A subway train starting from rest leaves a
station with a constant acceleration. At the
end of 8.06 s, it is moving at 21.0366 m/s.
What is the train’s displacement in the first
5.41632 s of motion?
Answer in units of m

Answer:

31/36

Step-by-step explanation:

1/12 + 7/9

convert to common denominators

3/36 + 28/36

add

31/36

f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1,  f(x) = 1 is a constant function, f(x) = 2 is a constant function

A constant function is a mathematical function whose output value is the same for every input value

From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies  that for every unit increase in x, the value of y increases by 1.

Also,  f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.

In the same way,  f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.

The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.

The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.

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To estimate the mean EPA combined city and highway mileage, the automaker conducted EPA mileage tests on a random sample of 35 midsize cars. The sample mean is 24, and the population standard deviation is 1.2. The task is to calculate the 70% confidence interval for the population mean.

To calculate the confidence interval, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Deviation / √(Sample Size))

First, we need to determine the critical value associated with a 70% confidence level. The critical value can be found using a standard normal distribution or a t-distribution, depending on the sample size and whether the population standard deviation is known.

Since the sample size is relatively large (n = 35), we can use the standard normal distribution. The critical value for a 70% confidence level corresponds to a z-score of ±1.036.

Next, we calculate the margin of error:

Margin of Error = (Critical Value) * (Standard Deviation / √(Sample Size)) = 1.036 * (1.2 / √35) ≈ 0.380

Finally, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = Sample Mean - Margin of Error = 24 - 0.380 ≈ 23.62

Upper Bound = Sample Mean + Margin of Error = 24 + 0.380 ≈ 24.38

Therefore, the 70% confidence interval for the mean EPA combined city and highway mileage is approximately 23.62 to 24.38.

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If the function f(x) = |x-5| + 2, then the value of f(3) is 4

The function

f(x) = |x-5| + 2

The function is defined as the mathematical statement that shows the relationship between the independent variable and the dependent variable. The function consist of different variables, numbers and mathematical operators

Here the function consist of the absolute value symbol.

|-a| = a

The absolute value of the positive and the negative number will be always positive.

The function is f(x) = |x-5| + 2

Then,

f(3) = |3-5| + 2

= |-2| + 2

= 2 + 2

= 4

Therefore, the value of f(3) is 4

I have answered the question in general, as the given question is incomplete

The complete question is:

If f(x)=|x−5| + 2, find the value of f(3).

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Answer:

(12, 18)

Step-by-step explanation:

Desmos Graphing Calculator will be your bestfriend! :)

Answer:

519.90

Step-by-step explanation:

(64.94x2)+6(5x13) = 519.90

we can say that the entries in the matrix are highly constrained, with only one unique value per row or column. The matrix is usually denoted as a scalar multiple of the identity matrix or a vector of constants, depending on whether it is row-wise or column-wise identical.

In the row-wise identical matrix, all entries in each row are the same, but the entries in different rows can be different.

In the column-wise identical matrix, all entries in each column are the same, but the entries in different columns can be different.

Thus, we can say that the entries in the matrix are highly constrained, with only one unique value per row or column. The matrix is usually denoted as a scalar multiple of the identity matrix or a vector of constants, depending on whether it is row-wise or column-wise identical.

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Answer:

(4,8)

Step-by-step explanation:

The solution is where the two lines intersect.

The graphs intersect at x=4 and y = 8

(4,8)

Answer:    B: (4,8)

Step-by-step explanation:

y = 3x +2           you will go to positive to on the graph and go up 3 and to the right two because it is positive until you can't no more.

y = -6x + 32

you will go to +32 on the graph and then go down six and since there is no number under -6 you will replace it with one so it will look like this -6x/1

Discrete-data is a category of quantitative information that has countable or finite values.

This indicates that there are no intermediate values between the precise numerical values that can be used to convey the data; only those values can be used. The number of siblings a person has, the number of pets a home has, and the number of individuals in a room are all examples of discrete data.

Numerous statistical methods, such as measures of central tendency like the mean, median, and mode, as well as measures of dispersion like range and standard deviation, can be used to analyse discrete data. Additionally, discrete data can be displayed graphically using tools like bar charts and frequency histograms.

A discrete data set is the number of stories in a skyscraper in Manhattan. A continuous data set, on the other hand, can be divided into ever-smaller pieces and can take on any value within a range. Therefore (b), "A discrete data set because the possible values can be counted."

