The volume of a rectangular prism is represented by the function x^3 - 9x^2 + 6x - 16. The length of the box is x^2, while the height is x + 8. Find the expression representing the width of the box.
a. x - 8
b. x + 8
c. x^2 - 8
d. x^2 + 8

Shelly bought three pairs of jeans and sweaters.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

Shelly is given $300 to spend on jeans and sweaters.

Each pair of pants is $65, each sweater is $34, and she purchases seven pieces.

As per the given question, the required solution would be as:

She could buy three pairs of jeans and three sweaters since any more would be insufficient because three pairs of jeans and three sweaters would equal $297.

65 x 3 = 195

34 x 3 = 102

Therefore, Shelly bought three pairs of jeans and sweaters.

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Answer:

The length is APPROXIMATELY equal to 12.4.

Step-by-step explanation:

Use the converse of the Pythagorean Theorem ([tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex] [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles:

[tex]13^{2} = 169[/tex]

[tex]4^{2} =16[/tex]

169-16=153.

[tex]\sqrt{153}[/tex] ≈ 12

or

[tex]\sqrt{153}=12.36931688[/tex]

or if the problem has to be exact (using radicals)

3*[tex]\sqrt{17}[/tex]

I hope this helps ;)

Answer:

The answer for the question is 666

Step-by-step explanation:

328+338=666

Answer:

666

Step-by-step explanation:

328+338=666

i ate ur friends 666 times

The radius of J is 76. so option A is correct.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

By applying Pythagoras theorem In right triangle,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(720 + J)² = (648)² + J²

518400+ J² + 1440J = 419904 + J²

1440J = 518400- 419904

J = 76

Therefore, J = 76 units is the answer.

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The correlation coefficient indicates the weakest relationship between two variables is 0.03. Therefore, the correct answer is option D.

The correlation coefficient is a measure of the strength of the linear relationship between two variables.

A correlation coefficient of 0.0 indicates no correlation—there is no linear relationship between the two variables.

A value of 0.03 indicates a very weak correlation, the weakest of the given options. Values closer to 1 or -1 indicate a stronger correlation.

Therefore, the correct answer is option D.

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"Your question is incomplete, probably the complete question/missing part is:"

Which of the following values of the correlation coefficient indicates the weakest relationship between two variables?

A) 0.42

B) -0.3

C) -0.87

D) 0.03

Answer:

3418148194765097900

Step-by-step explanation:

Just multiplied

have a great day!

Answer:

First, multiply the radius by 2 to get the diameter 18 inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of about 56.52 inches. If the diameter doubles the circumference doubles.

Step-by-step explanation:

18π = 56.52

36π = 113.04

56.52*2 = 113.04

Answer : The below pseudocode will calculate the cost by multiplying the area with 425. The output will be the room name, area of the room, and approximate cost to construct the room in dollars.

Explanation:

Given:Bob charges $425 per square metre.To develop an algorithm to calculate the area of the room and the approximate cost.

Pseudocode:

Step 1: Start                                                                                                       Step 2: Declare variables : room Name of string type,Width of float type,Length of float type,Cost of float type      

Step 3: Display "Enter the name of the room:"                                              Step 4: Read the room Name                                                                          Step 5: Display "Enter the width of the room (in meters):"                             Step 6: Read the Width                                                                                                                                                                                                           Step 7: Display "Enter the length of the room (in meters):"                           Step 8: Read the Length                                                                                   Step 9: Calculate the area of the room as Area = Width * Length                  Step 10: Calculate the cost of the room as Cost = Area * 425                       Step 11: Display "Room Name:", roomName                                                    Step 12: Display "Area of the Room (in square metres):", Area                      Step 13: Display "Approximate Cost of Construction:", Cost                          Step 14: Stop

The program will take the input as the name of the room, width, and length of the room, and then it will calculate the area of the room by multiplying width and length. Then it will calculate the cost by multiplying the area with 425. The output will be the room name, area of the room, and approximate cost to construct the room in dollars.

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Answer:

58

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

90-32=58

The p- value is approxiamately 0.0001.

To calculate the test statistic, we first need to find the standard error of the difference between the two sample proportions. The formula for the standard error is   SE =  √(( p1 ×( 1- p1)/ n1)( p2 ×( 1- p2)/ n2))   Substituting the given values into the formula,

we get   SE =  √((0.25 ×( 1-0.25)/ 200)(0.13 ×( 1-0.13)/ 300)) =0.0326. The test statistic is  also calculated as the difference between the sample proportions divided by the standard error.

