2 printing machines of a printing house can complete the printing work of the required number of Excel in Mathematics textbooks in 20 days. After printing the books for 8 days, if 1 more machine was added, in how many days would the remaining work be completed?​

Answers

Answer 1

The remaining work can be completed in if 2 printing machines of a printing house can complete the printing work in 20 days, After printing the books for 8 days, if 1 more machine was added, is 8 days.

What is addition?

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

Given:

2 printing machines of a printing house can complete the printing work in 20 days,

After printing the books for 8 days, if 1 more machine was added,

Assume the total work is x,

Calculate the amount of work done in 8 days by both machines as shown below,

The amount of work done in 8 days = x / 20 × 8

The amount of work done in 8 days = 2x / 5

Calculate the remaining work = x - 2x / 5

The remaining work = 3x / 5

Calculate the time taken to complete the remaining work,

Time = (3x / 5) / (3x / 40) = 8 days

Thus, the total time is 16 days.

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Related Questions

Consider a completely randomized design involving four treatments: A, B, C, and D. Select a correct multiple regression equation that can be used to analyze these data. Define all variables. I. E(y) = Bo + B1 21 22 23 24, where 21 = 1 if treatment A, 21 = 0, otherwise; x2 = 1 if treatment B, 32 = 0, otherwise; 23 = 1 if treatment C, 33 = 0, otherwise; 24 = 1 if treatment D, 24 = 0, otherwise. II. E(y) = Bo + B121 + B222 + B323 + B4204, where 21 = 1 if treatment A, 21 = 0, otherwise; 22 = 1 if treatment B, 22 = 0, otherwise; 23 = 1 if treatment C, 13 = 0, otherwise; 24 = 1 if treatment D, 24 = 0, otherwise. III. E(y) = Bo + B121 + B222 + B323, where 21 = 1 if treatment B, 21 = 0, otherwise; 22 = 1 if treatment C, 22 = 0, otherwise; 23 = 1 if treatment D, 13 = 0, otherwise. Select your answer

Answers

Option III "E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise." is a correct multiple regression equation that can be used to analyze these data. So the option III is correct.

Randomized design involving four treatments: A, B, C, and D.

So total number of treatments = 4(A, B, C, D)

So the number of dummy variable is required = 4 - 1

The number of dummy variable is required = 3

The three variables would be x₁ x₂ and x₃ and the fourth treatment scenario would be represented if all three were zero.

So the option III is correct because this is a correct multiple regression equation because it contains all the necessary components to define a linear regression model.

Specifically, it contains a dependent variable (y), a constant (B₀), and three independent variables (x₁, x₂, x₃). Additionally, each of the independent variables is either assigned a value of 1 or 0 depending on the treatment, which is how a linear regression model is typically constructed.

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The complete question is:

Consider a completely randomized design involving four treatments: A, B, C, and D. Select a correct multiple regression equation that can be used to analyze these data. Define all variables.

I. E(y) = B₀ + B₁ x₁ x₂ x₃ x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.

II. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃ + B₄x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.

III. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise.

Le Saveu The UL health centre is giving a Pfizer vaccine to the surrounding community members of the 100 people who were vaccinated, 80 developed immunity to the disease. At 90% confidence level which one of the following is incorrect? O A. The sample propotion is 0.80. OB. The population propotion is 0.80. OC. The marginal error is 0.0658 UD. The critical value is 1.645 FE. The standard error is 0.04​

Answers

Using confidence interval concepts, it is found that the incorrect statement is given by:

B. The population proportion is 0.80.

In a sample of n people with a proportion of \(\pi\), and a confidence level of \(1-\alpha\), we the confidence interval for the proportion is:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which  z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

80 developed immunity out of 100, thus, the sample proportion is:

\(\pi = \frac{80}{100} = 0.8\)

Option A is correct.

The standard error is:

\(s = \sqrt{\frac{\pi(1-\pi)}{n}}\)

Considering \(n = 100\)

\(s = \sqrt{\frac{0.8(0.2)}{100}} = 0.04\)

Thus, statement E is correct.

90% confidence level, thus the critical value is the value of z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(z = 1.645\), which means that statement D is correct.

The margin of error is:

\(M = zs = 1.645(0.04) = 0.0658\)

Thus, statement C is correct, which leaves B as the false statement, as we have the sample proportion, and we can only estimate, not guarantee the population proportion.

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Please help is due tonight

Please help is due tonight

Answers

The linear function that has the greatest initial value is Function C.

