An airplane flies from point A to point B. Point A is 40 kilometers from a ground signal at point C. Point
B is 56 kilometers from the same ground signal. If AB = 80 kilometers, find the measure of ACB to
the nearest degree.

Answers

Answer 1

Answer:

  112°

Step-by-step explanation:

The law of cosines can be used to find angle C from the three side lengths. The usual formulation of that law is ...

  c^2 = a^2 + b^2 -2ab·cos(C)

Then the angle C can be found to be ...

  C = arccos((a^2 +b^2 -c^2)/(2ab))

For the given side lengths,

  C = arccos((40^2 +56^2 -80^2)/(2·40·56)) = arccos(-1664/4480)

  C ≈ 112°

An Airplane Flies From Point A To Point B. Point A Is 40 Kilometers From A Ground Signal At Point C.

Related Questions

What is 7.123 rounded to the nearest whole number?

Answers

7 because 1 is not 5 or higher
The whole number would just be 7. The rule is if the decimal is 1-4 round down and 5-9 round up. Hope this helps! :)

A line that is parallel to y - x = 8 would have a slope of:

Answers

Answer:

1

Step-by-step explanation:

Rearrange  y-x=8 to y=x+8

parallel lines have the same slope

so lines slope is 1

The slope answer is ..... 1

Translate this phrase into an algebraic expression:
500 increased by twice Matt's savings

Use the variable m to represent Matt's savings.

Answers

Answer:

  500 +2m

Step-by-step explanation:

  500 "increased by" "twice Matt's savings"

translates to ...

  500            +                     2m

__

Your algebraic expression is ...

  500 +2m

Answer:

500 + 2m

Step-by-step explanation:

m represents Matt's savings. So 2m is twice that.

500 increased  by that means add them, so you get 500 + 2m

SIMPLIFY THE EXPRESSION: 2(4+5v)

PLS HELPPPPP ILL GIVE U BRAINLIEST

Answers

Answer:

8+10v

Step-by-step explanation:

Answer:

8+10v

Step-by-step explanation:

Please help solve this

Answers

Answer:

0.125

Step-by-step explanation:

Answer:

x = 1/8

Step-by-step explanation:

The first step is to make all of the denominators in the fractions the same. To do so, find what number multiplies by 4 to get to 8. This number is 2. Then, multiply that number to the numerator of the fraction you're going to change.

3/4 becomes 6/8.

The equation becomes 6/8 + x = 7/8.

Now, pay attention to the numerators. What number adds to 6 to get to 7? The answer is 1. Remember, the denominators must be the same, so the final answer is x = 1/8.

Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in the work week. She set
a goal for herself to knit at least 15 scarves and at the most 21 scarves this week Eve wants to know how many scarves she
should knit each day to meet her goal
Which inequality represents the given situation?

Answers

Final answer:

Eve should knit between 3 and 6 scarves each day for the remaining 2 days to meet her goal of knitting at least 15 and at most 21 scarves for the week. The inequality that represents this situation is 3 \<= x \<= 6.

Explanation:

Eve has knitted 9 scarves and wants to knit at least 15 and at most 21 scarves for the week. With 2 days of the workweek left, we need to find out how many scarves she should knit each day to meet her goal. Let's denote x as the number of scarves Eve knits each day for the next two days.

Since Eve has already knitted 9 scarves and wants to knit at least 15, the minimum number of additional scarves she needs to knit is 15 - 9 = 6. So, in 2 days, she must knit at least 6 scarves. This gives us the inequality 2x ≥ 6.

Similarly, the maximum number of scarves Eve aims to knit is 21. Therefore, the maximum number of additional scarves she can knit is 21 - 9 = 12. This leads us to the inequality 2x ≤ 12.

Combining both inequalities, we get 3 ≤ x ≤ 6, which tells us that Eve needs to knit between 3 and 6 scarves each day to meet her goal.

Find the unit rate.
18 books in 3 boxes = (
books per box

Answers

Answer:

Step-by-step explanation:15 books in 3 boxes =

books per box

Final answer:

The unit rate of 18 books in 3 boxes is 6 books per box, which is obtained by dividing the total number of books by the total number of boxes.