Test Statistic = ( p1- p2)/ SE   = (0.25-0.13)/0.0326 =3.68.

To find the p- value, we compare the test statistic to the applicable distribution. Since the indispensable  thesis is one-  tagged( p1- p2> 0), we'd use the standard normal distribution. Looking up the test statistic of3.68 in the standard normal distribution table, we find that the corresponding p- value is veritably close to 0.0001.  

This means that if the null  thesis( H0 p1- p2 ≤ 0) is true, there's a  veritably low probability(0.0001) of observing a test statistic as extreme as the one calculated from the sample data. Hence, we've strong  substantiation to reject the null  thesis in favor of the indispensable  thesis( Ha p1- p2> 0).

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Answer: 8 to 12 years

Step-by-step explanation: A cluster is formed when several data points lie in a small interval. The domain of the cluster is the set of x-coordinates.

The range of the cluster in the scatter plot is between $40,000 and $60,000 when the data points are heavily clustered between the years 8 to 12.

Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.

Given that, on scatter plot

Years of experience is represented at x-axis

Annual Salary is represented at y-axis

From the scatter plot, it is clear that from the x-axis the data points are tightly clustered between the years 8 to 12. As major portion of the data points lie between 8 to 12 years.

Similarly, from the y-axis the data points are tightly clustered between between $40,000 and $60,000. As major portion of the data points lie between $40,000 and $60,000.

When the certain data points in a scatter plot make distinct groups, these groups are considered as clusters. Those data points normally appear to be converged around a particular value.

Therefore, the range of the cluster in the scatter plot is between $40,000 and $60,000 for the data points between the years 8 to 12.

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Step-by-step explanation:

[tex]2 \times 14 \times 13 +12 \times 10 + 14 \times 10 = \\ = 624[/tex]

The interpretation of the p-value itself does not provide certainty about the truth or falsehood of the claim being tested.

Instead, it helps assess the strength of the evidence against the null hypothesis the assumption that the proportion is not greater than 0.60.

Based on the provided information and the obtained p-value of 0.0367, there are a few conclusions draw for certain,

The researcher conducted a survey among 541 adult residents of the state regarding their opinion on raising taxes for road repairs.

In the sample, 345 residents out of the 541 agreed that taxes should be raised for road repairs.

The researcher tested a claim or hypothesis that the proportion of adults favoring raising taxes is greater than 0.60 (60%).

The p-value of 0.0367 was obtained as a result of the statistical test.

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Answer: it C trust me it right & can you please mark me Brainliest

Step-by-step explanation: Hope this help :D

☁️ Answer ☁️

C, x < 4.

2/x −3< − 1

Multiply both sides of the equation by 2.

x−6< −2 (negative 2)

Add 6 to both sides.

x < (negative 2) −2 + 6

Add −2 and 6 to get 4.

x < 4

Hope it helps.

Have a nice day noona/hyung.

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

9 + 5 + 6 = 20 (how many cards there are altogether)

9 yellow + 6 blue = 15 (how many cards are either yellow or blue)

so:

[tex]\frac{15}{20}[/tex]

simplified:

[tex]\frac{3}{4}[/tex]

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

There are 20 total cards ( 9 + 5 + 6). 15 of them are yellow or blue(9 + 6). So, the fraction is [tex]\frac{15}{20}[/tex].  [tex]\frac{15}{20}[/tex] simplifies to [tex]\frac{3}{4}[/tex].

Step-by-step explanation:

0.00065

Hope it helps....

Main answer: f(z) = Reſiz is differentiable at every point of the complex plane where partial derivative with respect to x exists and the Cauchy-Riemann equations are satisfied.

Supporting answer: Given f(z) = ReſizLet z = x + iy∴ f(z) = Re(x + iy)z = x - iyi.e. x = ½ (z + z¯)and y = -½i(z - z¯)Hence f(z) = ½ (z + z¯ ) Differentiating f(z) partially with respect to x, we get,fx = ∂(x + y)/∂x = 1And differentiating f(z) partially with respect to y, we get,fy = ∂(x + y)/∂y = 1Now, for f(z) to be differentiable, it is necessary thatfx = uxx + ivxxandfy = uyx + ivyxwhere u = Re (f(z)) and v = Im(f(z))i.e. uxx = vyyanduyx = -vxy These equations are known as the Cauchy-Riemann equations. On substituting, we get uxx = vyy∴ 1 = 0which is not true. Hence f(z) is not differentiable when partial derivative with respect to y exists. So f(z) is differentiable at every point of the complex plane where partial derivative with respect to x exists and the Cauchy-Riemann equations are satisfied.

