It should be noted that given the production costs and efficiency of the two countries, it is clear that Country A has a comparative advantage in producing product B, while Country B has a comparative advantage in producing product A.
How to explain the comparative advantageBy specializing in the production of the goods in which they have a comparative advantage, both countries can increase their total output and potentially benefit from trade.
For Country A, the opportunity cost of producing one unit of product A is 1.5 units of product B (i.e., it could produce 1 unit of product A or 1.5 units of product B with the same resources). Therefore, as long as the price of product A is greater than 1.5Y, it would be better for Country A to specialize in the production of product B and trade for product A.
Similarly, for Country B, the opportunity cost of producing one unit of product B is 0.5 units of product A (i.e., it could produce 1 unit of product B or 0.5 units of product A with the same resources). Therefore, as long as the price of product B is less than 0.5X, it would be better for Country B to specialize in the production of product A and trade for product B.
Given these constraints, we can determine a range of prices at which trade would be mutually beneficial. For example, if the price of product A is set at $3.00 and the price of product B is set at $1.50, then Country A would specialize in producing 30 units of product B (using all of its resources), while Country B would specialize in producing 18 units of product A (using all of its resources). They would then trade 18 units of product A for 27 units of product B, resulting in a total output of:
Country A: 27 units of product B
Country B: 18 units of product A
This represents an increase in total output for both countries, compared to the situation where they do not trade. Country A gains an additional 12 units of product A (compared to producing everything itself), while Country B gains an additional 9 units of product B. Both countries are better off as a result of the trade.
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Please help fast!!!!!!!
Answer: 156.38 m
Step-by-step explanation:
Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)
Will give brainliest
Answer:
-5
Step-by-step explanation:
y (4) need to times 2.5 to be 10
so, x (-2) needs to times 2.5 to be the answer
-2 * 2.5 = -5
An item marked at Dhs.840 is sold for Dhs.756. What is the discount %? a 84% b 20% c 10%
Answer:
Dos. 84
Step-by-step explanation:
840 - 756 = 84
What percent is 84 of 849
x/100 = 84/840. (x/%=is/of)
(84 * 100)/840 (Cross multiplication)
= 84
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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Can someone please provide a step-by-step explanation for the answer?
If the universe of discourse is the real numbers, give the truth value of each of the
following propositions:
(a) ∀x∃y(x = y²)
(b) ∀x∃y(x² = y)
(c) ∃x∀y(xy = 0)
(d) ∀x∃y(x + y = 1)
The Propositions are resulting
(a) ∀x∃y(x = y²) is False
(b) ∀x∃y(x² = y) is True.
(c) ∃x∀y(xy = 0) is True.
(d) ∀x∃y(x + y = 1) is True.
(a) ∀x∃y(x = y²)
This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².
Therefore, the proposition (a) is false.
(b) ∀x∃y(x² = y)
For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.
Therefore, the proposition (b) is true.
(c) ∃x∀y(xy = 0)
The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.
Therefore, the proposition (c) is true.
(d) ∀x∃y(x + y = 1)
To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.
Therefore, the proposition (d) is true.
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explanation needed i do not undersatnd whats being calculated here
Demonstrate the deference types of equipment that can be used to introduce numeracy to young children
Introducing numeracy to young children can be done through various types of equipment and resources that engage their senses and make learning math concepts more interactive and enjoyable.
Here are some different types of equipment commonly used to introduce numeracy to young children:
Counting blocks: Colorful blocks that children can use to physically count and group numbers.Number rods: Wooden rods or bars of different lengths that help children understand number values and comparisons.Counting bears: Small bear-shaped counters that children can use for counting, sorting, and basic addition and subtraction.Number puzzles: Jigsaw puzzles or manipulative puzzles with numbers, helping children recognize and order numerals.Math storybooks: Books that incorporate mathematical concepts into stories, making math more relatable and enjoyable for children.Picture books with numeracy themes: Books that use illustrations and visuals to introduce and reinforce numeracy concepts.Thus, by incorporating a variety of equipment and resources, educators and parents can create a rich learning environment that supports children's numeracy development and fosters a positive attitude towards math.
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Which values from the given replacement set make up the solution set of this inequality?
5m≤10; {0, 2, 4, 6}
{0, 4, 6}
{2}
{0, 2}
{2, 4, 6}
Answer:
the solution to the inequality is m\(\leq\) 2, so the solution set can include 2 and 0 since it is less then 2. but the rest do not work. so the answer is {0,2}
Step-by-step explanation:
5m\(\leq\)10
divide by 5 on both sides and you are left with
m\(\leq\)2
only 2 and 0 are less than or equal to 2
Hope this helps!
please help !!!
im CONFUSED OwO
Answer:
12,0 is the y intercept
-4,0 is the x intercept
Step-by-step explanation:
Answer:
The y-intercept is 12, which means it goes through the y-axis at (0, 12)
Step-by-step explanation:
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
A Certain sum of money of simple
interest amount to $$1,300 ire 4 years
and to #11525 in 7 years - Find
the sum and the rate percent
The required rate of simple interest is 1.75%.
