Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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which equation represents the slope intercept form of the line when the y intercept is (0,-6) and the slope is -5
The values into the slope-intercept form, we have y = -5x - 6
The slope-intercept form of a linear equation is given by:
y = mx + b
where 'm' represents the slope of the line, and 'b' represents the y-intercept.
In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).
The slope is given as -5.
Therefore, substituting the values into the slope-intercept form, we have:
y = -5x - 6
This equation represents the line with a y-intercept of (0, -6) and a slope of -5.
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Integrate e^(1-3x) dx with upper limit 1 and lower limit-1
After getting the integration [tex]e^{(1-3x)} dx[/tex] with upper-limit 1 and lower-limit -1, we get [tex]\frac{-1}{3}[e^{-2}-e^{4}][/tex]
We know,
[tex]\int\limits^a_{b} {f(x)} \, dx[/tex] = [tex][F(x)]\limits^a_b[/tex]=F(a)- F(b).
Where,
a⇒Upper limit.
b⇒Lower limit,
f(x)⇒Any function of x.
F(x)⇒ [tex]\int {f(x)}[/tex] gives its antiderivative F(x).
Now here,
a is given as +1, and b is given as -1.
f(x)= [tex]e^{(1-3x)}[/tex].
Suppose, 1-3x =t.
∴ -3dx =dt.[By applying derivative rule]
Now,[tex]\int\limits e^{(1-3x)} dx[/tex]
=[tex]\int e^t.(\frac{-1}{3} ) dt[/tex]
=[tex]-\frac{1}{3} \int {e^t} dt[/tex].
=[tex]-\frac{e^t}{3}dt[/tex]
=[tex]\frac{1}{3}e^{(1-3x)}[/tex]
∴,[tex]\int\limits e^{(1-3x)} dx[/tex] =[tex]\frac{1}{3}e^{(1-3x)}[/tex].
So,[tex]\int\limits^1_{-1} e^{(1-3x)} \, dx[/tex]
=- [tex][\frac{1}{3}e^{(1-3x)}]^1_{-1}[/tex]
=[tex]\frac{-1}{3}[e^{(1-3)}-e^{(1+3)}][/tex]
=[tex]\frac{-1}{3}[e^{-2}-e^{4}][/tex]
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3. In ∆ JAM, which of the following statement is always TRUE?
The option that shows the missing angles in the triangle is:
Option C: m∠1 < m∠4
How to identify the missing angle?We know that the sum of angles in a triangle is 180 degrees.
Therefore looking at the given triangle, we can say that:
m∠1 + m∠2 + m∠3 = 180°
We also know that the sum of angles on a straight line is 180 degrees and as such we can say that:
m∠3 + m∠4 = 180°
By substitution we can say that:
m∠4 = m∠1 + m∠2
Thus:
m∠1 < m∠4
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The missing options are:
m∠1 > m∠4
m∠2 > m∠4
m∠1 < m∠4
m∠3 = m∠4
1
Select the correct answer.
The surface area of a cone is 250 square centimeters. The height of the cone is double the length of its radius.
What is the height of the cone to the nearest centimeter?
O A.
OB.
O C.
10 centimeters
15 centimeters
5 centimeters
OD. 20 centimeters
Reset
Next
Answer:
D. 20 centimetersStep-by-step explanation:
Surface area of a cone = surface area of a circle = pi r^2
250 = pi r^2
[tex]r = \sqrt{ \frac{250}{2} } = 5 \sqrt{5} \: cm[/tex]
Because the height (h) of the cone is double the length of its radius
Then
h = 2r
[tex]h \: = 2 \times 5 \sqrt{5} = 10 \sqrt{5} = 22.36 \: cm[/tex]
So it'll equal approximate 20 cmthe drawing shows an isosceles triangle
40 degrees
can you find the size of a
Angle "a" in the given isosceles triangle is 40 degrees.
To find the size of angle "a" in the isosceles triangle with a 40-degree angle, we can use the properties of isosceles triangles. In an isosceles triangle, the two equal sides are opposite the two equal angles.
Since the given angle is 40 degrees, we know that the other two angles in the triangle are also equal. Let's call these angles "b" and "c." Therefore, we have:
b = c
Since the sum of the angles in a triangle is always 180 degrees, we can write the equation:
40 + b + c = 180
Since b = c, we can rewrite the equation as:
40 + b + b = 180
Combining like terms, we have:
2b + 40 = 180
Subtracting 40 from both sides, we get:
2b = 140
Dividing both sides by 2, we find:
b = 70
Therefore, both angles "b" and "c" are 70 degrees.
Now, we can find angle "a" by subtracting the sum of angles "b" and "c" from 180 degrees:
a = 180 - (b + c)
= 180 - (70 + 70)
= 180 - 140
= 40
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NO LINKS!! URGENT HELP PLEASE!!
a. Discuss the association.
b. Predict the amount of disposable income for the year 2000.
c. The actual disposable income for 2000 was $8,128 billion. What does this tell you about your model?
Answer:
a) See below.
b) $911 billion
c) See below.
Step-by-step explanation:
Linear regression is a statistical technique used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to the observed data.
It estimates the slope and y-intercept of a straight line that minimizes the overall distance between the observed data points and the predicted values. The linear regression equation is y = ax + b.
Part aThe association between year and amount of disposable income is indicated by the linear regression equation y = ax + b.
The value of a is the slope of the linear regression line, and represents the average rate of change in disposable income per year. As a = 14.0545, it means that the disposable income increases by approximately $14.0545 billion dollars each year.
As the value of r (correlation coefficient) is very close to +1, it indicates a very strong positive linear correlation between the year and disposable income. This suggests that as the years progress, the disposable income tends to increase.
Part bLinear regression equation:
[tex]\boxed{y=14.05454545x-27198}[/tex]
To predict the amount of disposable income for the year 2000, we can substitute x = 2000 into the linear regression equation:
[tex]y = 14.05454545 \cdot 2000 - 27198[/tex]
[tex]y=28109.0909...-27198[/tex]
[tex]y=911.0909...[/tex]
[tex]y=911[/tex]
Therefore, the predicted amount of disposable income for the year 2000 is approximately $911 billion.
Part cThe predicted value of $911 billion for the year 2000 is significantly lower than the actual value of $8128 billion. This implies that the model is not accurately capturing the increasing trend in disposable income over time, leading to an underestimation of the income level in 2000. This suggests that the model may have limitations or inaccuracies when extrapolating beyond the range of the provided data. It indicates the need for caution and further analysis when using the model to make predictions outside of the given timeframe.
I need help , any of u guys have the answer?
How do I find GBA and show all the work
Answer:
Angle ACB = 44°
There are two ways to solve it. Both are right
Solution number 1
From triangle ABC
angle BAC = 180°-(102° +44°) = 36°
Because BG is parallel with AC
Then angle GBA = angle BAC = 34°Another solution
The sum of angles in the shape AGBC = 360°
So angle GBC = 360 - (90 + 90 + 44 + 102) = 34°Point C has the same y-coordinate as point B and the distance between point B and point C is equal to
the distance between point C and the y-axis. Point A has the same x-coordinate as point C and the
distance between point A and point C is twice the distance between point B and point C.
What is one possible location of point A?
How many possible locations are there for point A?
12
A?
We can conclude that point A is located at the origin (0, 0).
There is only one possible location for point A is at the origin.
Let's revisit the given information to determine the possible location of point A.
Point C has the same y-coordinate as point B.
This means that the y-coordinate of point C is equal to the y-coordinate of point B.
The distance between point B and point C is equal to the distance between point C and the y-axis.
Let's assume the distance between point B and point C is represented by "d".
According to the information given, the distance between point C and the y-axis is also "d".
Point A has the same x-coordinate as point C.
This implies that the x-coordinate of point A is equal to the x-coordinate of point C.
The distance between point A and point C is twice the distance between point B and point C.
Let's assume the distance between point B and point C is represented by "d".
According to the information given, the distance between point A and point C is 2d.
Based on this information, we can analyze the relationships between the points:
Since the distance between point B and point C is equal to the distance between point C and the y-axis, we can infer that point B lies on the y-axis.
The x-coordinate of point B is 0.
As point C has the same y-coordinate as point B, the y-coordinate of point C is also determined to be the same as the y-coordinate of point B.
Since point A has the same x-coordinate as point C, the x-coordinate of point A will also be 0.
The distance between point A and point C is twice the distance between point B and point C.
As the distance between point B and point C is "d", the distance between point A and point C is 2d.
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help me please. identify the errors in the proposed proofs
The errors in the proposed statement to prove by contradiction that 3·√2 - 7 is an irrational number, is the option;
To apply the definition of rational, a and b must be integersWhat is proving by contradiction?Proving by contradiction is an indirect method of proving a fact or a reductio ad absurdum, which is a method of proving a statement by the assumption that the opposite of the statement is true, then showing that a contradiction is obtained from the assumption.
The definition of rational numbers are numbers that can be expressed in the form a/b, where a and b are integers
The assumption that 3·√2 - 7 is a rational number indicates that we get;
3·√2 - 7 = a/b, where a and b are integers
Therefore, the error in the method used to prove that 3·√2 - 7 is an irrational number is the option; To apply the definition of rational, a and b must be integers. This is so as the value 3·√2 - 7 is a real number, which is also an irrational number, thereby contradicting the supposition.
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how to draw the 6th term .
To draw the 6th term, represent it visually within the context of the pattern or sequence from which it is derived.
To draw the 6th term, we need to understand the context or pattern from which the term is derived.
Drawing the term usually involves representing the elements or characteristics of the pattern in a visual form.
Without specific information about the pattern, we can provide a general approach to drawing the 6th term.
Identify the Pattern:
Determine the sequence or pattern from which the 6th term is derived.
It could be a numerical sequence, a geometric pattern, or any other pattern.
For example, if the pattern is a number sequence of multiples of 3, the first few terms would be 3, 6, 9, 12, 15, and so on.
Visualize the Pattern: Based on the identified pattern, visualize how the elements change or progress from term to term.
This could involve drawing a diagram, a graph, or any visual representation that captures the pattern.
Consider using a coordinate grid, a number line, or any other suitable visual aid.
Locate the 6th Term:
Use the information from the pattern and the visualization to determine the specific position or value of the 6th term.
In our example of multiples of 3, the 6th term would be 18.
Draw the 6th Term: Finally, represent the 6th term in your chosen visual form.
This could mean marking the position on a number line, plotting a point on a graph, or incorporating the value into a diagram.
Note that the specific method of drawing the 6th term will depend on the nature of the pattern and the context in which it is given.
Providing more details about the pattern would allow for a more accurate and specific visual representation of the 6th term.
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Which statement about rectangles is true?
1. Only some rectangles are parallelograms.
2. Parallelograms have exactly 1 pair of parallel sides.
3. So, only some rectangles have exactly 1 pair of parallel sides.
1. All rectangles are parallelograms.
2. Parallelograms have 2 pairs of parallel sides.
3. So, all rectangles have 2 pairs of parallel sides.
1. Only some rectangles are parallelograms.
2. Parallelograms have 2 pairs of parallel sides.
3. So, only some rectangles have 2 pairs of parallel sides.
1. All rectangles are parallelograms.
2. Parallelograms have exactly 1 pair of parallel sides.
3. So, all rectangles have exactly 1 pair of parallel sides.
The correct statement about rectangles is:
1. All rectangles are parallelograms.
2. Parallelograms have exactly 1 pair of parallel sides.
3. So, all rectangles have exactly 1 pair of parallel sides.
A rectangle is a type of parallelogram that has additional properties. By definition, a rectangle is a quadrilateral with four right angles. This means that opposite sides of a rectangle are parallel. Since all four sides of a rectangle are right angles, it follows that a rectangle has exactly 1 pair of parallel sides.
Option 1 states that only some rectangles are parallelograms, which is incorrect. All rectangles are parallelograms because they have opposite sides that are parallel.
Option 2 states that parallelograms have 2 pairs of parallel sides, which is also incorrect. Parallelograms have exactly 2 pairs of parallel sides, not 4. A rectangle is a special type of parallelogram that has additional properties such as all angles being right angles.
Option 3 states that only some rectangles have 2 pairs of parallel sides, which is incorrect. All rectangles have exactly 1 pair of parallel sides, not 2. Having 2 pairs of parallel sides would make a shape a parallelogram, not a rectangle.
Therefore, the correct statement is that all rectangles are parallelograms and have exactly 1 pair of parallel sides. 1,2,3 are correct.
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PLSSS HELP 13 POINTS
The equation of the line perpendicular to y = 2 / 3 x - 4 and passes through (6, -2) is y = - 3 / 2x + 7.
How to represent equation in slope intercept form?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slope of the lineb = y-interceptThe slopes of perpendicular lines are negative reciprocals of one another.
Therefore, the slope of the line perpendicular to y = 2 / 3 x - 4 is - 3 / 2.
Hence, let's find the line as its passes through (6, -2).
Therefore,
y = - 3 / 2 x + b
-2 = - 3 / 2(6) + b
-2 = -9 + b
b = -2 + 9
b = 7
Therefore, the equation of the line is y = - 3 / 2x + 7.
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