Explanation:

To find the unit rate of books per box when you have 18 books in 3 boxes, you need to divide the total number of books by the total number of boxes. This is a simple division problem:

Write down the number of books and the number of boxes: 18 books, 3 boxes.Divide the number of books by the number of boxes: 18 \/ 3 = 6 books per box.

So, the unit rate is 6 books per box.

Hola cockeroaches, answer this again

Answers

Answer:

5- 48

6- 1.5

7-324

Step-by-step explanation: You have to plug in the numbers for the variables

a times c = 12 times 4 =48

1/2 times B= 1/2 times 3= 3/2 = 1/5

A times b times d = 12 times 3 times 9 = 324

bonnie runs 1 2/3 times as far as john each day if bonnie runs 5 miles on monday 3 1/2 miles on tuesday and 5 3/4 miles on wednesday how many miles did john run in all those three days

Answers

Answer:

3 miles on Monday

2¹/₁₀ miles on Tuesday

3⁹/₂₀ miles on Wednesday

Step-by-step explanation:

We are told that Bonnie runs 1⅔ (⁵/₃) times as far as John each day

This means that John runs ³/₅ times as far as Bonnie.

MONDAY:

Bonnie runs 5 miles on Monday, therefore, John runs:

³/₅ * 5 = 3 miles

TUESDAY:

Bonnie runs 3½ (⁷/₂) miles on Tuesday, therefore, John runs:

³/₅ * ⁷/₂ = ²¹/₁₀ = 2¹/₁₀ miles

WEDNESDAY:

Bonnie runs 5³/₄ (²³/₄) miles on Wednesday, therefore, John runs:

³/₅ * ²³/₄ = ⁶⁹/₂₀ = 3⁹/₂₀ miles

Consider this equation:
-2x - 4 + 5x = 8
Generate a plan to solve for the variable. Describe the
steps that will be used.
Combine like terms

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

Solve for the (number or thing that changes), so you need to (separate far from others)/get x by itself

-2x - 4 + 5x = 8 First I want to combine like terms (-2x and 5x)

-4 + 3x = 8 (Add 4 on both sides)

3x = 12 Then divide 3 into both sides to get x by itself

x = 4

Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4. Apply the addition property of (a state where all things are equal), Apply the division property of (a state where all things are equal) to divide both sides by 3, Finally, check the solution by substituting 4 into the original equation.

*PLEASE MAKE TEXT INTO OWN WORDS IF POSSIBLE

What is the volume of the regular pyramid?
A. 291 cm^3
B. 336 cm^3
C. 168 cm^3
D. 392 cm^3

Answers

Answer:

Option (B) 336 cm³

Step-by-step explanation:

Height of the Regular Pyramid = 14 cm

Base area of the Regular Pyramid = 1/2 * Side²

Area of the Regular Pyramid = 1/3 * Base area * Height

                                                 = 1/3 * 14 * (1/2 * Side²)

                                                 = 1/3 * 14 * (1/2 * 12²)

                                                 = 1/3 * 14 * (1/2 * 144)

                                                 = 1/3 * 14 * 72

                                                 = 24 * 14

                                                 = 336 cm³

So, Option (B) 336 cm³ is the correct Option.

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Steven ran for class president against Mandy. Steven Recieved 5 votes for every 3 votes that Mandy Recieved. Mandy Recieved 420 votes if all students voted only once how many students voted in the election

Answers

Answer:

700

Step-by-step explanation:

420×5=2100

2100÷3=700

Answer: 700

How do the slopes of the lines created by each table compare?

Answers

Answer:

The Correct Answer is B

Step-by-step explanation:

Answer:

The correct answer is B. The slope of the Wholesale table is Three-fourths of the slope of the Public table.

