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

Answers

Answer 1

The volume of a rectangular prism is represented by the function x³ − 9x² + 6x − 16, while the length of the box is x² and the height is x + 8. We are required to find the expression representing the width of the box.

Solution: The formula for calculating the volume of a rectangular prism is: V = Iwhere V = Volume, l = Length, w = Width and h = Height Given that the length of the box is x² and the height is x + 8.The volume of the box is represented by x³ − 9x² + 6x − 16. Therefore, we can equate them as follows;x³ − 9x² + 6x − 16 = lwhx³ − 9x² + 6x − 16 = (x²)(w)(x + 8)Since we know that the length of the box is x² and the height is x + 8. We can write the expression for the width of the box as: w = (x³ − 9x² + 6x − 16)/((x²)(x + 8))w = (x − 8)Therefore, the expression representing the width of the box is x − 8. Answer: a. x − 8

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Answer 2

The expression representing the width of the box is (x - 16 - 10/x) / (x + 8).

Option A (x - 8) is incorrect.

Option B (x + 8) is incorrect.

Option C (x² - 8) is incorrect.

Option D (x² + 8) is incorrect.

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.

To find: The expression representing the width of the box.

Solution:

Volume of a rectangular prism = length x width x height

Given, the length of the box is x², while the height is x + 8.

And, the volume of the rectangular prism is given by the function x³ - 9x² + 6x - 16.

Therefore, Volume of the rectangular prism = x² × width × (x + 8)

Or, x³ - 9x² + 6x - 16 = x² × width × (x + 8)

Or, (x³ - 9x² + 6x - 16) / (x² × (x + 8)) = width

Or, [x³ - 16x² + 7x² - 16x + 6x - 16] / [x²(x + 8)] = width

Or, [(x³ - 16x² + 7x²) + (-16x + 6x - 16)] / [x²(x + 8)] = width

Or, [x²(x - 16) + x(-10)] / [x²(x + 8)] = width

Or, [x²(x - 16 - 10/x)] / [x²(x + 8)] = width

Or, (x - 16 - 10/x) / (x + 8) = width

Therefore, the expression representing the width of the box is (x - 16 - 10/x) / (x + 8).

Hence, option A (x - 8) is incorrect.

Option B (x + 8) is incorrect.

Option C (x² - 8) is incorrect.

Option D (x² + 8) is incorrect.

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Related Questions

Write 6.5.x 10-4
as an ordinary number​

Answers

Step-by-step explanation:

0.00065

Hope it helps....

Suppose that a researcher studying public opinion on raising taxes to pay for road repairs finds that in a simple random sample of 541 adult residents of the state, that 345 of the residents agree that taxes should be raised for road repairs. When testing the claim that the proportion of adults who favor raising taxes is greater than 0.60, the P-Value of 0.0367 is obtained.


Interpret this result for someone who doesn't know statistics.

They ask: "what can we know for certain?" Broadly answer their question.

Answers

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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A circle has a radius of 15 cm. Find the diameter

Answers

Answer:

15 times 2 = 30

diameter = 30

Step-by-step explanation:

ANOTHERRR >: D
THANKS FOR ALL THE PEOPLE HELPINGG < 3

Answers

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.

») What is the circumference of the rim of a basketball hoop with a radius of 9 inches? First, multiply the radius by__ to get the diameter__ inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of
about__ inches. ») Convince Me! If the diameter is doubled, what happens to the circumference? Explain.​

Answers

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

what is the measure of ∠x?

Answers

Answer:

58

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

90-32=58

Here is my question.

Answers

Answer:

5/8

Step-by-step explanation:

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

Which of the following would indicate the possible presence of multicollinearity in a regression analysis?
a. a significant p-value for a test of overall significance
b. a high correlation between two or more independent variables.
c. a small value for the coefficient of determination
d. All of these choices would be indicators of possible multicollinearity.

Answers

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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In 2019, selected automobiles had an average cost of $14,000.
The average cost of those same automobiles is now $17,360. What was
the rate of increase for these automobiles between the two time
period

Answers

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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Bob a builder has come to you to build a program for his construction business. He needs to determine the square footage of a room in order to buy materials and calculate costs. Bob charges $425 per square metre. The program is going to ask the user to enter the name of a room. It will then ask for the width and length of the room (in meters) to be built. The program will calculate the room area and use this information to generate an approximate cost. Your program will display the room, the total area and the approximate cost to the screen. Using Pseudocode, develop an algorithm for this problem.

Answers

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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The width of a rectangle is 4 feet and the diagonal length of he rectangle is 13 feet what is the measurement is the closest to the length of the rectangle in feet

Answers

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 ;)

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

Answers

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

5,000 x 683,629,638,953,019.582

Answers

Answer:

3418148194765097900

Step-by-step explanation:

Just multiplied

have a great day!

