The graph of f(x) is shown.

On a coordinate plane, a parabola opens up. It goes through (negative 1.75, 4), has a vertex of (negative 0.25, negative 3), and goes through (1.4, 4). Solid circles appear on the parabola at (negative 1.6, 3.1), (negative 1.2, 0), (negative 0.25, negative 3), (0.8, 0), (1.2, 3.1).
Over which interval on the x-axis is there a negative rate of change in the function?

–2 to –1
–1.5 to 0.5
0 to 1
0.5 to 1.5

Answer:

The Slope is 1/2

Step-by-step explanation:

Rise/Run

Rise 1

Run 2

Answer:

0.5 or  1/2

Step-by-step explanation:

For the slope of the line you use the equation.

M=Raise/Run which is equal to the equation y2-y1 / x2-x1

First you need to determine your points. for example (0,1) and (10,6).

which would make the equation when filled out.

6-1 / 10-0

six - one = five

10-0 = ten.

five divided by ten equals 0.5. therefore the slope would be 0.5 or 1/2.

Answer:  \(\log_{4}\left(\frac{m^7}{125b^2}\right)\)

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

Work Shown:

\(7\log_{4}(m)-3\log_{4}(5)-2\log_{4}(b)\\\\\log_{4}(m^7)-\log_{4}(5^3)-\log_{4}(b^2) \ \ \text{... see note1 below}\\\\\log_{4}(m^7)-\log_{4}(125)-\log_{4}(b^2)\\\\\log_{4}(m^7)-\big(\log_{4}(125)+\log_{4}(b^2)\big) \\\\\log_{4}(m^7)-\log_{4}(125b^2)\ \ \text{... see note2}\\\\\log_{4}\left(\frac{m^7}{125b^2}\right) \ \ \text{... see note3}\\\\\)

-------------------

As for the explanation process to your teacher, you can mention each rule verbally or using symbolic notation as I have done above. In my opinion, the steps in the "work shown" section should be sufficient.

Verbally describing the rule in note2 for instance could go something like "the sum of two logs is the same as the log of the product of the arguments". There is probably a more elegant way to state this rule verbally, so feel free to explore various creative options.

Keep in mind that the logs must be the same base for the log rules to apply. Something like \(\log_{2}(A)+\log_{3}(B) = \log_{2}(A*B)\) is NOT valid.

A) The required population sets are

Population set 1 : Women whose mothers took the drug DES during pregnancy.

Population set 2 : Women whose mothers did not take the drug DES during pregnancy.

B) It is a survay not experiment.

C) The estimate of the number of women out of 1,000 who would be expected to have tissue abnormalities is 16 per 1000 people.

D) The estimate of the number of women out of 1,000 who would be expected to have not tissue abnormalities is 8 per 1000 people.

E) Yes, medical studies often use a relatively large sample to represent the population in the best possible way so that results can be more reliable and can be generalized.

The purpose of a research study is that to uncover something hidden or unknown. Because the study does not use the entire set of data, but it consider sample in an appropriate manner to represent the population as accurately as possible. We have a seven-year medical research study : Women whose mothers took the drug DES during pregnancy were twice as likely to develop tissue abnormalities that might lead to cancer as were women whose mothers did not take the drug.

A) Population is defined as the entire group that we want to draw conclusions. In this case, population seta are :

Population set 1 : Women whose mothers took the drug DES during pregnancy.

Population set 2 : Women whose mothers did not take the drug DES during pregnancy.

B) Since, there is no manipulation in the variables has been done, it is not an experiment but a survey.

C.)Consider a sample from population of women whose mothers took the drug DES during pregnancy. Sample size, n = 3980

The number of women who developed tissue abnormalities that might lead to cancer, x = 63

The sample proportion, p = x/n = 63/3980

≈0.0158

A descriptive statistic that used to estimate the number of women out of 1000. So, population who have tissue abnormalities out of 1000,

Required number = 0.0158 ×1000 ≈15.8 ≈ 16

i.e., 16 per 1000 people

D) Now, for the population of women whose mothers did not take the drug DES during pregnancy, the estimate of the number of women out of 1000

1000 who would be expected to have tissue abnormalities can be given as:

Required number ≈ 8 per 1000 people ( because those who took drug have twice the risk).

E) Yes, medical studies often use a relatively large sample to represent the population in the best possible way so that results can be more reliable and can be generalized, which is the main purpose of the medical study.

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To multiply a decimal number by 10^2, you need to move the decimal point two places to the right. This is because multiplying by 10^2 is equivalent to multiplying by 100, which means shifting the decimal point two places to the right.

For example, let's say you have the decimal number 3.14 and you want to multiply it by 10^2. To do this, you move the decimal point two places to the right:

3.14 * 10^2 = 314.00

As you can see, the decimal point has been shifted two places to the right, resulting in the product of 314.00.

Similarly, if you have a decimal number with fewer digits, such as 0.25, and you want to multiply it by 10^2, you would still move the decimal point two places to the right:

0.25 * 10^2 = 25.00

Again, the decimal point has been shifted two places to the right, resulting in the product of 25.00.

Therefore, to multiply a decimal number by 10^2, you move the decimal point two places to the right.

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Horizontal translation: 2 units right.

Vertical translation: 5 units up

Stretch/compression: stretched by a factor of 3.

Reflection: not reflected.

Answer:

1/4w + 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the cosine of the angle between the vectors (1,1,1) and (11,-3,8), we can use the dot product formula:

cos(theta) = (u dot v) / (||u|| ||v||)

where u = (1,1,1) and v = (11,-3,8)

u dot v = (1)(11) + (1)(-3) + (1)(8) = 16

||u|| = sqrt(1^2 + 1^2 + 1^2) = sqrt(3)

||v|| = sqrt(11^2 + (-3)^2 + 8^2) = sqrt(194)

cos(theta) = 16 / (sqrt(3) * sqrt(194))

Simplifying this expression, we get:

cos(theta) = (16 * sqrt(194)) / 582

To calculate the value of 9u(10u - 7v), where u v = -9, ||0|| = 4, and || v || 4, we can substitute the given values into the expression:

9u(10u - 7v) = 9(-9)(10u - 7v)

We can simplify u v = -9 to ||u|| ||v|| cos(theta) = -9, since we know the magnitudes of u and v:

||u|| ||v|| cos(theta) = -9

Substituting ||u|| = 4 and ||v|| = 4, we get:

4 * 4 * cos(theta) = -9

cos(theta) = -9 / 16

We can substitute this value into the expression for 9u(10u - 7v):

9(-9)(10u - 7v) = 81(10u - 7v)

Simplifying further, we get:

81(10u - 7v) = 810u - 567v

To find the projection Ulv = (x,y) of u = (4,-5) along v, we can use the projection formula:

proj_v(u) = ((u dot v) / ||v||^2) * v

where u = (4,-5) and v is given.

u dot v = (4)(1) + (-5)(-2) = 14

||v||^2 = (1)^2 + (-2)^2 = 5

Substituting these values into the projection formula, we get:

proj_v(u) = (14/5) * (1,-2)

Simplifying, we get:

proj_v(u) = (14/5, -28/5)

Therefore, the projection Ulv = (x,y) of u = (4,-5) along v is (14/5, -28/5).
To find the cosine of the angle between the vectors (1,1,1) and (11, -3,8), you can use the formula:

cos(θ) = (u•v) / (||u|| ||v||)

Given that u•v = -9, ||u|| = 4, and ||v|| = 4, the formula becomes:

cos(θ) = (-9) / (4 * 4) = -9/16

Now, to calculate the value of 9u(10u - 7v), you first need to find the vector (10u - 7v). Since we are not given the actual vectors u and v, it is impossible to calculate the exact result for this part of the question.

Finally, to find the projection of u = (4, -5) along v, you can use the formula:

proj_v(u) = (u•v / ||v||^2) * v

However, you did not provide the complete vector v. Please provide the complete vector v so I can give you the projection.

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Step-by-step explanation:

1 (b) ( boy, boy), (boy,girl), ( girl,boy ), ( girl, girl )

(c) 4

(d) 2/4 = 1/2

(e) 1/4

2 (a) (1,head), (1,tail), (2,head), (2,tail), (3,head), (3,tail), (4,head), (4,tail)

(b) (A,1) (A,2), (A,3), (B,1), (B,2), (B,3), (C,1), (C,2),

(C,3)

A mean is an arithmetic average of a set of observations. The mean number of visits the students made to the library in the last month is 2.32 visits.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

For the given frequency table, the sum of the mean and the total number of values can be written as,

Sum = (0×284) + (1×218) + (2×76) + (3×64) + (4×42) + (5×320) = 2330

Total number of values = 284 + 218 + 76 + 64 + 42 + 320 = 1004

The mean for the table can be written as,

Mean = sum/ Total number of values = 2330/1004 = 2.32

Hence, the mean number of visits the students made to the library in the last month is 2.32 visits.

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The quotient between the two fractions will give:

(4/6)÷(3/12) = 8/3

Here we want to find the quotient between the fractions 4/6 and 3/12.

The quotient between any two fractions a/b and c/d can be solved as:

(a/b)÷(c/d) = (a*d)/(b*c)

Then our quotient can be solved in the following way as:

(4/6)÷(3/12) = (4*12)/(3*6)

(4*12)/(3*6) = (48/18)

Now we can simplify that fraction, if we divide both numerator and denominator by 2, we will get:

24/9

Now we can divide both by 3, then we will get the simplified fraction:

8/3.

That is the correct answer.

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Answer: The answer is 2 2/3

Step-by-step explanation:  I got it right on edge

Answer:

go to https://www.rcboe.org/cms/lib010/GA01903614/Centricity/Domain/1030/Ch.%203.3.pdf

Step-by-step explanation:

i think that will help

If the resulting F-statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the variances are significantly different.

The F-test is a statistical test used to compare the variances of two groups.

In this problem, we will use it to compare the variance of the value added by the manufacturer and the variance of the cost of materials in manufacturing. The F-test is performed by dividing the larger variance by the smaller variance. The resulting F-statistic is then compared to the critical value of an F-distribution with degrees of freedom equal to the sample size minus one for each group.

Before we can perform the F-test, we need to determine which variable will be group 1. Typically, the variable with the smaller mean is designated as group 1. This is because we want to minimize the chance of making a type II error, which is failing to reject the null hypothesis when it is false. If we designated the variable with the larger mean as group 1, we might not detect a significant difference between the groups, even if one exists.

Once we have designated which variable will be group 1, we can perform the F-test. If the resulting F-statistic is greater than the critical value of the F-distribution, we reject the null hypothesis and conclude that the variances are significantly different.

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To calculate the probability of selecting more than 6 balls before getting the first red ball, we need to find the probability of selecting 7, 8, 9, or 10 white balls before getting the first red ball. The probability of selecting a white ball on the first draw is 20/30 or 2/3. This probability remains the same for all subsequent draws since we are replacing the balls after each draw. Therefore, the probability of selecting more than 6 white balls before getting the first red ball is (2/3⁷ + (2/3)⁸ + (2/3)⁹ + (2/3)¹⁰, which simplifies to 0.9122.

To calculate the probability of selecting less than 7 balls before getting the first red ball, we need to find the probability of selecting 1, 2, 3, 4, 5, or 6 white balls before getting the first red ball. The probability of selecting a red ball on the first draw is 10/30 or 1/3. Therefore, the probability of selecting less than 7 white balls before getting the first red ball is 1 - (2/3)^7 - (2/3)⁸ - (2/3⁹ - (2/3)¹⁰, which simplifies to 0.8683.

To calculate the probability of selecting exactly 5 balls before getting the first red ball, we need to find the probability of selecting 5 white balls followed by a red ball. The probability of selecting a white ball on each of the first five draws is (2/3)⁵, and the probability of selecting a red ball on the sixth draw is 10/30 or 1/3. Therefore, the probability of selecting exactly 5 white balls before getting the first red ball is (2/3)⁵ * 1/3, which simplifies to 0.0658.

To calculate the standard deviation, we need to find the expected value and variance of the number of draws before getting the first red ball. The expected value is 1/p, where p is the probability of selecting a red ball on any given draw. Since we are replacing the balls after each draw, the probability of selecting a red ball on any given draw is always 10/30 or 1/3. Therefore, the expected value is 1/(1/3) or 3. The variance is (1-p)/(p²), which simplifies to 2/p - 1/p². Plugging in p = 1/3, we get a variance of 6 - 9 or -3. Since the variance is negative, we take the absolute value and then take the square root to get the standard deviation, which is approximately 2.45.