Step-by-step explanation:

5) Jane likes to exercise daily. The table on the Google Doc shows the number of
calories y she burns by exercising steadily for x minutes. How many calories
would she burn by exercising for 29 minutes? *

Answers

Answer:

29xy

Step-by-step explanation:

Answer:

319

Step-by-step explanation:

just because work I don't wanna type

A submarine is descending at a rate of 7 feet per second.
The two variables are:
f = the number of feet the sub descends
s = the number of seconds
The independent variable, [Blank 1 ]
causes a change in
the dependent variable [Blank2].
Opionts for BLANK1
A) The number of secounds.
B) The number of feet the sub descends.
C)The rate the sub descends.
D)The color of the sub.

Options for BLANK2
A)The number of secounds
B) The number of feet the sub descends.
C)The rate the sub descends
D)The color of the sub.
(Help!)​

Answers

The independent variable is; A: The number of secounds.

The dependent variable is; B) The number of feet the sub descends.

What is the independent and dependent variable?

A dependent variable depends on another variable in a given data while an independent variable does not depend on any other variable.

We are told that the submarine is descending at a rate of 7 ft/s. Now, this means that for every second, he descends at a rate of 7ft. Thus, the more the number of seconds, the more the distance covered.

Thus, the number of feet depends on the time taken in seconds and such the independent variable is the the number of seconds while the dependent variable is the number of feet the sub descends.

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Answer:

Step-by-step explanation:

The equation (x+h)(x+5)=0 has solutions of -5 and 6. What is the value of h.

Answers

Answer:

h = -6

Step-by-step explanation:

To solve this problem, plug in the values of either -5 or 6 into the equation for x. Then, simplify. Let's begin by plugging 6 in.

(6 + h)(6 + 5) = 0

I like to use the acronym FOIL for problems like these: first, outside, inside, last.

To start, multiply the first terms, 6 and 6. The answer is 36.

Next, multiply the outside terms, 6 and 5. The answer is 30.

Then, multiply the inside terms, h and 6. The answer is 6h.

Finally, multiply the last terms, h and 5. The answer is 5h.

Add all the products together.

36 + 30 + 6h + 5h = 11h + 66

The equation becomes 11h + 66 = 0.

Now, subtract 66 from both sides to isolate h.

11h = -66

Then, divide both sides by 11 to further isolate h.

h = -6

You have your final answer, h = -6.

Find the volume of the cylinder the radius is 4ft and the height is 6 ft

Answers

Answer:

about 301.59

Step-by-step explanation:

You use the volume formula and just plug in the numbers! Hope that was helpful :)

An airplane pilot jumps out of an airplane and has an initial velocity of 32 feet per second downwards. How long does it take to fall from 1000 feet to 760 feet before the parachute opens?

Answers

Answer:

3 seconds

Step-by-step explanation:

Downwards positive

a = 32

s = 1000 - 760 = 240

s = ut + ½at²

240 = 32t + 16t²

t² + 2t - 15 = 0

t² + 5t - 3t - 15 = 0

t(t + 5) - 3(t + 5) = 0

(t - 3)(t + 5) = 0

t = 3, -5

Final answer:

By applying the equation of motion, we can determine that under the conditions specified in the question, it would take about 4.3 seconds for a pilot to fall from 1000 feet to 760 feet.

Explanation:

The question regards the time it takes for a pilot to fall a certain distance with a given initial velocity. The situation can be treated as a free fall, because while in the air the only force the pilot is subjected to (neglecting air resistance) is gravity. The key formula we need is the equation of motion d = vt + 0.5[tex]at^2[/tex],

where:

d is the distance fallen

v is the initial velocity

a is the acceleration due to gravity (9.8[tex]m/s^2[/tex])

t is the time

In this case, the distance d is 1000ft - 760ft = 240ft (73.152m), the initial velocity v is 32 ft/s (9.75m/s downwards).

Plugging these values into the equation, we get 73.152m = 9.75m/s *t + 0.5*(-9.8[tex]m/s^2[/tex])*[tex]t^2[/tex], which can be rearranged and solved to get t = 4.3s.  

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z/8 + 2 = -15
The solution is z = ______.

Answers

Look at the attached picture

Hope it will help u..

