Which of the following represents the factorization of the trinomial below?
x²- 24x+144
O A. (x+12) (x-12)
OB. (x-12)²
O C. (x+12)²
O D. (x-12)(x-2)

Answer:

I think its A

Step-by-step explanation:

Since the graph is measuring distance and time, A describes how he increases his speed while running, got a cramp, slowed his speed, then began walking until he returned home which relates to the graph the most.

The story that can match the graph is

Starting from home, Kyle jogs increasing his speed until he gets a cramp. He then slows his pace, begins walking, and returns home.

Option A is the correct answer.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

From the graph,

The y-axis is the distance.

The x-axis is the time.

This means,

The graph is about speed.

The first line shows a speed increase.

The second line shows a speed decrease.

The third line shows a constant speed.

The last line shows a decrease in speed.

Thus,

The graph shows,

Starting from home, Kyle jogs increasing his speed until he gets a cramp. He then slows his pace, begins walking, and returns home.

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Answer:

44°

Step-by-step explanation:

Answer:

\(\frac{4}{15}\)  (4/15)

Step-by-step explanation:

\(\frac{4}{6}=\frac{2}{3}\)

\(\frac{2}{5}*\frac{2}{3};\)

1- Multiply the numerators:

\(2*2=4\)

2- Multiply the denominators:

\(5*3=15\)

3- Thus:

\(\frac{2}{5}*\frac{2}{3}= \frac{4}{15}\)

Hope this helps ;)

Answer:

Step-by-step explanation:

150/50 using rise over run for the slope

The slope is 3 meaning for every pound the handling fee goes up in 3 dollars

The expected value of a random variable is the measure of the central location of a random variable.

Expected value can be defined as the weighted average value of a random variable where the weights are the probability of occurrence of each value of the random variable. It is a measure of the central location of a random variable.

It represents the average value of a random variable that is expected to occur after an experiment has been conducted several times.

The formula for the expected value is: E(x) = ∑xP(x), where x represents the different values of the random variable, and P(x) represents the probability of occurrence of each value of the random variable x.

Summary:The expected value of a random variable is the measure of the central location of a random variable. It is the average value of a random variable that is expected to occur after an experiment has been conducted several times. The formula for the expected value is E(x) = ∑xP(x).

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Answer: it represent the hours it took

Step-by-step explanation:

Answer:

Answer

Step-by-step explanation:

Step-by-step explanation:

If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B includes zero, then there is no significant difference in the shelf life of the two brands of doughnuts. If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B does not include zero, then there is a significant difference in the shelf life of the two brands.

Based on the question, a grocery store wants to determine whether there is a difference in the shelf life of two different brands of doughnuts.

They took a random sample of 40 boxes of each brand and determined the shelf life in days. A 95% confidence interval for the difference in mean shelf life between Brand A and Brand B was found.

Unfortunately, you didn't provide the actual values of the confidence interval. However, I can still explain how to interpret it.

1. If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B includes zero (e.g., -2 to 3 days), then there is no significant difference in the shelf life of the two brands of doughnuts. This means that at a 95% confidence level, we cannot conclude that one brand has a longer or shorter shelf life than the other.

2. If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B does not include zero (e.g., 1 to 4 days), then there is a significant difference in the shelf life of the two brands. This means that at a 95% confidence level, we can conclude that one brand has a longer or shorter shelf life than the other, depending on the sign of the interval (positive or negative).

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For the given dataset on crime in 90 counties in North Carolina from 1981 to 1987, a multiple linear regression analysis was conducted to answer the research question.

The selected independent variables were chosen based on logical reasoning. The findings of the regression analysis are summarized in a professional paper.

In conducting the multiple linear regression analysis, several independent variables can be considered based on logical reasoning and prior knowledge. Some possible variables that could be included in the regression model are population size, poverty rate, unemployment rate, education level, and median household income. These variables are often associated with crime rates and can provide insights into the factors influencing crime in the counties of North Carolina.

The analysis involves fitting a regression model to the dataset, assessing the significance and magnitude of the regression coefficients, examining the goodness-of-fit measures, and evaluating the overall significance of the model. The interpretation of the regression coefficients will provide insights into the relationships between the independent variables and the dependent variable (crime rate) and help understand which factors contribute significantly to the variation in crime rates among the counties.

The findings of the regression analysis, including the significant variables, their coefficients, and the overall model fit, will be summarized in a professional paper. The paper will provide a comprehensive analysis of the dataset, discuss the implications of the findings, and draw conclusions based on the results obtained from the multiple linear regression analysis.

