What is the solution to the system of equations?

y=1
y=-5x+3

Answers

Answer 1

Answer:

y=1

x=2/5

Step-by-step explanation:

1=-5x+3

-2=-5x

x=2/5

Answer 2

Answer:

x = 2/5

Step-by-step explanation:

-5*2/5+3=1

x is 2/5


Related Questions

Find each percent of change. Round to the nearest whole percent. State
whether the percent of change is an increase or decrease. $240 to $320​

Answers

Answer:400

Step-by-step explanation:3704

If the original quantity is 10 and the new quantity is 13​, what is the percent​ increase?

Answers

Answer:

30%

Step-by-step explanation

13 is a 30% increase of 10.

Answer:

30% increase

Step-by-step explanation:

subtract original quantity from new quantity: 13 - 10 = 3

divide the difference by original quantity: 3/10 = 0.30

convert that result to percentage by moving decimal place over twice to the right.

You're done! Answer = 30%

i need help with this problem. please?!?

Answers

Answer:

Step-by-step explanation:

B

Which statement is true about a line that contains the point ሺ2, 7ሻ and has a slope of 0.5?

A The line will also contain the point ሺ4, 6ሻ.
B The line will have a y-intercept of 6.
C The line will contain points whose y-coordinate will decrease in value as you move to the right
D none of the above

Answers

Answer:

I think it is C) The line will contain points whose y-coordinate will decrease in value as you move to the right

Step-by-step explanation:

HOPE THIS HELPS

11=3x-4

x=....

thanks all​

Answers

Answer:

the value of x is 5 .

Step-by-step explanation:

In order to find the value of x, you have to move the unrelated terms to the other side by adding 4 to both sides :

[tex]11 = 3x - 4[/tex]

[tex]11 + 4 = 3x - 4 + 4[/tex]

[tex]15 = 3x[/tex]

Next, you have to divide it by 3 :

[tex]3x = 15[/tex]

[tex]x = 15 \div 3[/tex]

[tex]x = 5[/tex]

Answer:

the answer is attached to the picture

Step-by-step explanation:

hope this helps

the quadratic function h(t}= -16.1t2+150

Answers

Answer:

Huh. I don't really see the question at hand.

What is the distance between (2,4) and (5,-2)

Answers

Answer:

my answer is  3√ 5

Answer:

-3

Step-by-step explanation:

Here is the formula for this one: (x 2- x 1) + (y 2- y 1).

Hope this helps.

In the inequality, what are all the possible values of x?

−8x + 6 ≤ 2(−3x + 1)
A) x ≥ 2
B) x ≤ 2
C) x > 1/2
D) x < −1

Answers

Answer:

A

Step-by-step explanation:

-8*2+6≤2(-3*2+1)

= -10≤-10

Find the slope of the line passing through the poin (- 3, 7) (2, - 6)

Answers

Answer:

[tex] \frac{13}{ - 5} [/tex]

Step-by-step explanation:

[tex] \frac{y1 - y2}{x1 - x2} \\ \frac{7 - ( - 6)}{ - 3 - 2} \\ \frac{7 + 6}{ - 5} \\ = \frac{13}{ - 5} [/tex]

Answer:

-2.6

Step-by-step explanation:

Slope or gradient is the ratio of the vertical (y axis) and horizontal distances (x axis) between two points on a line.

It should be noted that it is defined as zero if the line is horizontal, but undefined if it is vertical.

Given:

Coordinates (- 3, 7) (2, - 6)

y1 = 7, y2= -6, x1= -3, x2=2

Slope : ∆ y/ ∆ x

= (y2 - y1 )/ (x2 - x1)

= (-6 - (7))/ (2 - (-3))

= (-13)/(5) = -13:5= -2.6

PLZ HELP!! :)
You estimate that a lamb weighs 10 pounds. The actual weight of the lamb is 13 pounds. Find the percent error. Round your answer to the nearest hundredth of a percent.

Answers

Answer:

30%

Step-by-step explanation:

Seems as if that lamb was thiccccca than what you thought

Question 28
Let be an angle in quadrant such that.
Find the exact values of and.