Answer:

Z = -136

Step-by-step explanation:

z/8 + 2 = -15

       -2       -2

Z/8 = -17

Z/8 X 8     -17 X 8

Z = -136

Please answer~ 25 points :p

Answers

Answer:

y=15

Step-by-step explanation:

We know that the angles in a triangle add to 180 degrees

∠ABC+∠BAC+∠ACB=180

We don't know what ∠ACB is, but we know it is on a straight line with another angle (∠ACD). They are supplementary, and must add to 180

∠ACB+ ∠ACD=180

∠ACB+146=180

Subtract 146 from both sides

∠ACB=34

Now, we know ∠ABC is 4y+8, ∠BAC is 5y+3 and∠ACB is 34, so we can substitute them in

∠ABC+∠BAC+∠ACB=180

4y+8+5y+3+34=180

Combine like terms

4y+5y+8+3+34=180

9y+45=180

Subtract 45 from both sides

9y=135

Divide both sides by 9

y=15

A youth director for a city's parks and recreations department is planning for next year's program. From a survey of city residents, the director knows that 35% of the population participate in the parks and recreations programs. For a random sample of 40 people, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?

Answers

Given Information:  

Sample size = n = 40  

sample proportion = p = 35% = 0.35  

Required Information:

standard deviation of sample proportion = σ

Answer:  

standard deviation of sample proportion = σ = 0.075

Step-by-step explanation:  

Check if the condition np ≥  10 or n(1 - p) ≥ 10 is satisfied

np ≥ 10

40*0.35 ≥ 10

14 ≥ 10 satisfied

n(1 - p) ≥ 10

40(1 - 0.35) ≥ 10

26 ≥ 10 satisfied

Which means that distribution of sample proportion will have a mean closer to the population proportion.

The standard deviation for sample proportion is given by

[tex]\sigma = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]\sigma = \sqrt{\frac{0.35(1-0.35)}{40}}[/tex]

[tex]\sigma = 0.075[/tex]

Therefore, the standard deviation for the sampling distribution of the sample proportions is 0.075.

need math help!! answer choices are 80 , 40, 20, and 60

Answers

Answer:

60

Step-by-step explanation:

The corresponding angles of the triangles are given, y + 10 and 2y - 40. You need to first find the value of the variable (in this case, y), and to do this, you need to set them equal to one another:

y + 10 = 2y - 40

Subtract y from both sides:

y + 10 = 2y - 40

-y          -y

____________

10 = y - 40

Add 40 to both sides:

10 = y - 40

+40    +40

________

50 = y

Now that we have the value of y, you need to plug the value into one of the expressions (either one will come out with the same answer):

y + 10

50 + 10 = 60

OR

2y - 40

2(50) - 40

100 - 40 = 60

Finding Leg Lengths. Find the length of a leg in the 45°-45°-90°
triangle.

Answers

Answer:

12. [tex]x=10[/tex]

13. [tex]x=4[/tex]

14. [tex]x=5[/tex]

15. [tex]x=1[/tex]

16. [tex]x=8[/tex]

17. [tex]x=14[/tex]

Step-by-step explanation:

for these i also used the pythagorean theorem ([tex]a^{2}+b^{2}=c^{2}[/tex])

[tex]a[/tex] and [tex]b[/tex] are the legs, [tex]c[/tex] is the hypotenuse

12.

[tex]x^{2} +x^{2} =(10\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =200[/tex]

[tex]x^{2} =100[/tex]

[tex]x=10[/tex]

13.

[tex]x^{2} +x^{2} =(4\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =32[/tex]

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

[tex]x=4[/tex]

14.

[tex]x^{2} +x^{2} =(5\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =50[/tex]

[tex]x^{2} =25[/tex]

[tex]x=5[/tex]

15.

[tex]x^{2} +x^{2} =(\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =2[/tex]

[tex]x^{2} =1[/tex]

[tex]x=1[/tex]

16.

[tex]x^{2} +x^{2} =(8\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =128[/tex]

[tex]x^{2} =64[/tex]

[tex]x=8[/tex]

17.

[tex]x^{2} +x^{2} =(14\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =392[/tex]

[tex]x^{2} =196[/tex]

[tex]x=14[/tex]

5 2/8-3 7/8=? I need help plzz

Answers

Answer:

1 3/8

Step-by-step explanation:

5 2/8 - 3 7/8

= 42/8 - 31/8

= 11/8

= 1 3/8

Make it as the brainliest

Answer:

  1 3/8

Step-by-step explanation:

(5 +2/8) -(3 +7/8) = (5 -3) +(2/8 -7/8)

  = 2 - 5/8 = 1 3/8

__

It is often convenient to do the arithmetic separately for the integers and the fractions, then combine the results.

Of course, you know that 1 = 8/8 so subtracting 5/8 gives you 3/8.

)) Matt's bill for breakfast at a restaurant was $91. He left an 18% tip. What was the total
cost of his breakfast, including tip?

Answers

Answer:

$107.38

Step-by-step explanation:

$91 (the price) multiplied by the percentage 18% (91 x 18 = 1630) (1638/100=16.38 [the tip})

$91 (th original price) + 15.38 (the tip) = $108.38 (final price)

107.38 you take 18 percent of 91 then add it to 91 getting your final total

What is the slope of a line perpendicular to y= -5/6x-7?

a. -6/5
b. 6/5
c. -5/6
d. 5/6

Answers

Answer:

it's B

Step-by-step explanation:

Trust me

A set of math tests is normally distributed
with a mean of 81 and a standard deviation
of 5. If Adam's z-score was -0.6 and Leah's
z-score was 2.2, how many points higher did
Leah score than Adam?

Answers

2.2-0.6=1.6

1.6*81=129.6

129.6/2=64.8

Answer: 64.8

The Leah score than Adam is, 64.8.

Definition of normal distribution:

A normal distribution is a symmetrical continuous probability distribution in which values are usually clustered around the mean.

Step by step:

Adam had a z-score of -0.6 while Leah had a z-score of 2.2.

According, to the question:

[tex]2.2-0.6=1.6\\[/tex]

[tex]1.6[/tex]×[tex]81=[/tex][tex]129.6[/tex]

[tex]\frac{129.6}{2} \\64.8[/tex]

Hence, The Leah score than Adam score are 64.8.

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Can you guys please help me

Answers

Answer:

9^2 +12^2 = m^2

81+144=m^2

225=m^2

m=15

The Pythagorean Theorem is a^2 + b^2 = c^2

In this case, your a is 9, your b is 12, and your c is m

Following the boxes:

9^2 + 12^2 = m^2

81 + 144 = m^2

225 = m^2

m = 15

Help me please thank u

Answers

x^-10 because when multiplying exponents its like adding the exponents and 2+-12 is -10
when multiplying exponents with alike bases, you add the exponents, so with x^2•x^-12, you would add 2 & -12 to get x^-10

help me with these 3 questions please. aH-

Answers

Answer:

1) 2/7; 43; 3/7

2) C

3) 30; 30; 10; is not; 10; is not

Step-by-step explanation:

1) y + 4/7 = 6/7

y = 6/7 - 4/7

y = 2/7

17 + b = 60

b = 60 - 17

b = 43

6/7 = m + 3/7

m = 6/7 - 3/7

m = 3/7

2) 11.5 - x = 5.25

x = 11.5 - 5.25

x = 6.25

3) he can substitute 30 for t.

He can then multiply ⅓ by 30 to get a product of 10 (⅓ × 30 = 10).