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Step-by-step explanation:

1cantimeter=10mm

14mm=1.4cm

Area of circle pi r²=pi*1.4²=1.96pi

Answer:

D

Step-by-step explanation:

Step 1(Base step) − It proves that a statement is true for the initial value.

Step 2(Inductive step) − It proves that if the statement is true for n=k, then it is also true for n=k+1.

P(4, 2, 6) is on the given surface, but Q(5, 1, -11) is not. The correct answer is that P is on the surface, but Q is not

To determine whether the points P(4, 2, 6) and Q(5, 1, -11) lie on the given surface, we need to check if their coordinates satisfy the equation r(u, v) = <u + v, u^2 - v, u + v^2>.

For P(4, 2, 6):

Plugging in the coordinates of P into the equation, we have:

r(4, 2) = <4 + 2, 4^2 - 2, 4 + 2^2> = <6, 14, 8>.

The coordinates of P(4, 2, 6) match the coordinates obtained from the equation, so P lies on the surface.

For Q(5, 1, -11):

Plugging in the coordinates of Q into the equation, we have:

r(5, 1) = <5 + 1, 5^2 - 1, 5 + 1^2> = <6, 24, 6>.

The coordinates of Q(5, 1, -11) do not match the coordinates obtained from the equation, so Q does not lie on the surface.

Therefore, the correct answer is that P is on the surface, but Q is not. The given coordinates for P(4, 2, 6) satisfy the equation, while the coordinates for Q(5, 1, -11) do not match the equation, indicating that Q does not lie on the given surface.

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B) A high correlation between two or more independent variables would indicate the possible presence of multicollinearity in a regression analysis.

Multicollinearity occurs when two or more independent variables in a regression model have a strong correlation with one another, making it difficult to distinguish the individual influence of each independent variable on the dependent variable.

Poorly constructed experiments, heavily observational data, introducing new variables that are dependent on other factors, including identical variables in the dataset, incorrect use of dummy variables, or inadequate data can all lead to multicollinearity.

Calculating the variance inflation factor (VIF) for each independent variable is one way for detecting multicollinearity; a VIF value more than 1.5 shows multicollinearity.

To correct multicollinearity, one of the highly correlated variables can be removed, combined into a single variable, or a dimensionality reduction approach such as principal component analysis can be used.

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Answer:

15 times 2 = 30

diameter = 30

Step-by-step explanation:

1) The component form of AB is (-3-0, 5-2) or (-3, 3). 2) AB = (-3, 3).

3) The coordinates of the point 2/3 of the way from A to B are (3, -1).

1) The component form of AB is (-3-0, 5-2) or (-3, 3).

2) AB = (-3, 3).

3) To determine the coordinates of the point 2/3 of the way from A to B, we can use the formula for finding a point on a line segment. Let's call the point we're looking for C. The x-coordinate of C can be found by taking 2/3 of the difference between the x-coordinates of A and B and adding it to the x-coordinate of A. Similarly, the y-coordinate of C can be found by taking 2/3 of the difference between the y-coordinates of A and B and adding it to the y-coordinate of A.

Using this formula, we can calculate the x-coordinate of C as:

x-coordinate of C = (2/3)*(2 - 5) + 5 = (2/3)*(-3) + 5 = -2 + 5 = 3.

And the y-coordinate of C as:

y-coordinate of C = (2/3)*(0 - (-3)) + (-3) = (2/3)*(3) - 3 = 2 - 3 = -1.

Therefore, the coordinates of the point 2/3 of the way from A to B are (3, -1).

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To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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Answer:

5/8

Step-by-step explanation:

if 1/8 is used for one batch . for five batch=1/8*5=5/8

The rate of increase for the selected automobiles between 2019 and the present time is 24%. The average cost of the selected automobiles increased from $14,000 in 2019 to $17,360 at present.

To calculate the rate of increase, we can use the formula: rate of increase = (new value - old value) / old value * 100%. Substituting the values into the formula, we get (17,360 - 14,000) / 14,000 * 100% = 3,360 / 14,000 * 100% = 0.24 * 100% = 24%. Therefore, the rate of increase for these automobiles over the given time period is 24%.

In summary, the selected automobiles experienced a rate of increase of 24% between 2019 and the present time. This means that, on average, the cost of these automobiles increased by 24% over the specified period.

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Answer:

x=6

Step-by-step explanation:

4.3 + 3.2x = 23.5​

-4.3 on both sides

3.2x=19.2

divided by 3.2

x=6

Answer:

N=19

Step-by-step explanation:

BNA Brand New Animal is the best anime