Answers

Answer:

see explanation

Step-by-step explanation:

Since Θ is an angle in the third quadrant, then secΘ < 0 and tanΘ > 0

Using the identity

sec x = [tex]\frac{1}{cosx}[/tex] , then

cos x = - [tex]\sqrt{1-sin^2x}[/tex]

         = - [tex]\sqrt{1-(-3/5)^2}[/tex] = - [tex]\sqrt{1-\frac{9}{25} }[/tex] = - [tex]\sqrt{\frac{16}{25} }[/tex] = - [tex]\frac{4}{5}[/tex], thus

secΘ = [tex]\frac{1}{-\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex]

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

Using the identity

tan x = [tex]\frac{sinx}{cosx}[/tex] , then

tanΘ = [tex]\frac{-\frac{3}{5} }{-\frac{4}{5} }[/tex] = - [tex]\frac{3}{5}[/tex] × - [tex]\frac{5}{4}[/tex] = [tex]\frac{3}{4}[/tex]

The value of sec(x) is (5/4) and tan(x) will be (-3)(4).

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios.

The six trigonometric ratios are the source of all fundamental trigonometric identities.

The given value of sin (x) is ( -3 / 5 ). The values of sec(x) and tan(x) will be calculated as below:-

sec(x) = 1 / cos(x)

[tex]cosx = \sqrt{1-sin^2x}[/tex]

[tex]cosx = \sqrt{1-(\dfrac{-3}{5})^2}[/tex]

cos(x) = 4 / 5

sec(x) = 1 / ( 4 / 5 ) = ( 5/ 4)

The value of tan(x) will be calculated as:-

tan(x) = sin(x)/cos(x) = ( -3 / 5 ) / (4 / 5 )

tan(x) = (-3/4)

Therefore, the value of sec(x) is (5/4) and tan(x) will be (-3)(4).

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A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse. Enter a number in the box to correctly complete the statement. Round the answer to the nearest tenth. The distance from the boat to Beachton is 16 point 9 km

Answers

Answer:

16.9 km

Step-by-step explanation:

From the diagram attached, we can see that the problem forms a triangle.

So, to find the distance(d) from the boat to Beachton , we can make use of Pythagoreas theorem.

Thus;

d² = 16.8² + 2.2²

d² = 282.24 + 4.84

d² = 287.08

d = √287.08

d = 16.9434

Approximating to the nearest tenth, we have;

d ≈ 16.9 km

Habib is making some scones.
His recipe tells him to bake the scones at 356°F for 30 minutes.
The temperature gauge on Habib's oven shows the temperature in
degrees Celsius, "C.
The formula to convert °F (Fahrenheit) into °C is:
C = 5F - 160
At what temperature, in °C, should Habib bake his scones?​

Answers

Answer:

1620°C

Step-by-step explanation:

Using the equation

C = 5F - 160, at 356°F we'll have

C = 5(356) - 160

C = 1780 - 160

C = 1620°C

j divided by 9 is 5 , write an equation to represent the following statement

Answers

Answer:

The first answer is incorrect

Step-by-step explanation:

45 divided by 9 is 5 not 40

The equation that represents the statement is j / 9 = 5.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

The statement j divided by 9 is 5 can be written in equation form as follows:

j / 9 = 5

j = 45

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A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 8. A line divides the box at 6.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 4 to 16, and the box ranges from 4 to 11. A line divides the box at 9.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 10. A line divides the box at 8.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 3 to 16, and the box ranges from 4 to 9. A line divides the box at 7.

Answers

Answer:A

Step-by-step explanation:

A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 8. A line divides the box at 6. Option A is correct.

What is a box plot?

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value. Horizontal lines on both sides of the rectangle show the lower and upper quartiles.

Here,

The lower quartile (Q1) of the data set is 3, so the bottom of the box must start at 3.
The interquartile range (IQR) is 5, so the upper quartile (Q3) must be
Q1 + IQR = 3 + 5 = 8


The median (also called the first quartile) is halfway between Q1 and Q3, so it must be at (Q1 + Q3) / 2 = (3 + 8) / 2 = 6.

The whiskers extend to the minimum and maximum values within 1.5 * IQR of the box, so they must range from 2 to 15.