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Answer:

1/3 degreees/min

Step-by-step explanation:

In 15 min, temp. rises by 10 degrees

This means that 10 degrees / 15 min = 2 deg / 3 min

1/3 degree/min

The unit rate of change in °F per minute is 0.667°F/ min .

An equation is a statement formed when variables are equated by a constant or another variable by an equal sign.

It is given that

The rate of increase of temperature with increasing time is given

The unit rate of change in °F per minute has to be determined .

In 15 minutes , the temperature changes by  10°F

The rate of unit change is 10 / 15 = 0.667

20/30 = 0.667

40/60 = 0.667

Therefore the unit rate of change in °F per minute is 0.667°F/ min .

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Answer:

D) x = -8

Step-by-step explanation:

All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.

Regression analysis is a statistical technique used to predict the value of a quantitative variable based on another quantitative variable i.e., the given statement is true.

Regression analysis is widely used when there is an interest in understanding how one quantitative variable, known as the dependent variable or response variable, is influenced by another quantitative variable, known as the independent variable or predictor variable.

The goal is to establish a mathematical relationship between the variables that can be used for prediction and inference.

In regression analysis, a model is built based on the observed data to estimate the relationship between the variables. The model takes into account the variability in the data and provides insights into the strength and direction of the relationship.

By analyzing the model's coefficients, such as the slope and intercept, predictions can be made about the dependent variable's values for different levels of the independent variable.

Regression analysis allows for the assessment of the significance of the relationship, the quantification of the effect of the predictor variable on the response variable, and the estimation of the prediction accuracy.

It provides a valuable tool for making informed decisions, conducting research, and understanding the underlying factors that contribute to the variability of the dependent variable.

Therefore, it is true that regression analysis is useful when predicting the value of a quantitative variable based on another quantitative variable.

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The project consists of four activities: A, B, C, and D. The normal completion times for these activities are 5, 8, 1, and 5 weeks, respectively.

The project activities are labeled as A, B, C, and D, with their respective normal completion times of 5, 8, 1, and 5 weeks. Activity B has the potential to be crashed, meaning its completion time can be reduced from 8 weeks to 3 weeks. The crash time for activity B is 2 weeks.

Crashing an activity involves allocating additional resources, such as manpower or equipment, to expedite its completion. However, this acceleration comes at an additional cost. In this case, crashing activity B by 2 weeks incurs a cost of $2,000. The crash time for activity B is determined by subtracting the crash time from the normal completion time, resulting in a new completion time of 3 weeks.

Overall, the project has a critical path, which is the longest path of activities that determines the minimum time required for the project's completion. In this scenario, the critical path includes activities A, B, and D, with a total duration of 13 weeks (5 weeks for A, 3 weeks for B, and 5 weeks for D). By crashing activity B, the project's overall duration can be reduced by 5 weeks, resulting in a more expedited completion time.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

3 times

Step-by-step explanation:

6 x 3 = 18

Answer:

3

Step-by-step explanation:

18/6 = 3

or

6 + 6 + 6 = 18

If {v1, v2, v3} is an orthonormal basis for a subspace W of a vector space V, then multiplying v3 by a non-zero scalar c does not necessarily give a new orthonormal basis for W.

To see why, consider the dot product of cv3 with itself. If v3 is an orthonormal vector, then its norm is 1, so the dot product of cv3 with itself is (cv3) • (cv3) = c^2(v3 • v3) = c^2(1) = c^2. Thus, cv3 has a norm of |c|, rather than 1, and so it cannot be an element of an orthonormal basis for W.

However, multiplying v3 by a scalar does give a new basis for W. Specifically, {v1, v2, cv3} is a basis for W if c is non-zero, since v1 and v2 are orthogonal to cv3, and any vector in W can be written as a linear combination of these three vectors. But this new basis is not orthonormal, since cv3 has a norm of |c|. To obtain an orthonormal basis from this new basis, we can normalize each vector in the basis by dividing it by its norm.

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The equations of the diagonals of the rhombus are; y = ²/₅x + 27/5

The general form of the equation  of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, we are told that the diagonals of a rhombus meet at the point (-1, 5). Now, one of the diagonals is parallel to the line 5y = 2x.