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Answer:

refer to the picture for step by step answer

hope it helps

Answer:

1. The third side has to be greater than 9 m.

2. The triangle is scalene.

Step-by-step explanation:

The correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

What is the system of equations?

A system of equations is a set of two or more equations with the same variables. The goal of a system of equations is to find the values of the variables that simultaneously satisfy all the equations in the system.

The given equations are

3x + y = 12

x + 4y = 4

To graph the system of equations, we can start by finding the x-intercepts and y-intercepts of each line.

The x-intercept is the point where the line crosses the x-axis, which means that the y-value is 0. To find the x-intercept, we can set y = 0 and solve for x:

3x + y = 12

3x + 0 = 12

3x = 12

x = 4

So, the x-intercept of the first line is (4, 0).

Next, we can find the y-intercept, which is the point where the line crosses the y-axis, meaning that the x-value is 0. To find the y-intercept, we can set x = 0 and solve for y:

3x + y = 12

0 + y = 12

y = 12

So, the y-intercept of the first line is (0, 12).

We can repeat this process for the second line to find its x-intercept and y-intercept:

x + 4y = 4

x + 4 * 0 = 4

x = 4

So, the x-intercept of the second line is (4, 0).

Next, we can find the y-intercept by setting x = 0:

x + 4y = 4

0 + 4y = 4

4y = 4

y = 1

So, the y-intercept of the second line is (0, 1).

Now that we have found the x-intercepts and y-intercepts of each line, we can plot these points on a coordinate plane and draw lines through them to obtain the graph of the system of equations.

The graph shows a line with an x-intercept at (4, 0) and a y-intercept at (0, 12). There is a second line with an x-intercept at (4, 0) and a y-intercept at (0, 1).

Therefore, the correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

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Answer:

The answer is y=7.5x and y=5.5x+10

Answer:

How did you manage to get it upside down? impressive

Step-by-step explanation:

The answer is C because the slower slope value had +10 as the y intercept also you can clearly see the orange one is going at a faster rate

Answer:

A. (x,y) - (2x,2y)

Step-by-step explanation:

The interval is from 0.9330 to 0.9350

For given condition;

mean = 0.9340

standard deviation = 0.0030

z-score at 98% = 2.33

n = size of sample = 47

Step 1: calculate the standard error of the mean

standard error of mean  =  z-score * standard deviation/sqrt(n)

                                        =  2.33 * 0.0030/\(\sqrt{47}\)

                                        = 0.0010

step 2: upper limit  =  mean + standard error

                                =  0.9340 + 0.0010

                                = 0.9350

           lower limit  =  mean - standard error

                              =  0.9340 - 0.0010

                              = 0.9330

Hence, the interval is from 0.9330 to 0.9350

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Answer:

\(Each =\pounds 1121\)

Step-by-step explanation:

See comment for complete question.

Given

\(Total = \pounds 8968\)

\(Projects = 8\)

Required

Determine the amount allotted to each

From the question, we understand that each project gets each allocation.

So, the amount of each is:

\(Each =\frac{Total}{Projects}\)

\(Each =\frac{\pounds 8968}{8}\)

\(Each =\pounds 1121\)

Each project gets £1121

The value of a and b are 1 and 6 respectively.

The equation of the line is y = 1 / 3 x + 1.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, let's find the value of a and b using the line.

Hence, using (3, 2) and (12, 5)

slope = 5 - 2 / 12 - 3

slope = 3 / 9

slope = 1  /3

Therefore, let's find the y-intercept using (3, 2)

y = 1 / 3 x + b

2 = 1  /3 (3) + b

2 - 1 = b

b = 1

Therefore, the equation is y = 1 / 3 x + 1.

Let's find a and b

a is the y-intercept. Therefore, a = 1

using (b, 3)

y = 1 / 3 x + 1

3 = 1 / 3 (b) + 1

3 - 1 = b / 3

b = 2 × 3

b = 6

Therefore,

a = 1 and b = 6

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The centroidal is the Y-Y centroidal axis will need to use the transfer formula (1 = 1. + ada) to calculate the moment of inertia relative to the centroid for the given shape below. The moment of inertia of the rectangular section and two pipe sections are to be calculated separately and then added together to find the total moment of inertia.