Learn more about box plots here:

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Parallelogram efgh has sides of length 20 inches and 14 inches as shown. Its acute angle measures 62 degrees. Find the area of efgh to the nearest square inch

Answers

Answer:

The area of the parallelogram is 247 inches^2 to the nearest square inch

Step-by-step explanation:

This question asks us to calculate the area of a parallelogram given the sides and an acute angle.

Please check attachment for diagrammatic representation of the said parallelogram.

Mathematically, the area of the parallelogram can be calculated using the formula;

A = ab sin θ

where a and b refers to the length of the two sides and θ being the acute angle

Substituting these values, we have

A = 20 * 14 * sin 62

A = 280 sin 62 = 247.23 which is 247 inches^2 to the nearest square inch

help plz! (a + b - c)(a + b + c) multiplying polynomials

Answers

Answer:

a^2 + 2ab + b^2 - c^2

Step-by-step explanation:

When you multiply all the terms together you get a^2 + ab + ac + ab + b^2 + bc - ac - bc - c^2. Then you can just combine like terms and simplify it to a^2 + 2ab + b^2 - c^2. Hope this helps :)

Hailey has 48 inches of ribbon. How many feet of ribbon does she have?

Answers

Conversion:

12 inches = 1 foot

Divide:

48 / 12 = 4

Therefore, Hailey has 4 feet of ribbon.

Best of Luck!

Answer: 4 foot of ribbon

Step-by-step explanation: there is 12 inches in one foot so this means to get the answer you must divide 48 by 12 to get 4 so 4 feet is the answer

hope this helps and mark me brainliest if it did hope you have a great day

HELP PLZ 12+points
Select the correct answer from the drop-down menu.
Luther and Nelson are seniors on the school basketball team. The box plots represent the number of points they scored in 20 randomly selected games.

The number of points Nelson scores in each game is generally__?___ the number of points Luther scores in each game.

CHOICES FOR THE BLANK:
A)greater than
B)less than
C)the same as

Answers

Answer:

more than

Step-by-step explanation:

Answer: (A ) greater than

Step-by-step explanation:

The answer is greater than the number Of points Luther scores in each game

All you have to do is count the little lines and wherever the little end part of the line in box ends is the number of points he gets a game so Nelson is 24 points and Luther is 19 points.

Stir-fry is Vince's favorite food to cook, but it always makes a lot of smoke! Vince needs to know the volume of his kitchen so he can buy a fan that is the right size. Vince's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of Vince's kitchen?

Answers

Answer:

The volume of Vince’s Kitchen is 680 cubic feet

Step-by-step explanation:

To calculate the volume of Vince’s kitchen, what is needed to be done is to multiply the area of the floor by the height of the kitchen

Mathematically Volume V of kitchen = area of kitchen floor * height of kitchen

From the question, the area of the kitchen floor = 85 square feet

Height of kitchen = 8 feet

Plugging these values to get the area of the Kitchen, we have;

V = 8 * 85 = 680 cubic feet

What is the water shed

Answers

Answer:

Watershed is a drainage basin in a particular area where precipitation collects or stores and drains off in a river or bay etc.

hope it helps!

Answer: A watershed describes an area of land that contains a common set of streams and rivers that all drain into a single larger body of water, such as a larger river, a lake or an ocean.  the Mississippi River watershed is an enormous watershed.  Small watersheds are usually part of larger watersheds.

2. 2x - y = 6,
- x + y = -1

Answers

Answer:

x = 5

y = 4

Step-by-step explanation:

just substitute the value of one variable into the other

-x +y = -1

or y = -1 +x   <-------- (i just added x to the right side)

now u know what y is equal to, just substitute that value into the first equation

2x - (-1+x) = 6     <-------- instead of y, i put the value of y from the 2 equation

NOW SOLVE FOR X!

2x +1 -x = 6

x + 1 = 6

x = 5

now solve for y since you have the value of x

y = -1 + x

or y = -1 + 5

y = 4

Answer:

y=3.166     x=4.166

Step-by-step explanation:

how to solve for pi and

Answers

Answer:

pi=3.14

Step-by-step explanation:

3.14

Answer:

You’ve studied and now you’re geared up for the ACT math section (whoo!). But are you ready to take on the most challenging math questions the ACT has to offer? Do you want to know exactly why these questions are so hard and how best to go about solving them? If you’ve got your heart set on that perfect score (or you’re just really curious to see what the most difficult questions will be), then this is the guide for you.

