A train is traveling at a velocity of 88 feet per second when it hits its brakes. It slows down at a constant rate of 0.8 feet per second each second until it stops. DO NOT ROUND YOUR ANSWERS. 1) How long will it take the train to stop? Answer in decimal form. It will take the train seconds to stop. 2) After it hits its brakes, how many feet will it travel before it stops? Answer in decimal form. The train will take feet to stop.

Answer:

$9.6; 20%

Step-by-step explanation:

$8*(1+20%) = $8*(1.2) = $9.6

The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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A) we would send Order A to Factory 3.

B) we would send both Order B and Order C to Factory 3.

B 7,000 Factory 3

C 30,000 Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

To make decisions about which factory to send the orders to on Monday and Tuesday, we need to compare the costs per unit for each factory and consider the total number of units to be produced. Let's go through each day's scenario and make the production decisions.

a) Monday: Order A for 15,000 units

To decide which factory to send the order to, we compare the costs per unit for each factory. We select the factory with the lowest cost per unit to minimize the average cost per unit for the company.

Let's assume the costs per unit for each factory are as follows:

Factory 1: $10 per unit

Factory 2: $12 per unit

Factory 3: $9 per unit

To calculate the total cost for each factory, we multiply the cost per unit by the number of units:

Factory 1: $10 * 15,000 = $150,000

Factory 2: $12 * 15,000 = $180,000

Factory 3: $9 * 15,000 = $135,000

Based on the calculations, Factory 3 has the lowest total cost for producing 15,000 units, with a total cost of $135,000. Therefore, we would send Order A to Factory 3.

b) Tuesday: Order B for 7,000 units and Order C for 30,000 units

We have two options: sending each order to a separate factory or sending both orders to the same factory. We need to compare the average cost per unit for each option and select the one that results in the lowest average cost per unit.

Let's assume the costs per unit for each factory remain the same as in the previous example. We will calculate the average cost per unit for each option:

Option 1: Sending orders to separate factories

For Order B (7,000 units):

Average cost per unit = ($10 * 7,000) / 7,000 = $10

For Order C (30,000 units):

Average cost per unit = ($9 * 30,000) / 30,000 = $9

Total number of units produced for the company today = 7,000 + 30,000 = 37,000

Average cost per unit for all production today = ($10 * 7,000 + $9 * 30,000) / 37,000 = $9.43 (rounded to two decimal places)

Option 2: Sending both orders to the same factory (Factory 3)

For Orders B and C (37,000 units):

Average cost per unit = ($9 * 37,000) / 37,000 = $9

Comparing the two options, we see that both options have the same average cost per unit of $9. However, sending both orders to Factory 3 simplifies the production process by consolidating the orders in one factory. Therefore, we would send both Order B and Order C to Factory 3.

Production Report for Tuesday:

Order # of Units Factory

B   7,000      Factory 3

C  30,000    Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

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The solution for the system of equations is (-19,55).

As given the equations in the question

y = –3x – 2

Simplify the above

y + 3x = -2

5x + 2y = 15

Multiply y + 3x = -2 by 2 and subtracted from 5x + 2y = 15.

2y - 2y + 5x -6x = 15 + 4

-x = 19

x = -19

Putting the value of x in the equation y + 3x = -2.

y + 3 × - 19 = -2

y - 57 = -2

y = -2 + 57

y = 55

Therefore the solution for a system of equations is (-19,55).

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To solve for e in the equation 17 + e + 11 = 56, we can start by simplifying the left-hand side by combining the like terms of 17 and 11:

17 + e + 11 = 56

28 + e = 56

Next, we can isolate the variable e on one side of the equation by subtracting 28 from both sides:

28 + e - 28 = 56 - 28

e = 28

Therefore, the solution for e is e = 28.