Function B has the greatest rate of change.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Function A:

The initial value is o.

f(0) = 0

The rate of change.

= (f(4) - f(2)) / 4 - 2

= (10 - 5) / 2

= 5/2

= 2.5

Function B:

The initial value is

y = 3x - 1

y = 3 x 0 - 1 = 0 - 1 = -1

Let y = f(x)

The rate of change.

= (f(2) - f(1)) / (2 - 1)

= (5 - 2) / 1

= 3

Function C:

The initial value is 2.

(0, 2) is considered as when x = 0, y = 2.

Take two coordinates from the graph.

(3, 3) and (6, 4)

The rate of change.

= (4 - 3) / (6 - 3)

= 1/3

= 0.33

Thus,

Function C has the greatest initial value.

Function B has the greatest rate of change.

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The equation Y= X^2/2 - 8 and Y= 2X -2 are graphed below what are the solutions to the equation X^2/2 - 8 = 2X -2 

Answers

The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.

To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.

The equation is:

X^2/2 - 8 = 2X - 2

To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:

X^2 - 16 = 4X - 4

Next, we rearrange the equation to have all terms on one side:

X^2 - 4X - 12 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:

(X - 6)(X + 2) = 0

Setting each factor equal to zero gives us two possible solutions:

X - 6 = 0 --> X = 6

X + 2 = 0 --> X = -2

So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.

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Create a table of 6-8 x-values that start at Zero and the
Observed Frequencies should make a “hill” like a normal distribution (though it doesn’t have to be a
perfect symmetric hill, nor does it have to be centered at the middle of the x-values – I would
recommend that you keep the frequencies over 5 at the edges of the “hill”). Determine if your made-up
frequencies make a binomial distribution through a full inferential test.

Answers

Answer:

the table of 6-8 is the values of x so starting with 0 would be 568

10)
- If a triangle has an obtuse angle, then it cannot be equilateral
- If a triangle is not equilateral, then it is not equiangular.
What valid conjecture follows from the argument shown?
A)
If a triangle is not equilateral, then it is right
B)
If a triangle has an obtuse angle, then it is scalene.
If a triangle has an obtuse angle, then it is not right.
D)
If a triangle has an obtuse angle, then it is not equiangular
11)
The length of a room is 181 feet. If using 1 inch = 1 foot scale, what would be the length of a wall on a blueprint of a

Answers

Answer:

i think its B

Step-by-step explanation:

QUESTION 5 · 1 POINT
Factor: 2x2 + x - 3.
Provide your answer below:
(2x+3)(x - 1)
I’m not sure if my answer is correct

QUESTION 5 1 POINTFactor: 2x2 + x - 3.Provide your answer below:(2x+3)(x - 1)Im not sure if my answer

Answers

Answer:

( x - 1) ( 2x + 3)

Step-by-step explanation:

It's actually the other way round.

2x^2- + x - 3

( 2x^2 - 2x) + (3x-3)

2x ( x-1 ) + 3( x-1)

( x -  1)(2x+3)

Its the other way around

HOPE IT HELPED

A theatre contains 460 seats and the ticket prices for a recent play were $50 for adults and $28 for children. If the total proceeds were $16,972 for a sold-out matinee,
how many of each type of ticket were sold?
The number of adult tickets was

Answers

(C + A = 460)28
28C + 50A = 16,972
28C + 28A = 12,880
Subtract
22A = 4092
A = 186
460 - 186 = 274
There was 186 adult tickets and 274 children tickets

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into thecorrect position in the answer box. Release your mouse button when the item is place. If you change your mind, dragthe item to the trashcan. Click the trashcan to clear all your answers.Factor this expression completely, then place the factors in the proper location on the grid. X^3 +1/8

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down,

Answers

The expression can be factorised as,

\(x^3+\frac{1}{8}=x^3+(\frac{1}{2})^3\)

We know the identity for cubes given as,

\(x^3+y^3=(x+y)(x^2-xy+y^2)_{}\)

Using this identity in the previous equation, the factorised form of the given expression is

\(x^3+(\frac{1}{2})^3=(x+\frac{1}{2})(x^2-\frac{1}{2}x+\frac{1}{4})\)

Please help me 10 extra points

Please help me 10 extra points
Please help me 10 extra points
Please help me 10 extra points

Answers

The probability of getting hearts or face cards is 25/52.

We know that, Probability of an event = Number of favorable outcomes/Total number of outcomes.

