A ladder (line segment AC in the diagram) is leaning against a wall. The distance between the foot of the ladder and the wall (BC) is 7 meters less than the distance between the top of the ladder and the ground (AB). A-Create an equation that models the length of the ladder (l) in terms of x, which is the length in meters of AB. B-If the length of the ladder is 13 meters, use the equation you wrote to find the distance between the ground and the top of the ladder (AB).

Answers

Answer 1

Greetings from Brasil...

a)

Let's just use Pythagoras

L² = X² + (X - 7)²

L = √(2X² - 14X + 49)

b)

If L = 13, then what is the value of X ???

L² = 2X² - 14X + 49

2X² - 14X - 120 = 0

X = 12  or  X = - 5

(The distance cannot be negative, so X = 12)

A Ladder (line Segment AC In The Diagram) Is Leaning Against A Wall. The Distance Between The Foot Of

Related Questions

Determine the value of x. 30° 45° 20° 60°

Answers

Answer:

x=30

Step-by-step explanation:

x+2x+3x=180

6x=180

x=180/6=30

Jorge finds that 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music. How many more of Jorge's relatives,as compared to his classmates, like salsa music?

Answers

Answer:

6 more

Step-by-step explanation:

Find 56% of 75 first

75/x=100/56

(75/x)*x=(100/56)*x      

75=1.78571428571*x      

(1.78571428571) to get x

75/1.78571428571=x

42=x

x=42

Then Find 80% of 60

60/x=100/80

(60/x)*x=(100/80)*x    

60=1.25*x      

60/1.25=x

48=x

x=48

Subtract 48 by 42

=6

+
If the
sides of a triangles are
6, 8 and n. how
many integer values of n
could be the
measure of the
third side of the triangle?

Answers

Answer:

11

Step-by-step explanation:

The sum of the shortest two sides must be greater than the longest side.

If n is the longest side:

6 + 8 > n

14 > n

If 8 is the longest side:

6 + n > 8

n > 2

So n must be an integer greater than 2 and less than 14.

n can be 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, or 13.

There are 11 possible integers.

[tex] \LARGE{ \boxed{ \rm{ \purple{Answer}}}}[/tex]

We know,

Sum of two sides of a triangle > Third side

Then,

⇛ 6 + 8 > n

⇛ 14 > n

Nextly,

Difference of two sides of a triangle < Third side

Then,

⇛ 8 - 6 < n

⇛ 2 < n

Then, Range of third side:

☃️ 2 < n < 14

Possible measures of 3rd sides = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 or 13.

There are 11 possible values of 3rd side. Out of them, any measure is the length of 3rd side.

━━━━━━━━━━━━━━━━━━━━

Flying against the wind, a jet travels 1650 miles in 3 hours. Flying with the wind, the same jet travels 3480 miles in 4 hours. What is the rate of the jet in still air and what is the rate of the wind?

Answers

Step-by-step explanation:

Let the rate of the plane be x

The rate of the wind be y

Against the wind

Resultant velocity = x-y

1650/3 = x - y

550 = x - y

With the wind

Resultant velocity = x + y

3480/4 = x + y

870 = x + y

Solve equation simultaneously

Add both equations

870+550 = x+y+x-y

1420 = 2x

x = 710

x + y = 870

y=870 - 710

y = 160

The rate of jet in still air = 710 mph

The rate of wind = 160 mph

HOPE IT HELPS!

PRETTY PLEASE MARK ME BRAINLIEST :-)

nine hundred fifty-three thousand nine hundred two

Answers

Answer:

953 902

Step-by-step explanation:

Answer:

953,902

Step-by-step explanation:

nine hundred =900

fifty-three=53

thousand=1000

nine hundred=900

two=2

Camila llama a cuatro compañeras y les informa sobre una campaña de recoleccion de alimentos. Cada una de estas amigas llama a otras cuatro amigas para contarles sobre la campaña, y luego estas llaman a 4 nuevas amigas.¿cuantas amigas se enteran de este llamado?

Answers

Answer:

El total de amigos que se enteran del es 84 amigos.

Step-by-step explanation:

Camila llama a cuatro acompañantes y les informa sobre una colecta de alimentos. Cada uno de estos amigos llama a otros cuatro amigos para contarles sobre la campaña, y luego llaman a 4 nuevos amigos. ¿Cuántos amigos se enteran de esta llamada?

