Answer:
21
Step-by-step explanation:
over the last few decades, the total amount of global fdi inflows has: group of answer choices slightly increased exponentially increased slightly decreased exponentially decreased
Answer:Data and research on investment including guidelines for multinational enterprises, private sector development, FDI, bribery, conflict minerals and ...
Step-by-step explanation:
Use the tax table below to calculate the tax of a head-of-household taxpayer with a taxable income of $27,811.
The amount of tax owed by a head-of-household taxpayer with a taxable income of $27,811 is given as follows:
$3,062.
How to obtain the amount of tax?The amount of tax is obtained identifying the correct position in the table in this problem.
The person in this problem is the head of the household, meaning that we should observe the last column of the table.
As income of $27,811 is between $27,800 and $27,850, hence, looking at the fourth-to-last row, the amount of tax owed by a head-of-household taxpayer with a taxable income of $27,811 is given as follows:
$3,062.
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**I WILL GIVE BRAINLIEST AND 40 POINTS**
Which scatter plot best represents the data given in the table below?
Answer: A
Step-by-step explanation:
Flame length = l
Fire speed = s
In graph d, when l = 10, s does not equal 2.
It is eliminated.
In graph b, when l = 35, s=8, but in the graph, when l=30, s=8.
It is eliminated.
In graph c, when l=50, s=9, but in the graph when l=55, s=9.
It is eliminated.
The correct answer is a.
02: Pretest CR Algebra 2 A / 2:Equations and Functions
so we know the EQUATion of the line, now let's work out the inequality of it.
the shaded area is the "true" region or area, and the non-shaded is the "false" region, hmmm let's work our way from the "false" region.
first off, the line is solid, that means the line includes values in the inequality, meaning the shaded part extends to the borderline, so the inequality will be either ⩾ or ⩽, let's work it out from the "false" region, by picking out a point there, hmmm let's use say x = 6 and y = -4, so the point is (6 , -4) and let's plug it in the EQUATion.
[tex]y ~~ \square ~~ \cfrac{3}{4}x-3\hspace{5em}(6~~,~-4)\qquad \implies \qquad -4 ~~ \square ~~ \cfrac{3}{4}(6)-3 \\\\\\ -4 ~~ \square ~~ \cfrac{18}{4}-3\implies -4 ~~ \square ~~ \cfrac{9}{2}-3\implies -4 ~~ \square ~~ \cfrac{9-6}{2}\implies -4 ~~ \square ~~ \cfrac{3}{2} \\\\\\ -4 ~~ \square ~~ 1.5\qquad \textit{is -4 greater or less than 1.5?}[/tex]
well, clearly -4 is less than 1.5, however to make that a false statement, we can say that -4 is more than 15, now, is not true, is "false" and since we're working from the "false" region, that is what we need, "more than", or ⩾
[tex]{\Large \begin{array}{llll} y\geqslant \cfrac{3}{4}x-3 \end{array}}[/tex]
now, bear in mind that we could have started from the "true" region, the shaded one, and pick a point in it like (0 , 0), if you test, that gives us something like 0 [ ] -3, to make that true, we make it 0 ⩾ -3, because that is true, 0 is really greater than -3, and working for the "true" region, that's what we need.
Find the value of q.
21
17.5
q=
33
The value of q = 25.96
This can be solved using the concept of triangle similarity.
What is triangle?Triangulus, which means "three-cornered" or "having three angles," is a Latin word with roots in tri-, "three," and angulus, "angle or corner." Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed at a point where the three sides are joined end to end. The summation of the triangle's three angles equals 180 degrees. Triangles can be classified as equilateral, isosceles, or scalene depending on how long their sides are.
Consider, the triangle ABC and the mid-segment line becomes CD.
Now, from similarity
Δ DBA ≅ Δ ABC
AB² = BC. BD ............... (i)
Δ ADB ≅ Δ ABC
AD² = BD. CD ............. (ii)
thus, Δ ADC ≈ Δ ABC
AC² = BC. CD
Thus, q² = (17.5 + 21) × (17.5)
or, q² = 673.75
or, q = 25.96
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For the 2021 Las Vegas Charity Bike-A-Thon, Slow Joe's donators pledged a combined total of
$93. 15 for every mile Joe traveled from start to finish. Slow Joe rode his bike exactly
4 moltIply
of the
un
course before calling it quits. How much did money did Slow Joe raise for his charity? How
much morè monèy did Joe raise than Fast Freddy (who raised $42. 70 per mile and traveled
20% of the course? You may use a calculator, but show all steps. Each square represents 25
square miles
When the total amount raised by Slow Joe was subtracted from the total amount raised by Fast Freddy, the difference was $329.90. Therefore, Slow Joe raised $329.90 more than Fast Freddy.