Here, we have,
(Principal + Interest) is a straightforward interest equation.
A = P(1 + rt)
Where: A is the sum of the accrued principal and interest.
Principal Amount is P.
I is the interest rate.
r is the annual percentage rate of interest, or R/100.
R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.
Since I = Prt,
the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,
which may be represented as A = P(1 + rt).
Given: Principal is $1,300
Rate is 7% and the amount earned that is A-P is $159.25.
A = P(1 + rt)
Therefore substituting the values in the above mentioned equation, we get:
159.25= 1300(1+r×7)
On solving we get,
r= 1.75%
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complete question:
At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.
What rate of simple interest is offered at the
Blue Bank?
Which of the following should come next at the end of this row of letters? XOOOOXXOOOXXX:
a. oxxx, b. ooxx, c. xooo
Answer:
b
Step-by-step explanation:
The correct option that should come next at the end of this row of letters is OOXX.
What is a sequence?A sequence can be defined as an arrangement of letters or numbers in a particular manner.
If you look at the given sequence it can be seen as the set of 5 letters where X is starting the set while O is ending the series. Also, the number of X will tend to increase in the next set as well while the number of O will be reduced. Therefore, the series can be seen as,
XOOOO XXOOO XXXOO XXXXO
Thus, the correct option that should come next at the end of this row of letters is OOXX.
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there's 240 candy bars 1/4 of candy bars are snickers 1/3 of the candy bars are twix 1/8 of the candy bars are hershey. how many candy bars are Mars? explain not with a lot of words but in numbers please.
Answer:
you have to add all the fractions of the candy1/4+1/3+1/8
=17/24
subtract from 1Step-by-step explanation:
1-17/24
=7/24
multiply with the total number of candy7/24×240
=70
please help a brother out
Answer:
Plot points (4, -1), (1, -3), (1, -4), and (4, -4)
Step-by-step explanation:
All you had to do was change the negative signs to a positive sign.
Is 2.845 seconds faster than 2.835 seconds?
Answer:
No, the opposite.
Step-by-step explanation:
Because if you take out the decimal and see which one is less, btw less is faster, then 2.835 is faster.
How to simplify this:
Arcctg(tg(x) )
The expression arcctg(tg(x)) simplifies to arcctg(tan(x)).
To simplify the expression arcctg(tg(x)), we can apply trigonometric identities and properties.
The function arcctg(x) is the inverse cotangent function, which is the angle whose cotangent is x. Similarly, tg(x) represents the tangent function.
First, let's simplify the expression inside the arcctg function, which is tg(x):
tg(x) = sin(x) / cos(x)
Now, we can substitute this value into the original expression:
arcctg(tg(x)) = arcctg(sin(x) / cos(x))
Using the property of inverse trigonometric functions, we can rewrite this as:
arcctg(sin(x) / cos(x)) = arcctg(1 / tan(x))
Now, we can simplify further using the identity:
1 / tan(x) = cot(x)
Therefore:
arcctg(1 / tan(x)) = arcctg(cot(x))
Using another identity, we know that the cotangent function is the reciprocal of the tangent function:
cot(x) = 1 / tan(x)
Therefore, we can simplify the expression to:
arcctg(cot(x)) = arcctg(1 / tan(x)) = arcctg(tan(x))
Finally, we arrive at the simplified expression:
arcctg(tg(x)) = arcctg(tan(x))
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The local toy store has a bin of toy vehicles for sale. The bin holds b bikes and c cars. If the store sells the vehicles in the bin, which expression represents the number of vehicles remaining in the bin?
Answer:
1/3b+1/3c
Step-by-step explanation:
Simplify 36n^7p^5/9n^4p
The social media account for one store has approximately 10,000 followers. The marketing team consists of 20 of those followers. The team uses the equation y = 10,000/1 + 499 e^0.0455x to predict how many followers have seen the post depending on the number of minutes since it was posted. Approximately how long can the team expect it to take to reach 3,850 followers?
Answer:
125 minutes
Step-by-step explanation:
got it right on edge
Answer:
B. 125 minutes
Step-by-step explanation:
edge 2020
problem solving with fractions and percentages- can someone solve this please
maria received her exam results and achieved 78% in art, 19/25 in english, and 32/40 in maths. in which exam did sh e achieve the highest result ?
Answer:
The math exam.