The sum of a number and 12 is 31. What is the number? 31 n 12.​

Answers

N + 12 = 31
N = 31 - 12
N = 19

Answer:

N=19

Step-by-step explanation:

BNA Brand New Animal is the best anime

Determine whether the points P and Q lie on thegiven surface.
r(u, v) =‹u+v, u2 - v,u + v2›
P(4, 2,6)
Q(5, 1,-11)
P and Q are on thesurface.
P is on the surface, butQ is not.
Q is on the surface, butP is not.
Neither P or Q are onthe surface.

Answers

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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You Got to Leon and mango house and you decide to eat them, You Eat Mango 328 Times And You eat Leon 338 Times. How many times did you eat my friends leon and mango today? Dana Says That 60 Times And I Say That 666 Times.... Say Your answer Down below

A. 60 Times

B. 11 Times

C. 100 Times

D. 666 Times

PLEASE HOW YOUR WORK!

Answers

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 scatter plot shows the relationship between annual salary and years of experience. What is the range of the cluster shown in the scatter plot?
A) 1 to 15 years of experience
B) 8 to 12 years of experience
C) $10,000 to $90,000 annual salary
D) $40,000 to $60,000 annual salary

Answers

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.

What is scatter plot?

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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Please Help!!!! What is the final step to prove....

Answers

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.

The answer d n=k+1 that the answer

In the diagram, point K is a point of tangency, MK = 720, and MN = 648. What is the radius of J

A. 76
B. 70
C. 72
D. 64

Answers

The answer to the question is A.

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

What is the Pythagoras theorem?

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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Solve for x. 4.3 + 3.2x = 23.5​

Answers

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

Find the area of a circle with radius 14 mm. Round your answer to the nearest tenth.

Answers

Step-by-step explanation:

1cantimeter=10mm

14mm=1.4cm

Area of circle pi r²=pi*1.4²=1.96pi

Determine at which points f(z) = Reſiz) is differentiable by using the limit definition of the derivative

Answers

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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question 9 of 10 explain how you can determine the sign of the sum of two integers if one integer is positive and the other integer is negative.

Answers

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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What is the area of the base?

Answers

30 i think that should be it
Hope that helped
31 i think i don’t know if that’s right

Let A = (5,-3) and B = (2,0).
1) Determine the component form of AB.
2) AB = __________
3) Determine the coordinates of the point 2/3 of the way from A to B.

Answers

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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Please help !!!!!! Thanks

Answers

Step-by-step explanation:

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

A total of 397 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

We know:
397 total
53 fewer student tickets than adult tickets

Variables: A for adult tickets, S for student tickets

Known Equations:
a + s = 397
a = s + 53

Solving:
2s + 53 = 397 so 2s = 344 so s = 172

s + a = 397
172 + (172 + 53) = 397 so 172 + 225 = 397

Adult tickets sold: 225
Student tickets sold: 172


A box is filled with 9 yellow cards, 5 red cards, and 6 blue cards. A card is chosen at random from the box. What is the probability that it is a yellow or a blue card? Write your answer as a fraction in simplest form

Answers

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].

Shelly has $300 to shop for jeans and sweaters.
Each pair of jeans cost $65, each sweater costs $34,
and she buys 7 items. Determine the number of
pairs of jeans and sweaters Shelly bought.

Answers

She could buy 3 pairs of jeans and 3 sweaters because any more than that she would not have enough for because 3 jeans and 3 sweaters would equal $297
65x3=195
34x3=102

Shelly bought three pairs of jeans and sweaters.

What is a numerical expression?

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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consider the hypothesis test. h0: p1 − p2 ≤ 0 ha: p1 − p2 > 0 the following results are for independent samples taken from the two populations. sample 1 sample 2 n1 = 200 n2 = 300 p1 = 0.25 p2 = 0.13
(a)
Calculate the test statistic. (Round your answer to two decimal places.)
What is the p-value? (Round your answer to four decimal places.)
p-value =

