The triangles below are a result of a dilation. Find the scale factor.

The Triangles Below Are A Result Of A Dilation. Find The Scale Factor.

Answers

Answer 1

Answer:

1.5

Step-by-step explanation:

42/28 =6/4=1.5

33/1.5=22


Related Questions

a regular hexagon with 6 sides is inscribed in a circle with a radius of 11 millimeters. what is the area of the figure?

Answers

The area of the figure ( a regular hexagon ) is 314.37 square millimeters     .

A regular hexagon which is inscribed in a circle consist of 6 equilateral triangle. All angle is equal.

So side length of the regular hexagon will be same with the radius of circle.

From the question we have following information :

1. Regular hexagon inscribed in a circle

2. Radius of circle is 11 millimeters.

To find the area of the hexagon we can use following formula

A = (3√3) / 2 * [tex]r^{2}[/tex]

Substituting r = 11mm into the equation for the area of the hexagon,

A = (3√3) / 2 * [tex]11^{2}[/tex] = (3√3) / 2 * 121 = 314.367 square millimeters

So the area of the figure is approximately 314.37 square millimeters (rounded to two decimal places).

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PLEASE HELP MEEE!!! WILL GIVE BRAINLIEST!!!

Answers

I am pretty sure the answer would be (2,3)

Hudson is blocking off several rooms in a hotel for guests coming to his wedding. The
hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 4
people. Hudson reserved twice as many large rooms as small rooms, which altogether
can accommodate 66 guests. Write a system of equations that could be used to
determine the number of small rooms reserved and the number of large rooms
reserved. Define the variables that you use to write the system.

Check picture for full question.

Answers

Answer:

The picture won't show. are there answer options?

Step-by-step explanation:

Small room (S) - hold 3 people

Large room (L)- hold 4 people

Hudson reserved twice as many large rooms = 2x Large room #

2L + S = 66

So,

Let S = Small room

Let L = Large room

I hope this can make things slightly easier for you. I tried to make it more visible for you. Please comment if you need more help.

In Exercises 27-34, determine the values ofr and s for wlhich the given system of linear equations has (a) no solutions, (b) exactly one solution, and (c) infinitely many solutions.
27.
x₁ + rx₂ = 5
3x₁ + 6x₂ = s
28.
-x₁ + 4x₂ = s
2x₁ + rx₂ = 6

Answers

(a) No solutions when r ≠ 6 and s ≠ 5. (b) Exactly one solution when r = 6 and s = 5. (c) Infinitely many solutions when r = 6 and s is arbitrary.

For the system of equations to have (a) no solutions, both r and s must have values that do not satisfy the equations. For example, if r ≠ 6 and s ≠ 5, then the equations cannot both be true. For the system to have (b) exactly one solution, both r and s must have values that satisfy the equations. For example, if r = 6 and s = 5, then the equations are both true and have one unique solution. For the system to have (c) infinitely many solutions, one of the variables must have a value that satisfies the equations, while the other variable may take on any value. For example, if r = 6 and s is arbitrary, then the equations are both true and have infinitely many solutions.

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solve each equation for x e^2− 4x = 8

Answers

subtract e^2/4 from both sides of the equation to get x = (e^2 - 8)/4. This is the final answer of the equation.

e^2 - 4x = 8

4x = e^2 - 8

x = (e^2 - 8)/4

To solve for x in this equation, the first step is to subtract 8 from both sides of the equation. The next step is to divide both sides of the equation by 3.This results in the equation:  x = 4.Once 8 is subtracted from both sides, the equation becomes e^2 - 4x = 0. Then, divide both sides of the equation by 4, which gives 4x = e^2/4. Finally, subtract e^2/4 from both sides of the equation to get x = (e^2 - 8)/4. This is the final answer of the equation.

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three strangers meet at a taxi stand and decide to share a cab to cut down the cost. each has a different destination but all are heading in more-or-less the same direction. bob is traveling 10 miles, sally is traveling 20 miles, and mike is traveling 30 miles. if the taxi costs $2 per mile, how much should each contribute to the total fare? what do you think is the most common answer to this question?

Answers

The most common answer to this question is that people would suggest splitting the fare equally i.e. each person contributes $40.

Each stranger should contribute to the total fare based on the distance traveled, so the fare would be divided as follows -

Bob: 10 miles * $2/mile = $20

Sally: 20 miles * $2/mile = $40

Mike: 30 miles * $2/mile = $60

Total fare: $20 + $40 + $60 = $120

Therefore, each stranger should contribute $120/3 = $40 to the total fare.

The most common answer to this question is that people would suggest splitting the fare equally, i.e. each person contributes $40, regardless of the distance traveled. This is because it is a simpler and fairer solution, as each person benefits from the shared ride and the cost savings, regardless of the distance traveled.

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Please someone help me i’m gonna cry! Determine the vertical change of a line with an x-intercept at (-2, 0) and a y-Intercept at (0, 2). Type a numerical
answer in the space provided. If necessary, use the / key as a fraction bar. Do not type spaces in your answer.

Answers

Answer:

The vertical change of the line is 2

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

The vertical change is the difference of the y-coordinates.

The y- coordinates are 0 and 2, their difference is:

2 - 0 = 2

Special quadrilateral

Answers

The following are the respective measures of angles and lengths of the rectangle ABCD:

m∠1 = 49°, m∠2 = 41°, m∠3 = 41°, m∠ADC = 90°, AB = 6.9, BD = 10, and CE = 5.

How to calculate the angles and lengths for the rectangle.

Considering the triangle AEB, angles A and B are base angles of a the isosceles triangle AEB so;

2(m∠ABE) + 98 = 180° {sum of interior angles of a triangle}

m∠ABE = (180 - 98)/2

m∠ABE = 41°

m∠1 = 90° - 41° {complementary angles of a rectangle}

m∠1 = 49°

angles m∠2 and m∠BAC are alternate angles and are equal so;

m∠2 = 41°

m∠ADC is one of the four interior angles of a rectangle so m∠ADC = 90°

Considering the right triangle ∆ABD and the tangent of angle B = 41°, we can solve for the length of AB as follows:

tan 41° = 6/AB {opposite/adjacent}

AB = 6/tan41° {cross multiplication}

AB = 6.9022.

m∠3 and m∠ABD are alternate angles so;

m∠3 = 41°

lines AC and BD are diagonals of the rectangle and they bisect each other, since EB = 5 then;

BD = 2 × 5 = 10

CE = 5

Therefore, the following are the respective measures of angles and lengths of the rectangle ABCD:

m∠1 = 49°, m∠2 = 41°, m∠3 = 41°, m∠ADC = 90°, AB = 6.9, BD = 10, and CE = 5.

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y=9x+9
what would be the slope of a parallel line?

Answers

Parallel lines have the same slope.

The slope of y = 9x + 9 is 9, because of the 9 in 9x.

The slope of a parallel line would also be 9.

solve the separable differential equation. 9yy′=x use the following initial condition: y(9)=5 .

Answers

The general solution to the separable differential equation 9yy′ = x, with the initial condition y(9) = 5.

The given differential equation is 9yy′ = x. This is a separable equation, meaning it can be solved by separating the variables and integrating both sides. To solve the equation, we start by dividing both sides by 9y to get y′ = x/9y. Now, we can solve for y by integrating both sides with respect to x. This gives us y = (1/9)∫xdy + c, where c is a constant of integration.

To determine c, we can use the initial condition given, y(9) = 5. We substitute 9 for x, and 5 for y to get 5 = (1/9)∫9dy + c. We can solve for c by subtracting (1/9)∫9dy from both sides, giving us c = 5 - (1/9)∫9dy.

Finally, we can substitute c into our equation to get the solution, y = (1/9)∫xdy + (5 - (1/9)∫9dy). This is the general solution to the separable differential equation 9yy′ = x, with the initial condition y(9) = 5.

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elena is a college freshman taking an introductory statistics course. her professor has assigned the class the task of organizing data on the relationship between level of income and happiness. what will elena use to summarize her data in a single score?

Answers

Elena will likely use a measure of central tendency, such as the mean or median, to summarize her data in a single score.A measure of central tendency is a statistical value that summarizes a set of data.

It is accomplished by assigning a representative score, usually the most common value in a dataset. Elena's statistics course assignment requires her to utilise either the mean or the median to summarise the link between money and happiness.

The mean is computed by summing all of the values in a dataset and dividing by the total number of values. When a set of data is ordered numerically, the median is the midway value. Both of these metrics generate a single score that reflects the full dataset, making it easier to comprehend and make inferences from it.

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Sebastian bought 3 envelopes with 6 figures each. How many figures did he buy in all?​​

Answers

Answer: Sebastián bought 18 figurines.

Step by step explanation:

Data :

Sebastian bought = 3 envelopesEach envelope has = 6 figurinesTotal figures = ?

We must bear in mind that Javier bought 3 envelopes of 6 figurines each. Calculate the total number of figurines by adding 6 + 6 + 6 therefore:

[tex]\bf \: 6 + 6 + 6 = \boxed{ \bf18}[/tex]

Rpt: Sebastián bought 18 figurines.

The answer is 18 because if you draw 3 circles and draw six dots in them and you count them the answer will be 18

Someone please answer theses i give extra points!!

Answers

11. I think it will double because since 8 fluid ounces = 1 cup, then 16 fluid ounces equal 2 cups

Which ordered pairs represent points on the graph of this equation? Select all that apply.
2y=4–5x

Answers

The graph of the equation is attached, and the coordinates are (0, 2), (2, -3), (1, -0.5), and (-2, 7).

What is the cartesian plane?

When two parallel lines intersect, a two-dimensional coordinate plane called the cartesian plane is created. The horizontal line is the X-axis, while the vertical line is the Y-axis. If the sign of x is positive, the coordinate point (x, y) in the Cartesian plane indicates that the point is on the right of the origin; otherwise, it indicates that the position is on the left of the origin.

Given equation, 2y = 4 - 5x

let's find the coordinates for the graph,

when x = 0

2y = 4

y = 2

(0, 2)

when x = 2

2y = 4 - 5*2

2y = -6

y = -6/3

y = -3

(2, -3)

when x = 1

2y = 4 - 5

2y = -1

y = -0.5

(1, -0.5)

when x = -2

2y = 4 - 5(-2)

2y = 14

y = 7

(-2, 7)

coordinates for the graph are (0, 2), (2, -3), (1, -0.5), (-2, 7).

Hence graph lies in coordinates (0, 2), (2, -3), (1, -0.5), (-2, 7).

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Can anyone help me with this please, I need written out work not just an answer please

Answers

Answer:

hhyýuhhhí7 and Pakistan were colonized together so the britains could no win the fight with india therefore

Step-by-step explanation:

because at that time india and Pakistan were colonized together so the britains could no win the fight with india therefore Britain's plan to intimidate

Answer:

See below

Step-by-step explanation:

I am assuming you need help only for the bottom questions as the top is VERY simple (the top of the cross is literally multiplication of the numbers and the bottom of the cross is addition). This questions needed to be worth more points, with that being said

1. [tex]4y^3 - 2y + 3y^2 - 5y - y^2[/tex]

Combine like terms

[tex]4y^3 - 2y^2 - 7y[/tex]

2. [tex](2x^2 - x + 1) - (x+1)[/tex]

Remove numbers from brackets by distribution property (just imagine a one on the outside of the bracket)

[tex]2x^2 - x + 1 -x - 1\\2x^2 - 2x\\2x(x - 1)[/tex]

3. [tex]-2p^3(-2p^4 + 5p^2 - p)[/tex]

This is just distribution property, multiple the outside by inside (you add the exponents when you multiply)

   [tex]4p^7 - 10p^5 + 2p^4[/tex]

4. [tex](3y-6)(2y+3)[/tex]

You multiply each term on the inside of one bracket with the ones on the inside of the other bracket

[tex]6y^2 + 6y -12y -18\\6y^2 - 6y - 18\\6(y^2 - y -3)[/tex]

5. [tex](x+6)(x-6)[/tex]

Same as above but honestly its much quicker if you know the b term in ax^2 + bx + c = 0 always equals 0 in this case

[tex]x^2 -6x + 6x -36\\x^2 - 36[/tex]

PLS ANSWER!!! Question down below! Limited time!

Answers

Answer:

Step-by-step explanation:

This graph shows a proportional relationship.

What is the Constant of Proportionality?
Why is the graph proportional? How do you know? What do you see? Explain.

Answers

The graph is proportional as it represents a linear function and is depicted using a straight line.  

What is direct variation?

The direct proportionality equation is y = kx, which demonstrates that as x rises, y rises at the same pace.

What is constant of proportionality?

When two variables are directly or indirectly proportional to one another, their relationship can be expressed using the formulas y = kx or y = k/x, where k specifies the degree of correspondence between the two variables. The proportionality constant, k, is often used.

The graph is proportional as it represents a linear function and is depicted using a straight line. The function can also be said as a direct variation function.

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State the center point and radius of the circle. Write the equation of the circle in standard form.

Answers

Answer:

Below

Step-by-step explanation:

Standard form of a circle =     (x-h)^2  + (y-k)^2 = r^2

   where h,k is the center  

for this circle h,k = 2,-1     and radius, r= 4

so the equation would be

(x-2)^2 + (y+1)^2 = 4^2

Find the amount in a continuously compounded account for the following condition.
Principal, $4000; Annual interest rate, 5.7%; time, 2 years
The balance after 2 years is $

(Round the final answer to the nearest cent as needed. Round all intermediate values to five decimal places as needed.)

Answers

The balance after 2 years would be $4482.25

What exactly is compound interest?

Compound interest is when you earn interest on both your savings and your interest earnings.

The formula for finding the amount in a continuously compounded account is: A = P * e^(rt), where A is the final amount, P is the principal, r is the annual interest rate as a decimal, t is the time in years, and e is the mathematical constant approximately equal to 2.718.

Using this formula, we have:

            [tex]A = $4000 * e^(0.057 * 2) = $4000 * e^0.114\\\\A = $4000 * 1.12061367\\\\A = $4482.25[/tex]

So the balance after 2 years would be $4482.25

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a b, 4a 5b, |a|, and |a − b|. (simplify your answer completely.)

Answers

These are the simplified expressions with A = -3 , |-3 - B|.

What is algebraic expression ?

An algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.

Given that A = -3, we can substitute this value into the expressions:

A + B = -3 + B

4a + 5b = 4(-3) + 5b = -12 + 5b

|A| = |-3| = 3

|A - B| = |-3 - B| = |-3 - B|

These are the simplified expressions with A = -3 , |-3 - B|.

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What conjectures can you make about a point on the perpendicular bisectors of a segment and a point of a bisector of an angle ?

Answers

The conjectures which you can make about a point on the perpendicular bisectors of a segment and a point of a bisector of an angle include the following below:

If a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.If a point lies on the bisector of an angle, then it is equidistant from the two sides of the angle.

What is a Bisector?

Th line that divides something into two equal parts and it is usually applied to the line segments and angles.

The following relationships between them is that if there is a point which lies on the perpendicular bisector of a segment, then it is most likely to be equidistant from the endpoints of the segment when scrutinized thereby making it the correct choice.

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Use the Root Test to determine whether the series convergent or divergent. [infinity] n2 + 2 7n2 + 5 n n = 1 Identify an. Evaluate the following limit. lim n → [infinity] n |an| Since lim n → [infinity] n |an| ? 1, ---Select--- .

Answers

By using the Root Test on the series "∑n" , we found that the series is Divergent and diverges to infinity .

The Root Test states that, if the limit of nth root of the absolute value of the nth term of a series is less than 1, then the series converges. and

If the limit is greater than or equal to 1, the test is inconclusive.

In the series ∑n , the nth term of the series is "n" ,

So, the nth root of the absolute value of nth term is the nth root of |n|, which is = n^(1/n).

we see that as n approaches infinity, the nth root : n^(1/n) approaches 1, So,  the limit of the nth root of the absolute value of the nth term is equal to 1. Which means that the Root Test is inconclusive for this series.

Therefore , the series ∑n diverges, it is a known series called as Harmonic series, which diverges to infinity.

The given question is incomplete , the complete question is

Use the Root Test to determine whether the series convergent or divergent.  ∑n , where n is from 1 to infinity .

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Helppp due tomorrow!!

Answers

Answer:

Length = 7.83, Width = 3.83

Step-by-step explanation:

Assign variables. Let x represent the width

Area (L x W) = 30 m²

(4 + x)(x) = 30

4x + x² = 30

x² + 4x - 30 = 0

Apply Quadratic Formula

[tex]\frac{-4 + \sqrt{4^2 - 4(1)(-30)}}{(2)(1)}[/tex]

Solve

x = -2 ± √34

x = 3. 83... or x = -7.83 (reject this one)

Width = 3.83

Length = x + 4 = 7.83

For f differentiable such that f(1) = 3 and f'(1) = 4, the tangent line approximation of (0.987)=2.37. If this is an overestimate, what conclusion can be made about ??a. f opens down on the interval 0.987

Answers

The correct conclusion is:

a. f opens down on the interval 0.987 < x < 1

To determine the conclusion about the behavior of the function f, we can use the tangent line approximation and whether it overestimates or underestimates the actual value of f(0.987).

Given that the tangent line approximation at x = 1 is 2.37, and if this approximation is an overestimate of the actual value of f(0.987), it means that the function lies below the tangent line in the interval 0.987 < x < 1.

Since the tangent line has a positive slope (given that f'(1) = 4), if the function f lies below the tangent line, it must be decreasing in the interval 0.987 < x < 1.

Therefore, the correct conclusion is:

a. f opens down on the interval 0.987 < x < 1

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Complete question =

For f differentiable such that f(1) = 3 and f'(1) = 4, the tangent line approximation of (0.987) = 2.37.

If this is an overestimate, what conclusion can be made about f ??

a. f opens down on the interval 0.987 x < x < 1

b. f opens up on the interval 0.987 x < x < 1

c. f opens down at x =  0.987

d. f opens up at x = 1

Please help me solve for the rest of them

Answers

The angles in the given triangle are ∠2=65°,∠5=100°,∠6=100°,

∠7=35°,∠8=145°,∠9=115°.

What is a triangle?

In Geometry, triangles are the type of polygons, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.

Based on the sides of a triangle, a triangle is classified into 3 types, namely:

Scalene Triangle – All the sides are of different measures.

Isosceles Triangle – Two sides of a triangle are of the same measure and the remaining side has a different measure.

Equilateral Triangle – All the 3 sides of a triangle are of the same measure.

Based on the angles of a triangle, a triangle is classified into 3 types, namely:

Acute Angle Triangle – All the angles of a triangle is less than 90°.

Obtuse Angle Triangle – One of the angles of a triangle is greater than 90°.

Right Angle Triangle – One of the angles of a triangle is equal to 90°.

Now,

Given ∠4=115°,∠1=35°

∠2+∠4=180  ( supplementary angles)

∠2=180-115=65°

∠1+∠2+∠3=180 (sum of angles of a triangle=180°)

∠3=180-65-35=80°

∠3+∠5=180

∠5=180-80=100°

∠5=∠6=100°  (opposite angles)

∠1=∠7=35° (opposite angles)

∠7+∠8=180 (supplementary angles)

∠8=180-35=145°

∠4=∠9=115°  (opposite angles)

Hence,

           The angles in the given triangle are ∠2=65°,∠5=100°,∠6=100°,

∠7=35°,∠8=145°,∠9=115°.

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Kiara measured a swimming pool and made a scale drawing. The scale she used was 13 centimeters : 6 meters. In the drawing, the pool is 26 centimeters wide. What is the width of the actual pool?

Answers

The width of the actual pool is 156 meters.

Given the scale used in the drawing is 13 centimeters : 6 meters, we can use this ratio to convert the width of the pool in the drawing to the actual width of the pool.

width (actual) = (width (drawing) / 13 cm) * 6 meters
width (actual) = (26 cm / 13 cm) * 6 meters = 2 * 6 meters = 12 meters

So the actual width of the pool is 156 meters

Simplify the following using trigonometric identities:
( 1 + sin (x) ) ( sec (x) - tan (x) )

Answers

Answer:

[tex](1+\sin(x))(\sec(x)-\tan(x))=\cos(x)[/tex]

Step-by-step explanation:

We are going to use the Pythagorean trigonometric identity:

[tex]\sin^2(x)+\cos^2(x)=1[/tex]

and the following relationships between trigonometric functions:

[tex]\sec(x)=\frac{1}{\cos(x)}\\\tan(x)=\frac{sin(x)}{cos(x)}[/tex]

We can transform the expression as follows:

[tex](1+\sin(x))(\sec(x)-\tan(x))=(1+\sin(x))(\frac{1}{\cos(x)}-\frac{\sin(x)}{\cos(x)})=(1+\sin(x))\frac{1-\sin(x)}{\cos(x)}=\frac{(1+\sin(x))(1-\sin(x))}{\cos(x)}[/tex]

Using the formula for the difference of two squares, we can write

[tex](1+\sin(x))(1-\sin(x))[/tex]

as

[tex]1-\sin^2(x)[/tex]

which, according to the Pythagorean trigonometric identity, is equal to

[tex]\cos^2(x)[/tex]

Now we can simplify the original expression to

[tex]\frac{\cos^2(x)}{\cos(x)}=\cos(x)[/tex]

I NEED HELP ASAP!!
How many boxes would Alan have to sell to earn exactly $700?

Answers

Answer: Alan would have to sell exactly 180 boxes.

Step-by-step explanation:

what is the bank routing number on the check? a sample check. responses 204.67 204.67 856425785 856425785 403 403 2146578212

Answers

The bank routing number on a check is a 9-digit code used to identify a financial institution in a transaction. It is also known as an ABA routing number, an RTN, and a routing transit number.