Step-by-step explanation:
Ir order to compare all these scores, let's convert them to the relative form (a percentage).
Art one is easy, since it's given by the problem: 78%.
English score percentage will be given by this operation: (19/25)=0.76= 76%.
Math is the same concept as in English, 32/40= 0.8= 80%.
Now, compare the 3 results:
Art: 78%.
English: 76%.
Math: 80%.
The math exam was was the one where Maria received the highest score out of the 3 tests.
a rectangle has an area of 186m2
one of the sides is 3m in length
work out the perimeter of the rectangle
seriously need help
Step-by-step explanation:
here is the ans
the perimeter= 130m
hope so this might help you
Test Scores in Relation to Homework Hours of Homework (a) Is the relationship linear or not linear? Justify your response. (b) Is the relationship increasing or decreasing? (c) What is the domain and range of the data set? (d) Draw a line of best fit, and find the slope of that line.
The relationship is linear
It is an increasing functionThe slope is approximately 8Part (a) and (b): The relationship typeThe complete question and the line of best fit are added as an attachemnt
From the question, we have the following parameters that can be used in our computation:
The image of the scatter plot
On the scatter plot, we can see that
The points appear to be on a straight line
Also, we can see that
As the x values increases the y values decreases
This represents a decreasing linear association.
The domain and the rangeFrom the graph, we can see that the x and the y values are positive
So, the domain is x > 0 and the range is y > 0
The line of best fitSee attachment for the line of best fit
Using the points on the line, we have
Slope ≈ (30 - 70)/(0 - 5)
Slope ≈ 8
Hence, the slope is approximately 8
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Julian and two of his friends are going to share 1/4 of a pizza how much will each person get
Answer:
2
Step-by-step explanation:
because
the pizza will be shared according to the total number of people zo
1/4×2=2
Answer:
it is b
Step-by-step explanation:
just try halfing it
please help me on this
Answer:
Check pdf
Step-by-step explanation:
HELP PLEASE IM BEGGING YOU
Which equation is a point slope form equation for line AB?
Oy-3=2(x - 2)
Oy-6=2(x - 5)
Oy-5=2(x - 6)
Oy+2=2(x+3)
Answer:
y-6=2(x-5)
I hope this is good enough:
I need help on this question
Translate this expression in words 4x
Answer:
Four and some number
Hope this helped. Good luck!! x
Which Of The Following Numbers Could Not Be A Value For R, The Correlation Coefficient? 0 -1.645 -1 0.001
Since the correlation coefficient is always between -1 and 1 and only -1.645 is not between -1 and 1. Hence, option B is the correct answer to this question.
The correlation coefficient is always between -1 and 1.
The value of r should be between -1 and 1.
so, -1<= r <= 1.
1=1
1.645 > 1
-k = 0 < 1
-1 = -1
-1 < 0.001 < 1
-1 < -0.751 < 1
Only -1.645 is not between -1 and 1.
So, we can say that -1.645 could not be a value for r.
Hence, the correct option is -1.645.
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Which statement must be added to the given to keep this proof valid?
A. JL ⊥ LM
B. KN ⊥ LM
C. JL || LM
D. KN || LM
A statement that must be added to the given to keep this proof valid include the following: D. KN || LM.
What are parallel lines?In Mathematics, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the basic proportionality theorem?In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.
Based on the basic proportionality theorem, we know that line segment KN is parallel to line segment LM.
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PLS HELP ME
Using the digits 1 - 9, at most one time each, create an improper fraction and a mixed number that are equivalent.
You can click on the colored dots to move the numbers into the spaces.
Record your answer in the space below.
Hint: Your mixed number does not need to be in the simplest form
Using the digits 1 - 9, at most one time each, to create an improper fraction and an equivalent mixed number is as follows:
Improper Fraction Equivalent Mixed Number
9/2 4¹/₂ (9 divided by 2 = 4 remainder 1)
8/3 2²/₃ (8 divided by 3 = 2 remainder 2)
7/4 1³/₄ (7 divided by 4 = 1 remainder 3)
6/5 1¹/₅ (6 divided by 5 = 1 remainder 1)
What is an improper fraction?An improper fraction is a fraction whose numerator is greater than its denominator.
What is a mixed number?A mixed number is a number made up of a whole number and a proper fraction. A proper fraction has the numerator fewer than the denominator.
An improper fraction can be converted to a mixed number and vice versa.
To convert mixed numbers to improper fractions, multiply the whole number by the denominator, and add the numerator.
To convert an improper fraction to a mixed number, divide the numerator by the denominator, and write down the whole number and the remainder as a fraction.
Thus, we have used the digits 1 - 9 at most once to create an improper fraction and an equivalent mixed number.
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