Slow Joe raised $372.60 for charity.
Slow Joe raised $329.90 more than Fast Freddy.
Steps:
Slow Joe: 93.15 x 4 miles = 372.60
Fast Freddy: 93.15 x (4 x 0.2) = $37.26
Difference: 372.60 - 37.26 = $329.90
Slow Joe raised $372.60 for charity by riding 4 miles of the course for the 2021 Las Vegas Charity Bike-A-Thon. This was accomplished by Slow Joe's donators pledging a combined total of $93.15 for every mile Joe traveled from start to finish. In comparison, Fast Freddy raised $42.70 per mile for traveling 20% of the course. To calculate the difference between the two, Slow Joe's total was calculated by multiplying the amount per mile by the number of miles traveled (93.15 x 4 = 372.60). Fast Freddy's total was calculated by multiplying the amount per mile by the percent of the course traveled (93.15 x (4 x 0.2) = 37.26). When the total amount raised by Slow Joe was subtracted from the total amount raised by Fast Freddy, the difference was $329.90. Therefore, Slow Joe raised $329.90 more than Fast Freddy.
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What value of n satisfies the following equation: 10n + 56= -4n
Answer:
Step-by-step explanation:
That’s the same as 10n + 4n = -56
= 14n = -56
= n = -56/14
n = -4
Answer:
n = -4
Step-by-step explanation:
10n + 56 = -4n
56 = -14n
n = -4
All 6 members of a family work. Their hourly wages (in dollars) are the following.
20, 30, 13, 10, 22, 37
Assuming that these wages constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places
Answer:
Step-by-step explanation:
σ = sqrt [ Σ ( xi - μ )^2 / N ]
where:
σ is the standard deviation
Σ is the sum of the values
xi is the value of the i-th observation
μ is the mean of the population
N is the number of observations
First, we need to find the mean of the population:
μ = (20 + 30 + 13 + 10 + 22 + 37) / 6
μ = 132 / 6
μ = 22
Next, we can calculate the deviations of each observation from the mean:
20 - 22 = -2
30 - 22 = 8
13 - 22 = -9
10 - 22 = -12
22 - 22 = 0
37 - 22 = 15
Then, we square each deviation:
(-2)^2 = 4
8^2 = 64
(-9)^2 = 81
(-12)^2 = 144
0^2 = 0
15^2 = 225
We add up the squared deviations:
4 + 64 + 81 + 144 + 0 + 225 = 518
We divide by the number of observations and take the square root:
σ = sqrt [ Σ ( xi - μ )^2 / N ]
σ = sqrt (518 / 6)
σ ≈ 10.72
Therefore, the standard deviation of the population is approximately 10.72 dollars.
Gavin bought 6. 5 dozen carnations. He spent $68. 25 on the flowers. How much did each flower cost?
First, find the total number of flowers by______ 6. 5 by 12. The total number of flowers is_____. Then_____ $68. 25 by the total number of flowers to find the cost of each flower. Each flower will cost approximately_____
Each flower that Gavin bought will cost $0.875 and the approximate value of each flower will be $0.90
6.5 dozen of carnations = 6 × 12 + 6 (one dozen has 12 units)
(half dozen is half of 12 that is 6)
the total number of flowers Galvin bought = 72 + 6 = 78
total amount Gavin spent on carnations is $68.25
let the amount spent on one flower be x
then the ratio of flower to amount of flowers
ratio = [tex]\frac{net quantity}{amount}[/tex] = [tex]\frac{78}{68.25}[/tex] = [tex]\frac{1}{x}[/tex]
therefore, x = 1 × [tex]\frac{68.25}{78}[/tex]
x = 0. 875 or 0.88
x ≈ 0.90
∴ the approximate amount spent on one flower is $0.90
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what is meant by the term "discrete" when it is used in the context of this course, as in "discrete structures", or "discrete mathematics"?
In mathematics, the term "discrete" is often used to refer to objects or structures that are distinct and separate, rather than being continuous or flowing. In the context of this course, the term "discrete" is used to describe a particular branch of mathematics known as "discrete mathematics" or "discrete structures."
Discrete mathematics is concerned with mathematical structures that are countable and finite, rather than continuous or infinite. These structures are typically represented by sets, graphs, or other discrete objects, and can be used to model a wide range of phenomena, from computer algorithms to social networks.
One of the key features of discrete structures is that they are composed of individual, separate elements, rather than being continuous or flowing. For example, a set of integers is a discrete structure, because it consists of separate, distinct integers, rather than a continuous range of numbers. Similarly, a graph is a discrete structure, because it consists of separate vertices and edges, rather than a continuous line.
Because of their discrete nature, these structures can be analyzed and manipulated using a range of mathematical tools and techniques, such as combinatorics, graph theory, and probability theory. This makes discrete mathematics a fundamental part of many areas of computer science, engineering, and other fields that rely on mathematical modeling and analysis.
In contrast, continuous structures, such as real numbers or geometric shapes, are often analyzed using calculus or other techniques that deal with the infinite and continuous nature of these objects.
In summary, when we talk about "discrete structures" or "discrete mathematics," we are referring to mathematical objects and structures that are countable, finite, and composed of individual, separate elements. These structures can be analyzed and manipulated using a range of mathematical tools, and are a fundamental part of many areas of computer science, engineering, and other fields that rely on mathematical modeling and analysis.
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Sue has a bag of 18 sweets. 5 of the sweets are blue 7 of the sweets are red 6 of the sweets are green Sue takes at random a sweet from the bag. Write down the probability that Sue
(i) takes a red sweet,
(ii) does not take a green sweet,
(ii) takes a yellow sweet
Answer:
i).7/18
ii).0/18
iii).0/18.
Step-by-step explanation:
Total bag of sweet = 18
Blue sweet = 5
Red sweet = 7
Green sweet = 6
i). Probability that Sue takes a red sweet = 7/18
ii). Does not take a Green sweet = 0/18
iii). takes a yellow sweet = 0/18.
a flag pole that is 15 feet tall casts a shadow that is 21.1 feet long. at the same time of day, the shadow of a nearby tree is 12.7 feet long. how tall is the tree?
In linear equation, 24.9 tall is the tree .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
We can set up a proportion comparing the height of each object to the length of the shadow.
h/15 = 21.1/12.7
h = 1.66 * 15
h = 24.9
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This question: 1 point(s) possible
A 100-horsepower outboard motor at full throttle will rotate its propeller at exactly 4700 revolutions per min. Find the angular speed of the propeller in radians per second.
4700 rev per min _____ radians per sec
(Round to the nearest tenth as needed.)
Rounding to the nearest tenth, the angular speed of the propeller is 157.1 rad/s.
What do you mean by radian?A radian is a unit of measurement for angles in mathematics. It is defined as the ratio of the length of an arc of a circle to the radius of the circle. In other words, one radian is equal to the angle created at the center of a circle by an arc that is equal in length to the radius of the circle.
Radians are used as a more natural and convenient way to measure angles than degrees, especially in calculus and other branches of mathematics that deal with the study of curves and functions. For example, the trigonometric functions (sine, cosine, and tangent) are defined in terms of radians, and the derivatives of these functions are easier to work with in radians than in degrees
To convert from revolutions per minute to radians per second, we need to divide by the number of minutes in one hour and multiply by the number of radians in one revolution. We can write this conversion as:
4700 rev/min * (2π rad/rev) / (60 min/hr) = w rad/s
where w denotes the angle's rotational speed in radians per second. Plugging in the conversion factor for one revolution, we get:
w = 4700 rev/min * (2π rad/rev) / (60 min/hr) = (4700 * 2π) / 60 = 157.07 rad/s
Rounding to the nearest tenth, the angular speed of the propeller is 157.1 rad/s.
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Please help!!! Can’t figure out the answer.
The value of the given expression is 1440
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
(x²yz^4)/z
Substitute the values for x,y and z
((-6)²*5*2^4)/2
= (36*5*16)/2
use 16/2 = 8
= 36*5*8
= 1440
The value of the given expression is 1440
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Work out the following giving the answer as a mixed number
how long would it take to travel 100 km at a speed of 50 km/h
Step-by-step explanation:
Assuming it is a constant speed of 50km/h
So you travel 50km in one hour
So if you want to go 100km traveling at the constant speed of 50km it will take two hours as you are going 50km for one hour it will take two hours to go 100km.
The graph of [tex]y = x^2+px+q[/tex] has a turning point at (2,5) Find the values of p and q
Answer:
p = -4
q = 9
Step-by-step explanation:
The vertex form of a parabola is:
y = a (x − h)² + k
Given that the leading coefficient is 1 and the vertex is (2,5):
y = (x − 2)² + 5
Distributing:
y = x² − 4x + 4 + 5
y = x² − 4x + 9
Alternatively, using calculus, if y = x² + px + q, then the derivative is:
dy/dx = 2x + p
The turning point occurs when the derivative is 0:
0 = 2x + p
0 = 2(2) + p
p = -4
Plugging in and solving for q:
y = x² − 4x + q
5 = (2)² − 4(2) + q
5 = 4 − 8 + q
q = 9
the flow curve expresses the behavior of a metal in which region of the stress strain curve T/F
the flow curve expresses the behavior of a metal in plastic region of the stress strain curve.