Answers

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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Other Questions
Young's modulus is a proportionality constant that relates the force per unit area applied perpendicularly at the surface of an object to:O the pressureO the shearO the fractional change in lengthO the fractional change in volume A toy company is working on a building monster for kids. Afterconducting a market survey, the demand forecast for the year wasestimated. In order to meet the demand, the production line shouldbe ca Evaluate the line integral, where C is the given curve. C is the right half of the circle x2 + y2 = 16 oriented counterclockwise Integral (xy^2)ds A company uses a standard cost system in which variable manufacturing overhead (VMOH) is applied to products on the basis of Direct Labor Hours (DLHS). Their product standard calls for 2 DLHs per unit. For the most recent period, the company reported the following data Actual Units Produced 229 units Actual Direct Labor Hours 450 hours Actual VMOH expense $18,000 VMOH Rate Variance $1,800 favorable Q. What was the VMOH efficiency variance? Take two String inputs of the same length and merge these by taking one character from each String (starting with the first entered) and alternating. If the Strings are not the same length, the program should print "error". Initial public offering on April 13, 2017 Yextinc completed its IPO on NYSE Yest sold 10,500,000 shares of stock at an offer price 512 with an underwriting decount of $0.72 per share Your's closing stock prce on the first day of trading on the secondary market was $13.44, and 5.400.470 shares were standing Calculate the intal proceeds for Yes Po b. Calculate the percentage underwriter dcount Calculate the dollar amount of the underwriting for Yox PO Caut procede for IPO Cote Youth Punderpricing I. Calea capital The total proceeds for You Pos Round to the moreet dolor) b. The percentage Underwriter discount and to do e. The con amount of Saunderwriter fra for Yound to the nearest dolar) d. The net proceeds for Youts POS (Pound 10 error) .. Yes to underping Round to one deomal por martiet cotatation (Round to the dearest dolar) A 32 lb weight is attached to a spring suspended from a ceiling. The weight stretches the spring 2 ft. The weight is then pulled down 6 in. below its equilibrium position and released at T = No external forces are present: but resistance of the medium is 10ds (Ft. per sec.) Find the equation of the motion. If a startup budget is tight, a business idea's promise islikely to be determined by the entrepreneur's ability totest market reactions to gauge its odds for success.hire competent employees. Construct a 95% confidence interval for u1 - u2. Two samples are randomly selected from normal populations. The sample statistics are given below. n1= 11 n2 = 18 x1 = 4.8 x2 = 5.2 s1 = 0.76 s2 = 0.51 Which of the following statements describes a reason as to why you would need to copy a worksheet within a workbook?It's the easiest way to make a backup before making changes.It lets you reuse formats and formulas in a new sheet.It helps Excel learn where your data ranges are located.You should keep one worksheet hidden in case of an error. How many ways are there to choose a selection of 3 vegetablesfrom a display of 10 vegetables at a cafeteria? true/false. The below Threshold Reprogramming for procurement, either max in or max out, has been limited to only $20 million or only 20%. mary smith would like to invest in 10 t-bills that will have a maturity value of $1,000. the bills have a stated interest rate of 2 percent. what would be the purchase price of these t-bills? True or False:A CDS is a standardized contract that could be used by partiesto trades of a credit derivatives contract. . what is the ph of a 0.015 m aqueous solution of barium hydroxide (ba(oh)2)? a) 12.25 b) 1.82 c) 12.48 d) 1.52 e) 10.41 Dec 31, 2020 $58,500 Cash 63,000 Notes Receivable 121,500 Supplies & Inventory 54,000 Prepaid expense 81,000 Long-term investments 144,000 Machines and tools (45,000) Accumulated depreciation-equipment Total Assets $639,000 $477,000 Liabilities & Stockholders' Equity Accounts payable $ 76,500 $ 31,500 Bonds payable (long-term) 166,500 211,500 Common Stock 180,000 103,500 Retained Earnings 216,000 130,500 Total Liabilities & Stockholders' Equity $639,000 $477,000 Income Statement Information (2021): 1. Net income for the year ending December 31, 2021 is $130,500. 2. Depreciation expense is $18,000. 3. There is a loss of $9,000 resulted from the sale of long-term investment. Additional information (2021): 1. All sales and purchases of inventory are on account (or credit). 2. Received cash for the sale of long-term investments that had a cost of $81,000, yiel 3. Cash dividends paid is $45,000. 4. The company purchased new machines and tools for $22,500 cash, Assets Dec 31, 2021 $351,000 72,000 81,000 31,500 0 166,500 (63,000) Introduction of the selected e-commerce business that ventures in fashion industryClear introduction of the retail sectors covering all of the following: Name of the company Address of the company Start-up year Web address why did the revolutionairies burn down the chateau chatper 23 a tale of two cities Calculate the pH at the equivalence point for the titration of 0.230 M methylamine (CH3NH2) with 0.230 M HCl. The Kb of methylamine is 5.0 104.What is the pKa of the indicator?What is the color of this indicator in a solution with pH = 6? Compute Z, corresponding to P28 for standard normal curve. Random variable X is normally distributed with mean 36 and standard deviation. Find the 80 percentile. A coin is tossed 478 times. Use Binomial Distribution to approximate the probability of getting less than 246 tails.