Determine the Fourier transform of f(x): f(x) = { e^-x if x >= 0 e^x if x < 0 }
Answers
The Fourier transform of f(x) = { e^-x if x >= 0, e^x if x < 0 } is F(ω) = 2iω / (1+ω^2).
To find the Fourier transform of f(x), we can use the definition of the Fourier transform:
F(ω) = ∫[−∞,∞] f(x) e^(-iωx) dx
Let's evaluate the integral for f(x) = e^(-x) when x ≥ 0:
F1(ω) = ∫[0,∞] e^(-x) e^(-iωx) dx
Using the integral properties and simplifying the exponential terms, we have:
F1(ω) = ∫[0,∞] e^(-(1+iω)x) dx
= [-1/(1+iω) * e^(-(1+iω)x)] [0,∞]
= [-1/(1+iω) * (e^(-(1+iω)∞) - e^0)]
= [-1/(1+iω) * (0 - 1)]
= 1/(1+iω)
Now, let's evaluate the integral for f(x) = e^x when x < 0:
F2(ω) = ∫[-∞,0] e^x e^(-iωx) dx
Using similar steps as before, we have:
F2(ω) = ∫[-∞,0] e^(-(1-iω)x) dx
= [-1/(1-iω) * (e^(-(1-iω)0) - e^(-(1-iω)(-∞)))]
= [-1/(1-iω) * (1 - 0)]
= -1/(1-iω)
Since the Fourier transform is linear, we can combine the results for F1(ω) and F2(ω):
F(ω) = F1(ω) + F2(ω) = 1/(1+iω) - 1/(1-iω)
= (1-iω - 1+iω)/(1+iω)(1-iω)
= 2iω / (1+ω^2)
Therefore, the Fourier transform of f(x) is F(ω) = 2iω / (1+ω^2).
Know more about the Fourier transform click here:
https://brainly.com/question/32197572
#SPJ11
Related Questions
Can somebody help me with this pleaseee!!! Help will be very appreciated And may you explain why it’s a lie .
Answers
Answer:
my mother say it is B. she is good at math
Answer: A
Step-by-step explanation:
Answer A is a lie. The most obvious reason being the other two statements can be proven because the y intercept of the exponential IS (0, 1). Secondly, the point (-2, 4) CAN be found on the graph. Option A is the lie because if you look, for x = 10, y = 0. Therefore, the statement that for very large values of x the exponential has very large values of y, is a lie.
if there are 5 finalists at a singing competition, in how many ways can they be ordered, if they each take turns singing?
Answers
If there are 5 finalists at a singing competition, in 120 ways they can be ordered, if they each take turns singing by applying basic counting principles.
There are 5 finalists at a singing competition and each of them takes turns singing.
We can calculate the number of ways the 5 finalists can take up turn by applying basic counting principles.
Therefore, they can be ordered in n factorial ways, that is n !, where n is the number of finalists who take turns to sing.
Thus, number of ways the finalists can be ordered is = 5!
= 5*4*3*2*1 ( ways )
= 120 ways
To know more about basic principle of counting here
https://brainly.com/question/30971316
#SPJ4
Cooper is working two summer jobs, making $15 per hour of lifeguarding and $10 per hour washing cars. Cooper must earn a minimum of $110 this week. Write an inequality that would represent the possible values for the number of hours lifeguarding, ll, and the number of hours washing cars, WW, that Cooper can work in a given week.
Can you please help me answer this question, Thank you.
Answers
The inequality equation is = 15x +10y>=110. This equation represents the possible values for the number of hours lifeguarding and the number of hours washing cars = 15x +10y >= 110
Hourly wage of Cooper working as a lifeguard = $15
Hourly wage of Cooper washing cars = $10
Minimum income required this week = $110
Let x be the number of hours Cooper works as a lifeguard and y be the number of hours Cooper works washing cars
Income from working as a lifeguard based on the number of hours = 15x
Income from working washing cars based on the number of hours = 10y
Formulating the inequality equation we get the following:
15x + 10y >=110
Learn more about inequality:
https://brainly.com/question/17675534
#SPJ1
The topology taxi company charges 2. 30 for the first quarter of a mile and 0. 40 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a function of the number of miles driven, m
Answers
The linear function that models the taxi fare F as a function of the number of miles driven, m can be written as:
F(m) = 2.30 + 0.40(5m - 0.25)
where 5m - 0.25 represents the total distance traveled in fifth of a mile.
To break this down, we start with the base fare of $2.30 for the first quarter of a mile, which is 1.25 fifth of a mile. Then we add the additional distance traveled beyond the first quarter of a mile, which is given by 5m - 0.25. We multiply this by the per-fifth-of-a-mile charge of $0.40.