What is flow curve?When a sample is exposed to various shear rates or shear stressors, the change in shear viscosity is graphically shown by a flow curve.
A flow curve is a measurement performed on a rotating viscometer or rheometer in which the shear rate is increased stepwise and the corresponding shear stress is calculated for each shear rate. The characteristics of the instrument are used to compute the associated shear stress and viscosity.
Thus, the flow curve expresses the behavior of a metal in the plastic region of the stress strain curve.
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LM is the midsegment of trapezoid ABCD. If AB = 34 and DC = 128 , what is LM
Answer:81
Step-by-step explanation: AB=base 1 DC=base 2
Base1+Base2 divided by 2
The length of the midsegment of the trapezoid is 81 units.
How to find the mid segment of a trapezoid?The midsegment of a trapezoid is the line segment connecting the midpoints of the two non-parallel sides of a trapezoid.
The length of the midsegment of a trapezium is half the sum of the top and bottom of the trapezoid.
Therefore, let's find LM, the midsegment of the trapezoid.
Hence,
LM = 1 / 2 (AB + DC)
AB = 34
DC = 128
LM = 1 / 2 (34 + 128)
LM = 1 / 2 (162)
LM = 81
Therefore,
LM = 81 units
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Simplify—-
B.) 5/34 + 3/64 + 5/8
Answer:
29.13
Step-by-step explanation:
5÷34+3÷64+5÷5
= 6.8+ 21.33+ 1
=29.13
Answer:
the person above me is right just did the math for u
Step-by-step explanation:
yea cuz we smart :))
91°
52°
What is the measure of the missing angle?
Answer:
give the diagram please
Answer:
The measure of the missing angle is 37°.
What is the equivalent volume of 4 gallons in quarts?
1 gallon = 4 quarts
Enter your answer in the box.
4 gallons =
quarts
Answer:
4= 16 quarts
Step-by-step explanation:
Answer: 16 quarts
Step-by-step explanation:
1 gallon = 4 quarts
4 gallon = 4 x 4 = 16 quarts
This is a direct proportion
3a + 6b - 8a +9b
Please show your work
Answer & Step-by-step explanation:
To simplify the expression 3a + 6b - 8a + 9b, we can combine the like terms (terms with the same variable).
First, we can combine the 3a and -8a terms since they have the same variable 'a'. When we subtract 8a from 3a, we get -5a.
Then, we can combine the 6b and 9b terms since they have the same variable 'b'. When we add 6b and 9b, we get 15b.
Putting it all together, we get:
3a + 6b - 8a + 9b = -5a + 15b
Therefore, the simplified expression is -5a + 15b.
3a+6b-8a+9b
9b+6b-8a+3a
15b-5a
5(3b-a)
a senate committee consists of 5 republicans, 6 democrats, and 2 independents. a subcommittee of 3 members is randomly chosen. what is the probability that the subcommittee (a) consists of 3 republicans?
Considering all the given information, the probability that the subcommittee consists of 3 republicans is 0.0345, or 3.45%.
To find the probability that the subcommittee consists of 3 Republican’s, we first calculate the number of ways to choose 3 Republicans out of 5:
C(5, 3) = 5! / (3! (5 - 3)!)
=5! / (3! 2!)
= (5 ×4 × 3!) / (3 × 2 × 3!)
= (5 × 4) / (2 × 2)
= 10.
The total number of ways to choose 3 members out of a committee of 5 Republicans, 6 Democrats, and 2 Independents is:
C(13, 3) = 13! / (3! (13 - 3)!)
=13! / (3! 10!)
= (13 × 12 × 11 × 10!) / (3 × 2 × 1 × 10!)
= (13 × 12 × 11) / (3 × 2 × 1)
= 286
So the probability of choosing 3 Republicans is:
P(3 Republicans) = 10 / 286 = 1/29
Therefore the probability of the subcommittee consisting of 3 Republicans is approximately 0.0345, or 3.45%.
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Q: A Senate committee consists of 5 Republicans, 6 Democrats, and 2 Independents. A subcommittee of 3 members is randomly chosen. What is the probability that the subcommittee consists of three Republicans?
Hector is at school, 7200 feet from home. He leaves school and rides his bike home at a rate of 12 feet per second.