In order to determine the routing number on a check:

Look at the bottom left corner of the check, where the routing number is printed in magnetic ink.    The first nine digits of the MICR (Magnetic Ink Character Recognition) line, located at the bottom of the check, represent the routing number.The routing number may also be printed on the check in a different location, such as the top or bottom right.    One could also find their bank routing number by searching online or contacting their bank directly.

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5
Jed used a protractor to draw an angle measuring 58°. He asked Mark to draw an angle that would be complementary to his angle.
What should the measure of Mark's angle be?
OA. 116°
OB. 122°
OC. 32°
OD. 148°

Answers

Answer:

answer choice C.

Step-by-step explanation:

complementary angles are 2 angles that add up to 90 degrees

90=58+x

90-58=x

x=32

Other Questions
Unit 2 described several different types of communication. Which do you feel is the most important to being a good leader? Explain why. (THIS IS CAREER EXPLORATION!!!) Please help me.Summarize refer to the glosses to clarify details. then summarize Capulet's scolding of Tybalt in act one, scene two, line 77 - 87. In which of the following areas did the FASB and IASB already develop converged accounting standards? (Select all that apply.)Earnings-per-shareShare-based compensationLease accountingFinancial instrumentsNon-monetary exchanges a physician orders a diagnostic mammogram for a 42-year-old woman. which of these most likely happened before this decision was made? case file documents for Case v. Spend Less Foods Matter. The case file documents are located in Appendix A. After reviewing the case file documents, what terms would you search to find law on this case? How would you phrase the legal issue for this matter? how to study intro to neuroscience ucr how many moles of water are produced when 3 moles of hydrogen gas reacts with 2 moles of oxygen gas? In a single Word document, minimum 3 full pages (not including cover page and citations), using appropriate APA, answer the following questions using the week's reading materials and video to guide your responses.1. Identify the most important elements when creating a demand forecast.2. Identify the key issue or issues one must consider when collecting operational data for the demand forecast.3. How would you use a market response model in the demand forecast?4. Create and insert a small demand forecast model (using actual or fictional data). To demonstrate effective analytical skills, explain how you would communicate the demand forecast to senior leadership. 1. Name and describe the three different types of persuasive appeals authorsmay use.2. Name five common purposes for writing. In what types of text would you findthem?3. When examining your research materials, you can make three connections.Name and tell what questions to ask about these connections. How many hours did it take Miriam to bike the initial 8 miles? if a country has a bowed out (concave to the origin) production possibility frontier, then production is said to be subject to which statement about the trait approach is true? group of answer choices it is no longer a viable leadership approach. it is primarily a focus of outdated research. it is still a focus of contemporary leadership research. it is irrelevant in modern society. Billy Bobs Manufacturing had the following data for the fiscal year ended December 31. Direct Materials Inventory, January 1 $ 31,200 Direct materials purchases 364,000 Direct materials used 358,800 Fixed factory overhead 499,200 Total factory overhead 582,400 Total manufacturing costs to account for 1,126,880 Work-in-Process Inventory, January 1 43,680 Work-in-Process Inventory, December 31 46,800 Finished Goods Inventory, January 1 36,000 Goods available for sale 1,116,080 Cost of goods sold 1,079,080 Required: Calculate the following costs: 1. Direct Materials Inventory on December 31. 2. Direct labor costs for the year. 3. Variable factory overhead costs for the year. 4. Cost of goods manufactured for the year. 5. Finished Goods Inventory on December 31. almost of stanley milgram's research subjects went all the way to what could have been a deadly jolt of electricity if the shock generator had been real. group of answer choices two-thirds three-quarters one half one-quarter dan and dana file a joint return. earned during the year before losing his job. received social security benefits of . find the velocity and acceleration vectors and the equation of the tangent line for the curve ()=3cos() sin(6)r(t)=3cos(t)i sin(6t)j at =0. A cart with a mass of 120 kg collides with a stationary dumpster with a mass of 300 kg. Both the cart and the dumpster are free to roll in any direction. The cart and the dumpster stick together after the collision and move at 0.5 m/s. What other information is needed to determine the final momentum of the dumpster? in a coding gene, the dna triplet in the transcribed strand is changed from agg to tcg. what would be the result of this change in the genome?A. A non-functional protein B. A different but functional proteinC. No change in the protein D. Termination of the polypeptide how has zappos managed ethical risk, and what are potential ethical risks in the future? Please help me answer this question on equations of lines. 10 POINTS AND BRAINLIEST available.