El número de compañeros que llamó Camila = 4 amigos

Cada uno de los cuatro amigos llamó a otros cuatro amigos para hacer = 4 × 4 = 16 amigos

Cada uno de los dieciséis amigos llamó a otros cuatro amigos para hacer = 16 × 4 = 64 amigos

Por lo tanto, el número total de amigos que se enteran de la llamada para dar información sobre una colecta de alimentos = 4 + 16 + 64 = 84 amigos.

68) Volume of a Bucket: Determine the volume of a cylindrical bucket in cubic inches if the bucket's radius is 5 in.
and the height is 12 in. The formula for the volume of a cylinder is V = yrah. Use the Te key on your calculator.

Answers

Answer:

V = 300[tex]\pi[/tex] in³ or 942.48 in³

Step-by-step explanation:

Use the cylinder volume formula, V = [tex]\pi[/tex]r²h, where r is the radius and h is the height.

Plug in the values and solve:

V = [tex]\pi[/tex](5²)(12)

V = 300[tex]\pi[/tex] in³ or 942.48 in³

Find the measure of a.

Answers

Answer:

50 degrees

Step-by-step explanation:

We know that an inscribed angle in a circle is 1/2 the arc that it inscribes. So, therefore the arc is inscribed by the 25 degrees is 50. Assuming that the center of the circle is O, the center angle will be the arc measure. Knowing this, angle a is 50 degrees. If you're curious about all these theorems, they can be proved using similar triangles.

fyi, using the same logic, angle b is 25 degrees

What is the value of z for the equation fraction 1 over 2z = −fraction 3 over 4 + fraction 1 over 4z? −3 −1 1 3

Answers

Answer:

z= -3

Step-by-step explanation:

Given:

1/2z =-3/4 + 1/4z

Collect like terms

1/2z - 1/4z = -3/4

Add 1/2z - 1/4z

2z-z / 4 = -3/4

We have

z/4=-3/4

Same as

z(1/4) = -3/4

Divide both sides by 1/4

z(1/4) ÷ 1/4 = -3/4÷1/4

z(1/4) × 4/1= -3/4 × 4/1

z(4/4) = -12/4

z= -3

The value of z= -3

Answer:

-3

Step-by-step explanation:

I got it right on the test

A bag contains white,blue and red balls ratio8:3:2 and there are 10 red balls,if 10 white balls and 10 blue balls are removed from the bag.Find the new ratio of the balls.

Answers

Answer:

New ratio ( white,blue and red) = 6:1:2

Step-by-step explanation:

Given:

Old ratio ( white,blue and red) = 8:3:2

Number of red balls = 10

Removed balls = 10 white , 10 blue

Find:

New ratio ( white,blue and red)

Computation:

Assume total number of balls = x

So,

Number of total balls = 2x / 13 = 10

Number of total balls = 65

Number of white balls = 40

Number of blue balls = 15

So,

Number of new white balls = 40 - 10 = 30

Number of new blue balls = 15 - 10 = 5

New ratio ( white,blue and red) = 30 : 5 : 10

New ratio ( white,blue and red) = 6:1:2

The new ratio of the white, blue, and red balls is 6:1:2.

Given to usA bag contains white,blue, and red balls ratio8:3:2 and there are 10 red balls,if 10 white balls and 10 blue balls are removed from the bagPart 1

The balls in the bag are in the ratio 8:3:2, therefore, the balls in the bags are,

white balls = 8x

blue balls = 3x

red balls = 2x =10,

Solving for red balls,

[tex]2x = 10\\x =\dfrac{10}{2}\\x = 5[/tex]

Now, substituting the value of x to know the numbers of balls are,

white balls = 8x

                  [tex]= 8 \times 5\\=40[/tex]

blue balls = 3x

                [tex]= 3\times 5\\=15[/tex]

Part 2

After removing, 10 white balls and 10 blue balls from the bag,

red balls = 10 balls

white balls = 40 balls - 10 balls = 30 balls

blue balls = 15 balls - 10 balls = 5 balls

Dividing all the number of balls by 5,

red balls = 10 balls

[tex]\dfrac{10\ balls}{5} = 2[/tex]

white balls = 30 balls

[tex]\dfrac{30\ balls}{5} = 6[/tex]

blue balls = 5 balls

[tex]\dfrac{5\ balls}{5} = 1[/tex]

Hence, the new ratio of the white, blue, and red balls is 6:1:2.

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Find the vertex of the parabola.
f (x) = x squared minus 6 x + 13
a.
( 4, 0)
c.
( 3, 4)
b.
(0, 3)
d.
( 4, 3)

Answers

Answer:

The vertex is (3,4)

Step-by-step explanation:

f (x) = x^2 - 6 x + 13

Completing the square

-6/2 = -3 and squaring it = 9

    = x^2 -6x +9 +4

   = ( x-3) ^2 +4

The equation is now in vertex form

a( x-h) ^2 +k

where the vertex is ( h,k)

The vertex is (3,4)

Answer:

C on edge

Step-by-step explanation:

how do you use determinants to determine whether a quadratic equation has rational or irrational roots

Answers

Answer:

Find an integer k for which the roots of the equation will be rational and unequal. To find a value of k that makes the roots rational and unequal the discriminant must be greater than 0 and a perfect square.

Step-by-step explanation:

So if k=0 or k=5 the roots will be rational and unequal.  hope this helps you :)

You work for a small business that sells bicycles, tricycles, and tandem bikes Bicycles have one sear, two pedals, and two wheels. Tricycles have one seat, two pedals, and three wheels. Tandem bikes have two seats, four pedals, and two wheels. 1. On Monday you counted 50 tricycle wheels. How many tricycles were in the shop? Write an algebraic equation that shows the relationship between the number of wheels (w) and the number of tricycles (t). 2. On Wednesday there were no tandem bikes in the shop. There were only bicycles, and tricycles. There are a total of 24 seats and 61 wheels in the shop. How many bicycles and how many tricycles are in the shop. Show how you figured it out using algebra. 3. A month later, there are a different number of bicycles, tricycles tandem bikes in the shop. There are a total of 144 front steering handlebars, 378 pedals and 320 wheels. How many bicycles, tricycles, and tandem bikes are in the show? Explain your solution.

Answers

Answer:

Step-by-step explanation:

1- on Monday the number of tricycles: 51/3=17 or 48/3=16 ( can't be 50)

2-the algebraic equation is : t=w/3 ( t=tricycle, w: wheels)

3-On Wednesday: (b for bicycle and t=tricycle)

 2b+3t=61

b+t=24 ⇒ b=24-t

solve by substitution:

2(24-t)+3t=61

48-2t+3t=61

t=61-48 ⇒ t=11

solve for b=24-t

b=24-11=13

t=11, b=13

4)t: tricycles, b for bicycles, n for tandem

t+b+n=144 ( each has one handlebar)⇒ t=144-b-n

2t+2b+4n ( for the pedales)

3t+2b+2n=320 ( for wheels)

solve by matrix or substitution: substitute t in the equations:

2t+2b+4n =378

3t+2b+2n=320

2(144-b-n)+2b+4n=378 ⇒ 288-2b-2n+2b+4n=378

3(144-b-n)+2b+2n=320 ⇒432-3b-3n+2b+2n=320

                                                                                           

288-2b-2n+2b+4n=378

432-3b-3n+2b+2n=320

2n=378-288 ⇒ n=90/2=45

-b-n=320-432

-b-45=-112

-b=-112+45 ⇒ b=67

t=144-45-67= 32

b=67 , tricycle=  32  tandom= 45( answers in bold )

A gardener has 1300 saplings. He wants to plant these in such a way that the number of columns and the number of rows remain same. Find the least number of more saplings he needs for this.

Answers

Answer:

69

Step-by-step explanation:

Square root of 1300= 36

(37)²>1300>(36)²

Therefore , the requirement no. to be added to get a perfect square

=(37)²=1369

= 1369- 1300=69

The least no. Of sapling he needs for this = 69

standard form of 6,32,94,000

Answers

Answer:

6.3294✖️10^7

Step-by-step explanation:

To find the statdard form, you place the decimal after the largest unit, int his case 6.

Then you write down all the numbers except for "0".

This becomes:

6.3294

Then, you add the multiplying sign, and count how many digits are there after 6, and in this case, there are 7, so you add the power "7" after 10.

6.3294✖️10^7

Hope this helped!

Have a nice day:)

Simplify 16k/7k a) k+23 b) 9k c) 23k d) 23k^2

Answers

Answer:

16/7

Step-by-step explanation:

16k / 7k

Divide the numbers

16/7  

Divide the variables

k/k = 1

16/7

Let f(x) = x2 − 8x + 5. Find f(−1)

Answers

Answer:

14

Step-by-step explanation:

[tex]f(x)=x^2-8x+5[/tex]

now substitute x for -1

[tex]f(-1)=(-1)^2-8(-1)+5[/tex]

now solve

[tex]f(-1)=1+8+5[/tex]

[tex]f(-1)=14[/tex]

there is your answer! hope this helps! :)

Answer: 14

Explanation:

f(-1) = (-1)^2 - 8(-1) + 5
f(-1) = 1 + 8 + 5
f(-1) = 14

Teenagers tend to ride skateboards and bicycles is order to get around the town.the probability of a teenager owning a skateboard is 0.37, of owning a bicycle is 0.81 and of owning both is 0.36. If a teenager is chosen at random, the probability that the teenager owns a skateboard or a bicycle is

Answers

Answer:  0.82

Step-by-step explanation:

Given : P(own skateboard) =0.37

P( own bicycle) =0.81

P(own skateboard and bicycle) = 0.36

Since, P(A or B) =P(A)+P(B)-P(A and B)

So, P(own skateboard or  bicycle) = P(own skateboard) + P( own bicycle)-P(own skateboard and bicycle)

= 0.37 + 0.81 -  0.36

= 0.82

Hence, the probability that the teenager owns a skateboard or a bicycle is  0.82.

What is the slope of the line that passes through the points (−3,−3) and (−5,−2)? Write your answer in simplest form.

Answers

Answer:

[tex]\frac{1}{-2}[/tex]

Step-by-step explanation:

To do this you would do a formula that is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]  so you would plug in the coordinates so you get [tex]\frac{-2-(-3)}{-5-(-3)}[/tex] which simplifies to [tex]\frac{1}{-2}[/tex] so the slope would be [tex]\frac{1}{-2}[/tex]

A train covered a certain distance at a uniform speed. If the train would have been 6km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey.

Answers

Answer:Let x km/hr be the speed of train

Let y be the time taken by the train

Distance = speed x time

= x y

To form the first equation let us consider the given information from the question that is If the train had been 6 km/hr faster,it would have taken 4 hours less than the scheduled time.

it clearly says that speed is increased by 6 and time is reduced by 4

So , (x + 6) (y - 4) = x y

x y - 4 x + 6 y - 24 = x y

x y - x y - 4 x + 6 y = 24

- 4 x + 6 y = 24

divided by (-2) => 2 x - 3 y = -12 ----- (1)

To form the second equation let us consider the given information from the question that is If the train were slower by 6km/hr, then it would have taken 6 hours more than the scheduled time.

it clearly says that speed is reduced by 6 and time is increased by 6

So , (x - 6) (y + 6) = x y

x y + 6 x - 6 y - 36 = x y

x y - x y + 6 x - 6 y = 36

6 x - 6 y = 36

divided by (6) => x - y = 6 ----- (2)

2 x - 3 y = -12

(2) x 2 => 2 x - 2 y = 12

(-) (+) (-)

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

- y = -24

y = 24

Now we have to apply the value of y in the first equation to get value of x

Substitute y = 24 in the first equation we get

2 x - 3 (24) = -12

2 x - 72 = -12

2 x = -12 + 72

2 x = 60

x = 60/2

x = 30

Speed of the train = 30 km/hr

Time taken by the train = 24 hours

Distance covered by the train = x y = 30 x 24 = 720 km

Verification:

2 x – 3 y = -12

2(30) - 3(24) = -12

60 - 72 = -12

-12 = -12

Identify the domain of the function shown in the graph.

A. x is all numbers.
B. X20
O C. 0 D. x<0

Answers

Answer:

[tex]\boxed{ x \geq 0}[/tex]

Step-by-step explanation:

Hey there!

Well we can cross out A. x is all real numbers because,

it’s not it only has all the positive numbers.

B. Is correct because the domain is every number greater than or equal to 0.

x ≥ 0

Hope this helps :)

The domain of the graph of a function is x ∈ [0, ∞) or x ≥ 0 option (B) x ≥ 0 is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

A function is shown in the graph which is plotted on the two-dimensional coordinate plane.

From the graph, we can see the graph of a function exists in the first quadrant only and it is increasing.

The interval in which the graph exists is [0, ∞)

or

The domain of a graph of a function is:

x ≥ 0

Thus, the domain of the graph of a function is x ∈ [0, ∞) or x ≥ 0 option (B) x ≥ 0 is correct.

Learn more about the function here:

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The physician orders 1500 flu injections. There were 300 shots given in September, 450 shots given in October, and 665 shots given in November. A. What percentage of flu vaccine has been given

Answers

Answer:

50%

Step-by-step explanation:

You take the 1500 shots and take away the 300 and 450 you get 750 you divide 750 from 1500 then you get 0.5 and you multiply it with 100 and you get the answer 50.

Out of 1500 flu injections the share of flu vaccines which has been given is 94.33%.

What is percentage?

A percentage is that the number or ratio expressed as a fraction of 100. it's denoted by the expression %. it's calculated by the subsequent formula:

Percentage=Number/total*100

How to calculate percentage?

It is provided that out of 1500 flu vaccines , 300 got in September, 450 got in October and 665 got in November.

Total vaccines given= 300+450+665

=1415

Percentage=1415/1500*100

=0.9433*100

=94.33%

Hence the proportion of flue vaccine that has been given is 94.33%.

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Howard is designing a chair swing ride. The swing ropes are 5 meters long, and in full swing they tilt in an angle of 29 degrees. Howard wants the chairs to be 2.75 meters above the ground in full swing. How tall should the pole of the swing ride be?

Answers

Answer:

Step-by-step explanation:7.12 meters tall

MATH QUESTION : As punishment for bad behavior during recess, Mrs. Busywork asked her class to multiply 10 by 1/3 five times. John, however, notices that it is possible to multiply 10 by a single fraction and still get the same answer as the other students. What is this single fraction?

Answers

Answer:

5/3

Step-by-step explanation:

5×(10×1/3)

=10×5/3

=since 5×(10×1/3) gives 50/3 so thus 10×5/3.

The fraction is therefore 5/3

Why is 9.6 a rational number

Answers

Answer: see explanation below

Step-by-step explanation:

A rational number terminates.

9.6 terminates at six-tenths.

Need help in the b question... Pls send it fast.. urgent and if possible do it in paper and send or just type it.. need answer for question 1. B

Answers

Answer:

2.09 or 2 and 9/100

Step-by-step explanation:

2 1/2 - 41/100 =

5/2 - 41/100=

250/100 - 41/100=

209/100=

2  and  9/100 Or 2.09

I hope this helped you.

Find from the first principle the derivative of 4x² -2with respect to x. Brailiest will be given please hurry​

Answers

Answer:

8x

Step-by-step explanation:

Using differentiation from first principles

f'(x) = [tex]lim_{h>0}[/tex]  [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = [tex]lim_{h>0}[/tex] [tex]\frac{4(x+h)^2-2-(4x^2-2)}{h}[/tex]

      = [tex]lim_{h>0}[/tex]  [tex]\frac{4x^2+8hx+4h^2-4x^2+2}{h}[/tex]

      = [tex]lim_{h>0}[/tex] [tex]\frac{8hx+4h^2}{h}[/tex]

      = [tex]lim_{h>0}[/tex] [tex]\frac{4h(2x+h)}{h}[/tex] ← cancel the h on numerator/denominator

      = 4(2x)

      = 8x

Answer:

8x

Step-by-step explanation:

Pls I hope this helps

Please answer this question now

Answers

Answer:

Approximately 439.6 square millimeters.

Step-by-step explanation:

The formula for the surface area of a cone is the following:

[tex]A=\pi r^2+\pi r l[/tex]

Where, r is the radius and l is the slant height.

The radius is 7 and the slant height is 13. We also use 3.14 for π Thus:

[tex]A=(3.14)(7)^2+(3.14)(7)(13)\\\text{Use a Calculator}\\A\approx 439.6[/tex]

Answer:

292.77

Step-by-step explanation:

πr(r+[tex]\sqrt{h2+r2}[/tex])

13 x 2 = 26

7 x 2 = 14

26 + 14 = 40

[tex]\sqrt{40}[/tex] = 6.32

7 + 6.32 = 13.32

3.14 x 7 = 21.98

21.98 x 13.32 =

292.77


In a bag of M&MS there are 4 green, 6 yellow and 8 blue candies. What is the probability of drawing a blue then a green if you replace the candy after the draw?

Answers

Answer:

8/81

Step-by-step explanation:

8/18 x 4/18 = 32/324 = 8/81

The probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

It is given that in a bag of M&MS there are 4 green, 6 yellow, and 8 blue candies.

The probability for blue = 8/18

The probability for green = 4/18

The probabilities of drawing a blue then green if you replace the candy after the draw will be calculated as below:-

Probability = 8/18 x 4/18

Probability = 32/324

Divide the number 32 by 324 to get the probability.

Probability = 8/81

Therefore, the probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.

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Se repartió una suma de dinero entre tres personas; la segunda recibió x pesos mas que la primera, la tercera b pesos más que la segunda. Expresa la suma repartida, siendo t la parte de la primera.

Answers

Answer:

3t + 2x + b

Step-by-step explanation:

primera: t

segunda: t + x

tercera: t + x + b

suma: t + t + x + t + x + b = 3t + 2x + b

Other Questions
All human blood can be "ABO-typed" as O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Here are the distributions of blood types for a randomly chosen person in China and in the United States:The probability O A B ABChinese 0.35 0.27 0.26 0.12American 0.45 0.4 0.11 0.04Suppose we randomly select an American and a Chinese, independently of each other, apply multiplication and addition probability rules, compute:a. Pr(They both have type O)b. Pr( they both have the same blood type)c. Pr( at least one person has type O) Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28 An individual's personality: 1 point A. changes several times throughout the year. B. is formed only from childhood socialization and the environment. C. is less evident in situations where social norms, reward systems, and other conditions constrain behavior. D. does not provide an enduring pattern of processes. E. is more prominent when rewards for behavior are substantial. Which hormone released by the highlighted structure stimulates the release of TSH from the anterior pituitary (adenohypophysis)? Which hormone released by the highlighted structure stimulates the release of TSH from the anterior pituitary (adenohypophysis)? TRH CRH GHIH GHRH How did trade routes influence the renassainces beginning in italy? Problem 24-01 Liquidation Southwestern Wear Inc. has the following balance sheet: Current assets $1,875,000 Accounts payable $375,000 Fixed assets 1,875,000 Notes payable 750,000 Subordinated debentures 750,000 Total debt $1,875,000 Common equity 1,875,000 Total assets $3,750,000 Total liabilities and equity $3,750,000 The trustee's costs total $276,250, and the firm has no accrued taxes or wages. Southwestern has no unfunded pension liabilities. The debentures are subordinated only to the notes payable. If the firm goes bankrupt and liquidates, how much will each class of investors receive if a total of $4 million is received from sale of the assets? Distribution of proceeds on liquidation: 1. Proceeds from sale of assets $ 2. First mortgage, paid from sale of assets $ 3. Fees and expenses of administration of bankruptcy $ 4. Wages due workers earned within 3 months prior to filing of bankruptcy petition $ 5. Taxes $ 6. Unfunded pension liabilities $ 7. Available to general creditors $ Distribution to general creditors: Claims of General Creditors Claim (1) Application of 100% Distribution (2) After Subordination Adjustment (3) Percentage of Original Claims Received (4) Notes payable $ $ $ % Accounts payable $ $ $ % Subordinated debentures $ $ $ % Total $ $ $ The remaining $ will go to the common stockholders. What law was declared constitutional by the Supreme Court in McCulloch v. Maryland? a Judiciary Act of 1789b Second Bank of the United Statesb Act Virginia War Debt Confiscation Act d New York Steamboat Monopoly Act "Net income for the period was $200,000. The retained earnings account had a beginning balance of $25,000. If the company paid dividends of $20,000 during the year, what is the ending balance in retained earnings?" Use addition to solve the linear system of equations. 2x + y = 5 3x + 2y = 4 (6,7) (-6,-7) (6,-7) (-7,6) An assembly line with 17 tasks is to be balanced. The longest task is 2.4 minutes, and the total time for all tasks is 18 minutes. The line will operate for 450 minutes per day.Required:a. What are the minimum and maximum cycle times? b. What range of daily output is theoretically possible for the line? c. What is the minimum number of workstations needed if the maximum output rate is to be sought?d. What cycle time will provide an output rate of 125 units per day? I need some help with this please :) need halp 12x84 - -7000 describe the direction of dna replication and why that is important Who was robert clive A health insurer has determined that the "reasonable and customary" fee for a certain medical procedure is $1200. They suspect that the average fee charged by one particular clinic for this procedure is higher than $1200.Explain in context the conclusion of the test if H0 is rejected. A 5.2 cm diameter circular loop of wire is in a 1.35 T magnetic field. The loop is removed from the field in 0.29 sec. Assume that the loop is perpendicular to the magnetic field. What is the average induced emf? Self-presentation, also called____________, refers to the processes by which people monitor and control how they are perceived by other people. A firm issues $300 million in straight bonds at an original issue discount of 0.50% and a coupon rate of 7%. The firm pays fees of 2.0% on the face value of the bonds. The net amount of funds that the debt issue will provide for the firm is closest to which of the following? A)$248,625,000 B)$263,250,000 C)$277,875,000 D)$292,500,000 Which feature is not the result of a glacier carving out rock as it moves?A. CirqueB. Terminal moraineC. FjordD. Horn peak what do actors of a fiction stories teach readers?