The centroid of the rectangular section is given and that of pipe sections can be calculated using parallel axis theorem. The formula for moment of inertia of a rectangle about centroidal X-axis is

1/12 * b*h³.

Hence,

I = 1/12 * 0.5 * 4³

\(= 2.67 in^4.\)

The centroid of pipe sections is at a distance of 2 inches from the centroid of the rectangular section. The moment of inertia of a pipe section about a centroidal axis is

π/64 (OD⁴ – ID⁴).

Hence, the moment of inertia of both pipe sections about the centroidal X-axis is

\(2 * π/64 * (2 * 2^4 - 2 * 1.68^4) = 17.9 in^4.\)

The total moment of inertia about centroidal X-axis is 20.6 in^4.Question 10: The moment of inertia of the rectangular section and two pipe sections are to be calculated separately and then added together to find the total moment of inertia. The centroid of the rectangular section is given and that of pipe sections can be calculated using parallel axis theorem. The formula for moment of inertia of a rectangle about centroidal Y-axis is 1/12 * h*b³.

Hence, I

\(= 1/12 * 5 * 0.5³ = 0.0521 in^4.\)

The centroid of pipe sections is at a distance of 2.5 inches from the centroid of the rectangular section.

The moment of inertia of a pipe section about a centroidal axis is π/64 (OD⁴ – ID⁴). Hence, the moment of inertia of both pipe sections about the centroidal Y-axis is 2 *\(π/64 * (2.5^4 - 1.68^4) = 262 in^4.\)

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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The sum of the measures of the interior angles of a 10-sided figure is 1,800°. This can be calculated using the formula S = (n-2)180°, where S is the sum of the interior angles and n is the number of sides.

In the case of a 10-sided figure, the calculation would be S = (10-2)180° = 1800°.The sum of the interior angles of a figure can be understood as the total amount of rotation necessary to trace out the entire figure. This is because each angle is the amount of rotation necessary to move to the next side. When you have traced out the entire figure, you have made a full rotation of 360°. This means that the total amount of rotation necessary to trace out the entire figure is the sum of the interior angles. In other words, the sum of the interior angles of a figure is the amount of rotation necessary to move from the first side to the last side of the figure. For a 10-sided figure, this amount of rotation is 1,800°, which is the sum of the interior angles of the figure.

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Answer:

\( \\ \frac{y2 - y1}{x2 - x1} = \frac{ - 3 - ( - 3)}{ - 12 - ( - 8)} = \frac{ - 3 + 3}{ - 12 + 8} = 0 \div ( - 4) = 0\)

the confidence interval for the Six-Sigma certification exam with 90% confidence is between 57 and 81. This means that there is a 90% chance that the true population mean score falls within this range.

the center producing standardized exams for certifications only had access to a small sample of scores for the Six-Sigma certification exam. In order to better understand the exam, they used the confidence interval formula with a confidence level of 90%. The resulting values indicate the range in which the true population mean score is likely to fall.

based on the confidence interval obtained, we can be 90% confident that the population mean score for the Six-Sigma certification exam is between 57 and 81. It is important to note that this only applies to the sample taken and that the true population mean score could be different, but it is likely to be within this range with 90% confidence.

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If the function y=ex is vertically stretched by a factor of 2, reflected across the x-axis, and then shifted down 3 units, the resulting function will be y = -2eˣ - 3

We have to vertically stretch the function y = eˣ by a factor of 2.

Then the function will become y = 2eˣ

Then it is reflected across the x-axis.

So, the new function will be . y = - 2eˣ

Now, if the function is shifted down 3 units then the final function will become y = -2eˣ - 3

Therefore, if the function y=ex is vertically stretched by a factor of 2, reflected across the x-axis, and then shifted down 3 units, the resulting function will be y = -2eˣ - 3

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Answer:

neither one of those are a dot plot

Step-by-step explanation:

Answer:

height of kids in class is the dot plot

Step-by-step explanation:

Answer:

18/7

Step-by-step explanation:

check this might work as I simply