Total number of outcomes = 52 cards

Number of hearts = 13

Number of face cards = 12

Probability getting hearts = 13/52

Probability getting face cards = 12/52

P(Hearts or Face card) = 13/52 + 12/52

= 25/52

Therefore, the probability of getting hearts or face cards is 25/52.

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A triangle has sides with lengths 8, 15, and 17.

a. Verify this is a Pythagorean triple.

Type your response in the space below.


b. Approximate the acute angles in this triangle. Round each angle to the nearest degree.

Type the answers in the boxes below.

Answers

The values 8, 15 and 17 is a Pythagorean triple and therefore a right angle triangle.

What is Pythagoras Triple

A Pythagorean triple is a set of three positive integers, a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right-angled triangle, where c is the hypotenuse.

In this problem, we can we can check if the values are for a right angle triangle.

Assuming this is a right angle triangle which obeys Pythagoras theorem, the longest side will be the hypothenuse.

c = hypothenuse = 17a = leg = 15b = 8

c² = a² + b²

17² = 15² + 8²

289 = 225 + 64

289 = 289

From the calculation above, the values of is a Pythagorean triple.

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PLEASE I NEED HELP IN THIS
HERE IS THE PICTURE IS JUST ONE QUESTION

PLEASE I NEED HELP IN THISHERE IS THE PICTURE IS JUST ONE QUESTION

Answers

Answer:

f(x) = -5/9x - 11/9

Step-by-step explanation:

Consider f(x) = y

so if x = -4 => y = 1 and x = 5 => y = -4

so (-4,1) and (5,-4) should be on the same linear equation

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

m = (-4 - 1)/(5 -  -4) = (-5)/(9) = -5/9

y = mx + b

given m = -5/9, x = -4, y = 1

1 = -5/9(-4) + b

b = 1 - 20/9

b = 9/9 - 20/9 = -11/9

so y = -5/9x - 11/9

or f(x) = -5/9x - 11/9

If f (7) = 22, then
f(f-1(22)) = [?]

Answers

Answer: 22

Step-by-step explanation:

\(f(f^{-1}(x))=f^{-1}(f(x))=x\)

At the start of a month a customer spends $3 for a reusable coffee cup. She pays $2 each time she has the cup filled with coffee. At the end of the month she has paid
$53. Write an equation to show x number of refills she got for the month.

Answers

Equation: 3+2(x)=53
Answer: x=25

Select the solution to the following system of equations:

Select the solution to the following system of equations:

Answers

Answer:

4x+2y=4

3x-y=-7

first one by 3

second by 4

12x+6y=12

12x-4y=-28

subtract

10y=40

y=4

plug in

3x-4=-7

add 4

3x=-3

x=-1

(-1,4)

c

Hope This Helps!!!

Answer: third option

Step-by-step explanation:

There are 2 ways to go about systems of equations normally, and that's elimination and substitution. For this particular problem, I would recommend elimination.

we see the first equation 4x+2y=4

we want to be able to simplify it as much as possible (so it's easier to solve)

so we divide all the terms by 2, giving 2x+y=2.

the second equation can't be simplified, so we set up the elimination method.

   2x+y=2

  -3x-y=-7

multiplying both equations by 2 and 3, we subtract them and get that y equals 4, which is clearly the answer.

2. Find the length of segment JK with endpoints J(4,8) and K(-1,-2). Leave answer as a
radical. Simplify if necessary.

Answers

Answer:

Distance of JK = 15 unit

Step-by-step explanation:

Given:

J(4,8)

K(-1,-2)

Find:

Distance of JK

Computation:

Distance = √(x₂-x₁)² + (y₂-y₁)²

Distance of JK = √(-1-4)² + (-2-8)²

Distance of JK = √25 + 100

Distance of JK = √125

Distance of JK = 15 unit

Fill in the table using this function rule.
y=-3x-3
X
-2
-1
0
1
y
0
0
0
X
Ś

Fill in the table using this function rule.y=-3x-3X-2-101y000X

Answers

Answer:

X    |   y

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

-2   |   3

-1   |   0

0   |  -3

1   |  -6

What is the value of x in the equation = 262WIN

What is the value of x in the equation = 262WIN

Answers

Answer:

B. 39

Explanation:

Given the equation:

\(\frac{2}{3}=\frac{26}{x}\)

First, cross multiply:

\(2x=26\times3\)

Next. divide both sides by 2:

\(\begin{gathered} \frac{2x}{2}=\frac{26\times3}{2} \\ x=39 \end{gathered}\)

The value of x is 39.

