A polynomial function has a root of -5 with multiplicity 3, a root of 1 with multiplicity 2, and a root of 3 with multiplicity 7. If the function has a negative leading coefficient and is of even degree, which statement about the graph is true?

A. The graph of the function is positive on (-infinity, -5)
B. The graph of the function is negative on (-5, 3)
C. The graph of the function is positive on (-infinity, 1)
D. The graph of the function is negative on (3, infinity).​

Answer:

True, I think.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

∠1 = 2x - 1   {Vertically opposite angles}

2x - 1 + 45 = 180     {Co interior angles}

2x + 44 = 180

       2x = 180 - 44

      2x = 136

        x = 136/2

x = 68

Cynthia's average value for a possession, based on the given information, is 0.8 points. This value represents the expected score she would achieve each time she gets possession of the ball

Based on the given information, Cynthia's scores for each possession range from 0 to 3 points. The frequency of each score is as follows:

- Score 0: 31 times

- Score 1: 0 times

- Score 2: 17 times

- Score 3: 2 times

To calculate Cynthia's average value for a possession, we can multiply each score by its corresponding frequency, sum them up, and divide by the total number of possessions:

Average value = (0 * 31 + 1 * 0 + 2 * 17 + 3 * 2) / (31 + 0 + 17 + 2) = (0 + 0 + 34 + 6) / 50 = 40 / 50 = 0.8

Therefore, Cynthia's average value for a possession is 0.8.

It's worth noting that the expected value is another term for the average value in this context. So Cynthia's expected value for a possession is also 0.8.

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The complete question is:

Cynthia used her statistics from last season to design a simulation using a random number generator to predict what she would score each time she got possession of the ball. Given the following data:

Integer Values: 1-14 15 16-28 29-30

Points Scored: 0 1 2 3

Frequency: 31 0 17 2

What is Cynthia's average value for a possession? What is her expected value?

The place value chart is 41,211.

The expanded form of 41,211 is 40000 + 1000 + 200 + 10 + 1.

Given,

forty-one thousand, two hundred eleven.

We need to write it in the place-value chart and write the number in expanded form.

The place value chart is given by:

Example: 13579

1 - ten thousands

3 - thousands

5 - hundreds

7 - tens

9 - ones

The expanded form is given by:

Example: 12300

10,000 + 2000 + 300

Find the place value chart of forty-one thousand, two hundred

eleven.

= 41,211

Find the expanded form of 41,211.

= 40000 + 1000 + 200 + 10 + 1

Thus,

The place value chart is 41,211.

The expanded form of 41,211 is 40000 + 1000 + 200 + 10 + 1.

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The complete proof that ΔUWX ≅ ΔWUV is explained below.

Congruent triangles are set of given triangles which have equal values of corresponding properties. Thus the triangles have equal dimensions and measure of internal angles.

The two column complete proof required are given below:

              STATEMENT                             REASONS

1. WX ║ UV                                               Given

2. < V ≅ <X                                               Given

3. <VUW ≅ <UWX                                    Definition of alternate angles.

4. UW ≅ UW                                             Reflexive property of congruence

5. ΔUWX ≅ ΔWUV                                   Angle-Side-Angle (AAS) property

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Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

Answer:

x = -2

Step-by-step explanation:

I hope this helps!

On solving the provided question we can say that by property AAA both triangle EFG and CBE are similar and in the triangle UVT and QRS  all sides are not equal, so it is not similar to any.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

in the triangle UVT and QRS

all sides are not equal, so it is not similar to any.

in triangle EFG and CBE

angle EBC = angle EGF

angle BCE = angle GFE

angle BEC = angle FEG

so by property AAA both triangle EFG and CBE are similar

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Answer:

D

Step-by-step explanation:

gegehehehjwjwjwjwwk

Integers are numbers without decimals

The integers could you have multiplied are 9 and 2

Let the numbers be x and y

So, we have:

\(\mathbf{x \times y}\)

Increase x by 1 and reduce y by 1.

So, we have

\(\mathbf{(x +1) \times (y -1) = 6 + xy }\)

Open brackets

\(\mathbf{xy -x + y - 1 = 6 + xy}\)

Subtract xy from both sides

\(\mathbf{ -x + y - 1 = 6}\)

Collect like terms

\(\mathbf{ -x + y = 6 + 1}\)

\(\mathbf{ -x + y = 7}\)

Rewrite as:

\(\mathbf{ y -x= 7}\)

The above means that, the difference between the integers is 7.

There are several integers that fit the above description;

One possibility is: 9 and 2

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The limit does not exist.

In order for such a limit to occur, the fraction \(\frac{x^{2} }{x^{2} +y^{2} }\) must be comparable to the same value \(L\), regardless of the way we take to get there \((0,0)\).

Try approaching \((0,0)\) along the x-axis.

This means setting \(y=0\) and finding the limit \(lim_{x-0} \frac{x^{2} }{x^{2} +y^{2} }\).

We obtain:

\(lim_{x-0,y=0}\frac{x^{2} }{x^{2} +y^{2} } =lim_{y=0}}\frac{x^{2} }{x^{2} +0 }\\=lim_{x-0}} \frac{x^{2} }{x^{2} } \\\\=lim_{x-0}}1\\=1\)

Now evaluate approaching \((0,0)\) along the y-axis.

This means setting \(x=0\) and finding the limit \(lim_{y-0} \frac{x^{2} }{x^{2} +y^{2} }\).

\(lim_{y-0,x-0} \frac{x^{2} }{x^{2} +y^{2} } =lim_{y-0} \frac{0}{0+y^{2} } \\=lim_{y-0} \frac{0}{y^{2} } \\=lim_{y-0} 0\\=0\)

Approaching the origin via these two methods results in distinct limits.

\(lim_{x-0,y-0} \frac{x^{2} }{x^{2} +y^{2} }\) ≠ \(lim_{y-0,x-0}\frac{x^{2} }{x^{2} +y^{2} }\)

Therefore the limit does not exist.

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The correct question is given below:

Find the limit, if it exists, or show that the limit does not exist.

\(lim_{(x,y) -(0,0)} \frac{x^{2} }{x^{2} +y^{2} }\)

the expression of the function f(z) = u(x, y) + iv(x, y) in terms of z is:

f(z) = (x^2 - y^2 - 3x) + i(-2xy + c)

where c is a constant.

To find the real-valued function v(x, y) that satisfies the Cauchy-Riemann equations and makes the function f(z) = u(x, y) + iv(x, y) analytic, we can use the Cauchy-Riemann equations:

∂u/∂x = ∂v/∂y   (1)

∂u/∂y = -∂v/∂x  (2)

Given u(x, y) = x^2 - y^2 - 3x, we can start by finding the partial derivatives of u:

∂u/∂x = 2x - 3    (3)

∂u/∂y = -2y      (4)

Now, we equate equation (1) with equation (4) to find ∂v/∂x:

∂v/∂x = -2y     (5)

Similarly, we equate equation (2) with equation (3) to find ∂v/∂y:

∂v/∂y = 2x - 3    (6)

To find v(x, y), we integrate ∂v/∂x with respect to x and ∂v/∂y with respect to y:

v(x, y) = -2xy + h(y)    (7)

v(x, y) = x^2 - 3y + g(x)   (8)

Here, h(y) and g(x) are arbitrary functions of y and x, respectively.

To make the function f(z) = u(x, y) + iv(x, y) analytic, we need v(x, y) to satisfy the Cauchy-Riemann equations. Comparing equations (5) and (7), we get:

h'(y) = 0

This implies that h(y) is a constant, which we can denote as c.

Comparing equations (6) and (8), we get:

g'(x) = 2

Integrating g'(x) with respect to x, we get:

g(x) = 2x + k

Here, k is another constant.

Substituting these values back into equations (7) and (8), we get:

v(x, y) = -2xy + c

v(x, y) = x^2 - 3y + 2x + k

Now, we have the real-valued function v(x, y) as:

v(x, y) = -2xy + c

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Hence, the average rate of change of the function h(t) = cot(t) over the interval [4, 4π] is undefined.

To find the average rate of change of the function h(t) = cot(t) over the interval [4, 4π], we can use the formula:

Average rate of change = (h(b) - h(a)) / (b - a)

Where a = 4 and b = 4π.

Substituting the values into the formula:

Average rate of change = (cot(4π) - cot(4)) / (4π - 4)

Since cot(4π) is equal to cot(0), and cot(0) is undefined, we cannot evaluate the average rate of change using this formula. The function cot(t) has vertical asymptotes at multiples of π, including 0 and 4π. Therefore, the function is not defined at these points.

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The area of circle C, which passes though points W and Z is 324π square meters.

The center of the outer circle, Point D, is where we want to calculate the area of the circle has a WZ diameter and WC and CZ radii.

That YZ = YD = 10 cm is known.

Let DC = x and CY = 10 - x

The outer circle's radius can be expressed as 8 + 8 + x or 10 + 10 - x, which we can equate to determine its value of x

8 + 8 + x = 10 + 10 - x

Simplify

16 + x = 20 - x

Subtract 16 on both side, we get

x = 4 - x

Add x on both side, we get

2x = 4

Divide by 2 on both side, we get

x = 2

As a result, the circle's radius is

= 8 + 8 + x

= 16 + x

= 16 + 2

= 18 cm

The area of circle = πr²

The area of circle = π(18)²

The area of circle = 324π

Thus, the circle's area is 324π square meters.

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The complete question is:

Line segment WX is the radius of circle X, and line segment ZY is the radius of circle Y. Points W, X, C, Y, and Z are all on line segment WZ.

What is the area of circle C, which passes though points W and Z?

A. 81

B. 164

C. 324

D. 1296

The coordinates of R between points Q and R are (5/4, -2)

From the question, we have the following parameters that can be used in our computation:

Q(9, -5) and S(-10, 3)

We have the partition to be

m : n = 3 : 5

The coordinate is then calculated as

R = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)

Substitute the known values in the above equation, so, we have the following representation

R = 1/8 * (3 * -10 + 5 * 8, 3 * 3 + 5 * -5)

Evaluate

R = (5/4, -2)

Hence, the coordinate is (5/4, -2)

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The answer is "infer from a sample the characteristics of a population."

Inferential statistics allow us to infer from a sample the characteristics of a population.

Thus, the correct answer is "infer from a sample the characteristics of a population."

Inferential statistics is the method of drawing inferences about a larger population based on a sample of data taken from it.

It is an essential aspect of statistics that involves the analysis of the data and drawing conclusions from it by estimating characteristics and making predictions about the population's parameters.

In other words, inferential statistics allow researchers to infer characteristics about a population based on the characteristics of a sample.

It is used to make inferences about the parameters of a population, such as the mean, variance, and proportions.

These inferences are usually accompanied by an estimation of the uncertainty associated with the results. T

Therefore, the answer is "infer from a sample the characteristics of a population."

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The statement "Because in a randomized controlled trial (RCT), the assignment is random, therefore there is no coverage bias---by definition" g is false because, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

Random assignment in an RCT can help to reduce selection bias, but it does not guarantee the absence of coverage bias.

Coverage bias can occur if the participants who are enrolled in the trial do not represent the population to which the results will be generalized.

For example, if the trial only includes participants who are healthier or more compliant than the typical patient, the results may not be applicable to the broader population.

Therefore, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

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Answer:

43.1

Step-by-step explanation:

The surface soil of the entire garden within the fencing that needs to be turned prior to planting is approximately 176.625 square feet.

To calculate the area of the circular garden, we need to know the radius of the garden. We can find the radius by using the formula for the circumference of a circle, which is

C = 2πr

Where C is the circumference and r is the radius.

In this problem, we are given that the circumference of the garden is 47.1 feet, so we can set up the equation as

47.1 = 2πr

Solving for r, we get

r = 47.1 / (2π)

r ≈ 7.5 feet

Now that we know the radius, we can calculate the area of the garden using the formula for the area of a circle, which is

A = πr²

Substituting the value we found for r, we get:

A = 3.14 × (7.5)²

A ≈ 176.625 square feet

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Answer:

S = 2π(3^2) + 2π(3)(8) = 66π cm^2

= 207.35 cm^2

Answer:

432.24

Step-by-step explanation:

According to the table, the annual premium per $\$100$ for a wood house in the country is $0.6$ for building coverage and $0.69$ for contents coverage.

To calculate the monthly premium, we need to divide these values by $12$ and multiply them by the value of the property. For the building coverage, this is:

$$

\frac{0.6}{12}\cdot 75000 = 375

$$

And for the contents coverage, this is:

$$

\frac{0.69}{12}\cdot 10000 = 57.25

$$

So the total monthly premium is $375+57.25=\$432.25$.

However, this amount is not one of the answer choices. To find the closest answer choice, we need to look at the most similar option in the table. The closest option is probably the rural wood rating, which has an annual premium of $0.52$ for building coverage and $0.63$ for contents coverage.

Using these values, the monthly premium would be:

$$

\frac{0.52}{12}\cdot 75000 + \frac{0.63}{12}\cdot 10000 = 325 + 52.50 = \$377.50

$$

So the closest answer choice is $\boxed{\text{OA. } \$73.50}$. However, this is clearly not correct, and the correct answer is the amount we calculated earlier, $\$432.25$.

