Answers
Answer:
B
Step-by-step explanation:
A and B are complementary angles because their values add up to 90 degrees. <DAB is a right angle, and therefore <EAB is as well.
Related Questions
An analysis of variances produces dftotal = 29 and dfwithin = 27. for this analysis, what is dfbetween?
a. 1
b. cannot be determined without additional information
c. 3
d. 2
Answers
The value of dfbetween in the analysis of variances is 2. Thus option D is correct option.
According to the statement
we have given that the df total = 29 and df within = 27. And we have to find the value of the df between.
So, For this purpose, we know that the
Analysis of variance (ANOVA) is an analysis tool used in statistics that splits an observed aggregate variability found inside a data set into two parts.
So, Df between values are the values between the value of dftotal and dfwithin.
Here df total = 29 and df within = 27
So, df between = df total - df within
Substitute the values in it then
df between = df total - df within
df between = 29 - 27
df between = 2.
So, The value of dfbetween in the analysis of variances is 2. Thus option D is correct option.
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Theorem 7.1.2 (Calculations with the Fourier transform)
Given f € L¹(R), the following hold:
(i) If f is an even function, then
f(y) = 2 [infinity]J0 f(x) cos(2πxy)dx.
(ii) If f is an odd function, then
f(y) = -2i [infinity]J0 f(x) sin(2πxy)dx.
Answers
(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.
(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.
The Fourier transform pair for a function f(x) is defined as follows:
F(k) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx
f(x) = (1/2π) ∫[-∞,∞] F(k) \(e^{2\pi iyx}\) dk
Now let's prove the given properties:
(i) If f is an even function, then f(y) = 2∫[0,∞] f(x) cos(2πxy) dx.
To prove this, we start with the Fourier transform pair and substitute y for k in the Fourier transform of f(x):
F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx
Since f(x) is even, we can rewrite the integral as follows:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[-∞,0] f(x) \(e^{2\pi iyx}\) dx
Since f(x) is even, f(x) = f(-x), and by substituting -x for x in the second integral, we get:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[0,∞] f(-x) \(e^{2\pi iyx}\)dx
Using the property that cos(x) = (\(e^{ ix}\) + \(e^{- ix}\))/2, we can rewrite the above expression as:
F(y) = ∫[0,∞] f(x) (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dx
Now, using the definition of the inverse Fourier transform, we can write f(y) as follows:
f(y) = (1/2π) ∫[-∞,∞] F(y) \(e^{2\pi iyx}\) dy
Substituting F(y) with the expression derived above:
f(y) = (1/2π) ∫[-∞,∞] ∫[0,∞] f(x) \(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\)/2 dx dy
Interchanging the order of integration and evaluating the integral with respect to y, we get:
f(y) = (1/2π) ∫[0,∞] f(x) ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy dx
Since ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy = 2πδ(x), where δ(x) is the Dirac delta function, we have:
f(y) = (1/2) ∫[0,∞] f(x) 2πδ(x) dx
f(y) = 2 ∫[0,∞] f(x) δ(x) dx
f(y) = 2f(0) (since the Dirac delta function evaluates to 1 at x=0)
Therefore, f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx, which proves property (i).
(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.
The proof for this property follows a similar approach as the one for even functions.
Starting with the Fourier transform pair and substituting y for k in the Fourier transform of f(x):
F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx
Since f(x) is odd, we can rewrite the integral as follows:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx - ∫[-∞,0] f(x) \(e^{-2\pi iyx}\) dx
Using the property that sin(x) = (\(e^{ ix}\) - \(e^{-ix}\))/2i, we can rewrite the above expression as:
F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) - \(e^{2\pi iyx}\)/2i dx
Now, following the same steps as in the proof for even functions, we can show that
f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx
This completes the proof of property (ii).
In summary:
(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.
(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.
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6.) explain the difference between the notations x and x. 7.) suppose x=5 and y=10. according to the rules for means, what is x y? 8.) suppose x=2. according to the rules for means, what is 3 4x ?
Answers
According to the expected value of a random variable and rules for means concept, it can be concluded that:
The notation x-bar represents the ordinary average of a set of numbers, while Ux represents the expected value of the variable x.According to the rules for means, Ux + y = 15According to the rules for means, U3 + 4x = 14The notation x-bar is used to represent the ordinary average, or mean, of a set of data values. It is calculated by adding up all of the data values and dividing by the number of data values.
On the other hand, the notation Ux is used to represent the expected value of a random variable x. It is calculated by multiplying each possible value of x by its probability and then adding up these products.
Rules for means state that:
1. The expected value of a linear combination of random variables is equal to the linear combination of their expected values. Ua+bX = a + bUx
2. The expected value of the sum of two random variables is equal to the sum of their expected values. Ux+y = Ux + Uy
According to the rules for means we get:
Ux+y = Ux + Uy
= 5 + 10
= 15.
According to the rules for means, we get:
Ua+bX = a + bUx
U3+4X = 3 + 4Ux
= 3 + 4(2)
= 11.
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Full question:
6.) explain the difference between the notations x-bar and Ux!
7.) suppose x=5 and y=10. according to the rules for means, what is Ux+y?
8.) suppose x=2. according to the rules for means, what is U3+4x?
a catering company uses a linear function to determine the total cost of parties. the following table shows the costs for dinner parties with varied numbers of guests. what is the cost to cater a dinner party with 90 guests?gueststotal cost30$31560$555$720$795$870$945
Answers
For a catering company, which used the linear function for calculating the total cost of parties, the cost to cater a dinner party with 90 guests is equals to the $42750.
We have a table form data of total cost of parties for a catering company. There is use of linear function to determine total cost of parties. Table look like as below,
Cost for dinner parties | number of guests
(each guest)
$315 30
$555 60
We have to determine the cost to cater a dinner party with 90 guests. For this we use simple multiplication arithmetic method. As we see in table, cost of cater a dinner party with 30 guests = $315 for each , that is cost for one guest = $315
so, cost of cater a dinner party with 30 guests = 30 × $315 = $ 9450
Similarly, when number of guests is 60 in count, cost of cater a dinner party = $555 for each one
So, total cost of cater a dinner party with 60 guests = 60× $555 = $ 33300
Now, we have total guest = 90
The cost to cater a dinner party with 90 guests
= cost to cater a dinner party with 30 guests + cost to cater a dinner party with 60 guests = $9450+ $33300
= $42750
Hence, required value is $42750.
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find the probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the indian city palasa kasibugga. express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Answers
The probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the Indian city Palasa Kasibugga is 11/15.
According to the question,
We have the following information:
Words are:
Palasa Kasibugga
Now, total number of letters = 15
Number of a in these words = 4
Number of letters other than a = 11
We know that the following formula is used to find the probability of an event:
Probability = Number of favorable outcomes/total number of outcomes
Probability = 11/15
Hence, the probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the Indian city Palasa Kasibugga is 11/15.
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ill give brainiest to anyone that can answer this for me, Thanks in advance
Answers
Answer:
I'm pretty sure it's D
Step-by-step explanation:
PLS HELP MEE I WILL MARK YOU BRAINLIEST PLS EXPLAIN TO I NEED HELP DJDHD
Answers
Answer:
615.75
Step-by-step explanation:
Area of circle: (3.14)(radius)^2
A = 3.14(14)^2
A = 615.75
Answer:
615,44cm²
calculate area of the circle :
pi×r²
pi=3,14
3.14×14²
=3.14×196
=615,44cm²
which equation shows a line with a slope of 3 that passes through the point ((1,-2)
Answers
Answer:
y = 3x - 5
Step-by-step explanation:
Slope m = 3
Using (1,-2)
Slope-intercept: y = mx + b
-2 = 3(1) + b
-2 = 3 + b
b = -5
then y = 3x - 5
Using the slope and y-intercept from the previous questions, write the equation of the line.
Answers
Answer:
y = mx + b
Step-by-step explanation:
How many terms are in the expression 3x + 5a/2y
Answers
Answer: two
Step-by-step explanation:
A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
OA. 7
B. 2
C. 4
OD. 15
□E. 10
O F. 12
SUBMIT
Answers
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that two sides have lengths 6 and 9, we can analyze the possibilities:
6 + 9 > x
x > 15 - The sum of the two known sides is greater than any possible third side.
6 + x > 9
x > 3 - The length of the unknown side must be greater than the difference between the two known sides.
9 + x > 6
x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.
Based on the analysis, the possible values for the length of the third side are:
A. 7
C. 4
□E. 10
O F. 12
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
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Write each percent as a fraction and as a decimal to the nearest hundredth.
1. 42%
2. 35%
3. 18%
4. 100%
Write each decimal or fraction as a percent
5. 0.03
6. 0.92
7. 2/5
8. 23/25
Answers
8 classmates share 4 pizzas equally
Answers
Answer:
each classmate gets half of a pizza
Which of the following statements about
the graph of y = 3/4 x-1 are true? Select all
that apply.
The slope of the line is -1.
The line intersects the point (0, -3).
The line intersects the point (0, 1).
The y-intercept is -1.
The slope of the line is
The y-intercept is 2
Answers
Answer:
The line intersects the point (0, 1).
The y-intercept is -1.
The slope of the line is 3/4
Step-by-step explanation:
It's basically telling us where the y-intercept is. The y-intercept is pretty obvious because it says it and the slope of the line is also pretty obvious because it says it.
The total cost of a vacation package is $1,242 for the Smith family. If there are 6 family members, what is the cost for each family member? *
Answers
Answer:
$207
Step-by-step explanation:
We do 1242 / 6 = 207
It costs $207 for each family member.
Answer:
207 each
Step-by-step explanation:
Take the total cost and divide by the number of family members
1242 / 6
207 each
Please give the proof process: 2n3 + 3n +10 = Q( n³).
Answers
2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".
Let's start by factoring out the common factor of n^3 from each term:
2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)
Now, let's rewrite the expression as a single term multiplied by n^3:
2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3
Simplifying the expression inside the parentheses:
= (2n^3 + 3n^2 + 10n^3)/n^3
= (12n^3 + 3n^2)/n^3
= 12 + 3/n
ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.
Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
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The ages of the people in attendance at the showing of an award-winning foreign film are shown below.
Which statement must be true according to the histogram?
A) The data is symmetrical, showing that the majority of the attendees were between the ages of 30 and 50.
B) The data is symmetrical, showing that the majority of the attendees were between the ages of 21 and 60.
C) The data is skewed, showing that the majority of the attendees were between the ages of 30 and 50.
D) The data is skewed, showing that the majority of the attendees were between the ages of 21 and 60.
Answers
Answer:
Based on the available options, statement D) The data is skewed, showing that the majority of the attendees were between the ages of 21 and 60 is the most reasonable conclusion.
A histogram displays the distribution of data and can reveal whether the data is symmetrical or skewed. In this case, if the histogram shows an asymmetric distribution, it implies that the data is skewed. Additionally, the histogram suggests that the majority of the attendees were between the ages of 21 and 60, which aligns with statement D.
It's important to note that without actually seeing the histogram or having more specific information, we can only make an inference based on the given options.
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please help me! Bethany incorrectly simplified the following expression: (4 x 10^11) (3 x 10^-14) + 0.000005 Which of Bethany’s steps show an error based solely on her previous step? Choose all that apply: A. Step one: (4 x 10^11) (3 x 10^-14) + (5 x 10^-5) B. Step two: (12 x 10^-3) + (5 x 10^-5) C. Step three: (120 x 10^-4) + (5 x 10^-5) D. Step four: (120 x 10^-4) + (50 x 10^-4) E. Step five: 170 x 10^-8 F. Step six: 1.7 x 10^-6
Answers
Answer:
Below.
Step-by-step explanation:
Step 1: it is 5 x 10^-6 not 5 x 10^-5.
Step 5 : the result of the addition is 170 x 10^-4 not 170 x 10^-8.
Answer: yes that is correct explanation:
Write an equation in slope-intercept form for a line perpendicular to y=-2 x+6 containing (3,2) .
Answers
The equation of a line perpendicular to y=-2 x+6 containing (3,2) in slope-intercept form: y = 0.5 x - 0.5
Two lines are perpendicular if their slopes are negative reciprocals of each other. The slope of y=-2 x+6 is -2, so the slope of the perpendicular line will be 1/2.
We can plug the point (3,2) into the slope-intercept form of a line, y = mx + b, to solve for b, the y-intercept.
```
2 = (1/2) * 3 + b
```
```
2 = 1.5 + b
```
```
b = 2 - 1.5 = 0.5
```
Therefore, the equation of the perpendicular line is y = 0.5 x + 0.5.
Here is a graph of the two lines:
```
[asy]
unitsize(1 cm);
draw((-1,0)--(6,0));
draw((0,-1)--(0,4));
draw((3,2)--(3,0.5));
draw((-0.5,4)--(5.5,-0.5),dashed);
label("y = -2 x + 6", (6,4), E);
label("y = 0.5 x + 0.5", (3,0.5), NE);
dot("(3,2)", (3,2), SW);
[/asy]
```
As you can see, the two lines intersect at the point (3,2), and their slopes are negative reciprocals of each other.
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4) What is 15% of 22?
A) 3
B) 3.3
C) 30
D) 33
Answers
Answer: 3.3
Step-by-step explanation: Find the calculation in the picture
6 = 3(3x-6) - 3(3x - 8)
Answers
Answer:
Pull out like factors
3x - 6 = 3 • (x - 2)
Pull out 6
6 • ( 1 +( (-1) ))
This equations is a tautology or an Identity which means it's always true.
Step-by-step explanation:
Answer: All real numbers
Step-by-step explanation:
Distribute the 3 into (3x - 6) and - 3 into (3x -8). 6 = 9x - 18 - 9x + 24.Combine the like terms. 6 = 6plz guys step by step with answer
Answers
Answer:
C
Step-by-step explanation:
You can rearrange the equation to make it: 4y=3x-2
The slope right now is 3,but that's not the answer
So you divide the whole equation by 4 (it will give you: y=3/4 x- 0.5
So from that you can see that the slope is 3/4, C
Abigail is setting aside money to purchase a new phone. She already has $150 saved up from working over the summer vacation. If she earns $25 per shift working at the convenience store, how many shifts will she need to work to reach her goal of $600?
And explain plzz
Answers
Answer:
18 shifts.
Step-by-step explanation:
If x is the number of shifts using:
25x + 150 = 600
25x = 600 - 150
25x = 450
x = 450/25
x = 18.
Drag the labels into place in the figure for a market leaving, and then returning to, equilibrium as firms exit after a decrease in demand. original short-run supply* final short-run demand* original short-run demand* long-run supply* final short-run supply* Drag each item above to its appropriate location in the image. Note that every item may not have a match, while some items may have more than one match. Price P2 +--- Q3 Q2 Q2 Market quantity (Q)
Answers
The original short-run supply curve shifts left, causing the market price to decrease to P2 and the quantity to decrease to Q2.
As a result, some firms exit the market, causing the short-run supply to shift back to the right and the market to return to equilibrium at a lower quantity, Q3, and the same price, P2.
When demand decreases, the original short-run supply curve shifts leftward as firms reduce production to meet the lower demand. This causes the market price to decrease to P2 and the quantity to decrease to Q2.
At this lower price, some firms may exit the market if they are unable to cover their costs, causing the short-run supply curve to shift back to the right.
As a result, the market quantity decreases further to Q3, and the market returns to equilibrium at the same price, P2. In the long run, the supply curve may shift further to accommodate the lower demand, resulting in a new equilibrium price and quantity.
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a car manufacturer is looking to compare the sales of their sedan model last year to the sales of the same model 15 years ago at various dealerships. the manufacturer is weighing two different proposals to conduct the study. under the first proposal, the manufacturer randomly samples 10 different dealerships for their sales numbers last year and randomly selects another 10 dealerships for their sales numbers 15 years ago. in the second proposal, the manufacturer randomly samples 10 dealerships for both sets of sales numbers. are the samples in these proposals dependent or independent?
Answers
The samples in the first proposal are independent, while the samples in the second proposal are dependent.
In the first proposal, where the manufacturer randomly samples 10 different dealerships for each set of sales numbers (last year and 15 years ago), the samples are independent. This is because the selection of dealerships for one set of sales numbers does not affect or influence the selection of dealerships for the other set of sales numbers. Each dealership is chosen randomly and independently for each set.
On the other hand, in the second proposal, where the manufacturer randomly samples 10 dealerships for both sets of sales numbers, the samples are dependent. This is because the selection of dealerships for one set of sales numbers is directly tied to the selection of dealerships for the other set of sales numbers. The same 10 dealerships are chosen for both sets, so the samples are not independent.
The choice between independent and dependent samples can have implications for statistical analysis. Independent samples allow for direct comparisons between the two sets of sales numbers, while dependent samples may introduce potential bias or confounding factors due to the shared dealership selection.