Let us write 5y = 2x in slope intercept form to get the slope;

5y = 2x

y = ²/₅x

Thus, slope = ²/₅

Since the diagonal is parallel, then it will also have the same slope and as such, the equation is;

y - 5 = ²/₅(x - (-1))

y - 5 = ²/₅(x + 1)

y = ²/₅x + ²/₅ + 5

y = ²/₅x + 27/5

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Answer:

C(0,q)

Step-by-step explanation:

To find the coordinate of point C, we need to use the fact that opposite sides of a parallelogram are parallel and equal in length. Therefore, the x-coordinate of point C must be equal to the x-coordinate of point D, and the y-coordinate of point C must be equal to the y-coordinate of point E. Using the given coordinates, we have:

C(x, y)

D(0, q)

E(-r, 0)

So, we know that x = 0 and y = 0. Therefore, the coordinate of point C is (0, q).

Answer:

What is the question??

Step-by-step explanation:

Answer:

does not terminate

Step-by-step explanation

1/12 = 0.0833333333333333333333333333333333333333333

it continues. Hence it is does not terminate.

Answer:  5 pieces

===================================================

Explanation:

Note how

(number of pieces)*(length per piece) = 5*(3/5) = 15/5 = 3

which is the total length of the original rope.

So that's why the answer is 5.

We can get this answer through either guess and check, or we can divide 3 over 3/5 like so

3 divide 3/5 = (3/1) divide by (3/5) = (3/1)*(5/3) = 15/3 = 5

The second fraction 3/5 flips when we divide by it. Also the division changes to a multiplication when we flip the second fraction.

P(X < 4) = 0.8059

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem we have that:

In which

P(X < 4) = 0.8059

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Answer:

Option A ( 86 Degrees)

Step-by-step explanation:

To convert Celsius to Fahrenheit formula is:

\(F = \frac{9}{5} C + 32\)

\(F = \frac{9}{5} 30 + 32\)

\(F = 54 + 32\)

\(F = 86 Degree\)

The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.

To calculate the proportion of vegetarians to non-vegetarians in Bradley's country, one needs to first assess the amount of vegetarians and non-vegetarians living there.

This can be accomplished through reliance on surveys, census data, or further research methods. By dividing the number of vegetarians in comparison to the total number of both vegetarians and non-vegetarians, one can generate a ratio that reveals this information.

For example, let's say Bradley's country contains 5 million vegetarians among a general population of 50 million people. The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.

Similarly, as Bradley attempts to distinguish appropriate vegetable, meat, and dessert recipes for his cookbook - 10%, 18%, and 42% respectively - he can utilize this same formula. As an example it could be assumed that if there are 150 recipes in total then 15 would incorporate vegetables as part of their contents - 10% out of 150 recipes - while 30% or 27 recipes would idealized around containing meat components as well as 70% or 63 desserts.

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Answer:

R

Step-by-step explanation:

R since it is staying in the same place which is called a constant line. It stays in the same place since she isn't moving, she is just standing there waiting for the cab.  Plz mark as brainliest

Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

Answer:

4/3

Step-by-step explanation:

Slope is calculated by \(\frac{y1-y2}{x1-x2}\) so now you pul the points (10,2) and (19,14) into that.

\(\frac{14-2}{19-10}\) = \(\frac{12}{9}\)

12/9 can be simplified to be 4/3

Answer:

4/3

Step-by-step explanation:

Given,

Two points are (10,2) and (19,14)

To find the slope of the line passing through these points.

The derivative of the function y = x^2x using logarithmic differentiation is dy/dx = x^2x(2 + 2ln(x)).

To find the derivative of the function y = x^2x using logarithmic differentiation, we follow these steps:

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To find the derivative of the function y = x^(2x) using logarithmic differentiation, we take the natural logarithm of both sides, apply logarithmic properties, and then differentiate implicitly.

Start by taking the natural logarithm of both sides of the equation:

ln(y) = ln(x^(2x))

Apply the power rule of logarithms to simplify the expression:

ln(y) = 2x * ln(x)

Now, differentiate both sides of the equation implicitly with respect to x:

(1/y) * dy/dx = 2 * ln(x) + 2x * (1/x)

Simplify the expression:

(1/y) * dy/dx = 2 * ln(x) + 2

Multiply both sides by y to isolate dy/dx:

dy/dx = y * (2 * ln(x) + 2)

Substitute the original value of y = x^(2x) back into the equation:

dy/dx = x^(2x) * (2 * ln(x) + 2)

The derivative of the function y = x^(2x) using logarithmic differentiation is dy/dx = x^(2x) * (2 * ln(x) + 2). Logarithmic differentiation is a useful technique for differentiating functions that involve exponentials or complicated algebraic expressions, as it allows us to simplify the calculation by taking the logarithm of both sides and then differentiating implicitly.

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