Mariah's monthly property insurance premium is $44.17.

First, let's find the annual premium for the building coverage:

Annual premium per $100 of coverage for wood house in the country is $0.6.

The value of the wood house is $75,000.

So, the annual premium for the wood house is

= (0.6 x $75,000) / 100

= $450.

Next, let's find the annual premium for the contents coverage:

So, the annual premium for the contents is

= (0.8 x $10,000) / 100

= $80.

Now, we can find the total annual premium:

= Annual premium for building + Annual premium for contents

= $450 + $80 = $530.

and,  Monthly premium = Total annual premium / 12

Monthly premium = $530 / 12 ≈ $44.17.

Therefore, Mariah's monthly property insurance premium is $44.17.

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Answer:

  (6.8, 1.3)

Step-by-step explanation:

Given:

  A(-3, -5), B(11, 4)

Find:

  P such that AP/AB = 7/10

Solution:

Using the desired relation, we have ...

  (P -A)/(B -A) = 7/10

  10(P -A) = 7(B -A) . . . . . multiply by 10(B-A)

  10P = 7B +3A . . . . . . . . add 10A to both sides

  10P = 7(11, 4) +3(-3, -5) = (77 -9, 28 -15) = (68, 13)

  P = (68, 13)/10 = (6.8, 1.3)

The point 7/10 of the way from A to B is (6.8, 1.3).

The difference between the polynomials 9x² + 8x and 2x² + 3x is 7x² + 5x.

A polynomial is formed mathematically by combining one or more algebraic terms (monomials). The roots of "polynomial" are poly- (many) and -nomial (terms). A polynomial can have exponents (powers), constants (numbers), and variables (letters), but not negative exponents or variable division.

Polynomials are typically expressed in standard form. Furthermore, because there are no similar terms among the exponents, they are arranged in descending order (largest to smallest).

To find the difference between

(9x² + 8x) - (2x² + 3x)

We do calculation

= 9x² + 8x - 2x² - 3x

= 9x² - 2x² + 8x - 3x

= 7x² + 5x

Thus, the difference between the polynomials is 7x² + 5x.

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The answer will be Buffering proximity analysis that creates polygons around one or more input features.

What are Geoprocessing and Buffering ?

Single layer studies are those that are performed on a single feature dataset, as the name implies. Buffering is the process of producing an output polygon layer with a zone (or zones) surrounding an input point, line, or polygon feature that have a given width. The area of effect around interesting features can be determined particularly well with buffers. Many geographic information system (GIS) software programmes offer a set of tools called geoprocessing, which enables users to automate a number of the tedious activities involved in handling GIS data. The typical method for geoprocessing entails the input of one or more feature datasets, a spatially explicit analysis, and the creation of an output feature dataset.

For example, suppose a natural resource manager wants to make sure that no areas are disturbed within 1,000 feet of breeding habitat for the federally endangered Delhi Sands flower-loving fly. Buffers are common vector analysis tools that can be used on points, lines, or polygons to address proximity-related questions in a GIS (Rhaphiomidas terminatus abdominalis).

Hence the Buffering proximity analysis that creates polygons around one or more input features.

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The probability of a salesperson at Owl Realty selling 5 houses in a month is 0.05 or 5%.

The probability distribution provided gives the likelihood of a salesperson selling a specific number of houses (n) in a month. In this case, we are interested in finding the probability of a salesperson selling 5 houses in a month. From the given distribution, we can directly read the probability corresponding to n=5.

Unfortunately, it appears that the probability for selling 5 houses is missing in the information provided. However, we know that the total probability for all possible outcomes must equal 1. To find the missing probability, we can add up the probabilities for all other outcomes (0-4, 6-9) and then subtract that sum from 1.

0.05 (0 houses) + 0.10 (1 house) + 0.15 (2 houses) + 0.20 (3 houses) + 0.15 (4 houses) + 0.10 (6 houses) + 0.05 (7 houses) + 0.05 (8 houses) + 0.05 (9 houses) = 0.95

Now, subtract this sum from 1 to find the probability of selling 5 houses:

1 - 0.95 = 0.05

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Answer:

the third one

Step-by-step explanation:

area of a circle vs. it's diameter

Answer:

5a+2b+10

Step-by-step explanation:

Let's simplify step-by-step.

a(6−1)+3b−b(2−1)+10

=5a+3b+−b+10

Combine Like Terms:

=5a+3b+−b+10

=(5a)+(3b+−b)+(10)

=5a+2b+10