For example, if a customer travels 2 miles, then the total distance traveled in fifth of a mile would be 10. So, the fare would be:
F(2) = 2.30 + 0.40(5(2) - 0.25) = 2.30 + 3.95 = $6.25
This means that the taxi fare would be $6.25 for a 2-mile ride with the Topology taxi company.
Learn more about linear function
https://brainly.com/question/15602982
#SPJ4
Which expressions are equivalent to this exponential expression?.
Answers
The expression is equivalent to \(5^2\).
Given
Expression; \(\rm \dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}\)
Exponential expression;The definition of exponential form is a way of writing a number that is multiplied by itself more than once.
To solve the exponential equation follow all the steps given below.
Therefore,
The expression is equivalent to;
\(\rm =\dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6+4}}{5^{-4}}\\\\=\rm \dfrac{5^{-2}}{5^{-4}}\\\\=5^{-2+4}\\\\=5^2\)
Hence, the expression is equivalent to \(5^2\).
To know more about expression click the link given below.
https://brainly.com/question/11865504
Find an equation for the line perpendicular to the tangent to the curve y=x3−4x+1 at the point (2,1).
Answers
The equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.
To find the equation of the line perpendicular to the tangent to the curve at (2,1), we need to first find the slope of the tangent line at that point.
The derivative of y=x^3-4x+1 is y'=3x^2-4, so the slope of the tangent line at (2,1) is y'(2) = 3(2)^2-4 = 8.
Since we want the line perpendicular to the tangent, we know that its slope will be the negative reciprocal of the tangent's slope. Therefore, the slope of the line we're looking for is -1/8.
Next, we use the point-slope form of the equation of a line to write the equation of the line with the slope we found and passing through the point (2,1):
y - 1 = (-1/8)(x - 2)
Simplifying and putting the equation in slope-intercept form:
y = (-1/8)x + 9/8
Therefore, the equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.
Learn more about perpendicular here:
https://brainly.com/question/11707949
#SPJ11
The yearbook club had a meeting. The meeting had 8 people, which is one-fourth of the club. How many people are in the club?
Answers
Answer:
32
Step-by-step explanation:
Since we know 8 = 1/4
We can convert the 1/4 into a percentage:
8 = 25%
To get to 100% which is the full club we have to multiply both sides by 4:
8×4 = 25% ×4
32 = 100%
So there are 32 people in the club.
HELP PLEASE. I DONT KNOW IF ITS 30 OR 180
Answers
To see why, we can simplify √180 as follows:
√180 = √(36 × 5) (since 36 is a perfect square that can be factored out)
√180 = √36 × √5 (using the product rule of square roots)
√180 = 6√5
Therefore, 6√5 is equivalent to √180.
Answer:
Step-by-step explanation:
6\(\sqrt{5\\\)
\(\sqrt{5*36}\)
\(\sqrt{180}\)
If you think about it logically, how can you take 6 out? So there was a number 36 under the root, and because of that there is a possibility to take it out, because 6 squared is 36
Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
Answers
\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)
if you had a list of only the day of the week for each accident, what day would be the modal day for each type of road?
Answers
Based on the given table data, the modal day for built-up roads will be Friday and for non-built-up roads will be Sunday.
The modal day for each type of road would be the day of the week that has the highest frequency of accidents. The modal day would be the day of the week that appears most often on the list of accident days for each type of road.
To determine the modal day, you would need to count the number of times each day of the week appears on the list for each type of road. The day with the highest count would be the modal day for that type of road. For example, if Monday appears 5 times, Tuesday appears 3 times, and Wednesday appears 7 times on the list for a particular type of road, then Wednesday would be the modal day for that type of road.
It is important to note that there could be more than one modal day if two or more days have the same highest frequency. For example, if Monday and Wednesday both appear 5 times on the list for a particular type of road, then both Monday and Wednesday would be the modal days for that type of road.
Learn more about Modal here: brainly.com/question/30528252
#SPJ11
Complete Question:
The Scottish Executive, Analytical Services Division Transport Statistics, compiles data on motorcycle accidents in Scotland were tabulated by day of the week for built-up roads and non-built-up roads and resulted in the following data.
(Please refer to the attached table below)
c. If you had a list of only the day of the week for each accident, what day would be the modal day for each type of the road?
what is 8.6 rounded to the nerest whole number is?
Answers
0-4 = round down
5-9 = round up
6 = round up
8 + 1 = 9
8.6 rounded to the nearest whole number is 9.
since the 6 is greater than 5, 8.6 rounds to 9
if the number AFTER the one you are rounding to is 5 or greater round up, if it's less than 5 round down
24 cows were on display at the county fair. If this
was 75% of the cows at the fair, how many cows
were there in all?
Answers
Answer:
32
Step-by-step explanation:
if 75% is 24 cows then there is 32 cows because 24 3/4 of 32
Answer:
32
Step-by-step explanation:
Which line screen setting are you most likely to use when printing a newspaper?
Answers
When printing a newspaper, you are most likely to use a line screen setting of 85 lpi (lines per inch).
Leroy took a trip to Alaska. His airfare was $243 and he spent $72 each day while
he was there. Which expression can he use to help him find the cost of the trip?
(x = number of days spent in Alaska) *
Answers
Answer:
Total cost of the trip = 243 + 72x
Step-by-step explanation:
Cost of airfare = $243
Amount spent per day = $72
Which expression can he use to help him find the cost of the trip?
Let
x = number of days spent in Alaska
Total cost of the trip = Cost of airfare + (Amount spent per day * number of days spent in Alaska)
= 243 + (72 * x)
= 243 + 72x
Total cost of the trip = 243 + 72x
If he spent 4 days on the trip
Total cost of the trip = 243 + 72x
= 243 + 72(4)
= 243 + 288
= $531
what is the probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission, each boat has a failure rate of 1 failure per 100 hours?
A. 99.5%
B. 95.0%
C. 90.0%
D. 85.5%
Answers
The probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission if each boat has a failure rate of 1 failure per 100 hoursis 99.5%. Hence, the correct option is (A).
To determine the probability of mission success, we'll need to calculate the probability of failure for each boat and then use the binomial probability formula.
Here are the steps:
1. Calculate the probability of failure for each boat during the 20-hour mission: Since each boat has a failure rate of 1 failure per 100 hours, the probability of failure for each boat in 20 hours is 20/100 = 1/5 or 0.2.
2. Calculate the probability of success for each boat: The probability of success for each boat is 1 - probability of failure = 1 - 0.2 = 0.8.
3. Use the binomial probability formula to find the probability of at least 11 boats operating successfully:
P(X ≥ 11) = 1 - P(X ≤ 10), where X is the number of successful boats.
4. Calculate P(X ≤ 10) using the binomial probability formula:
P(X ≤ 10) = ∑[C(16, k) × (0.8)^k × (0.2)^(16-k)], where k ranges from 0 to 10, and C(16, k) is the binomial coefficient or the number of ways to choose k successes from 16 boats.
5. Calculate 1 - P(X ≤ 10) to get the probability of mission success.
After performing the calculations, the probability of mission success is found to be approximately 99.5%, which corresponds to option A.
So, the probability of mission success, given that at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission and each boat has a failure rate of 1 failure per 100 hours, is approximately 99.5%.
Hence, option (A) is correct.
Read more about probability: https://brainly.com/question/13604758
#SPJ11
What is the solution of −83 = b4? A. b = –332 B. b = –87 C. b = –79 D. b = –20.75
Answers
Answer:
the answer is D
Step-by-step explanation:
refer to the picture given
Carter says that 0.08 is equivalent to 8/10. Describe and correct Carter's error
Answers
Answer:
Step-by-step explanation:
If we divide 8 by 10, we get 8/10, which reduces to 4/5 or 0.8. Carter misplaced his decimal point.
Find the value of x. Help!
Answers
Answer:
x =50
Step-by-step explanation:
sum of angles of a quadrilateral is 360
therefore
2x-12 + 3x + 2 + x - 10 + x + 30 = 360
7x + 10 = 360
7x = 350
x = 50
to double check
angles are : 88 + 152 + 40 + 80
So we will ad them and the sum of them will be =360 and then solve for X
Simplify the expression below, where u, v, and w denote suitable positive real numbers. uv uw VW Log + log + log- log(uvw) W 17 u Major Topic Blooms Score Designation EV LOGARITHM 6 b) The decibel gain n of an amplifier is given by: P2 n = 10 log10 (₁) where P1 is the power input and P2 is the power output. Find the power gain P2 when n= 25 decibels. Major Topic Score Blooms Designation LIMITS AN 7 b) Using the method of first principle find the derivative of the function f(x)= -
Answers
1) After simplification: loguv + logvw + loguw -2logv - 2logu - 2logw
Given expression:
log(uv/w) + log(uw/v) + log(vw/u)- log(uvw)
Now simplify using log properties,
log(a/b) = loga - logb
log(ab) = loga + logb
Therefore,
=loguv - logw + loguw -logv + logvw - logu - logu -logv -logw
=loguv + logvw + loguw -2logv - 2logu - 2logw
Hence the simplified form is,
loguv + logvw + loguw -2logv - 2logu - 2logw
2)
Power gain \(P_{2}/ P_{1}\) = 316.22
Given,
n = 10 log(\(P_{2}/ P_{1}\))
n= 25
Now,
25/10 = \(log_{10} \frac{P_{2} }{P_{1} }\)
10^2.5 = \(P_{2}/ P_{1}\)
\(P_{2}/ P_{1}\) = 316.22 .
Hence the power gain in 316.22 .
Know more about logarithm,
https://brainly.com/question/30226560
#SPJ4
Select all expressions that are equivalent to 2( - 2x + 5) +x
1. 3x + 10
2. - 3x + 10
3. 4x + 10 + x
4. -4x + 10 + x
Answers
Answer:
2) -3x+10
4) -4x+10+x
Step-by-step explanation:
Use the distributive property to get rid of the parentheses.
(2 × -2x) + (2 × 5) + x
-4x + 10 +x is correct, but the x's can be combined.
(-4x + x) + 10 = -3x + 10
Write the equation of the output D of Half-subtractor using NOR
gate.
Answers
The equation of the output D of Half-subtractor using NOR gate is D = A'B' + AB, a half-subtractor is a digital circuit that performs the subtraction of two binary digits. It has two inputs, A and B, and two outputs, D and C.
The output D is the difference of A and B, and the output C is a borrow signal.
The equation for the output D of a half-subtractor using NOR gates is as follows:
D = A'B' + AB
This equation can be derived using the following logic:
The output D is 1 if and only if either A or B is 1 and the other is 0.
The NOR gate produces a 0 output if and only if both of its inputs are 1.
Therefore, the output D is 1 if and only if one of the NOR gates is 0, which occurs if and only if either A or B is 1 and the other is 0.
The half-subtractor can be implemented using NOR gates as shown below:
A ------|NOR|-----|D
| |
B ------|NOR|-----|C
The output D of the first NOR gate is the exclusive-OR (XOR) of A and B. The output C of the second NOR gate is the AND of A and B. The output D of the half-subtractor is the complement of the output C.
The equation for the output D of the half-subtractor can be derived from the truth table of the XOR gate and the AND gate. The truth table for the XOR gate is as follows:
A | B | XOR
---|---|---|
0 | 0 | 0
0 | 1 | 1
1 | 0 | 1
1 | 1 | 0
The truth table for the AND gate is as follows:
A | B | AND
---|---|---|
0 | 0 | 0
0 | 1 | 0
1 | 0 | 0
1 | 1 | 1
The equation for the output D of the half-subtractor can be derived from these truth tables as follows:
D = (A'B' + AB)' = (AB + A'B') = AB + A'B' = A'B' + AB
To know more about equation click here
brainly.com/question/649785
#SPJ11
40-32 dived by 8+5-2
Answers
39
40-32÷8+5-2
40-4+3
40-1
39
please help me with these questions
Problem 1: Find the measure of each marked angle. 2. (7x+19) (2x-1)º "V Vest (-3x+5)° (-8x+30) 5. 6. (32-2x)" (10x-10) (2x+18) (8x+14) (12x+40) (20x + 10) mand n are parallel. Problem 2: Identify th
Answers
In Problem 1, the measure of each marked angle is as follows:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.In Problem 2, the angles indicated by the letters in the given figure are as follows:c = 65º, d = 95º, e = 65º, f = 95º, g = 85º, and h = 85º.
Problem 1:The measures of the marked angles are as follows:(7x + 19)º and (-3x + 5)º are supplementary angles since they are the interior angles on the same side of the transversal "V Vest".
Therefore, we can say: (7x + 19)º + (-3x + 5)º = 180º Simplifying, 7x + 19 - 3x + 5 = 180
Combine like terms and solve for x: 4x + 24 = 180 4x = 180 - 24 4x = 156 x = 39 Now substitute x = 39 in the given expressions and find the value of each angle.
(7x + 19)º = (7 × 39 + 19)º = 292º(-3x + 5)º
= (-3 × 39 + 5)º = -112º(-8x + 30)º = (-8 × 39 + 30)º
= -282º(32 - 2x)º = (32 - 2 × 39)º = -46º(10x - 10)º
= (10 × 39 - 10)º = 380º(2x + 18)º = (2 × 39 + 18)º = 96º(8x + 14)º
= (8 × 39 + 14)º = 326º(12x + 40)º = (12 × 39 + 40)º
= 508º(20x + 10)º = (20 × 39 + 10)º = 790º
Therefore, the measures of the marked angles are:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.Problem 2:The angles indicated by the letters in the given figure are as follows: Angle c: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: c = 65º.Angle d: Vertically opposite angles are equal. Therefore, we can say: d = 95º.
Angle e: Alternate interior angles with respect to the parallel lines n and m are equal. Therefore, we can say: e = 65º.Angle f: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: f = 95º.Angle g: Interior angles on the same side of the transversal are supplementary. Therefore, we can say: g = 180º - 95º = 85º.Angle h: Vertically opposite angles are equal. Therefore, we can say: h = 85º.
To know more about angle visit:-
https://brainly.com/question/31818999
#SPJ11
Find the equation of the tangent line to the curve when x has the given value. F(x) = x^2 + 5x ; x = 4 Select one: A. y =13x-16 B. y=-4x/25 +8/5 C. y=x/20+1/5 D.y=-39x-80
Answers
The correct answer for tangent line is A. y = 13x - 16.
What is tangent line?A line that barely touches a curve (or function) at a specific location is said to be its tangent line. In calculus, the tangent line may cross the graph at any other point(s) and may touch the curve at any other point(s).
To find the equation of the tangent line to the curve defined by \(F(x) = x^2 + 5x\) at x = 4, we can use the concept of differentiation.
First, let's find the derivative of F(x) with respect to x. Taking the derivative of \(x^2 + 5x\), we get:
F'(x) = 2x + 5.
Now, to find the slope of the tangent line at x = 4, we substitute x = 4 into F'(x):
F'(4) = 2(4) + 5 = 8 + 5 = 13.
So, the slope of the tangent line is 13.
To find the y-intercept of the tangent line, we substitute x = 4 into the original function F(x):
\(F(4) = 4^2 + 5(4) = 16 + 20 = 36.\)
Therefore, the point (4, 36) lies on the tangent line.
Using the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept, we can write the equation of the tangent line:
y = 13x + b.
To find b, we substitute the coordinates (x, y) = (4, 36) into the equation:
36 = 13(4) + b,
36 = 52 + b,
b = 36 - 52,
b = -16.
Therefore, the equation of the tangent line to the curve \(F(x) = x^2 + 5x\) at x = 4 is:
y = 13x - 16.
Thus, the correct answer is A. y = 13x - 16.
Learn more about tangent lines on:
https://brainly.com/question/31133853
#SPJ4
How long would it take R20000 invested today at a simple interest rate of 9% p.a. to reach an investment goal of R30000.
A Approximately 5.6 years
B Approximately 6.1 years
C Approximately 4.7 years
D Approximately 5.1 years
Answers
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)
find x and y please! ASAP
Answers
The value of x is, 18
And, The value of y is, 18√2.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in figure.
Here, Base length of triangle = 18
Hence, By trigonometric formula;
tan 45° = x / 18
1 = x / 18
x = 18
sin 45° = 18 / y
1/√2 = 18/y
y = 18√2
Hence, The value of x is, 18
And, The value of y is, 18√2.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ1
Select the expression that represents the following statement: multiply 6 by 2, and then subtract 4. (2 points)
2 − 4 x 6
6 x 2 − 4
6 + 6 + 4 − 2
6 x 4 − 2
Answers
Answer:
Step-by-step explanation:
6x2-4..???
what is 4.75=X+60.25)
Answers
Answer:
x=-55.5
Step-by-step explanation:
Which of these sequences of transformations would not return a shape to its original position?
Group of answer choices
1. Translate 3 units up, then 3 units down.
2. Reflect over line p, then reflect over line p again.
3. Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.
4. Rotate 120∘ counterclockwise around center C, then rotate 220∘ counterclockwise around C again.
Answers
Answer:
4. Rotate 120∘ counterclockwise around center C, then rotate 220∘ counterclockwise around C again.
Step-by-step explanation:
Option 1, 2 and 3 will return a shape back to its original because:
1. 3 units up and 3 units down are direct opposite and will cancel out one another. Hence, the shape will return to its initial position.
2. Reflect over line p, and over p again.
This actions are also direct opposite and also have the same effect as (1)
3. Translate 1 unit to the right and 3 units to the right.
This equates to 4 units to the right and it will cancel out the translation of 4 units to the left.
4. Rotate 120 counter clockwise and another 220 counterclockwise will not make a shape go back to its original position.
Hence:
4 answers the question
Plzzz helppp me it’s a test meeee and help with with both number 9 and 10 plzzzz thank you
Answers
Answer:
Pretty sure it’s D
Step-by-step explanation: