why can't x2+4x+1 be factored​

The given two-way Frequency table, there are 33 left-handed students who are not in the music program.

The number of left-handed students who are not in the music program, we need to examine the data presented in the two-way frequency table.

From the table, we can see that the number of left-handed students in the music program is 15, and the total number of left-handed students is 48.

the number of left-handed students not in the music program, we subtract the number of left-handed students in the music program from the total number of left-handed students.

Number of left-handed students not in the music program = Total number of left-handed students - Number of left-handed students in the music program

Number of left-handed students not in the music program = 48 - 15

Calculating this, we find that the number of left-handed students not in the music program is 33.

Therefore, there are 33 left-handed students who are not in the music program, based on the data provided in the two-way frequency table.

In conclusion, based on the given two-way frequency table, there are 33 left-handed students who are not in the music program.

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Answer:

W= 6.745

Step By Step:

look at the first half of the triangle to find W. you were given two known angles in the triangle (56 degrees, 90 degrees) and one known side (10).

lets label all of the sides and angles first. remember, we are only looking at the first triangle as its own independent triangle. the side we are trying to find is 'w', and the side that is labeled 10 can be 'a', and the hypotenuse is 'b'. the angle at the top is W then, the 90 degree angle would be B, and the angle measuring 56 is A.

first find the measure of W. since we already have the measure of the other two angles as 56 and 90 and we know the total measure of all angles in a triangle is 180, we can easily find 180-(56+90)=34.

so you can use the Law of Sines which says if triangle ABC has sides a,b,c then \(\frac{a}{sineA} =\frac{b}{sineB} =\frac{c}{sineC}\) .

we are trying to find 'w' and we can use angle A and side a to do this.

we said side 'a' measured 10 degrees, and angle A was 56. angle W measured 34, like we said earlier, so set up the equation according to law of sines:

\(\frac{a}{sineA} =\frac{10}{sin56} \\\\\frac{w}{sineW} =\frac{w}{sine34}\)

and we know these two equations equal each other:

\(\frac{10}{sine56} =\frac{W}{sine34}\)

use calculator to find sine of a 56 degree angle and 34 degree angle:

\(\frac{10}{0.829} =\frac{W}{0.559} \\\\12.06=\frac{W}{0.559}\\\\W=6.74\)

The distance is 35 units and the average speed is 5 units per min.

To find the distance that the bug ran, we need to take the difference between the final position and the initial position, it gives:

distance = -12 - (-47) = 12 + 47 = 35 units

And the average speed is the quotient between the distance and the time, so:

Average speed = distance/time.

And here we know that.

distance = 35 units.

time=  7 minutes.

Then we can replace these in the formula above to get:

s = (35 units)/7min = 5 units per min.

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Answer:

  0, 2 . . . . . (any pair of consecutive even integers)

Step-by-step explanation:

You want a pair of consecutive even integers such that twice the lesser is 4 less than two times the greater.

Let x represent the lesser of the two even integers. Then the greater is (x+2) and the given relation is ...

  2x = 2(x+2) -4

Simplifying gives ...

  2x = 2x +4 -4

  2x = 2x . . . . . . . true for any even integer x

Any pair of consecutive even integers will satisfy the relation.

  one such pair is 0, 2

     check: 2(2) -4 = 2(0)

Dogs are known to be highly Empathetic and can often recognize when their owners are in distress.

The study mentioned in the question further supports this idea. The study found that dogs were more likely to open the door to be with their distressed owners than in the control condition.

The null hypothesis for this test would be that there is no difference between the proportion of dogs opening the door in the distress condition and the control condition. The alternative hypothesis would be that the proportion of dogs opening the door is higher in the distress condition than in the control condition.

However, the evidence from the sample was not strong enough to support the alternative hypothesis, which means that there is not enough evidence to conclude that dogs are more compassionate when their owners are distressed.

On the other hand, when looking only at the dogs that did open the door, the study found that dogs in the distress condition reacted faster than dogs in the control condition.

