Please answer ASAP I will give you brainliest

Please Answer ASAP I Will Give You Brainliest

Answers

Answer 1

Answer:

a = 11

b = 6

Step-by-step explanation:

\( \frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } = a - b \sqrt{3} \\ \\ \frac{(5 + 2 \sqrt{3} )}{(7 + 4 \sqrt{3}) } \times \frac{(7 - 4 \sqrt{3})}{(7 - 4 \sqrt{3})} = a - b \sqrt{3} \\ \\ \frac{(5 + 2 \sqrt{3)} (7 - 4 \sqrt{3} )}{ {(7)}^{2} - {(4 \sqrt{3} )}^{2} } a - b \sqrt{3} \\ \\ \frac{35 - 20 \sqrt{3} + 14 \sqrt{3} - 24 }{49 - 48} = a - b \sqrt{3} \\ \\ \frac{11 - 6 \sqrt{3}}{1} = a - b \sqrt{3} \\ \\ 11 - 6 \sqrt{3} = a - b \sqrt{3} \\ \\ equating \: like \: terms \: on \: both \: \\ sides, \: we \: find : \\ \\ a = 11 \\ \\ b = 6\)


Related Questions

-64,-47,-30,-13 arithmetic or geometric or neither.

Answers

Answer:

Arithmetic

Step-by-step explanation:

Given sequence

-64,-47,-30,-13

We can observe it is increasing sequence

The rate of increase is linear and equal to 17

Therefore it is an arithmetic progression

Answer

-64,-47,-30,-13 is arithmetic .

\( \huge \red {explanation}\)

this is arithmetic progression because ;

it is a increasing sequence the rate of increase is linear and equal to 17 . so, the required answer is arithmetic .

Scientific notation (dividing): (6.8 * 10^-8) / (2.5 * 10^-4) = ________ * 10^____

Answers

Answer:

Step-by-step explanation:

2.72*10^-4

The area of a certain square is 900 square inches. What is the perimeter of this square in inches?

Answers

Answer:

The perimeter of a square with an area of 900 square feet is 120 ft.

Step-by-step explanation:

Calculation of the perimeter of the square:

Since the area is 900 square feet

We know that

The area of square =

So, length of one side should be 30

Now the perimeter should be

= 4(30)

= 120 ft.

Hence, The perimeter of a square with an area of 900 square feet is 120 ft.

The perimeter of a square with an area of 900 square feet is 120 ft.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.

Given that the area of a certain square is 900 square inches.

The perimeter of the square is the sum of all the sides of the square and the formula is written as,

P = 4a

The value of side 'a' will be calculated as,

Area = a²

a = √900

a = 30 inch

The perimeter will be calculated as,

P = 4a

P = 4 x 30

P = 120 inch

Therefore, the perimeter of a square with an area of 900 square feet is 120 ft.

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CAN SOMEBODY EXPLAIN HOW TO DO THIS IT'S MY 5TH TIME ASKING AND NOBODY EVEN HELPS ME!


i used caps to get ur attention 7u7

CAN SOMEBODY EXPLAIN HOW TO DO THIS IT'S MY 5TH TIME ASKING AND NOBODY EVEN HELPS ME!i used caps to get

Answers

Answer:

10x20+10x6=260

Step-by-step explanation:

Answer:

260 cm²

Step-by-step explanation:

Area of the rectangle

= l × w

= 20 × 10

= 200 cm²

Area of the triangle

= ½bh

= ½ × 20 × 6

= ½ × 120

= 60 cm²

Area of the total figure

= Area of the rectangle + Area of the triangle

= 200 cm² + 60 cm²

= 260 cm²

________

Hope it helps ⚜

CAN SOMEBODY EXPLAIN HOW TO DO THIS IT'S MY 5TH TIME ASKING AND NOBODY EVEN HELPS ME!i used caps to get

In this scenario, what is the test statistic? A business journal tests the claim that the percent of small businesses that patent products is greater than 49%. Sample size =30 small businesses Sample proportion =0.60 Calculate the test statistic using the formula: z0=p′−p0/sqrt{p0⋅(1−p0)\n} p′ = sample proportion, n = sample size, and p0 = population proportion under the null hypothesis Round your answer to 2 decimal places.