Answer: 6 minutes or 600 seconds. Thats how long it takes for him to ride his bike home
Step-by-step explanation: 7200 divided by 12 is 600
At a specific spot along the coast of North Carolina, the continental shelf extends out from the shoreline into the ocean. At that point, the depth of the water is . From there, the ocean floor slopes down to the oceanic crust which begins from the shoreline at a depth of . Find the slope of the ocean floor connecting the edge of the continental shelf and the beginning of the oceanic crust. That section of the ocean floor is called the continental slope.
The slope of the ocean floor is: slope = (y2 - y1) / x
What is slope?
The slope or gradient of a line in mathematics is a quantity that specifies both the direction and the steepness of the line.
The slope of the ocean floor can be found by using the formula for the slope of a line:
slope = (change in y) / (change in x)
where the change in y is the difference in depth between the edge of the continental shelf and the beginning of the oceanic crust, and the change in x is the distance along the ocean floor between these two points.
Let's call the depth of the water at the edge of the continental shelf "y1" and the depth of the water at the beginning of the oceanic crust "y2". Then, the change in y is:
change in y = y2 - y1
Similarly, let's call the distance along the ocean floor between these two points "x". Then, the change in x is:
change in x = x
So, the slope of the ocean floor is:
slope = (y2 - y1) / x
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how long would it take for a lahar to reach the town of orting? in order to get full credit, show your calculations. write your answer in hours and round to the second decimal place.
According to scientists with the USGS Cascades Volcanic Observatory, a lahar could take four hours to reach Puyallup but less than an hour to reach Orting.
The Washington Emergency Management Division has issued a survey to Pierce County residents to learn more about lahars, which are volcanic mudflows that contain a mixture of water and volcanic debris such as boulders. The survey is scheduled to close on Friday.
Hazard maps show that if Mount Rainier erupts, lahar could travel through river valleys as far as Puyallup, Tacoma, and Randle.
Some areas would have more time than others to evacuate. According to the US Geological Survey, previous Mount Rainier lahars travelled at 45-50 miles per hour.
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pls help me i dont understand
Answer:
Let's call the initial fee "x". The equation for the total cost of using a computer for t minutes at the internet cafe can be expressed as:
C = x + 0.60t
Knowing that the total charge to use a computer for 5 minutes would be $6, we can use this information to find the value of x:
C = x + 0.60 * 5
6 = x + 3
x = 6 - 3
x = 3
So, the equation representing the total cost of using a computer for t minutes at the internet cafe is:
C = 3 + 0.60t
In 1852, an Indian mathematician, Radhanath Sikdar, used measurements and trigonometry to calculate the height of Peak XV in the Himalayas (later to be named Mount Everest). This required the use of a device that measured angles from the ground to the top of an object. By measuring the angle to the top of Peak XV from two different spots, and knowing the distance between these spots, Sikdar may have come up with a drawing like the following: The angle of elevation to the top of the peak (from point B) was measured to be 32 degrees. From a point 17409.7 feet closer (point A), the angle of elevation was 45 degrees. Find the height Sikdar calculated for Peak XV.
The height Sikdar calculated for Peak XV is approximately 29105.77 feet.
How to calculate the heightLet's first find the height of point A above the ground. We can use the tangent function:
tan(45) = height of A / d
height of A = d * tan(45)
height of A = 17409.7 * tan(45) = 17409.7 feet
h / (d - 17409.7) = height of A / d
h = (height of A * (d - 17409.7)) / d
h = (17409.7 * (17409.7 / tan(32) - 17409.7)) / (17409.7 / tan(32))
= 29105.77 feet
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Express sin(a)+sin(2a)+sin(3a) as a product
The expression as product is sin(a)(4 + 2cos(a) - 4sin²(a))
How to express as productFrom the question, we have the following parameters that can be used in our computation:
sin(a)+sin(2a)+sin(3a)
By sine rule, we have
sin(a)+sin(2a)+sin(3a) = sin(a) + 2sin(a)cos(a) + sin(3a)
Factor out sin(a)
sin(a)+sin(2a)+sin(3a) = sin(a)(1 + 2cos(a)) + sin(3a)
Expanding sin(3a), we have
sin(a) + sin(2a) + sin(3a) = sin(a)(1 + 2cos(a)) + 3sin(a) - 4sin³(a)
So, we have
sin(a) + sin(2a) + sin(3a) = sin(a)(1 + 2cos(a) + 3 - 4sin²(a))
Evaluate the like terms
sin(a) + sin(2a) + sin(3a) = sin(a)(4 + 2cos(a) - 4sin²(a))
Hence, the product expression is sin(a)(4 + 2cos(a) - 4sin²(a))
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