The null hypothesis for this test would be that there is no difference in the mean time to open the door between the distress condition and the control condition. The alternative hypothesis would be that the mean time to open the door is smaller in the distress condition than in the control condition.

The evidence from the sample was strong enough to support the alternative hypothesis, which means that dogs do react faster when their owners are distressed. Overall, this study suggests that dogs are highly compassionate and can recognize and respond to their owners' distress.

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Answer:

please see photo attached for detailed analysis.

Answer:

I think it is 90%

Step-by-step explanation:

this is the case because 54/60 will be 9/10 if reduced

Answer:

10

Step-by-step explanation:

tbh i am confused

please if you see this, i am really trying my best and you guys gave me the hardest question i ever had. sincerely apologize

Answer:

20 + (-45) = -25

y = (-1/2)x + 4 is the equation for the linear function with an x-intercept of 8 and a y-intercept of 4.

We are aware that lines might have several kinds of equations; the typical form is

The equation of a line in slope-intercept form is Ax + By + c = 0, and

y = mx + b.

m is the slope, and b is the y-intercept.

The y-intercept, or (0,b), is the point where the line crosses the y-axis at x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.

Given, An x-intercept for a linear function is 8, and a y-intercept is 4.

The two points on the line are therefore (8, 0) and (0, 4).

Slope(m) is now equal to (4 - 0)/(0 - 8).

m slope = 4/8.

slope(m) equals -1/2.

With a y-intercept of 4, it represents the value of b in the equation y = mx + b.

Consequently, the equation is y = (-1/2)x + 4 is linear.

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The mode best represents the set of data: red, blue, red, yellow, red, green, black, red, white, red. The mode is a statistical measure that represents the most frequently occurring value or values in a dataset.

The mode is the measure of center that represents the most frequently occurring value in a dataset. In this case, the color "red" appears most frequently, occurring 6 times out of the 11 data points. Therefore, the mode of the dataset is "red."

The mean, on the other hand, calculates the average value by summing all the data points and dividing by the total number of data points. The mean can be influenced by extreme values or outliers, which may not accurately represent the overall data.

The median is the middle value when the data is arranged in ascending or descending order. In this case, since there are 11 data points, the median would be the sixth value. However, there is no clear middle value as there are multiple occurrences of "red" in the dataset.

Hence, the mode, representing the most frequently occurring value, is the measure of center that best represents this set of data.

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Answer:

172

Step-by-step explanation:

I promise you that this is right!

We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.

The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.

`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`

As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `

lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`

Since the limit of the ratio test is less than one, the given series converges.

The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).

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Using a system of equations, it is found that the simplified equation is y = 6x - 5.

Last year, Ada was x - 1 years old and Bill was y - 1 years old.

Bill was 6 times as old as Ada, hence:

\(y - 1 = 6(x - 1)\)

\(y - 1 = 6x - 6\)

\(y = 6x - 6 + 1\)

\(y = 6x - 5\)

The simplified equation is y = 6x - 5.

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\(\large\underline{\sf{Solution-}}\)

\(\textsf{Given expression;}\\\)

\( \sf{( {6x}^{3} + {4x}^{2} + 2x) \div 2x} \\ \)

\( \sf \longmapsto \frac{ {6x}^{3} + 4 {x}^{2} + 2x}{2x} \\ \)

\( \sf \longmapsto \frac{ {6x}^{3} }{2x} + \frac{4 {x}^{2} }{2x} + \frac{2x}{2x} \\ \)

\( \sf \longmapsto \frac{ {6 \times x \times x \times x} }{2 \times x} + \frac{4 \times x \times x}{2 \times x} + \frac{2 \times x}{2 \times x} \\ \)

\( \sf \longmapsto (3 \times x \times x) + (2 \times x) + 1 \\ \)

\( \sf \longmapsto {3x}^{2} + 2x + 1 \: \: \: \red{ Ans.} \\ \)

\( \bf{Read \: more:} \\ \)

-32x^4 ÷ 8x^2 Solve urgent plz..