More than two-thirds of undergraduate students who graduated with a bachelor's degree had student loan debt. The average student loan debt among these graduating seniors was $28,654. The average interest rate on student loans was 6.1%. How much interest did a student with $28,654 in student loan debt pay in the first year? Round to the nearest cent.

Answers

The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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7x^7+10x^4+4x^3-5x^11-10x^6-6x^7

Answers

The sum of the terms is x^7+10x^4+4x^3-5x^11-10x^6

How to determine the value

To determine the value, we need to know that algebraic expressions are described as expressions that are composed of factors, constants, variables, terms and coefficients.

These algebraic expressions are also identified with the presence of arithmetic operations,

These operations are;

AdditionBracketParenthesesSubtractionMultiplicationDivision

From the information given, we have that;

7x^7+10x^4+4x^3-5x^11-10x^6-6x^7

collect the like terms

7x^7 - 6x^7+10x^4+4x^3-5x^11-10x^6

add the like terms

x^7+10x^4+4x^3-5x^11-10x^6

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Which shows two products that both result in positive values?
(0.5)(-0.4) and (1,2)(-0,8)
(-0,5)(-0.4) and (1,2)(-0,8)
(0,5)(0.4) and (-1,2)(-0,8)
(0,5)(-0,4) and (1,2)(0,8)

Answers

Answer: A is the answer

Step-by-step explanation:

I'm helping someone with her daughter's homework. What is the term for this definition: take a part a number to write it in a new way. In mcgraw hill my math grade 1

Answers

Answer:

hello mate.. i am glad ur helping someone for her hw.. nice nice

well as per my understanding

'' take apart a number to write it in a new way ''

this answer must be '' subtraction''

as in subtraction we take apart number and resulting number is new way of writing the difference of first 2 ....

go on.. help more ppl ... we are here to support

2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.

Answers

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

a hot tub pump circulate 4 cubic feet of water per minute, how many cubic inches of water does it circulate earch minute?

Answers

\( 4 {ft }^{3} \times {( \frac{12in}{ft} )}^{3} = 6912 {in}^{3} \)

Write the
slope-intercept form of the equation of
the line that passes through the point (1, 2) and
has the slope of 6.

Answers

2=6x1+b this is slope intercept form

HELP!!!!!!! PLS
QUESTIONS ARE BELOW

HELP!!!!!!! PLS QUESTIONS ARE BELOW
HELP!!!!!!! PLS QUESTIONS ARE BELOW
HELP!!!!!!! PLS QUESTIONS ARE BELOW
HELP!!!!!!! PLS QUESTIONS ARE BELOW
HELP!!!!!!! PLS QUESTIONS ARE BELOW

Answers

Answer:

hope this will help you

Step-by-step explanation:

\( \frac{7m}{4} - 2m - 3 \\ = \frac{7 \times ( - 2)}{4} - 2 \times ( - 2) - 3 \\ = \frac{ - 7}{2} + 4 - 3 \\ = \frac{ - 7}{2} + 1 \\ = \frac{ - 7 + 2}{2} \\ = \frac{ - 5}{2} \\ = - 2.5\)

\((3 + {n}^{4} ) \div 3 \\ = (3 + {3}^{4} ) \div 3 \\ = (3 + 81) \div 3 \\ = 84 \div 3 \\ = 28\)

5 Ed has two dogs. The smaller dog weighs
83 pounds. The larger dog weighs 13 times
as much as the smaller dog. How much does the larger dog weigh?

Answers

Answer:

1,079 more pounds

Step-by-step explanation:

because if you do 83x13 you will get 1,079

for his
Noah decides to change the design of the tabletop so that it is a rectangle with the same
area as his original tabletop design. How can Noah change his design to a rectangle but
keep the same area?
Choose one option from each drop-down menu to answer the question.
To change his design, Noah can make one vertical cut through the parallelogram to form
Choose...
Then, to make a rectangle, he can match up
Choose..
Noah's original tabletop design
has the same area as a rectangle with a base of Choose...ft and a height of
Choose... v ft.

for hisNoah decides to change the design of the tabletop so that it is a rectangle with the samearea

Answers

Answer:

two triangles, the top of one figure with the bottom of the other figure, 8 and 4

Step-by-step explanation:

I am not sure if it's right but I hope it is!

Find x when () = 2. Please explain step by step

Find x when () = 2. Please explain step by step

Answers

Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.

Step-by-step explanation:

Questlon 2 of 10 Which distribution is positively skewed? will give brainliest ​

Questlon 2 of 10 Which distribution is positively skewed? will give brainliest

Answers

Answer:

The answer is B

Step-by-step explanation:

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a graduated cylinder weighs 28.102 g. a solution has been created which levitates a piece of pvc. the graduated cylinder containing 6.25 ml of that solution weighs 34.200 grams.What is the density of the solution? The acceleration of an object is ____________________ related to the net force exerted upon it and _____________________ related to the mass of the object. In equation form: a = Fnet / m. a. directly, inversely b. inversely, directly c. directly, directly d. inversely, inversely so like. i need help. according to the centers for disease control (cdc), roughly 21.5% of all high school seniors in the united states have used marijuana. (the data were collected in 2002. the figure represents those who smoked during the month prior to the survey, so the actual figure might be higher.) a sociologist suspects that the rate among african american high school seniors is lower. in this case, then,: the rate of african american high-school seniors who have used marijuana is 21.5% (same as the overall rate of seniors).: the rate of african american high-school seniors who have used marijuana is lower than 21.5%.to check his claim, the sociologist chooses a random sample of 375 african american high school seniors,and finds that 16.5% of them have used marijuana.in order to assess this evidence, we need to find: How does telling the story from Fredrick Douglass's point of view influence the story? Answer the question using RACES Clear selecWhich of the following event set off the flashback in the play?O Mr Frank returns to the Secret Annex at the end of the warAnne recounts in her diary the many anti-Jewish decreesMrs. Van Dann tells Anne about the many admires she had in her youthO Peter calls Ann Mrs Quack Quack The manager of a shopping center wishes to obtain information on the shopping habits of people in the area. The area contains four neighborhoods of varying populations. The manager suspects that the shopping habits may be different in different-sized neighborhoods. Which of the following sampling designs would be most effective in gathering the information the manager requires?A. a convenience sample from the areaB. a simple random sample from the areaC. a cluster sample using the neighborhoods as clustersD. a stratified sample from the neighborhoods in the areaE. an online poll that invites all people from the neighborhoods in the area to participate How does inflation affect a companys EOQ? Select one: A. Doesnot affect EOQ. B. Increases manufacturing overhead. C. Increasesthe company inventory turnover. D. Increases carrying costs. Do you feel the Electoral College is still necessary as a way to elect the President? Explain your answer. Somos bilinges y_ hablar espaol e ingls. (We are bilingual and weknow Spanish and English.) *conocerconocemossabersabemos The system of equations graphed below has how many solutions?y = 2x + 2y= 2x Which of the following equations uses the commutative property of addition to rewrite ? Mrs. Morris drove 1116 more miles in June than in May, she drove 873 miles. How many miles did you sure drive in June The textbook suggests that the vulnerability of 2- to 6-year-olds to injury reflects a combination of _____ and a(n) _____. 1+1+1=1 plz hep im dsao bad it d. now assume weighted fair queueing (wfq) service. assume that odd-numbered packets are from class 1, and even-numbered packets are from class 2. class 1 has a wfq weight of 2, while class 2 has a wfq weight of 1. note that it may not be possible to achieve an idealized wfq schedule as described in the text, so indicate why you have chosen the particular packet to go into service at each time slot. for each packet what is the delay between its arrival and its departure? what is the average delay over all 12 packets? after a grueling flight, your plane lands in tokyo. starving, you stop at the first sushi bar you see and spend 5,800 japanese yen. your currency from an earlier stop in germany is still in euros. how many euros did you spend? assume the dollar per yen exchange rate is .00806 and the dollar per euro exchange rate is .9203. What are the Independent, Dependent, and Controlled Variables?I am observing the different stages of cell division by observing the tip of an onion root under a microscope and the time spent in each cycle. During its completed cell division cycle, the onion root cell will have spent 68% in Interphase, 16% in Prophase, 6% in Metaphase, 4% in Anaphase, 4% in Telophase, and 2% in Cytokinesis.What are the independent, dependent, and controlled variables of the onion roots cell division?For more info my lab report is attached a stock has an expected return of 8.0 percent, its beta is .60, and the risk-free rate is 3 percent. what must the expected return on the market be? (do not round intermediate calculations. enter your answer as a percent rounded to 2 decimal places.) Please please please help me with this please and i will give you a brainlist and 10 points