Since 15 is not equal to 10, Harry's solution is not correct

Other Questions
Please Hurry! Will get Brainlest!The Helping Hands WellspringClark BensonThe streets were particularly crowded that day; people on their way to and from work and parents out with their young children created a quick pace of perpetually moving foot traffic.As Lucia made her way back to work after lunch, she couldnt help but notice the well-kept cobblestone beneath her feet and the outline of the shimmering new buildings against the summer sky. Her thoughts found their way back to her childhoodin particular, to the neighborhood of her youth, littered with garbage, lined with dilapidated buildings, and full of feuding neighbors. She recalled a community of skilled but unemployed workers; those fortunate enough to hold on to a joblike her motherhad done so for paltry wages. What a different city it had been then! The community before her now bustled with life and opportunity.Even at a very young age, Lucia had showed concern for the condition of the streets she and her mother walked every day. She had lain awake many a night, worrying about the poor appearance of the neighborhood and the many hopeless faces she encountered dailythe faces of her friends and family.You have powerful helping hands, Lucia, her mother had told her when worry lines marred the smooth skin of her young face. You should use them.As Lucia matured, she realized that her mother was rightnothing would ever change unless someone took action to remedy the situation. She started to toss around ideas, and by the time she was a sophomore in high school, Lucia had formed a school youth group that promoted community development. The group held fundraisers, organized weekly community clean-ups, and dictated the spending of charitable contributions. Slowly, their efforts became apparent as new businesses began to move to the neighborhood and employment opportunities increased.As she took a slow walk back to her office, Lucia thought about how her decision to attend a local university had been directly tied to her desire to continue improvements in her community. She remembered walking into her internship at an urban development company, full of city planning ideas and hope. As she walked, the citys public park came into view, filling Lucia with a sense of satisfaction and pride. Though shed had much help, the public park had been her baby. It had started small, with a few benches, a swing set, a sandbox, and a modest fountain. Over the years, it became a community hub, a gathering place, a spot where neighbors could meet for various events and activities. It also became a place where young people eager to help the community met to brainstorm ideas for further improvements.From her path, Lucia took in a panoramic view of the park, remembering how much time she had spent planning each area. Everything had turned just as she and the city planners had envisioned. The trees had grown to surround and shade the small pond in the center of the park. There were attractive benches, impressive statues, and a trail constructed for a leisurely stroll through the trees, as well as a perimeter path for those looking for a more brisk jog. To her left was the parks grand fountain, with water spraying in synchronized patterns that momentarily mesmerized her. The fountain had been a personal donation to Lucia in honor of her dedication to the community. As Lucia walked by on her way back to the street, she ran her finger over the shiny gold plaque bearing the words The Helping Hands Wellspring and smiled.1)Which of these is the main theme-topic of the passage?A)learning how to please peopleB)the importance of working togetherC)finding new business opportunitiesD)discovering that you can make a difference by taking action2)Which statement from the passage BEST describes Lucias feelings about her decision to stay in her childhood community?A)The fountain had been a personal donation to Lucia in honor of her dedication to the community.B)As she walked, the citys public park came into view, filling Lucia with a sense of satisfaction and pride.C)She remembered walking into her internship at an urban development company full of city planning ideas and hope.D)She recalled a community of skilled but unemployed workers; those fortunate enough to hold on to a joblike her motherhad done so for paltry wages.3)What kind of person is Lucia?A)promptB)livelyC)humorousD)ambitious 8=8a-4(a + 8) what is the answer In which poem does the poet use first-person point of view to let an aspect of the natural world describe itself to readers? "To Spring""The Human Seasons""Sonnet to the River Otter""The Cloud" Pinewood Company purchased two buildings on four acres of land. The lump-sum purchase price was $900,000. According to independent appraisals, the fair values were $450,000 (building A) and $250,000 (building B) for the buildings and $300,000 for the land. Required: Determine the initial valuation of the buildings and the land. Taysachs disease is an autosomal recessive disorder. Homozygous recessive individuals lack a key enzyme called hexosaminidase a. True or False The Florida Panther was once considered to be a subspecies of cougars and given a special trinomial taxonomy of Puma concolor coryi. Current scientists however, have studied the Florida Panther and removed the subspieces classification to only Puma concolor. Which of the