The possible values of x ( in hours) will be less than four to achieve gains from trade .
Opportunity cost is what we have to sacrifice to achieve something. It is a very important concept in international trade, as it forms the basic criteria for opening a trade. For trade to take place there should be atleast comparative advantage in the production of a good by each country.
Produced item Germany France
Car 600 hours x hours
Wine 3 hours 4 hours
We have to calculate the value of "x"
Opportunity cost of a car for German worker
= 600/5 = 120 cases of wine
Opportunity cost of a wine for German worker
= 1/120 cars
Similarly, Opportunity cost of a car for Italian worker = 4/x cases of wine
Opportunity cost of wine for Italian worker
= x/4 car
A country has a comparative advantage when it can produce a good with a lower opportunity cost than another. To achieve the gains from trade, when the opportunity cost of a car for Italian worker is greater than german worker
4/x > 120 => x < 4/120 = 1/30 .
or in case of wine, x/4 < 1/120
=> x < 4/120 = 1/30
So, possible value of x is less than 4.
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Question 5 of 23
What is the slope-intercept equation of the line below?
A. y = 5x-2
B. y = -4/5x-2
C. y = 4/5x-2
D. y = 5x+2
The slope-intercept equation of the line below is C. y = 4/5x-2.
What is slope-intercept equation?Slope-intercept equation is a linear equation in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. It can be used to graph a line on a two-dimensional plane, and is used to calculate the rate of change (rise/run) between two points on the graph.
This slope-intercept equation can be determined by analyzing the given line. By looking at the graph, we can see that the slope of the line is 4/5, which means that the coefficient of x in the equation is 4/5. Additionally, the y-intercept is at -2, so the equation is y = 4/5x-2.
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a rectangle has a perimeter of 116 units if the length is 2 less than 5 times the width what’s the width
The width of rectangle is 10 units.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Perimeter of rectangle = 116 units
let the width be x.
then the length is 5x - 2.
so, Perimeter of rectangle = 116 units
2 (5x -2 + x)= 116
2(6x - 2) = 116
6x - 2 = 58
6x = 60
x= 10
So, the width is 10 units and length is 5(10)-2 = 48 units
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in the binary value 1002, what is the place value of the 1?
Answer: 4s place
Also could you mark my answer as brainliest? It helps and doesnt hurt
Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes eight hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?
The time required for the new guy to finish the car is given by the equation A = 10/3 hours = 3 1/3 hours
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the time required for the new guy to finish the car be A
Now , the equation will be
The total time worked by the two mechanics = 2 hours
The time for the 1st person to finish the car = 6 hours
So , the amount of work done in 2 hours by 1st person = 2/6 = 1/3 of total
The time for the 2nd person to finish the car = 8 hours
So , the amount of work done in 2 hours by 2nd person = 2/8 = 1/4 of total
And , the remaining work = 1 - ( 1/3 + 1/4 )
On simplifying the equation , we get
The remaining work = 1 - ( 7/12 ) = 5/12 of the work
Now , the time required for the 2nd person to complete 5/12 of the work =
A = 5/12 x 8
A = 5 x 2/3
A = 10/3
A = 3 1/3 hours = 3 hours and 20 minutes
Hence , the time required is 3 hours and 20 minutes
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what is the prior probability of the bid being successful (that is, prior to the request for additional information)
a)The prior probability of the bid being successful is 50%.
b) The conditional probability is 71%.
c) The posterior probability is 64.55%.
a) Prior Probability = P(B)
[tex]= \frac{Number of favourable outcomes for n event}{Total number of outcomes}[/tex]
= [tex]\frac{1}{2}[/tex]
= 0.5 = 50%
b) Conditional probability of a request for additional information given that the bid will ultimately be successful.
Conditional Probability = P(A|B)
= [tex]\frac{71}{100}[/tex]
= 0.71 = 71%
c) Posterior probability that the bid will be successful given a request for additional information.