We’ve put together what we believe to be the most 21 most difficult questions the ACT has given to students in the past 10 years, with strategies and answer explanations for each. These are all real ACT math questions, so understanding and studying them is one of the best ways to improve your current ACT score and knock it out of the park on test day.

 

Brief Overview of the ACT Math Section

Like all topic sections on the ACT, the ACT math section is one complete section that you will take all at once. It will always be the second section on the test and you will have 60 minutes to completed 60 questions.

The ACT arranges its questions in order of ascending difficulty. As a general rule of thumb, questions 1-20 will be considered “easy,” questions 21-40 will be considered “medium-difficulty,” and questions 41-60 will be considered “difficult.”

The way the ACT classifies “easy” and “difficult” is by how long it takes the average student to solve a problem as well as the percentage of students who answer the question correctly. The faster and more accurately the average student solves a problem, the “easier” it is. The longer it takes to solve a problem and the fewer people who answer it correctly, the more “difficult” the problem.

(Note: we put the words “easy” and “difficult” in quotes for a reason—everyone has different areas of math strength and weakness, so not everyone will consider an “easy” question easy or a “difficult” question difficult. These categories are averaged across many students for a reason and not every student will fit into this exact mold.)

All that being said, with very few exceptions, the most difficult ACT math problems will be clustered in the far end of the test. Besides just their placement on the test, these questions share a few other commonalities. We'll take a look at example questions and how to solve them and at what these types of questions have in common, in just a moment.

 

But First: Should You Be Focusing on the Hardest Math Questions Right Now?

If you’re just getting started in your study prep, definitely stop and make some time to take a full practice test to gauge your current score level and percentile. The absolute best way to assess your current level is to simply take the ACT as if it were real, keeping strict timing and working straight through (we know—not the most thrilling way to spend four hours, but it will help tremendously in the long run). So print off one of the free ACT practice tests available online and then sit down to take it all at once.

Once you’ve got a good idea of your current level and percentile ranking, you can set milestones and goals for your ultimate ACT score. If you’re currently scoring in the 0-16 or 17-24 range, your best best is to first check out our guides on using the key math strategies of plugging in numbers and plugging in answers to help get your score up to where you want it to. Only once you've practiced and successfully improved your scores on questions 1-40 should you start in trying to tackle the most difficult math problems on the test.

If, however, you are already scoring a 25 or above and want to test your mettle for the real ACT, then definitely proceed to the rest of this guide. If you’re aiming for perfect (or close to), then you’ll need to know what the most difficult ACT math questions look like and how to solve them. And luckily, that’s exactly what we’re here for.

 

body_green_light

 

Ready, set...

 

21 Hardest ACT Math Questions

Now that you're positive that you should be trying out these difficult math questions, let’s get right to it! The answers to these questions are in a separate section below, so you can go through them all at once without getting spoiled.

#1:

body_ACT_0506_-_56

 

#2:

body_ACT_0506_-_59

 

#3:

body_ACT_0809_-_38_J

 

#4:

body_ACT_0809_-_54

 

#5:

body_ACT_0809_-_55-1

 

#6:

body_ACT_0809_-_56

 

#7:

body_ACT_0809_-_57-1

 

#8:

body_ACT_0809_-_60

 

#9:

body_ACT_1112_-__48-1

 

#10:

body_ACT_1112_-_45

 

#11:

body_ACT_1112_-_51-1

 

#12:

body_ACT_1112_-_52

 

#13:

body_ACT_1112_-_53

 

#14:

body_ACT_1112_-_58

 

#15:

body_ACT_1314_-_55-1

 

#16:

body_ACT_1314_-_59

 

#17:

body_ACT_1516_-_43

 

#18:

body_ACT_1516_-_44

 

#19:

body_ACT_1516_-_52

#20:

body_ACT_1516_-_57-1

 

#21:

body_ACT_1516_-_58-1

Step-by-step explanation:

Write in slope-intercept form an equation of the line that passes through the given points. (2, 4), (3, 6) y=

Answers

Answer:

m=6-4/3-2=2/1=2

y-4=2(x-2)

y-4=2X-4

y=2X

Guyss please help me with this question. I tried a thousand times but it's still incorrect.