Answers

The test statistic is approximately 1.22, rounded to two decimal places.

The test statistic measures the deviation of the sample proportion from the population proportion under the null hypothesis and helps determine the statistical significance of the claim.

To calculate the test statistic, we use the formula:

z0 = (p′ - p0) / sqrt(p0 * (1 - p0) / n)

Where:

p′ = sample proportion = 0.60

p0 = population proportion under the null hypothesis = 0.49

n = sample size = 30

Plugging in the values, we have:

z0 = (0.60 - 0.49) / sqrt(0.49 * (1 - 0.49) / 30)

Calculating the expression within the square root:

sqrt(0.49 * (1 - 0.49) / 30) ≈ 0.090

Substituting back into the formula:

z0 = (0.60 - 0.49) / 0.090 ≈ 1.22

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5x + 2y = 8 x + y = 4 if you want to solve the system of equations by addition which of the following could you do

Answers

Answer: x= 0, y = 4

Step-by-step explanation:

5x+2y=8

X+y=4 -> y=4-x

5x + 2(4-x)=8 -> 5x + 8-2x=8 -> 3x=0 -> x=0

y=4-x=4-0=4

What is the equation of the line that passes through the point (6, -6) and has a slope of -5/3 ​

Answers

Answer:

y= -5/3x + 4

Step-by-step explanation:

hope this helps :)

The following lines: y=2/3(x) and y=-3/2(x) are...
O Intersectings=
O Neither
O Parallel
O Perpendicular

Need ASAP

Answers

Answer:

the answer to this question is parallel

I need help really bad plsss

I need help really bad plsss

Answers

Answer:

0

Step-by-step explanation:

(f-g)(x) = 12-sqrt(x)

plugging in 144, we get 12 - 12 = 0

one could also do f(x)-g(x) which would yield 24-24=0

Find the inverse of the following function: f(x) = 8√x for x ≥ 0

Find the inverse of the following function: f(x) = 8x for x 0

Answers

Answer:

B

Step-by-step explanation:

y = 8√x (square both of side)

y² = 64x

x = y²/64

f-¹(x) = x²/64

The inverse is B.) f-¹(x) = x²/64 for, x≥0

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, given that, f(x) = 8√x for x ≥ 0

Let, f(x)=y

Then, we get,

y = 8√x (square both of side)

y² = 64x

x = y²/64

i.e. f-¹(x) = x²/64

Hence, The inverse is B.) f-¹(x) = x²/64 for, x≥0

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after being nominated for an mtv music award, the probability of winning is 25%. if ariana grande has been nominated for five awards, what is the chance that she will win at least one award? how many awards should she expect to win? what is the standard deviation associated with this probability?

Answers

The probability of winning at least one award is 1 - 0.2373 = 0.7627 or 76.27%.

If the probability of winning an MTV music award after being nominated is 25%, the probability of not winning is 75%. Thus, the probability of not winning any of the five awards is (0.75)^5 = 0.2373.

As for how many awards Ariana Grande should expect to win, we can use the expected value formula: E(x) = n * p, where n is the number of trials (in this case, 5) and p is the probability of success (0.25). Therefore, E(x) = 5 * 0.25 = 1.25. So, Ariana Grande can expect to win about 1 award.

Finally, to calculate the standard deviation associated with this probability, we can use the formula: σ = sqrt(n * p * (1-p)). Plugging in the values, we get σ = sqrt(5 * 0.25 * 0.75) = 0.866. Therefore, the standard deviation associated with this probability is approximately 0.866.

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How do I find the angles

How do I find the angles

Answers

Answer: See attached

Step-by-step explanation:

      We can use the knowledge of straight angles being equal to 180° and our knowledge of vertical angles as well as corresponding angles.

      See attached for a visual and all the angle measurements laid out.

How do I find the angles

A store is offering a 25% discount on all items.Also, employees get a 10% employee discount. If you are an employee which discount would you want to be applied first to save the most money?

Answers

The 25% discount would save the most money.

For example, say the employee has a purchase total of $12.00.

If a 10% discount was applied, the cost would be $10.80.

However, if a 25% discount was applied, the cost would be $9.00.

Given two points which represent the endpoints of the diameter of a​ circle, which of the following statements is​ true?
A.
The x​-coordinate of the center of the circle must be the same as at least one of the x​-coordinates of the given endpoints of the diameter.
B.
The center of the circle is the midpoint of the given endpoints of the diameter.
C.
The center of the circle cannot be found without additional information.
D.
The y​-coordinate of the center of the circle must be the same as at least one of the y​-coordinates of the given endpoints of the diameter.

Answers

The correct statement is B. The center of the circle is the midpoint of the given endpoints of the diameter.

In a circle, the center is located at the midpoint of any diameter. A diameter is a line segment that passes through the center of the circle and has its endpoints on the circle. Therefore, if we are given the endpoints of a diameter, we can determine the center of the circle by finding the midpoint of these endpoints. This means that the x-coordinate of the center will be the average of the x-coordinates of the endpoints, and the y-coordinate of the center will be the average of the y-coordinates of the endpoints.

Option A is not necessarily true because the x-coordinate of the center may or may not be the same as the x-coordinates of the given endpoints.

Option C is incorrect because the center of the circle can be found by determining the midpoint of the diameter.

Option D is not necessarily true because the y-coordinate of the center may or may not be the same as the y-coordinates of the given endpoints.

Therefore, the correct statement is B. The center of the circle is the midpoint of the given endpoints of the diameter.

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if we use 3/4 of an 8 ounce container how much of the container is used

Answers

Answer: 6 ounces

Step-by-step explanation:

From the question, we are informed that 3/4 of an 8 ounce container is used and told to calculate how much of the container is used.

To solve this, we have to multiply 3/4 by 8 ounces. This can be mathematically written as:

= 3/4 × 8

= 6 ounces

It means that 6 ounces of the container are used

Translate into an inequality

A number w increased by 8 is at most -23

1) less than 2) greater than 3) less/equal to 4)greater/equal to

Answers

Answer:

w + 8 ≥ -23

Step-by-step explanation:

Barton wants to know how much his packed suitcase weighs before he leaves to catch a flight. The airline will charge an extra fee if his suitcase weighs more than 50 pounds. Which method should Barton use to get the most accurate and appropriate measurement?

Answers

Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:

Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.

Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.

Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.

Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.

Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.

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Answer:

use a standard digital bathroom scale.

Step-by-step explanation:

Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus of $50. Is it possible for Suri and Juan to make the same amount of wages, y, by working the same number of hours, x, in one week?
Yes, because the slopes of the equations are different so the system of equations will have one solution.
No, because the slopes of the equations are different so the system of equations will have no solutions.
Yes, because the slopes of the equations are the same so the system of equations will have infinitely many solutions.
No, because the slopes of the equations are the same so the system of equations will have no solutions.

Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus

Answers

Answer:

Yes, because the slopes of the equations are different so the system of equations will have one solution.

Step-by-step explanation:

What is 5/42 as a decimal rounded to 3 decimal places?

Answers

Answer:

0.119

Step-by-step explanation:

hope this helps

Answer:

0.119

Step-by-step explanation:

Well 5/42 is quite easy! Just do some long division it'll work easily! That'll give you 0.119047619 it's a long decimal! Then just round it to get 0.119. I hope the explanation helped if you don't get long division you should watch some videos it'll be helpful.

Find f(x)= x^4-2x^2+3
a) find the local max and minimum values
b) Find the intervals of concavity and the inflection point
c) find the intervals on which the function is increasing or decreasing

Answers

a) The given function is f(x) = x⁴ − 2x² + 3. We can find the local maxima and minima of the function using its first derivative

:f(x) = x⁴ − 2x² + 3f'(x) = 4x³ − 4xIf f'(x) = 0, then x = 0 or x = ±1.

The critical values of f(x) are −1, 0, and 1.Therefore, the function has local maxima at x = ±1 and a local minimum at x = 0.b) We need to find the intervals of concavity and the inflection point of the given function.

To find the concavity, we will use the second derivative

:f(x) = x⁴ − 2x² + 3f'(x) = 4x³ − 4xf''(x) = 12x² − 4If f''(x) = 0, then x = ±sqrt(3/2).The critical values of f''(x) are −sqrt(3/2) and sqrt(3/2).

Therefore, the function is concave upward on the intervals (−∞, −sqrt(3/2)) and (sqrt(3/2), ∞) and concave downward on the interval (−sqrt(3/2), sqrt(3/2)).

The inflection point of the function is at x = ±sqrt(3/2).c) To find the intervals on which the function is increasing or decreasing, we need to analyze the sign of the first derivative:

f(x) = x⁴ − 2x² + 3f'(x) = 4x³ − 4xThe function is decreasing on the interval (−∞, 0) and increasing on the intervals (0, 1) and (−1, ∞).

Thus, the function is increasing on (0, ∞) and decreasing on (−∞, 0).So, the intervals of increase are (0, ∞) and intervals of decrease are (−∞, 0).

Therefore, the simple answer is:

a) The function has a local maximum at x = ±1 and a local minimum at x = 0.

b) The function is concave upward on the intervals (−∞, −sqrt(3/2)) and (sqrt(3/2), ∞) and concave downward on the interval (−sqrt(3/2), sqrt(3/2)).

The inflection point of the function is at x = ±sqrt(3/2).c) The function is increasing on (0, ∞) and decreasing on (−∞, 0).

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A business analyst deposited $50,000 into an account earning an annual interest rate of 5.5% compounded monthly. If the analyst leaves the money in the account for 2 years, how much interest (in dollars) is earned on the account?

Answers

The interest earned on the account is $5,750.53 when $50,000 is deposited for 2 years at an annual interest rate of 5.5% compounded monthly.

To calculate the interest earned on the account, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount (including interest)

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case, the principal amount (P) is $50,000, the annual interest rate (r) is 5.5% (or 0.055 as a decimal), the interest is compounded monthly (n = 12), and the money is left in the account for 2 years (t = 2).

Plugging these values into the formula, we have:

A = 50000(1 + 0.055/12)^(12*2)

Simplifying the equation, we get:

A = 50000(1 + 0.004583333333333333)^(24)

A = 50000(1.004583333333333333)^(24)

A = 50000(1.115010680047)

A = 55750.53400235

To find the interest earned, we subtract the principal amount from the final amount:

Interest = A - P

Interest = 55750.53400235 - 50000

Interest = 5750.53400235

Therefore, the interest earned on the account is $5,750.53 (rounded to two decimal places).

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What is x?

3/6=5.5/x

Answers

Answer:

x = 11

Step-by-step explanation:

3/6=5.5/x

Cross multiply.

3 * x = 6 * 5.5

x = 2 * 5.5

x = 11

the midpoints of the sides of a regular hexagon abcdef are joined in order to form a smaller regular hexagon. what fraction of the area of abcdef is enclosed by the smaller hexagon?

Answers

A regular hexagon can be divided into six equilateral triangles by drawing lines from the center of the hexagon to each of its vertices.

Each of these equilateral triangles has an area that is one-sixth of the total area of the regular hexagon.

When the midpoints of the sides of the regular hexagon are joined to form a smaller regular hexagon, it can be seen that the smaller hexagon is made up of six equilateral triangles, each of which has half the area of the equilateral triangles in the larger hexagon. This is because the sides of the smaller hexagon are half the length of the sides of the larger hexagon.

Therefore, the fraction of the area of the larger hexagon that is enclosed by the smaller hexagon is:

\(6 * (1/2)^2 = 6 * 1/4 = 3/2\)

This means that the smaller hexagon encloses 3/2 of the area of the larger hexagon.

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the midpoints of the sides of a regular hexagon abcdef are joined in order to form a smaller regular

Someone plz help me I will give brainliest

Someone plz help me I will give brainliest

Answers

Answer:

$33.81

Step-by-step explanation:

Strawberries = $2.49 Per Pound (Bought 3)

Blueberries = $3.19 Per Pound (Bought 2)

Pineapples = $4.99 Per Pound (Bought 4)

So we have to multiply each price with the number of fruits bought.

So, For Example, Strawberries: $2.49 × 3 = $7.47

After you did all three individually, add them all up.

Strawberries : $7.47

Blueberries : $6.38

Pineapple : $19.96

Total = $33.81

Hope This Helps!

The country of Sylvania has decided to reduce the number
3
of its illiterate citizens by
5 each year. This year there are
9000 illiterate people in the country.
Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today.

Answers

The functiοn that gives the number οf illiterate peοple in Sylvania is

\(\mathrm{P(t) = 9000(2/5)^t}\)

What are functiοns in mathematics?

A functiοn is defined as a relatiοn between a set οf inputs, each with an οutput. Simply put, a functiοn is a relatiοnship between inputs, each assοciated with exactly οne οutput. Each functiοn has a dοmain and cοdοmain οr scοpe.

Hοw tο identify relatiοn and functiοn?

Tο identify a functiοn frοm a relatiοn, check if any οf the x values are repeated. If it's nοt repeated, it's a functiοn. If the x values are repeated and the cοrrespοnding y values are different, it's nοt a functiοn but a relatiοn.

Sοlutiοn accοrding tο the questiοn:

Given, Tοtal number οf illiterate peοple = 9000

          Amοunt = 3/5

Fοr the first year = 9000 × (1 - 3/5) = 9000(2/5)

Nοw, fοr "t years":

P(t) = 9000(2/5)

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Find the value of x. *


Please help me.

Find the value of x. *Please help me.

Answers

Answer:

x=50

Step-by-step explanation

The two angles add up to 180, so 2x+4+76 = 180

2x+80=180

2x=100

x=50

10. at a pizza shop there is a deal going on that you can get a pizza for $3.00. you can choose thick or thin crust, red or white sauce, and one topping of either pepperoni, sausage, or vegetarian. create a tree diagram to display the sample space on your worksheet. how many total outcomes are there?

Answers

The number of total outcomes is 12.

Here is a tree diagram for the pizza options:

Copy code

     /  |  \

 Thick Thin

  /     |     \

Red White Red White

/  |  \   / |  \   / |  \

Pep Saus Veg Pep Saus Veg Pep Saus Veg

There are two (2) options for the crust, two (2) options for the sauce, and three (3) options for the topping. Therefore, the total number of outcomes is:

Total Outcomes = 2 (options for crust) x 2 (options for sauce) x 3 (options for topping)

Total Outcomes = 12

Therefore, there are 12 total outcomes.

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10. at a pizza shop there is a deal going on that you can get a pizza for $3.00. you can choose thick

A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a discrete quantitative variable that might be included in the brochure? number of seats type of transmission presence of a sunroof fuel efficiency (in mpg)

Answers

Answer:

The correct option is;

Number of seats

Step-by-step explanation:

A quantitative variable is a variable that has a numeric value used to describe the measured characteristic of an item

A discrete variables are countable variables within given finite amount of time

Therefore, a discrete quantitative is a countable variable that indicates the measured value of an item or feature'

In the question, the discrete quantitative variable that might be included in the brochure is Number of seats.

Answer: The number of seats

Step-by-step explanation: Because a discrete quantitative variable is a variable whose value is obtained by counting. you’re welcome:)

If a military person donates 15% blood for 10 dollars and the civilian person donates 23% for 20 dollars blood both people of color donate blood in Encinitas California 92007 by the 7-11 place. How much blood would they donate altogether please do not forget to do the math and please let me know how much is it

Answers

Altogether, they would donate a total of 380 milliliters of blood.

To calculate the total amount of blood donated by the military person and the civilian person, we need to determine the amount of blood donated by each individual and then sum them up. Let's go through the steps:

Calculate the amount of blood donated by the military person:

The military person donates 15% of their blood for 10 dollars. Since we don't have the specific measurement of their blood volume, we can assume a standard unit. Let's assume their total blood volume is 1 liter (1000 milliliters).

15% of 1000 milliliters = 0.15 * 1000 = 150 milliliters.

Calculate the amount of blood donated by the civilian person:

The civilian person donates 23% of their blood for 20 dollars. Using the same assumption of a blood volume of 1 liter (1000 milliliters):

23% of 1000 milliliters = 0.23 * 1000 = 230 milliliters.

Calculate the total amount of blood donated:

To find the total amount of blood donated, we sum up the amounts donated by the military person and the civilian person:

Total blood donated = 150 milliliters + 230 milliliters = 380 milliliters.

Therefore, altogether, they would donate a total of 380 milliliters of blood.

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What is the equation of this line?

A.) y=1/2x-2
B.) y=2x-2
C.) y=-1/2-2
D.) y=-2x-2

What is the equation of this line?A.) y=1/2x-2B.) y=2x-2C.) y=-1/2-2D.) y=-2x-2

Answers

I’m pretty sure A
Plug the x and y values to get it

Answer:

Plug the x and y values to get it

Step-by-step explanation:

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Successful sales people, according to the article what makes a good salesman will find a balance between _________ and empathy. How could it be in Arizona that a mixed-race person could not marry anyone? Hi please help me with this questionUsing the graph of f, determine f(4). how to determine whether the greedy algorithm works with a coinage system for the change making problem Compare and contrast the two groups of men in chapter 15.the group of men who knock on atticus's front doorthe group of men who come to see atticus at the jailhousehow are these groups the same? how are they different?write your response in 3 to 5 complete sentences Explain why 10 x 2 is equivalent to 10 1/2?? EGFRKd (nM)non-mutant50mutant 15mutant 2500Using 10nM of the non-mutant EGFR enzyme and 50uM of substrateyou find that V0=250nM/s. What is the Km of this reaction? A storage container measures 3 ft by 6 ft and is 5 ft high. What is the volume of this container in cubic yards? The volunteers at the animal shelter are drawing slips of paper from a hat to determine which day each volunteer will clean the litter boxes. When it is Odessa's turn to pull from the hat, there are 2 Wednesday slips, 8 Thursday slips, and 6 Friday slips remaining. What is the probability that Odessa will randomly draw a Wednesday slip? If the random variable x is distributed normally with a mean of zero and a standard deviation of one, which of the following probabilities is not correct? a. P(x < 2) = .9772 b. P(x 1) = .1587 c. P(x 1) = .8413 d. P(x = 0) = .50 What proportion can be used to find 65% of 90? Rx: Heparin 40 000 units in D5W 1000 mL Drug available: Heparin 10 000 units/mL 2 mL single-dose vial How much heparin solution would be injected into the D5W 1000-mL bag?A. 1 mlB. 2 mLC. 4 mLD. 8 mL6. With reference to question 5, how many heparin vials would be pulled from inventory to prepare the heparin infusion?A. 1B. 2C. 3D. 4 What number is the arrow pointing to? question 170.5 pts in the scenario where the central bank creates policies which increase the money supply but the aggregate demand is unchanged, is created by following what type of monetary policy? group of answer choices a balanced policy. a contractionary policy. an expansionary policy. Suppose that Portugal and Germany both produce oil and cheese. Portugal's opportunity cost of producing a pound of cheese is 3 barrels of oil while Germany's opportunity cost of producing a pound of cheese is 11 barrels of oil.By comparing the opportunity cost of producing cheese in the two countries, you can tell that has a comparative advantage in the production of cheese and has a comparative advantage in the production of oil.Suppose that Portugal and Germany consider trading cheese and oil with each other. Portugal can gain from specialization and trade as long as it receives more than of oil for each pound of cheese it exports to Germany. Similarly, Germany can gain from trade as long as it receives more than of cheese for each barrel of oil it exports to Portugal.Based on your answer to the last question, which of the following prices of trade (that is, price of cheese in terms of oil) would allow both Germany and Portugal to gain from trade? a. 7 barrels of oil per pound of cheeseb. 18 barrels of oil per pound of cheesec. 2 barrels of oil per pound of cheesed. 5 barrels of oil per pound of cheese What is the act of printing false information with the intention to harm a person? Exercise 2 Write D.O. above the direct objects and I.O. above the indirect objects.She brought us weather maps and other data. At the mall, Claire buys a hat that is 60% off and socks that are reduced to $5.49. She spends a total of $9.49. Let x represent the cost of the hat. why should a researcher keep accurate records while preforming a scientific experiment Ok help its for a grade I will give Brainly if right