁴.

= 210A⁶ • 81B⁴

= 17010A⁶B⁴.

Ultimately, the term that contains A⁶ in the binomial expansion is; 17,010A⁶B⁴.

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Answer:

A

Step-by-step explanation:

Tangents that are both tangent to a same point equal each other. sk

\(2x + 70 = 128\)

\(2x = 58\)

\(x = 29\)

Answer:

Step-by-step explanation:

Explanatory variables in a regression model are typically considered to be random when they are subject to variability or uncertainty. There are several reasons why explanatory variables may be treated as random:

Measurement error: Explanatory variables may be measured with some degree of error or imprecision. This measurement error introduces randomness into the values of the variables. Accounting for this randomness is important to obtain unbiased and accurate estimates of the regression coefficients.

Sampling variability: In many cases, the data used to estimate the regression model are obtained through sampling. The values of the explanatory variables in the sample may differ from the true population values due to random sampling variability. Treating the explanatory variables as random helps capture this uncertainty and provides more robust inference.

Random assignment in experiments: In experimental studies, researchers often manipulate or assign values to the explanatory variables randomly. This random assignment ensures that the variables are not influenced by any underlying factors or confounders. Treating the explanatory variables as random reflects the randomization process used in the experiment.

By considering the explanatory variables as random, we acknowledge and account for the inherent variability and uncertainty associated with them. This allows for a more comprehensive and accurate modeling of the relationships between the explanatory variables and the response variable in regression analysis.

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Answer: 0.714

Step-by-step explanation:

Yes, it does have a circuit. This is because a connected graph with nine vertices and twelve edges is guaranteed to have at least one circuit.

A circuit is a path that starts and ends at the same vertex while visiting all other vertices exactly once. A connected graph with n vertices and 2n edges is guaranteed to have at least one circuit. This is because each edge in the graph contributes to two paths (one in each direction), and the total number of paths must be equal to the number of edges. Since a graph with nine vertices and twelve edges has more edges than vertices, it is guaranteed to have at least one circuit. Therefore, the graph does indeed have a circuit.

The complete question is : a connected graph has nine vertices and twelve edges. does it have a circuit? why or why not? the graph has a circuit because a connected graph with n vertices and 2n edges is guaranteed to have at least one circuit.

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a. The expected time until departure from the system when arriving to find all three servers busy and no one waiting can be calculated as (3/2(mu_1+mu_2+mu_3)).

b. The expected time until departure from the system when arriving to find all three servers busy and one person waiting can be calculated as (5/2(mu_1+mu_2+mu_3)).

a. In order to calculate the expected time until departure from the system when arriving to find all three servers busy and no one waiting, we can use the following formula:

E(T) = 1/3 * [1/mu_1 + 1/mu_2 + 1/mu_3 + (1/(mu_1+mu_2+mu_3))]

where E(T) represents the expected time until departure and mu_1, mu_2, and mu_3 represent the service rates of each server.

By substituting the given values into the formula, we get:

E(T) = 1/3 * [1/mu_1 + 1/mu_2 + 1/mu_3 + (1/(mu_1+mu_2+mu_3))]

= 1/3 * [1/μ_1 + 1/μ_2 + 1/μ_3 + (1/(μ_1+μ_2+μ_3))]

= (1/μ_1 + 1/μ_2 + 1/μ_3 + (1/(μ_1+μ_2+μ_3)))/3

Simplifying this expression gives us:

E(T) = (3/2(mu_1+mu_2+mu_3))

Therefore, the expected time until departure from the system when arriving to find all three servers busy and no one waiting is (3/2(mu_1+mu_2+mu_3)).

b. When one person is already waiting in the system, the expected time until departure can be calculated using the following formula:

E(T) = 1/2(mu_1+mu_2+mu_3) + 1/μ_min

where μ_min is the smallest service rate among the three servers.

The reasoning behind this formula is that the customer who has been waiting the longest will begin service immediately when a server becomes free, while the customer who arrived most recently will wait until all the other customers ahead of them have been served.

Therefore, the expected time until departure in this case is the expected waiting time for the customer who has been waiting the longest plus the expected service time for the next customer in line.

Since the service times are exponentially distributed, the expected service time for a server with rate mu is 1/mu. Therefore, the expected service time for the customer who is next in line is 1/μ_min.

By substituting the given values into the formula, we get:

E(T) = 1/2(mu_1+mu_2+mu_3) + 1/μ_min

= (μ_min/2(μ_1+μ_2+μ_3)) + (1/μ_min)

Therefore, the expected time until departure from the system when arriving to find all three servers busy and one person waiting is (μ_min/2(μ_1+μ_2+μ_3)) + (1/μ_min), or equivalently, (5/2(mu_1+mu_2+mu_3)) if we substitute μ_min = min(μ_1, μ_2, μ_3).

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The statement that no  ε > 0 such that the e-neighborhood of x in rn is cont ained in u is true, and no such ε exists.

To show that there is no ε > 0 such that the ε-neighborhood of x in ℝ^2 is contained in the open ball B(o; 1), we can consider the point y = (0, ε/2) in ℝ^2.