Answers

Answer: [tex]17.68cm[/tex]

Step-by-step explanation:

Using the area formula of a cone, find the height first.

[tex]A=\pi r(r+\sqrt{h^2+r^2})[/tex]

Solve for h,

Begin by dividing by [tex]\pi r[/tex]

[tex]\frac{A}{\pi r}=r+\sqrt{h^2+r^2}[/tex]

Subtract r.

[tex]\frac{A}{\pi r}-r=\sqrt{h^2+r^2}[/tex]

Square both sides.

[tex](\frac{A}{\pi r}-r)^2=(\sqrt{h^2+r^2})^2[/tex]

[tex](\frac{A}{\pi r}-r)^2=h^2+r^2[/tex]

Subtract [tex]r^2[/tex]

[tex](\frac{A}{\pi r}-r)^2-r^2=h^2[/tex]

Extract the square root.

[tex]\sqrt{(\frac{A}{\pi r}-r)^2-r^2 } =\sqrt{h^2}[/tex]

[tex]\sqrt{(\frac{A}{\pi r}-r)^2-r^2 } =h[/tex]

Plug in your values.

[tex]\sqrt{[\frac{670cm^2}{(3.14)(8cm)}-(8cm)]^2-(8cm)^2 } =h[/tex]

Solve;

[tex]\sqrt{[\frac{670cm^2}{25.12cm}-(8cm)]^2-(8cm)^2 } =h[/tex]

[tex]\sqrt{[26.67cm-(8cm)]^2-(8cm)^2 } =h[/tex]

[tex]\sqrt{(18.67cm)^2-(8cm)^2 } =h[/tex]

[tex]\sqrt{348.57cm^2-64cm^2}=h[/tex]

[tex]\sqrt{284.57cm^2}=h[/tex]

[tex]15.77cm=h[/tex]

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

Now, to find the slant height use this formula: [tex]l=\sqrt{h^2+r^2}[/tex]

[tex]l=\sqrt{(15.77cm)^2+(8cm)^2}\\l=\sqrt{248.69cm^2+64cm^2}\\ l=\sqrt{312.69cm^2}\\ l=17.68cm[/tex]

A mirror should be centered on a wall the mirror is 4 feet wide in the wall is 20 Feet wide what equation helps determine the distance X on each side of the mirror

Answers

Answer:

A)x + 4 + x = 20

Step-by-step explanation:

Complete question:

Which equation helps determine the distance x on each side of the mirror?

A. x + 4 + x = 20

B. 4 + x + 4 = 20

C. x = 20 + 4 + 4

D. 4 = 20 + x + x

SOLUTION:

As given,The mirror is 4 feet wide and the wall is 20 feet wide.

The distance 'x' on each side of the mirror is x + x

4 feet wide + x + x = 20 feet wide

The mirror 4 feet wide + the distance x on each side of the mirror = the wall is 20 feet wide

Therefore, the correct option is A

You arrive in my class 45 seconds after leaving math which is 90 meters away. How fast did you travel?

Answers

Answer:

2 m/s=90 meters/45 seconds

Is 254.9 million bigger than 1854 million????

Answers

Answer:

No, it is smaller.

Step-by-step explanation:

yess it has a decimal so its gonna be greater as well

Divide -x^3-2x^2-2x+4 by x -3

Answers

Answer:

− x 2 − 5 x − 17 − 47 x − 3

Step-by-step explanation:

 Divide using polynomial division.

Polynomial :

An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.

Whitney is making a strawberry cake for her brother's birthday. The cake pan is a right rectangular prism cm20, wide by cm28, long. Whitney puts 1848 cm cubed of batter into the pan.

Answers

Answer:

3.3 cm

Step-by-step explanation:

Volume of a rectangular prism =Length X Width X Height

Volume of the cake batter [tex]=1848cm^3[/tex]

The cake pan is a right rectangular prism 20cm wide by 28cm long.