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To create a sign chart for the polynomial function F(x) = -(x+5)(x-2)(2x-4)(x-4)², we will examine the intervals defined by the critical points and the zeros of the function.

1. Determine the critical points  -

  - The critical points occur where the factors of the polynomial change sign.

  - The critical points are x = -5, x = 2, x = 4, and x = 4 (repeated).

2. Select test points within each interval  -

  - To evaluate the sign of the polynomial at each interval, we choose test points.

  - Common choices for test points include values less than the smallest critical point, between critical points, and greater than the largest critical point.

  - Let's choose test points  -  x = -6, x = 0, x = 3, and x = 5.

3. Evaluate the sign of the polynomial at each test point

  - Plug in the test points into the polynomial and determine the sign of the expression.

The sign chart for F(x) = -(x+5)(x-2)(2x-4)(x-4)² would look like this

Intervals              Test Point         Sign

-∞ to -5                  -6                    -

-5 to 2                   0                       +

2 to 4                    3                      -

4 to ∞                    5                      +

Note  - The signs in the "Sign" column indicate whether the polynomial is positive (+) or negative (-) in each interval. See the attached sign chart.

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Answer:

the missing number is 12

Step-by-step explanation:

what divided by 6 (total # of values given) + 78 (sum of 5 given values) =  15

let x be the missing value:

(x+78)/6 = 15

x + 78 = 90

x = 12

The expression that is equal to the provided expression, x2+7x+8, is 5x/x2+2x-1.

In math, it is possible to multiply, divide, add, or subtract. The following sentence form describes an expression: (Mathematical Operator, Number or Variable, Expression) Numbers, variables, and operations make constitute a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be compared.

given

expression = x²+7x+8/x²+2x-1

x²+8/x²+7x+2x-1

5x + 1/x2 + 2x -1

5x/x²+2x-1

The expression that is equal to the provided expression, x2+7x+8, is 5x/x2+2x-1.

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The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Answer:

Hey there!

5000000-1500000=3500000

3500000/15=$233333.33

Your answer should be $233333.33

Let me know if this helps :)

The equation of the parabola that similar to f(x) = \(7x^2\) but the vertex is (3, 5) in the standard form is y = \(7(x-3)^2\) + 5

The equation of the parabola

f(x) = \(7x^2\)

The standard vertex form of a parabola is

y = \(a(x-h)^2\) + k

The coordinates of the vertex of a parabola = (3, 5)

Where (h, k)  is the coordinates

From the given function of the parabola f(x) =  \(7x^2\)

The value of a = 7

Substitute the values in the vertex form of a parabola

y = \(7(x-3)^2\) + 5

Hence, the equation of the parabola that is similar to f(x) = \(7x^2\) but the vertex is (3, 5) in the standard form is y = \(7(x-3)^2\) + 5

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Answer:

area of a circle = πr^2

So to find the area we need to know the radius. This is easy, as the radius is half of the diameter. So let's half it:

34/2 = 17m

And then substitue 17, for r:

= π(17)^2

= 289π

= 907.9202769m^2

You can round this however you like, but the best options are often either 3 significant figures, either 1 or 2 decimal places.

Answer:

x = 1

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

The triple integral of the arbitrary continuous function f(x, y, z) over the given solid in spherical coordinates is:

∫∫∫ f(r, θ, φ) r^2 sinθ dr dθ dφ,

where the limits of integration are:

r: 0 to 2

θ: 0 to π/2

φ: 0 to 2π

To set up the triple integral in spherical coordinates, we need to express the volume element in terms of spherical coordinates and determine the limits of integration.

The given solid is defined in terms of the variables a and b, where a = 4 and b = 9. We need to interpret these values in terms of spherical coordinates.

In spherical coordinates, the radial coordinate r represents the distance from the origin, the polar angle θ represents the inclination from the positive z-axis, and the azimuthal angle φ represents the rotation around the z-axis.

The limits of integration for r, θ, and φ can be determined based on the shape of the solid. From the given equation, it is clear that the solid is a cone with its vertex at the origin and its base in the xy-plane.

Since the radius of the base is b, we have r = b at the base. Therefore, the maximum limit of integration for r is b = 9.

To determine the limits for θ, we note that the solid extends from the positive z-axis (θ = 0) to the plane containing the base (θ = π/2). Thus, the limits for θ are 0 to π/2.