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find the values of x that would make the area of the rectangle greater than the area of the triangle.can you help me pls
Answers
Answer:
\(x>3\)
Step-by-step explanation:
\(The\ area\ of\ the\ rectangle\ in\ terms\ of\ x=6x\\The\ area\ of\ the\ triangle\ in\ terms\ of\ x=\frac{4(x+6)}{2}=2(x+6) \\Given\ condition:\\The\ area\ of\ the\ rectangle>The\ area\ of\ the\ triangle\\Hence,\\6x>2(x+6)\\Now, as\ practically\ any\ of\ the\ side\ of\ the\ polygons\ cannot\ be\ negative.\\\\Hence,\\6x>2x+12\\6x-2x>2x+12-2x\\4x>12\\\frac{4x}{4} >\frac{12}{4} \\x>3\)
\(Hence,\\x\ could\ be\ any\ real\ number\ greater\ than\ 3.\)
28. The height of a cylinder whose radius is 7 cm
and the total surface area is 968 cm2 is.............
(A) 15 cm
(C) 19 cm
(B) 17 cm
(D) 21 cm
Answers
\(\huge\bold{Solution }\)
\(\large\mathfrak{given}\)
TSA = 968cm²Radius = 7 cmHeight = ?\( \large \: \mathfrak{ {formula}}\)
2πr(r + h)Let height be : x
\(\sf\Rightarrow{ \: 968 = 2\pi \: r(r \: + h) } \: \)
\(\sf\Rightarrow{968 = 2 \times \frac{22}{7} \times 7 \times (7 + x) }\)
\(\sf\Rightarrow{ 968 = 2 \times 22 \times(7 + x)}\)
\(\sf\Rightarrow{ 968 = 44(7 + x)}\)
\(\sf\Rightarrow{ \frac{968}{44} = 7 + x}\)
\(\sf\Rightarrow{22 = 7 + x }\)
\(\sf\Rightarrow{22 - 7 = x }\)
\(\sf\Rightarrow{x = 15 }\)
\(\bf\Rightarrow{ x = 15}\)
\(\sf\Rightarrow{ \underline{{ height \: = 15}}} \\ \\ \sf \: option \: A is \: correct \: \)
\( {\underline{ \rule {200pt}{6pt}}}\)
I don’t know what I got wrong on this problem. Can someone please help me?
Answers
Answer:
x is equal to the length of that side of the triangle, the x is written on (the distance between the log ride and the pirate ship). You can visually see that both of the long sides of that triangle are equal. See how they look the same? The other side of that triangle (the distance between the Big Top Tent and the Pirate Ship) has a given length written, it says "25 m." So the x side, which is equal is also 25 m. The value of x is 25 m.
Step-by-step explanation:
HURRRRYYY!! PLEASE HELP mee.....
Project
Materials:
Pencil
Plain paper
Straight edge
Compass
1) Complete one drawing of each regular polygon: equilateral triangle, square, and regular hexagon, following the animations.
2) Create a design based on one of the 3 polygons.
3) Write a description of your design. Include the following information:
How many lines of symmetry does the design have?
How many degrees does the design need to be rotated to match itself? (Hint: See the polygons at the start of the lesson.)
How did you decide to color your design?
What patterns do you see in your design?
Here are a few examples:
Answers
The drawings are attached of the following shapes:
The design that is based on one of the three polygons is a square-based pyramid whose triangular sides are laid out.
Recall that a polygon is a flat shape with three or more straight sides and angles.
The design has 4 lines of symmetry. A line of symmetry is the line that passes through the object's or shape's center. It is regarded as the object's axis.
How many degrees does the design need to be rotated to match itself?
The object must be rotated 90° in order for it to match itself.
The design is colored black.
What patterns do you see in your design?
I see triangular patterns and a square box.
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find the limit. (if the limit is infinite, enter '[infinity]' or '-[infinity]', as appropriate. if the limit does not otherwise exist, enter dne.) 2x 5 3x-1
Answers
The limit of the expression 2x/(5 + 3x) as x approaches infinity is 2/3.
To find the limit of the expression 2x/(5 + 3x) as x approaches a certain value, we need to analyze the behavior of the expression as x gets arbitrarily close to that value. Let's consider the limit as x approaches infinity.
To evaluate the limit, we substitute infinity into the expression:
lim(x→∞) 2x/(5 + 3x)
When we substitute infinity into the expression, we can see that the terms involving x dominate the expression. As x becomes larger and larger, the 3x term in the denominator becomes significantly larger than the constant term 5.
This leads to the following behavior:
lim(x→∞) 2x/(5 + 3x) ≈ 2x/(3x) = 2/3
Therefore, as x approaches infinity, the limit of the expression 2x/(5 + 3x) is 2/3.
In summary, the limit of the expression 2x/(5 + 3x) as x approaches infinity is 2/3.
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