Therefore:

1848=20 X 28 X Depth

1848=560 X Depth

Depth=1848/560

Depth of the batter=3.3 cm

The batter is 3.3cm deep in the pan.

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Determine whether the distribution is a discrete probability distribution. x 0 100 200 300 400 Upper P (x )0 0 0 0 1 Is the distribution a discrete probability distribution? A. Yes comma because the sum of the probabilities is equal to 1. B. Yes comma because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive. C. No comma because the sum of the probabilties is not equal to 1. D. No comma because each probability is not between 0 and 1 comma inclusive. i will give you brainliest 1) Why do you soak beans before cooking? 2) What do you soak them in? 3) Describe the process often used to soak beans. Find the volume of a right circular cone that has a height of 12 cm and a base with a diameter of 18 cm. How does the setting in the excerpt support Beahs characterization? Can someone help with this Please help. Ive been here for hours and no one wants to help. Ill give brainliest answer :( The text states that ""Lincoln believed slavery was wrong."" How does his letter contradict that position? Why do you think he did not forcefully stand behind his belief? Fond the equation of the line shown President Jackson started a new practice of hiring people called the Correct answers only!To the nearest cent, how much will she have in 2 years?Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years. Minot Corporation is preparing its cash budget for August. The following information is available concerning its accounts receivable: Estimated credit sales for August $ 220,000 Actual credit sales for July $ 167,000 Estimated collections in August for credit sales in August 25 % Estimated collections in August for credit sales in July 70 % Estimated collections in August for credit sales prior to July $ 18,000 Estimated write-offs in August for uncollectible credit sales $ 8,000 Estimated provision for bad debts in August for credit sales in August $ 7,800 Required: What is the estimated amount of cash receipts from accounts receivable collections in August? the question is on the image An art teacher buys 9 bags of cotton balls there are 68 cotton balls in each bag whitch expression is best to estimate the number of cotton balls there teacher buys Consider the following polynomial.-2xys + 3x? - 10xy6 + 8x + 4Which of the following statements are true? Select all that apply.-The polynomial has 5 terms.-The leading coefficient is -2..-The degree of the polynomial is 7.-The constant term is 4.-The polynomial is in decreasing degree order. Selected information from Arbon Corporation's accounting records and financial statements for 2021 is as follows ($ in millions): Cash paid to acquire machinery $ 36 Reacquired Arbon common stock 50 Proceeds from sale of land 90 Gain from the sale of land 52 Investment revenue received 66 Cash paid to acquire office equipment 80 In its statement of cash flows, Arbon should report net cash outflows from investing activities of: Explain why matter takes space Four families are travelling. Order their speeds from least to greatest.Sapons80 km in 2 hSilvers180 km in 3 hJohns50 km in 1 hCunninghams35 km in 30 min(please help) g Birch Company normally produces and sells 48,000 units of RG-6 each month. The selling price is $26 per unit, variable costs are $17 per unit, fixed manufacturing overhead costs total $180,000 per month, and fixed selling costs total $40,000 per month. Employment-contract strikes in the companies that purchase the bulk of the RG-6 units have caused Birch Companys sales to temporarily drop to only 9,000 units per month. Birch Company estimates that the strikes will last for two months, after which time sales of RG-6 should return to normal. Due to the current low level of sales, Birch Company is thinking about closing down its own plant during the strike, which would reduce its fixed manufacturing overhead costs by $43,000 per month and its fixed selling costs by 11%. Start-up costs at the end of the shutdown period would total $13,000. Because Birch Company uses Lean Production methods, no inventories are on hand. Required: 1. What is the financial advantage (disadvantage) if Birch closes its own plant for two months? 2. Should Birch close the plant for two months? 3. At what level of unit sales for the two-month period would Birch Company be indifferent between closing the plant or keeping it open? A boy of 65 kg is skating around a circle with radius 3.8meters. If he is moving at 4.25 m/s, what is his angularmomentum? (Round to the nearest hundredth).A 1049.75 NmsB 27.63 NmsC 276.25 NmsD 10.50 NmsE 104.98 Nms In a Shakespearean Drama, an allusionan act of deception or a false perception of reality.