A box is sitting on the floor. The box was then pulled with a force, Ft. The box did not move. The free-body diagram of the box is shown.


Which describes the motion of the box based on the resulting free-body diagram?

A. It is moving up with a net force of 20 N.

B. It is moving to the right with a net force of 10 N.

C. It is in dynamic equilibrium with a net force of 0 N.

D. It is in static equilibrium with a net force of 0 N.

The real zeros of\(f(x)\) are:

\(x = -1/2, 2/3, 8/3\) Therefore, \(x = -1/2, 2/3, 8/3\) is the solution for the problem.

(a) The given factors of\(f(x)\)

are\((2x + 1)and (3x - 2)\).

In order to verify the given factors of\(f(x)\)

we use synthetic division. \(2x + 1: -1/2 |6 17 -5 -6 6 6 -14 12\)  

6 14 3 9 15 -3 -6 -3 The factor \((2x + 1)\) is verified.

(3x - 2): 2/3 |6 17 -5 -6 6 6 -14 12

6 23 0 -6 0 -6 -2 2

The factor \((3x - 2)\) is verified.

(b) We have to find the remaining factors of \(f(x)\) using the factors \((2x + 1)\)and `(3x - 2)`.

So, by factor theorem, the remaining factor of `f(x)` can be written as `ax + b`.

Therefore, \(f(x) = (2x + 1)(3x - 2)(ax + b)\)

By multiplying \((2x + 1)` and `(3x - 2)\) we get

\((2x + 1)(3x - 2) = 6x^2 - x - 2\)

We can now write,

\(f(x) = (2x + 1)(3x - 2)(ax + b)\)

\(f(x) = (6x^2 - x - 2)(ax + b)\)

We can now equate the given coefficients to find the values of `a` and `b`.

\(f(x) = (6x^2 - x - 2)(ax + b)\)

\(f(x) = 6ax^3 + (6b - a)x^2 + (-2b - 2a)x - 2b\)

Comparing the coefficients on both sides,

we have: Coefficient of

\(x^3: 6a = -6 = > a = -1\)

Coefficient of\(x^2: 6b - a = 17 = > 6b - (-1) = 17 = > 6b + 1 = 17 = > 6b = 16 = > b = 8/3\)

Therefore, the remaining factor of

\(f(x)\) is\(-x + 8/3\)

Thus,\(f(x) = (2x + 1)(3x - 2)(-x + 8/3)\)

(c) The complete factorization of \(f(x)\) is:

\(f(x) = (2x + 1)(3x - 2)(-x + 8/3)\)

(d) To find the real zeros of \(f(x)\)

we equate\(f(x)\) to zero and solve for\(x\)

\(f(x) = (2x + 1)(3x - 2)(-x + 8/3) = 0\)

So, the real zeros of \(f(x)\) are:\(x = -1/2, 2/3, 8/3\).

Therefore,

\(x = -1/2, 2/3, 8/3\) is the solution for the problem.

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(Excuse me if this doesn't make sense).

Your formula would be (4,1)

Your zero is (0,0)

To graph it:

If your y is 1, your x is 4

If your y is 2, your x is 8.

There's a video for this if my explanation and photo doesn't help

Answer:

x = 110°, y =  110°

Step-by-step explanation:

y = 110° ( vertical to 110° )

x = 110° ( alternate angle to y )

The probability distribution for the market and stock A indicates that the standard deviation for the market is about 7.48%

A probability distribution is a function that describes the possibility or likelihood of various outcomes in an event that is random, such that the probabilities of all possible outcomes are specified by the probability distribution in a sample space.

The probability distribution data for the market and stock A can be presented as follows;

Probability \({}\)             rM                  ra

0.6 \({}\)                         10%                12%

0.4 \({}\)                         14%                 5%

Where;

rM = The return for the market

ra = Return for stock A

The expected return for the market can be calculated as follows;

Return for the market = 0.6 × 10% + 0.4 × 14% = 6% + 5.6% = 11.6%

The variance can be calculated as the weighted average of the squared difference, which can be found as follows;

0.6 × (10% - 11.6%)² + (0.4) × (14% - 11.6%)² = 0.0055968 = 0.55968%

The standard deviation = √(Variance), therefore;

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Answer:

m= 18g

Step-by-step explanation:

m = 18 × g

Answer:

10.5 Inches Squared

Step-by-step explanation:

First, you find the area of the triangle. (2 * 1.5) / 2. This gives you 1.5

You multiple 1.5 x 7, which is the length of the carton to give the volume of 10.5 inches squared

4x + 10 = 22

4x = 22 - 10

4x = 12 / : 4

x = 3

X= 3

because you bring 10 to the left side and 10 becomes negative. and then you subtract ten from 22 and get 12 then divide 12 by 4 and you get 3.

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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The two statements that are true about the company's Market share going from 50 to 65 percent of the total market . The initial market share and multiply by 100, which gives 30 percent. Option B is correct answer.

The two statements that are true about the company's market share going from 50 to 65 percent of the total market are:

The company's market share increased by 30 percent: The difference between the initial market share of 50 percent and the final market share of 65 percent is 15 percentage points. To calculate the percentage increase, we can divide the difference by the initial market share and multiply by 100, which gives (15/50) x 100 = 30 percent.

The company's relative market position improved: With a market share of 65 percent, the company now holds a greater proportion of the total market than before. This means that its relative market position has improved compared to its competitors, who have a smaller share of the market. This could translate into increased bargaining power, profitability, and other benefits for the company.

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a company’s market share went from 50 to 65 percent of the total market. of the following choices, which two statements about the company's market shares are true?
A) 40

B) 30

C) 35

D) 45

Answer:

So how many he has left to do???

I think Salim has to finish 5 more problems

Step-by-step explanation:

Answer:

Option (D): f(x) = 2x^2 – 3

Step-by-step explanation:

Math.

The function that represents the data in the table is y=2x²-3

A relation is a function if it has only One y-value for each x-value.

Let us check the function of the given data by plugging any ordered pair in the given functions

Let us take a point (1, -1) to check each function

(a) y=x/2-3

-1= 1/2-3

-1=-5/2

So y=x/2-3 is not the function

(b) y=2ˣ-3

-1=2-3

-1=-1

Now let us check for other point

5=4-3

5=1

This function is not satisfied for all points

(c) y=2x-3

-1=-1

For point (2, 5)

5=-1

This function is not satisfied for all points

(d) y=2x²-3

-1=2-3

-1=-1

Now 5=8-3

5=5

Hence, the function that represents the data in the table is y=2x²-3

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Answer:

A. \(\frac{1}{x}\)

Step-by-step explanation:

x = 100

A. \(\frac{1}{100} = 0.01\)

B. \(\frac{10}{100}\) = 0.10

C. 1 - 100 = -99

D. 10 - 100 = -90

\(\sin \left(-\frac{7\pi}{2} \right)=-\sin \left(\frac{7\pi}{2} \right)\) (sine is an odd function)

\(-\sin \left(\frac{7\pi}{2} \right)=-\sin \frac{3\pi}{2}\) (sine has a period of \(2\pi\))

\(-\sin \frac{3\pi}{2}=-(-1)=1\) (unit circle)

\(\cos \left(-\frac{7\pi}{2} \right)=\cos \frac{7\pi}{2}\) (cosine is an even function)

\(\cos \frac{7\pi}{2}=\cos \frac{3\pi}{2}\) (cosine has a period of \(2\pi\))

\(\cos \frac{3\pi}{2}=0\) (use the unit circle)

Answer:

Step-by-step explanation:

8.3÷0.25

Multiply that by 30 and you get 996

The actual distance between the two cities will be 996 miles.

Distance is defined as the product of speed and time.

Scale is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

The given scale is 0.25 inches on the map representing 30 miles.

If the distance between two cities is 8.3 inches

As per the given scale, the actual distance between the two cities will be as:

⇒ 8.3 × 30/0.25

⇒ 83/10 × 3000/25

⇒ 249,000/250

Apply the division operation, and we get

⇒ 996 miles

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The question seems to be incomplete the correct question would be:

On a map with a scale of 0.25 inch = 30 miles the distance between two cities is 8.3 inches. find the actual distance between two cities?

Answer:

Answer: 31

Step-by-step explanation:

\({ \rm{45 - ( {}^{ + } 14)}} \\ \\ = { \rm{45 - 14}} \\ \\ = { \rm{31}}\)

Answer:

31

Step-by-step explanation:

(45)-(+14)

This is asking us to take 45 [(45)] and subtract 14 [-(+14)]

That is 45 - 14 = 31

The expression "-(+14)" is a deliberate attempt to confuse.  It says "subtract a positive 14."  There was no need to add the "+" sign in the parentheses, since a positive value is always assumed.  But it was added here to promote heartburn and the sale of TUMS.  When I see something like "-(+10000)," I immediately change it to "-10000" and move on, adding one demerit to the author of the problem.

1) 150°

2) 30°

3) 150°

4) 150°

if the lines are parallel, and a straight line bisects both of them, then the angle created on one line would be the same as the angle created on the other line.

for 1) we know that a straight line has 180° angle, so we just substract 180 by 30° to get 150°

for 3) we know that it is the same side as the upper line, so it must have the same angle as 1) hence 150°

for 4) we know that 4) is simply an opposite angle of 3), hence it is also 150°

for 2) Again, with the same logic as 1), a straight line has 180° angle, so we simply substract 180 with 150 to get 30. we can also answer two directly without looking at 3 and 4. check angles in parallel lines.

good luck

The results generated in the map phase are combined in the _reduce_ phase.

In maps, the "reduced phase" refers to a technique used to remove the phase ambiguity present in interferometric synthetic aperture radar (InSAR) data. InSAR uses radar to measure the distance between a satellite or aircraft and the ground and can be used to create detailed maps of changes in the surface of the earth over time.

However, because InSAR data is collected using radar waves, which are sensitive to the phase of the signal, the data can be affected by phase ambiguities. The reduced phase technique is used to remove these ambiguities and create more accurate maps.

Therefore, The results generated in the map phase are combined in the _reduce_ phase.

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Journal articles and research reports are widely recognized as the most common types of secondary sources used in education. In the field of education, secondary sources play a crucial role in providing researchers and educators with valuable information and scholarly insights.

Among the various types of secondary sources, journal articles and research reports hold a prominent position. These sources are often peer-reviewed and published in reputable academic journals or research institutions. They provide detailed accounts of research studies, experiments, analyses, and findings conducted by experts in the field. Journal articles and research reports serve as reliable references for educators and researchers, offering up-to-date information and contributing to the advancement of knowledge in the education domain. Their prevalence and credibility make them highly valued and frequently consulted secondary sources in educational settings.

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The measure of arc AB is 236 degrees as the internal angle of arc AB is equal to the sum of the internal angles of arcs AC and EF.

To find the measure of arc AB, we need to use the given information and some basic geometry principles:

Therefore, the measure of arc AB is 236 degrees.

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The question is -

Find the measure of the arc AB.

Answer:

The correct option is;

C. The pattern is random, indicating a good fit for a linear model

Step-by-step explanation:

A graph that has the residuals (the difference between the value observed and the value expected (regression analysis) on the vertical axis and the variable that is not affected by the other variables (independent variable) on the x or horizontal axis is known as a residual plot

A linear regression model is suited in a situation where the points are dispersed randomly on both sides of the horizontal axis

Therefore, given that the first point is below the horizontal axis and the next point is above the horizontal axis, while the third and the fourth points are below the horizontal axis, the fifth, sixth, and seventh points are above the horizontal axis and the eighth point is below the horizontal axis, the points are random around the horizontal axis, indicating the suitability of a linear regression model.

Answer:

C. The pattern is random, indicating a good fit for a linear model.

Step-by-step explanation:

Took the test. It's 100% correct.

The initial position of the point W (-13, 9)

The transformed position of the point W' (-9, -13)

when transformed 90 degrees counterclockwise, the coordinates of the original position is swapped and the y-coordinate is negated

That is if the W coordinate is (x,y), the transformation W coordinate in 90 degrees counter-clockwise will be (-y, -x )

Since W is (-13, 9)

Then W' will be ( -9 , -13)...In 90 degrees counterclockwise

Answer: 7 3/4 pounds

Step-by-step explanation:

Here's the correct question:

Last year, Bob's Market ordered 15 1/2 pounds of plums from a local orchard. This year, the market plans to order 1 1/4 times as many pounds of plums as were ordered last year. They want 2/5 of this order to be red plums. What is the total amount, in pounds, of red plums the market plans to order this year?

The amount of pounds of plum that is ordered this year will be:

= 15 1/2 × 1 1/4

= 31/2 × 5/4

= 19 3/8

Since they want 2/5 to be red plums, the total amount of red plums will then be:

= 2/5 × 19 3/8

= 2/5 × 155/8

= 310/40

= 7 3/4 pounds

Anything above 2.

It isn't 2 because 3x2=6+1=7, and we need a number greater than 7.

---

hope it helps

Answer:

m = 3+

Step-by-step explanation:

3m + 1 > 7 becomes

3(3) + 1 > 7 which becomes

9 + 1 > 7 which becomes

10 > 7.

The inequality is true.

Hope this helps. Have a nice day.

Answer:

There's no question for this, it's just a country importing an absurd amount of fruit.

Step-by-step explanation:

Answer:

4.66666666667 to be exact

Step-by-step explanation:

divide 3 into 14

-NULL

Brainliest will be appreciated thank you!

Answer:

\(rate\ of\ increase = 28.8\ billion\ dollars\ per\ year\)

model: \(y = 28.8(t-2003) + 2\)

profit in year 2017: \(y = 405.2\ billion\ dollars\)

Step-by-step explanation:

The sales increased from 2 billion dollars to 146 billion dollars in five years, so to find the increase in billion dollars per year, we just need to divide the increase by the amount of time:

\(rate\ of\ increase = (146 - 2)/5 = 144 / 5 = 28.8\ billion\ dollars\ per\ year\)

To construct a model for these sales, we can use the year 2003 as the initial point of a linear equation:

\(y = ax + b\)

the variable y will represent the profit in billion dollars, the variable x will represent our time, so we can use (t - 2003) in its place to represent the number of years since 2003 (t is the year we want to calculate), the constant 'a' will be our rate of 28.8, and the constant 'b' is the inicial value for the year 2003, that is, 2 (billions). So we have:

\(y = 28.8(t-2003) + 2\)

In the year 2017, we would have:

\(y = 28.8(2017-2003) + 2\)

\(y = 28.8*14 + 2\)

\(y = 405.2\ billion\ dollars\)

The more that the ROC curve hugs the top left corner of the plot, the better the model does at classifying the data into categories

A true positive result is one in which the model accurately predicts the positive class. A true negative, on the other hand, is a result in which the model correctly predicts the negative class.

A false positive is an outcome in which the model forecasts the positive class inaccurately. A false negative is an outcome in which the model forecasts the negative class inaccurately.

The ROC curve is obtained by plotting the true positive rate (TPR) against the false positive rate (FPR) at various threshold values.

The true-positive rate is also known as sensitivity, recall, and likelihood of detection.

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The population of rabbits by the year 2023  is 13985.

We have to use the following exponential function. This will be:

y = a b^t

In 2008 means, t=0

So we have 7100 = a b^0

a = 7100

y = 7100b^t

In 2013 means t = 2013-2008 =5

8900 = 7100 b⁵

b⁵ = 89/71

b = 1.046

So the equation will be

y = 7100 (1.046)^t

For 2023, t=2023-2008= 15

y = 7100(1.046)¹⁵

= 13985

The population is 13985.

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The quadratic equation with zeros at -6 and 2 is y² + 4y - 12 = 0. This is in standard form, which is ax² + bx + c = 0, with a = 1, b = 4, and c = -12.

To find the quadratic equation with zeros at -6 and 2, we can start by using the fact that if a quadratic equation has roots x₁ and x₂, then it can be written in the form

(y - x₁)(y - x₂) = 0

where y is the variable in the quadratic equation.

Substituting the given values of the zeros, we get

(y - (-6))(y - 2) = 0

Simplifying this expression, we get

(y + 6)(y - 2) = 0

Expanding this expression, we get

y² - 2y + 6y - 12 = 0

Simplifying this expression further, we get

y² + 4y - 12 = 0

So the quadratic equation with zeros at -6 and 2 is

y² + 4y - 12 = 0

This is the standard form of a quadratic equation, which is

ax² + bx + c = 0

where a, b, and c are constants. In this case, a = 1, b = 4, and c = -12.

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