following would most likely explain why the classification of the Florida Panther changed.A) New genetic evidence suggests a much closer relationship between the Florida Panther and other cougars.B) Shared features between the Florida Panther and other cougars were also found in newly discovered organisms in the world.C) Advanced technologies have shown a large difference in cell structure between the Florida Panther and other cougars.D) Trinomial naming conventions are no longer used by longer used by scientists because only the genus and species are important in taxonomy. Anheuser-Busch InBev Companies, Inc., reported the following operating information for a recent year: Sales $5,088,000 Cost of goods sold $1,272,000 Selling, general and administration 636,000 $1,908,000Income from operations $3,180,000* *Before special items In addition, assume that Anheuser-Busch InBev sold 53,000 barrels of beer during the year. Assume that variable costs were 75% of the cost of goods sold and 50% of selling, general, and administration expenses. Assume that the remaining costs are fixed. For the following year, assume that Anheuser-Busch InBev expects pricing, variable costs per barrel, and fixed costs to remain constant, except that new distribution and general office facilities are expected to increase fixed costs by $19,100.When computing the cost per unit amounts for the break-even formula, round to two decimal places. If required, round your final answer to the nearest whole barrel.Required:a. Compute the break-even number of barrels for the current year.b. Compute the anticipated break-even number of barrels for the following year. As a centerpiece for her design, Hevesh build a tower 72 inches tall made of dominoes that are 2 2/5 inches tall. How many rows of dominoes stacked on top of each other tower have When a low-pressure gas of hydrogen atoms is placed in a tube and a large voltage is applied to the end of the tube, the atoms will emit electromagnetic radiation and visible light can be observed. If this light passes through a diffraction grating, the resulting spectrum appears as a pattern of four isolated, sharp parallel lines, called spectral lines. Each spectral line corresponds to one specific wavelength that is present in the light emitted by the source. Such a discrete spectrum is referred to as a line spectrum. By the early 19th century, it was found that discrete spectra were produced by every chemical element in its gaseous state. Even though these spectra were found to share the common feature of appearing as a set of isolated lines, it was observed that each element produces its own unique pattern of lines. This indicated that the light emitted by each element contains a specific set of wavelengths that is characteristic of that element. Often in statistics research, a population is too large to collect data on. A sampling distribution of a statistic is created by taking repeated samples of a certain size. But the most accurate information will be gained by taking every possible sample of a certain size. A population of size 4 has 6 possible samples of size 2. Use this fact to explain why taking every sample of a certain size is not done for a population too large to analyze. Which of the following would NOT generally be a motive for a firm to hold inventories? to hedge against inflation to decouple various parts of the production process to provide a selection of goods for anticipated customer demand and to separate the firm from fluctuations in that demand to minimize reordering costs Whats the answer ?? according to trickle-down economics which of the these increases economic growthA) a decrease in taxes for investors B) a decrease in the demand for goods C) an increase in capital gains taxesD) an increase in government regulation Which number is bigger? 0.183 or 0.18 The scientist checked his records. The sample came from a Holstein, a black and white dairy cow. She lived in Canada for most of her life. That's probably where she got infected. But no one noticed, and she was later sold to a ranch in Washington State.After the cow was killed, she was cut up. Then various parts of her body were sent to factories in three western states.Now Hughes knew what he was looking forand where to start.When Birds Get Flu and Cows Go Mad! How Safe Are We?, John DiConsiglioWhat are the signal words that point to a solution in this passage?probably . . . Butlater . . . inAfter . . . wasNow . . . and Kier Company issued $660,000 in bonds on January 1, Year 1. The bonds were issued at face value and carried a 5-year term to maturity. The bonds have a 6.00% stated rate of interest and interest is payable in cash on December 31 each year. Based on this information alone, what are the amounts of interest expense and cash flows from operating activities, respectively, that will be reported in the financial statements for the year ending December 31, Year 1? What is the name of the genetic engineering technique illustrated in diagram 2 above A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.04 with 99% confidence if (a) she uses a previous estimate of 0.52?(b) she does not use any prior estimates? Gas prices have really decreased in the past month. At the beginning of March I paid $2.15 per gallon. I just recently filled my tank and it was $1.56. What was the percent of decrease to the nearest tenths place? Can someone help please???