Since y lies on the y-axis and has a positive y-coordinate, it is in the ε-neighborhood of x. However, y does not lie within the open ball B(o; 1) since its distance from the origin o is √(0^2 + (ε/2)^2) = ε/2, which is less than 1.

Therefore, for any ε > 0, there exists a point y in the ε-neighborhood of x that is not contained in the open ball B(o; 1). This implies that there is no ε > 0 such that the ε-neighborhood of x in ℝ^2 is entirely contained in B(o; 1).

Hence, we have shown that the statement is true, and no such ε exists.

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Answer:

32 and a half

Step-by-step explanation:

Answer:38

Step-by-step explanation:

they were born in 1933 and 1971 minus 1933 is 38.

Answer:

b

Step-by-step explanation:

Answer:

hola yo me llamo jimena

Step-by-step explanation:

ok yo pues no de que hablas me podrías

The total volume of juice in the 5 glasses is 925 milliliters. To find the total volume of juice in the 5 glasses, we simply need to multiply the volume of juice in one glass by the number of glasses.

In this case, each glass contains 185 milliliters of juice and Ian has stacked 5 glasses, so we can use the formula:
Total volume of juice = Volume of juice per glass x Number of glasses
Plugging in the numbers, we get:
Total volume of juice = 185 ml/glass x 5 glasses
Total volume of juice = 925 ml

Therefore, the total volume of juice in the 5 glasses is 925 milliliters. This is a simple example of using multiplication to find the total quantity of something when we know the amount in one unit and the number of units. In this case, we were able to find the total volume of juice by multiplying the volume in one glass by the number of glasses.

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Answer:

6558.75

Step-by-step explanation:

total value of 100 logs = total value of an average log x 100 total value of an average log = length of an average log x price per board foot

8.25 x 7.95 = 65.5875

65.5875 x 100 = 6558.75

Answer:

351

Step-by-step explanation:

Answer:

Step-by-step explanation:

HOPE IT HELP

Answer:

45/4 or 11 1/4

Step-by-step explanation:

0.25 is 1/4 as a fraction so it as a mixed number is 11 1/4. Improper fraction is 45/4.

Hewo There! my name is Neko And I'll be helping you! ;-)

Answer:

11.25 as a fraction is 45/4.

Step-by-step explanation:

To convert the given decimal to a fraction, we can do the following steps.

Step 1: We rewrite the decimal as a fraction with a denominator of one.

\(11.25=\frac{11.25}{1}\)

Step 2: We multiply the numerator and denominator by 100.

\(11.25=\frac{11.25~x~100}{1~x~100}\)

\(11.25=\frac{1125}{100}\)

Step 3: We simplify the resulting fraction.

\(11.25=\frac{45~x~25}{4~x~25}\)

\(11.25=\frac{45}{4}\)

Therefore, 11.25 as a fraction is 45/4.

-Neko-

Answer:

$1.20

Step-by-step explanation:

This time I'm not going to explain in words (I gave a very wordy explanation in the last answer that will basically give you the same information that I would give you for this question) but I will show the work in numbers.

3.60/3 = 1.20

7.20/6 = 1.20

10.80/9 = 1.20

We are given the values of a and b and an equation involving exponents. We need to solve for the value of x.

The given equation is \((a)^2\) =\((b)^2\) * \((x)^2\).

We can solve for x by isolating it on one side of the equation. Let's rewrite the equation: \((a)^2\) = \((b)^2\) * \((x)^2\)

Taking the square root of both sides, we have: \(\sqrt{a^2}\)= \(\sqrt{b^2}\) * \((x)^2\)

Simplifying further, we get: a = b * x

Now we can solve for x by dividing both sides of the equation by b: x = a / b.

Substituting the given values of a and b into the equation, we have: x = 0.697 / 0.6

Evaluating this expression, we find: x ≈ 1.162

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probably this would help.

The longest line segment that may be drawn in one of these pieces is l and l^2 is 108.

Diameter is 12cm and radius is 6cm.

Central angle of one arc = 360 deg / 3 = 120 deg

I^2 = 108.

A circle is a figure composed of a given point, that is, every point on a plane that lies at a given distance from  the center. Equivalently, it is a curve describing points moving along a plane such that the distance from a given point is constant. The distance between a point on a circle and its center is called the radius. In general, the radius should be a positive number. This article is about circles in Euclidean geometry, specifically the Euclidean plane unless otherwise noted.

A line segment is a line segment that can connect two points. It is endless and extends endlessly in both directions. If you mark two points A and B on it and select these segments separately, they will be straight segments.

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Answer:

The probability that they will both break down would be 8%

Step-by-step explanation:

I believe it is 8% (sorry if its wrong) because tractor 1 is 3% and tractor 2 is 5% add them together and that is where you get 8%

The length of a truck is an example of a continuous data set, and 20 feet is just one possible value within that range.

The given value, "a truck with a length of 20 feet," is an example of a continuous data set.

Continuous data refers to values that can take on any numerical value within a range, with no gaps or interruptions. In this case, the length of a truck can take on any value between 0 and some maximum length, with no gaps or interruptions in between.

In contrast, discrete data refers to values that can only take on certain specific values, usually integers. For example, the number of tires on a truck is a discrete data set because it can only take on integer values (e.g. 4, 6, 8).

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