We can check our answer by substituting e = 28 back into the original equation:

17 + e + 11 = 56

17 + 28 + 11 = 56

56 = 56

Since the left-hand side equals the right-hand side, we can conclude that e = 28 is the correct solution to the equation.

price per house : $250,000

number of houses: 9

To find how much he will earn (y) we have to multiply the price per house by the number of houses (x).

y = 250,000 x

Where x is the independent variable (number of houses) and y is the dependent variable (earnings)

Replacing x by the number of houses:

y = 250,000 ( 9) = $2,250,000

Option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B

According to the information given in the question,

A true proportion of 0.325 represents that the two simulations will be conducted for sampling proportions from a population

Simulation A -

Sample size - 100

Trials - 1500

Simulation B -

Sample size - 50

Trials - 2000

Now due to the relation of simulation A and simulation B, they are closely equal-

The total sample size of simulation A= 1500 x 100

= 150000

The total sample size of simulation B = 2000 x 50

= 100000

From the above calculations of simulations A and B, we can see that while comparing the,

Sample Size = Simulation A > Simulation B

Variability = Simulation B < Simulation B

Therefore, option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B is correct.

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In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

Answer:

A

Step-by-step explanation:

The ribbons length goes highest to lowest from blue, red and yellow

Answer:

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by

Assuming rocket launched at t = 0 and height is measured above sea level in meters.

Step-by-step explanation:

Answer:

atleast 95 degrees

Step-by-step explanation:

A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.

In the given question,

The confidence level = 99%

Given width = 0.5

Standard deviation of resistance(\(\sigma\))= 1.55

We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.

The formula to find the a big sample that should the experimenter take from the population is

Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)

So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)

where n=sample size

We firstly find the value of ME and \(z_{\alpha /2}\).

Firstly finding the value of ME.

ME=Width/2

ME=0.5/2

ME=0.25

Now finding the value of \(z_{\alpha /2}\).

Te given interval is 99%=99/100=0.99

The value of \(\alpha\) =1−0.99

The value of \(\alpha\) =0.01

Then the value of \(\alpha /2\) = 0.01/2 = 0.005

From the standard table of z

\(z_{0.005}\) =2.58

Now putting in the value in formula of sample size.

n\(=(2.58\times\frac{1.55}{0.25})^2\)

Simplifying

n=(3.999/0.25)^2

n=(15.996)^2

n=255.87

n≈256

Hence, the sample that the experimenter take from the population is 256.

Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.

The new values,

Standard deviation of resistance(\(\sigma\))= 2×1.55

Standard deviation of resistance(\(\sigma\))= 3.1

width = 2×0.5

width = 1

Now the value of ME.

ME=1/2

ME=0.5

The z value is remain same.

Now putting in the value in formula of sample size.

n\(=(2.58\times\frac{3.1}{0.5})^2\)

Simplifying

n=(7.998/0.5)^2

n=(15.996)^2

n=255.87

n≈256

Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.

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Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:

1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.

2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.

3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.

4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.

5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.

6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.

By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.

Hope this helped you...

Answer: -7

Step-by-step explanation:

Answer:

-5+6-8

-5+6=1

1-8=-7

because if u own someone five dollars and you have six dollars you can pay the person and it will remain one dollar. And the one dollar you own another person eight dollars you can give the person the one dollar for the mean time while it will be remaining seven dollars for you to pay the person

Answer:

Step-by-step explanation:

Given equation is,

x² + (p + 1)x = 5 - 2p

x² + (p + 1)x - (5 - 2p) = 0

x² + (p + 1)x + (2p - 5) = 0

Properties for the roots of a quadratic equation,

1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]

2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]

3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].

Discriminant of the given equation = \((p+1)^2-4(1)(2p-5)\)

For real roots,

\((p+1)^2-4(1)(2p-5)>0\)

p² + 2p + 1 - 8p + 20 > 0

p² - 6p + 21 > 0

For all real values of 'p', given equation will be greater than zero.

a) At least 95% of the boxes contain 390 or more working devices if k = 390.

This can be determined using the cumulative distribution function (CDF) of a binomial distribution. The CDF gives the probability that a random variable is less than or equal to a certain value.

In this case, the random variable is the number of working devices in a box and the value is 390. The CDF can be calculated using a binomial calculator or approximated using a normal distribution with the same mean and variance.