P(B)=0.5
P(A|B) = 0.71
P(A) = P(B)P(AB) + P(B')P(AB)
P(A) = (0.5 * 0.71) + (0.5 * 0.39)
P(A) = 0.335 + 0.195
P(A) = 0.550
Posterior Probability = P(B|A)
[tex]= \frac{P(B) * P(B|A)}{P(A)}[/tex]
[tex]= \frac{0.5 * 0.71}{0.550}[/tex] = 0.6455 = 64.55%
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a) Find out the prior probability.
The complete question is:
A consulting firm submitted a bid for a large research project. The firm's management initially felt they had a 50-50 chance of getting the project. However, the agency to which the bid was submitted subsequently requested additional information on the bid. Past experience indicates that for 71% of the successful bids and 39% of the unsuccessful bids, the agency requested additional information.
a) What is the prior probability of the bid being successful (that is, prior to the request for additional information) (in decimals)?
b) What is the conditional probability of a request for additional information given that the bid will ultimately be successful (in decimals)?
c) Compute the posterior probability that the bid will be successful given a request for additional information (in decimals).
The figure on the right is an isometry of the figure on the left. Are their orientations the same or opposite? Which type of isometry is shown?
a. Opposite; Reflection
b. Opposite; Translation
c. Same; Rotation
d. Same; Glide Reflection
The type of isometry is shown, there are orientations with the same; rotation. The correct answer would be an option (C).
What is isometry?Any isometry in the plane is a miracle combination of a rotation, a reflection, and a translation. In three dimensions, the issue becomes a little more difficult since each isometry is a combination of a translation, a reflection, and a rotation about a particular axis.
The figure on the right is an isometry of the figure on the left.
As per the question,
The type of isometry is shown, there are orientations with the same and rotation.
Hence, the correct answer would be option (C).
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AB || CD and CD || EF. How long is the space dedicated to growing beans?
CARROTS
3 ft
C
CELERY
2 ft
6 ft
D
BEETS
F
BEANS
1. 5 ft
PEAS
ROSES
TOMATOES
A.
2 ft
B.
3 ft
C.
2. 5 ft
D. 4 ft
The space dedicated to growing beans is 4 ft.
"AB || CD" and "CD || EF" mean that lines AB and CD are parallel and lines CD and EF are parallel as well. Since lines AB and EF are parallel and the length of line CD is 6 ft, the length of line AB and line EF is also 6 ft.
From the information given, we can see that the space dedicated to growing beans is the distance between lines CD and EF.
We also know that the space dedicated to growing beets is 3ft, and the space dedicated to growing celery is 2ft.
Therefore, we can subtract 3ft + 2ft from 6ft to find the space dedicated to growing beans: 6ft - 3ft - 2ft = 4ft.
So the answer is 4ft.
Therefore, The space dedicated to growing beans is 4 ft.
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Micah saved $6 on a $40 pair on pants. ________
Which is a correct ordered pair using Sabah's function? *
O ($1125, $500)
O ($1250, $505)
O ($1300, $505)
O ($1600, $532)
Using Sabah's function, ($1125, $500) is the right ordered pair. It is not a function if any of the x values are the same, but this is not true if the y values are different.
What is a ordered pair function in math?A set of ordered pairs is not a function if an x value has more than one y value associated with it. For instance, in the relation (4, 1), (4, 2), the x-value of 4 has y-values of 1 and 2, indicating that this relation is not a function. The connection is a function if each x-value has a single corresponding y-value.
An ordered group of pairs makes up a relation (x, y). A pair that has two values stated in a specific order between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane. An ordered pair of numbers can have either fractional or integer values.
Therefore the correct answer is ($1125, $500) .
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What is the derivative of 7e to the 7x?
The derivative of 7e to the 7x is 7e to the 7x * 7ln(e) * 7. The derivative of 7e to the 7x can be found by first taking the natural logarithm of the base, in this case e7x.