For φ, the solid is rotationally symmetric around the z-axis. Therefore, the limits for φ are 0 to 2π, covering a full revolution.

Now, we can express the volume element in terms of spherical coordinates. The volume element in spherical coordinates is given by dv = r^2 sinθ dr dθ dφ.

Combining all the components, the triple integral becomes:

∫∫∫ f(r, θ, φ) r^2 sinθ dr dθ dφ,

with the limits of integration:

r: 0 to 2

θ: 0 to π/2

φ: 0 to 2π

This represents the setup for evaluating the triple integral of the arbitrary continuous function f(x, y, z) over the given solid using spherical coordinates.

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The Probability that rose identifies all 3 cards in the correct order is 1/66300.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Number of Card drawn without replacement= 3

Total cards = 52

As, there is no description about cards then the total number of ways to choose is

= \(^{52}P_3\)

= 52!/ 3! 49!

= 66300

and, Favorable Condition= 1( pick one card at a time)

Now, Probability that rose identifies all 3 cards in the correct order

= 1/ \(^{52}P_3\)

= 1/ 66300

Hence, the probability is 1/66300.

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By using the concept of probability, it can be calculated that

Probability that a flood of the same size will occur in the following year = \(\frac{1}{50}\)

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

50-year flood occurs on the mississippi river in a given year

Probability that a flood of the same size will occur in the following year =  \(\frac{1}{50}\)

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Answer: The simplified form of 2x · 5z · y is 10xzy.

Step-by-step explanation:

Answer:The following list of data represents highway fuel consumption in miles per gallon. (mpg) for  Hint: you will need to calculate the midpoint for each class. Age (yrs)  C. What percentage of women are between 62.5 inches and 67.5 inches? 65. 68 ... If the top 15% of the students get A's, what is the cut-off score for an A? 75.

Step-by-step explanation:

sorry if this is wrong

Percent students having height between 62 & 64 inches, is 25%

As per the linear presentation, data is spread evenly between 58 to 66 inches.

The total 100% students are divided evenly in 8 segments, from 58 - 59 inches to 65 - 66 inches. So each segment has 100 / 8 = 12.5%

Hence, percentage students having 62 to 64 inches has 2 unit segments. They are 12.5 x 2 = 25% students.

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Answer:

x = 15

y = -26

Step-by-step explanation:

x + y = -11

x - y = 41

let x = 41 + y

substitute:

41 + y + y = -11

2y = -52

y = -26

x -26 = -11

x = 15

Answer:

x≥ -3

Step-by-step explanation:

The domain is the values that x can take

g(x) = sqrt( x+3)

This must be greater than or equal to zero

x+3  must be greater than or equal to zero

x must be greater than or equal to -3

x≥ -3

60 to the negative 3 power

Answer:

-60

Step-by-step explanation:

The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

We have,

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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complete question:

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented

by the thin curve.

1) Describe the

translation of the parent

graph.

2) How does the translation relate to the equation?

The transformation on a line such that a line is obtained which is pependicular to previous line is possible only when it is reflected through y = x axis. This can be understood as,

When line is reflected about x-axis, the x coordinate remain same where as y-coordinate changes in opposite sign with same magnitude. So reflection of line x = 3 about x axis remain same.

Simillarly reflection of line x = 3 about x = 1 remain same as x = 3.

The reflection of line x = 3 about y-axis results n a parallel line passing through x = -3.

So answer is reflection across y = x.

Answer:

a to L is 12 inches and a to n is 32 in                                                                          Step-by-step explanation:

Answer:

\(\sqrt[15]{x^7}\)

Step-by-step explanation:

If we have the expression

\(\frac{x^{\frac{4}{5}}}{x^{\frac{1}{3}}}\), we have to think about exponent rules.

If we have \(a^b \div a^c\), then the value will be equal to \(a^{b-c}\).

So \(\frac{x^{\frac{4}{5}}}{x^{\frac{1}{3}}}\) simplified will be \(x^{\frac{4}{5} - \frac{1}{3}}\)

Converting \(\frac{4}{5}\) and \(\frac{1}{3}\) into fifteenths (lcm) gets us \(\frac{12}{15} - \frac{5}{15} = \frac{7}{15}\).

We can convert \(x^{\frac{7}{15}}\) into a radical by taking the denominator root of x to the numerator.

\(\sqrt[15]{x^7}\).

Hope this helped!

Answer:

Ok, I'm pretty sure its -4