The result is the probability that at least 390 devices work in a box, which is approximately 95%.

b) The largest k such that at least 95% of the boxes meet the warranty is 396.

To determine this value, we need to find the largest k such that the CDF of the binomial distribution is greater than or equal to 0.95. This can be done by solving for k in the equation CDF(k) = 0.95, or by using a binomial calculator to find the k that gives a probability closest to 0.95.

The result is k = 396, which means that if 396 or more devices per box work, at least 95% of the boxes will meet the warranty.

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Step-by-step explanation:

4x^2 + 15 = -9

4x^2 = -24

x^2 = -12

x = 2√3i

Answer:

C because 5 times any of the numbers do not equal the y value

Step-by-step explanation:

The general solution to the differential equation y" + 8y' + 25y = 0 is:

y = c1 * e^(-4x) * cos(√6x) + c2 * e^(-4x) * sin(√6x)

A second-order linear homogeneous differential equation is a differential equation of the form: a(d²y/dx²) + b(dy/dx) + cy = 0

where "a," "b," and "c" are constants, and y is a function of x. The equation is "homogeneous" because all terms are of degree zero (i.e., they are all functions of y and its derivatives). The equation is "linear" because y and its derivatives appear only to the first power.

To find the general solution to the second-order linear homogeneous differential equation y" + 8y' + 25y = 0, we can assume the solution takes the form of a complex exponential function. Let's proceed with the following steps:

Assume the solution is of the form y = e^(rx), where r is a complex number.

Substitute this assumed solution into the differential equation:

y" + 8y' + 25y = 0

(e^(rx))" + 8(e^(rx))' + 25(e^(rx)) = 0

Differentiate the assumed solution:

y' = r(e^(rx))

y" = r^2(e^(rx))

Substitute the derivatives back into the differential equation:

(r^2(e^(rx))) + 8(r(e^(rx))) + 25(e^(rx)) = 0

Factor out e^(rx):

e^(rx) * (r^2 + 8r + 25) = 0

Since e^(rx) is never zero, we can solve the quadratic equation:

r^2 + 8r + 25 = 0

Using the quadratic formula, we find:

r = (-8 ± √(8^2 - 4 * 1 * 25)) / 2

r = (-8 ± √(-24)) / 2

r = (-8 ± 2√6i) / 2

r = -4 ± √6i

The general solution can be written as a linear combination of real and imaginary parts:

y = c1 * e^(-4x) * cos(√6x) + c2 * e^(-4x) * sin(√6x)

Therefore, the general solution to the differential equation y" + 8y' + 25y = 0 is:

y = c1 * e^(-4x) * cos(√6x) + c2 * e^(-4x) * sin(√6x)

where c1 and c2 are arbitrary constants.

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Answer:

the answer is the second one: the cost for every one videogame rented.

Step-by-step explanation:

Each videogame costs $5.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

The equation of the parabola with focus at f(0 -4) and directrix x = 4 is

y² = 16x.

A parabola is a quadratic function graph. A parabola, according to Pascal, is a circle's projection. Galileo demonstrated that projectiles falling under the influence of uniform gravity have a path known as a parabolic path. Many bodily motions follow a curvilinear route that is shaped like a parabola. In mathematics, a parabola is any mirror-symmetrical planar curve that has an approximate U shape. The goal of this section is to comprehend the derivation of a parabola's standard formula, the several standard forms of a parabola, and the properties of a parabola.

Given

Focus at f(0, -4)

Directrix x = 4

As we know, the equation of a parabola with focus (a, 0) and directrix x = a

y² = 4ax.

y² = 4(4)x

y² = 16x

The equation of the parabola with focus at f(0 -4) and directrix x = 4 is

y² = 16x.

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Answer:

x + y = 34

10*x + 15*y = 410

Step-by-step explanation:

The equation system that models the situation would be made up of two equations:

The first equation would be the total number of hours for both jobs, that is, the number of babysat work hours and the number of yardwork work hours equals 34 total hours.

x + y = 34

The second equation would be the total amount of money earned, in this case it would be to multiply the earnings of each job by the number of hours of each job and add it up and you should give a total of 410 which are your total earnings.