1. Take the natural logarithm of the base: ln(e7x)
2. Take the derivative of the natural logarithm: 7x*ln(e)
3. Apply the chain rule: 7e7x * 7ln(e) * 7
The derivative of 7e to the 7x can be found by first taking the natural logarithm of the base, in this case e7x. The natural logarithm of e7x is ln(e7x). Taking the derivative of the natural logarithm yields 7x*ln(e). We then apply the chain rule to get the final result of 7e7x * 7ln(e) * 7. In other words, the derivative of 7e to the 7x is equal to 7 multiplied by e raised to the 7x power, multiplied by 7ln(e), and then multiplied by 7 once more. This can be simplified to 7e7x * 7ln(e)7.
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please please helpp!!
The value of 'n' in this right-angled triangle is n = 8.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles in a triangle is 180°.
Therefore, From the given information 3.4n + 9.2n - 10.8 = 90.
12.6n = 100.8
n = 100.8/12.6.
n = 8.
So, The value of n is 8.
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How do you find the distance between two points in 6th grade?
The distance between two given points x₁ and x₂ for the 6th grade can be calculated by :
a. If the points lie in the same quadrants then distance = | x₂ - x₁ |
b. If the points lie in the different quadrant then distance = |x₂| + |x₁|.
As given in the question,
The distance between the two given points can be calculated in the following way:
Let us consider two points in the coordinate plane whose one coordinate is constant be ( x₁, y) and ( x₂ , y ).
a. Distance between two points in the same quadrants is given by :
= | x₂ - x₁ |
b. Distance between two points in the different quadrants is given by :
= |x₂| + |x₁|
It is represented by absolute value as distance is always positive.
Therefore, the distance between two given points with one coordinate constant for the 6th grade is given by :
a. If the points lie in the same quadrants then distance = | x₂ - x₁ |
b. If the points lie in the different quadrant then distance = |x₂| + |x₁|.
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A model dinosaur is 6 feet tall. The scale used to make the model is 1 ft. = 7.5 ft. How tall is the real dinosaur? can someone explain it step by step please
45 feet is the height of the real dinosaur.
What is Scale?The ratio between a distance on a map and its actual distance on the ground is known as the map's scale. Since scale must vary throughout a map due to the curvature of the Earth's surface, this straightforward idea is made more difficult. This change makes the idea of size significant in two different ways.
Given, A model dinosaur is 6 feet tall. The scale used to make the model is 1 ft. = 7.5 ft.
Since the scale is 1 ft. = 7.5 ft
That means in the model 1 foot is equal to the real size of 7.5 feet
thus,
Real dinosaur's height = 6 * 7.5
Real dinosaur's height = 45 feet
Therefore, the Height of the real dinosaur is 45 feet.
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5. Find the product of:
a) -2x (4x²-5x - 3)
Answer:
-8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 6x
Step-by-step explanation:
What is teh value for the expression 6 + 9w - 5s when w = 7 and s = 2?
The value for the expression 6 + 9w - 5s is 59.
How do you locate the algebraic expression?You must substitute a number for each variable and carry out the arithmetic procedures to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the case above equals 6. If we are aware of the values of our variables, we can replace the variables with those values before evaluating the expression.
When the variables and constants of an expression are given values, the outcome of the computation it describes yields the expression's value. The quantity that the function assumes for these argument values is the value of the function, given the value(s) assigned to its argument(s).
The expression 6 + 9w - 5s when w = 7 and s = 2.
6 +(9*7 - 5*2) = 6+63 - 10 = 59.
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if 12 labor takes 20 days to dig a land. in how many days 8 labor can dig the same land? calculate
Answer: 30 days
Explanation: 12 x 20 = k, where k is a constant. 8x = k, where x is the number of days. So 12 x 20 = 8x, 8x = 240, x = 30 (30 days).
LOTS OF POINTS
The zero of a quadratic function is . What does this tell you about the graph of this quadratic function?
A The parabola touches the x-axis in one place,x=-1/2 .
B The parabola crosses the x-axis in two places, x=-1/2 and x=1/2
C The parabola touches the x-axis at the origin.
D The parabola crosses the x-axis at x=-1/2 . You can substitute this value into the quadratic function to find the location of the other zero.
Answer: I'm pretty sure the the answer is B I had a question like this and my answer was b
Step-by-step explanation: if not I am soo sorry
Ricardo is creating a budget for himself to set goals on how much money he wants to save. At his current job, he makes $1,000 per week, and spends $300 each week on his expenses. If he wants to save a total of at least $30,800, how many weeks at minimum does he have to work for in order to reach his goal?
Ricardo has to save for a minimum of 44 weeks.
What is savings?For the salary earner, the way of savings is the way that he or she may be able to achieve the gals of life. In the case of the question that we have here, at his current job, he makes $1,000 per week, and spends $300 each week on his expenses.
The target amount that he wants to save is $30,800.
Total income per week = $1,000
Expenses per week = $300
Amount saved per week = $700
To save $30,800;
700n = $30,800
n = Number of weeks
n = $30,800/700
n = 44 weeks
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x-5(x-1)=x(-2x3) solve the equation
Answer:
x-5(x-1)=x(-2x3)
x-5x+5=-5x
-4x+5=-5x
-4x+5-5=-5x-5
-4x+5x=-5x+5x-5
x= -5Step-by-step explanation:
How is log x calculated?
Log x is calculated by taking the logarithm of x, usually with base 10, which is written as log10(x). This is done by using a calculator or a computer program.
1. Choose a base for your logarithm, usually base 10.
2. Type in the equation log10(x) into the calculator or computer program.
3. Enter the number x into the equation in place of the variable.
4. Hit the “enter” or “calculate” button to find the logarithm of x.
Log x is calculated by taking the logarithm of x, usually with base 10, which is written as log10(x). This is done by using a calculator or a computer program.
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pls help me with this
-9x+5=-9x-1+6 is the equation which has no solution.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is -7x+2x+5-4x=_x+6
Add the variable on left hand side
Minus seven times of x plus two times of x plus five minus four times of x equal to x plus six.
-9x+5=-9x-1+6
Hence, -9x+5=-9x-1+6 is the equation which has no solution.
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"55 miles per hour" translated
55 miles per hour is equivalent to 24.6992 meters per second.
Translate milles to meter / second?
To convert miles per hour (mph) to meters per second (m/s), you can use the conversion factor 1 mile = 1609.34 meters.
To convert miles per hour (mph) to meters per second (m/s), you can use the conversion factor 1 mph = 0.44704 m/s.
So to convert 55 mph to m/s, you can multiply 55 by 0.44704:
55 mph * 0.44704 m/s/mph = 24.6992 m/s
Therefore, 55 miles per hour is equivalent to 24.6992 meters per second.
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How do you find the area of an l angle?
A compound shape is a shape that is made up of other simple shapes. In this article, we will be working out the area of an L shape (made up of two rectangles). To find the area of a compound shape, follow these simple steps:
Step 1: Work out the missing lengths around the edge of the compound shape.
Step 2: Divide your L shape into two rectangles. This can be done in 2 different ways (both methods will give the same answer).
Step 3: Work out the area of each rectangle. Do this by multiplying the base of the rectangle by the height of the rectangle.
Step 4: Add the areas of the rectangles together to give the total area of the L shape.
Complete question: How do you find the area of an L angle?
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How do you graph natural log equations?
To graph natural log equations, first find the y-intercept for the equation. Then, find any asymptotes or solutions by setting the equation equal to 0. Next, find the domain and range and plot any points that it intersects with. Finally, draw the graph of the equation.
1. Find the y-intercept: Set the equation equal to 0 and solve for y.
2. Find any asymptotes or solutions: Set the equation equal to 0 and solve for x.
3. Find the domain and range: The domain is all real numbers and the range is all real numbers greater than or equal to the y-intercept.
4. Plot any points of intersection: Use the values found in step 2 to plot points on the graph.
5. Draw the graph: Connect the points to form a continuous line.
To graph natural log equations, first find the y-intercept for the equation. Then, find any asymptotes or solutions by setting the equation equal to 0. Next, find the domain and range and plot any points that it intersects with. Finally, draw the graph of the equation.
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Lune bought a bag of grapefruit, 1 5/8 of apples, and 2 3/16 pounds of bananas. The total weight of her purchases was 7 1/2 pounds. How many did the bag of grapefruit weigh?
Answer: 3 11/16 pounds
Step-by-step explanation:
7 1/2 - 1 5/8 - 2 3/16 = 4 1/2 - 5/8 - 3/16 = 4 8/16 - 10/16 - 3/16 = 72/16 - 13/16 = 59/16 pounds = 3 11/16 pounds
What happens to the parent graph, y= square root X when the equation is changed to y=-(square root X+1) select all that apply
When the parent graph of the equation, y = √x is changed to y = -√x + 1, the following statements are true:
B. shift down one unit.
C. reflect over the x-axis.
What is a translation?In Mathematics, the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or function.
Next, we would translate the parent graph of the equation down by one unit;
y = √x - (k)
y = √x - (-1)
y = √x + 1
What is a reflection?In Geometry, a reflection over the x-axis is given by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.
Lastly, we would apply a reflection over the y-axis;
(x, y) → (x, -y)
y = -(√x + 1)
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I need help solving this
Answer:
the answer is in the picture
Imani
spent half of her weekly allowance
playing mini-golf. To earn more money her
parents let her wash the car for $4. What is
her weekly allowance if she ended with
$12? And use a equation
simplifying yields 1/2 * x + 4 = 12. In order to achieve 1/2 * x = 8, take 4 off of both sides of the equation. To obtain x = 16, solve for x. 16 dollars were her weekly salary.
How to find the calculation?Equivalent equations are algebraic equations that are having identical roots or solutions.
x equals a weekly stipend.
Mini-golf is where she spends half her time.
She paid her parents four bucks to wash the car.
Her final earnings were $12.
x - 1/2 * x + 4 = 12
simplifying yields 1/2 * x + 4 = 12.
In order to achieve 1/2 * x = 8, take 4 off of both sides of the equation.
To obtain x = 16, solve for x.
16 dollars were her weekly salary.
Eight were left after she spent half on mini-golf.
She had four from her folks to wash the car.
After everything, she was left with 12.
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Which type of polynomial is x² 9x 20?
The answer to the polynomial x^2 + 9x + 20 is x^2 + 9x + 20.
This is a second-degree polynomial, which is a polynomial with the highest power of the variable being 2. It is written in the standard form as ax^2 + bx + c, where a, b, and c are coefficients, and x is a variable. In this case, a = 1, b = 9, and c = 20.
To calculate this polynomial , we first substitute each value into the formula:
1x^2 + 9x + 20
Next, we multiply each coefficient with its corresponding variable:
1(x^2) + 9(x) + 20
Finally, we expand the terms and add them together to find the sum:
x^2 + 9x + 20
The answer to the polynomial x^2 + 9x + 20 is x^2 + 9x + 20.
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Rectangles have the following properties:
(pick all that apply)
Multiple select question.
A)
Diagonals are congruent
B)
Opposite angles are congruent
C)
Adjacent sides are parallel
D)
All 4 angles are 90 degrees
E)
Opposite sides are congruent
F)
Consecutive angles add to 360 degrees
G)
Cannot be a parallelogram
Rectangles have the following properties:
The diagonals are congruent Opposite sides are congruentAll 4 angles are 90 degreesWhat are the properties of Rectangles?A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
A rectangle's opposite sides are the same length (congruent). A rectangle's angles are all congruent (the same size and measure.) The term "right angle" refers to an angle that is 90 degrees or more. A rectangle therefore has four right angles. A rectangle's opposing angles are congruent.
Therefore, options A, B, D , are correct.
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