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The correct answer is (b) all real numbers except odd multiples of π/2. The domain of validity for cscθ (cosecant) is restricted because cosecant is undefined when the sine of an angle is zero.

In the trigonometric identity cscθ = 1/sinθ, the denominator sinθ becomes zero at odd multiples of π/2 (such as π/2, 3π/2, 5π/2, etc.), resulting in a division by zero error. Therefore, the cosecant function is not defined for these values of θ.

For all other real numbers θ, the sine function is non-zero and well-defined, allowing us to calculate the reciprocal of the sine and determine the value of the cosecant. Hence, the domain of validity for cscθ is all real numbers except odd multiples of π/2, as stated in option (b).

It's important to note that in trigonometry, the domain of validity is determined by avoiding any values that would lead to undefined expressions or division by zero errors.

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The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π, because at these points the sine function equals zero, and division by zero is undefined.

In mathematics, the cosecant function (csc), is defined as the reciprocal of the sine function, or 1/sinθ. The domain of a function are all the possible input values that will yield real numbers (output). For the csc function, its domain includes all real numbers except where the denominator is zero because division by zero is undefined.

In the unit circle context, sine equals zero at 0, π, 2π, ..., and the negative counterparts. Basically, these are the multiples of π. Thus, for the csc function, the domain is all real numbers except multiples of π, which matches option d in your choices.

The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π.

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Answer: 2(x2 + 2x -1)

Step-by-step explanation: 2x2+ 4x - 2 = 2(x2 + 2x - 1)

The intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.

The equation of a sphere with center (h, k, l) and radius r is given by (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2. In this case, the center is (-3, 2, 6) and the radius is 5, so the equation of the sphere is (x + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25.

To find the intersection of the sphere with the yz-plane (x = 0), we substitute x = 0 into the equation of the sphere. This gives (0 + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25, which simplifies to 6^2 + (y - 2)^2 + (z - 6)^2 = 25. This equation represents a circle in the yz-plane centered at (2, 6) with a radius of 5.

Therefore, the intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.

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Answer:

The exponential function represents growth, the percentage rate of increase is 7.8 %

Step-by-step explanation:

Please see the attachment.

The exponential function represents growth, the percentage rate of increase is 7.8 %

For a survey of 320 homeless persons showed that 78 were veterans. A 99% confidence interval for the population proportion of homeless persons who are veterans is: (0.182, 0.306). The correct answer is Option (c) "I am 99% confident that the proportion of all homeless persons who are veterans is between 0.182 and 0.306."

It is given that a survey of 320 homeless persons showed that 78 were veterans and a 99% confidence interval for the population proportion of homeless persons who are veterans is (0.182, 0.306). Now, we have to determine the correct statement from the given options.

a. With 90% confidence, the mean number of homeless veterans is between 18.2 and 30.6.

This statement is incorrect. The interval (0.182, 0.306) is a confidence interval for the proportion of homeless persons who are veterans and not for the mean number of homeless veterans. Hence, option (a) is incorrect.

b. I am 99% confident that the proportion of the sampled homeless persons who are veterans is between 0.182 and 0.306.

This statement is also incorrect. The 99% confidence interval is for the population proportion of homeless persons who are veterans and not for the sample proportion. Hence, option (b) is incorrect.

c. I am 99% confident that the proportion of all homeless persons who are veterans is between 0.182 and 0.306.

This statement is correct. The given confidence interval is for the population proportion of homeless persons who are veterans and it is a 99% confidence interval. Therefore, option (c) is the correct statement.

d. 99% of veterans are homeless between 18.2% and 30.6% of the time.

This statement is incorrect. The confidence interval is for the population proportion of homeless persons who are veterans and not for the proportion of veterans who are homeless. Hence, option (d) is incorrect

.e. Between 18.2% and 30.6% of veterans are homeless.

This statement is incorrect. The confidence interval is for the population proportion of homeless persons who are veterans and not for the proportion of veterans who are homeless. Hence, option (e) is incorrect.

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Answer:

44°

Step-by-step explanation:

103+33+x=180

136+x=180

x=180-136

x=44°

hope this helps

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Rounding to the nearest tenth of a foot, the ramp length is 150.7 feet.

To find the length of the ramp, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the ramp) is equal to the sum of the squares of the other two sides (the rise and the run).

We have the rise (15 feet) and the run (150 feet), so we can use the formula: ramp length = √(rise^2 + run^2)

Plugging in the values, we have: ramp length = √(15^2 + 150^2) = √(225 + 22500) = √22725 = 150.7 feet

Therefore, rounding to the nearest tenth of a foot, the ramp length is 150.7 feet.

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Answer:

B

Step-by-step explanation:

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Step-by-step explanation:

Using the Confidence interval,

the pproximate 95% confidence interval for the mean score of all such subjects is (70.11, 82.32).

Confidence interval: A confidence interval is a range of estimated values for an unknown parameter. Confidence intervals are computed at the specified confidence level.

C.I = X-bar +- Z(s/√n)

we have given that,

Sample size (n) = 47

mean of sample scores (X-bar) = 76.2

standard deviations (s) = 21.4

confidence level = 95% = 0.95

Using the z table the value of Z-Score corresponding to 95% confidence level is 1.96..

putting all the values in above formula we get,,

Confidence interval for the mean score of all such subjects is

C.I = ( X-bar + z(s/√n) , X-bar - Z(s/√n))

=> C.I = ( 76.2 - 1.96(21.4/√47) , 76.2 + 1.96(21.4/√47))

=> C.I = ( 70.11, 82.32)

Hence, the confidence interval for the mean score of all such subjects is

(70.11, 82.32).

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The requried measure of angle BOC (m BOC) is 7/5π radians (rounded to two decimal places). Option A is correct.

To find the measure of angle BOC (m BOC) in radians, we can use the formula:

Arc Length = Radius * Angle in Radians

Given:

The radius of the circle (OB or OC) = 15 units

Length of arc BC = 21π units

Let m BOC be the measure of angle BOC in radians.

We can rearrange the formula to solve for the angle:

Angle in Radians = Arc Length / Radius

Angle in Radians = 21π / 15

m BOC = 7/5π radians

So, the measure of angle BOC (m BOC) is 7/5π radians (rounded to two decimal places). Option A is correct.

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The questions seem to be incomplete, the complete question for the same has been attached in the image below:

"Scatterplot is a quality controle tool",which shows us the increase or decrease of the function.Obviously it called the "Scatter Diagram".

It's totaly depand upon XY corelation.

In scatterplot the two variables are very important that are :

1. Indipendent

2. Dependent

To depict the values for two different numerical variables, dots are used in a scatter plot (also known as a scatter chart or scatter graph). Values for each data point are shown by the location of each dot on the horizontal and vertical axes. The relationships between variables are visualized using scatter plots.

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9514 1404 393

Answer:

  (x, y, z) = (2, 1, -5)

Step-by-step explanation:

There are numerous equation solvers available on the web. The attached result is from one of them.

__

You may find it easier to solve these by hand if you eliminate fractions.

The first step is to look to see what you have, then formulate a strategy for getting a solution. Because the equations containing y have opposite coefficients, one of which is -1, we choose to use those to eliminate y. Immediately, we will have two equations in x and z.

If  you multiply the first equation by 3 and add that to the second, then you will eliminate y. The third equation already has y eliminated, so you will then have two equations in x and z.

  3(2x -y +z) +(x +3y -z) = 3(-2) +(10)

  6x -3y +3z +x +3y -z = -6 +10

  7x +2z = 4 . . . . [eq4]

Subtracting the third equation from this eliminates z, so you have ...

  (7x +2z) -(x +2z) = (4) -(-8)

  6x = 12

  x = 2

Substituting into the third equation gives ...

  2 +2z = -8

  2z = -10

  z = -5

Then using the first equation, you have ...

  y = 2x +z +2 = 2(2) +(-5) +2 = 1

(x, y, z) = (2, 1, -5)