10 * x + 15 * y = 410

Therefore the system of equations would be:

x + y = 34

10 * x + 15 * y = 410

According to the information given in the exercise, you know that the 100% is 80.

Let be "x" the number that is the 53% of 80.

By definition, you can write 53% as a Decimal number by dividing it by 100. Then, this is:

You can write 100% as a Decimal number:

Knowing the above, you can set up the following proportion:

Now you must solve for "x":

The answer is:

The graph at the bottom left shows the new function.

Observe that the initial provided graph corresponds to the equation:

\(y = 2x + 1\)

As the line exhibits a slope of 2/1, equivalent to 2, and the y-intercept is situated at the point (0, 1).

Now, if we were to alter the equation by multiplying the existing slope by 1/2, and simultaneously increasing the y-intercept by 3 units, the resulting function would be:

\(y = x + 4\)

This represents a line with a slope of 1 and a y-intercept located at (0, 4).

Take note that the graph depicted in the lower-left section among the available options accurately illustrates such a function.

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Answer:

107 degrees

Step-by-step explanation:

since the two angles are on a straight line, and a straight line is 180 degrees,
180-73=x

x=107

Answer:

Less greater

Step-by-step explanation:

Firstly, let's solve:

\(\frac{5}{6}\times2\frac{1}{5}\)

Convert to improper fraction

\(=\frac{5}{6}\cdot \frac{11}{5}\)

Cancel common factor: 5

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

Mixed fraction

\(=1\frac{5}{6}\)

2 1/5 > 1 5/6

Therefore, 1 5/6 is less greater than 2 1/5

~Lenvy~

Answer:

d

Step-by-step explanation:

helps to find outer point

Answer should be D. it helps to find an outer most point to make it easier to track

These forecasts illustrate bias.

Therefore, these forecasts illustrate bias.

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tan(75°) = tan (30 + 45)

Now,

\( \tan( A + B) = \frac{\tan A + \tan B}{1 - \tan A × \tan B} \\ \)

\( \tan( 30 + 45) = \frac{\tan 30 + \tan 45}{1 - \tan 30 × \tan 45}\\ \)

Here, we know that

tan 30 = √3 ÷ 3 (Rational)

tan 45 = 1

\( tan(75) = \frac{ \frac{ \sqrt{3} }{3} + 1 }{1 - \frac{ \sqrt[]{3} }{3} } \\ \)

\( = \frac{ \sqrt{3} + 3}{3 - \sqrt{3} } \times \frac{3 + \sqrt{3} }{3 + \sqrt{3} } \\ \)

\( = \frac{3 \sqrt{3} + 3 + 9 + 3 \sqrt{3} }{6} \\ \)

\( = \frac{12 + 6 \sqrt{3} }{6} \\ \)

Cancel 6 we get,

2 + √3 or 2 + 1.732 = 3.732

Thus, The exact value of tan 75 is 2 + √3

-TheUnknownScientist 72

Answer:

sorry don't know the answer

Step-by-step explanation:

if you give me 2500 rs I will help you

The PQRS and TSUV are congruent parallelograms, they have the same shape and size. angle PQR is congruent to angle TSU, since they are opposite angles in parallelograms PQRS and TSUV, respectively. so angle TSU in parallelogram TSUV is congruent to angle PQR.

The following are a parallelogram's characteristics:

The two opposing sides are level and parallel.

The opposing angles line up evenly.

The following or adjacent angles are extra.

Every angle will be at a right angle if even one of the other angles is.

PQRS and TSUV are congruent parallelograms, which denotes that their dimensions are the same. The parallelograms' corresponding angles are therefore equal.

Angle PQR is an interior angle in the parallelogram PQRS that is opposite to the adjacent angle PQS, whereas angle UTS is an internal angle in the parallelogram TSUV that is opposite to the adjacent angle TSV.

We can infer that angle PQR and angle UTS are related angles and are hence congruent because PQRS and TSUV are congruent.

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Answer:

A

Step-by-step explanation: