The DC value of the obtained sequence x[n] is simply the first element, x[0] = 4.
To compute the DFT of the time sequence x[k] = {1, 1, 1, 1}, we use the following formula:
X[n] = ∑[k=0 to N-1] x[k] * exp(-j * 2π * k * n / N)
where N is the length of the sequence, x[k] is the value of the sequence at index k, X[n] is the value of the DFT at index n, and j is the imaginary unit.
For this sequence, N = 4, so we have:
X[0] = 1 * exp(-j * 2π * 0 * 0 / 4) + 1 * exp(-j * 2π * 1 * 0 / 4) + 1 * exp(-j * 2π * 2 * 0 / 4) + 1 * exp(-j * 2π * 3 * 0 / 4)
= 4
X[1] = 1 * exp(-j * 2π * 0 * 1 / 4) + 1 * exp(-j * 2π * 1 * 1 / 4) + 1 * exp(-j * 2π * 2 * 1 / 4) + 1 * exp(-j * 2π * 3 * 1 / 4)
= 0
X[2] = 1 * exp(-j * 2π * 0 * 2 / 4) + 1 * exp(-j * 2π * 1 * 2 / 4) + 1 * exp(-j * 2π * 2 * 2 / 4) + 1 * exp(-j * 2π * 3 * 2 / 4)
= 0
X[3] = 1 * exp(-j * 2π * 0 * 3 / 4) + 1 * exp(-j * 2π * 1 * 3 / 4) + 1 * exp(-j * 2π * 2 * 3 / 4) + 1 * exp(-j * 2π * 3 * 3 / 4)
= 0
Therefore, the DFT of the sequence x[k] is X[n] = {4, 0, 0, 0}.
To verify this result using MATLAB, we can use the built-in function fft:x = [1 1 1 1];
X = fft(x)This gives us X = [4 0 0 0], which matches our computed result.
The DC value of the obtained sequence x[n] is simply the first element, x[0] = 4.
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1, 3, 9, 27, ... What's the pattern rule and the next three numbers?
Answer:
multiply by three
Step-by-step explanation:
Step-by-step explanation:
1 x 3 = 3 x 3 = 9 x 3 = 27
=> Pattern rule = [tex]3^{n-1}[/tex]
=> The next three numbers = 81 , 243 , 729
Expand the polynomial: (2x+3)^2
Answer:
4x^2+12x+9
Step-by-step explanation:
(2x+3)^2=(2x+3)(2x+3)=4x^2+12x+9
The cost of tickets to a school play are $10 for adults and $6 for children under 12. If there were a total of 100 tickets sold to the play on a certain night, what equation would you use to represent the total ticket sales, T, if the number of adult tickets can be represented by a. Show and explain each step to create the equation.
Answer:
10a+6b=T------------2
Step-by-step explanation:
Given data
Let the number of adults be a
and the number of children be b
we are told that the total tickets is 100
hence
x+y=100-------------1
The cost of adult ticket = $10
The cost of children ticket = $6
since the total cost is T
Hence
10a+6b=T------------2
Which properties were used to prove that the expressions 7x+4-x-2 and 6x+2 are equivalent?
Answer:
12
Step-by-step explanation:
12
what is the degree of the polynomial ? 6x^3y^5+8y^6
Answer:
degree 8
Step-by-step explanation:
The degree of a polynomial is determined by the largest exponent of the variable in the polynomial.
6x³[tex]y^{5}[/tex] ← has degree 3 + 5 = 8
8[tex]y^{6}[/tex] ← has degree 6
Thus the polynomial is of degree 8
someone please help!!
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Quadratic formula.
Since we know that, for
[tex]a {x}^{2} + bx + c = 0[/tex]
For this quadratic equation, the formula is :
[tex] \frac{ - b - + \sqrt{ {b}^{2} } - 4ac }{2a} [/tex]
so we apply it here,
so we get as,
[tex] \frac{ - 5 + - \sqrt{25 - 24} }{6} [/tex]
option C is correct.
Answer:..........
Step-by-step explanation:
Si: a + b + c = 18
hallar: abc + bca + cab
Answer:
abc + bca + cab
abc(1+1+1)
3×18
54
Answer:
54
Step-by-step explanation:
a + b + c = 18
abc + bca + cab = ???
18 / 3 = 6
a = ? = 6
b = ? = 6
c = ? = 6
(6 + 6 + 6) + (6 + 6 + 6) + (6 + 6 + 6)
(18) + (18) + (18)
abc + bca + cab = 54
The 28 students in Mrs. Colby's class will share 98 slices of
pizza equally
How many slices will each student get?
Answer:
3 1/2 slices each
Step-by-step explanation:
98/28=3.5
Answer:
Every student will get 3 to 4 slices of pizza
Step-by-step explanation:
This is because you need to divided 98 with he 28 student, which you will get 3.5. That is the correct answer, but the question asked equally, so each student will get 3 to 4 slices of pizza.
Hope this helped
25% of N is 12. Solve for N. Just put the number.
Answer:
25% of 48 = 12
Step-by-step explanation:
12 ÷ 25% = 12 ÷ 0.25 = 48
Answer: Divide each term by 25 % and simplify.
N = 48
Step-by-step explanation:
The bill at the restaurant was $18.79 estimate the amount to leave as a $10 tip. A. $2.00 B. $3.00 C. $9.00 D. $21.00
Answer: The correct option is A: $2.00
Step-by-step explanation:
The question should be:
"The bill at the restaurant was $18.79 estimate the amount to leave as a 10% tip. A. $2.00 B. $3.00 C. $9.00 D. $21.00"
The general case is:
When we have a quantity A (where A is the 100%) the X% of A is:
(X%/100%)*A
In this problem, we have a bill of $18,79 and we want to leave a 10% tip.
Then $18,79 is the 100% we want to see how much is the 10% of $18,79
If we use the above equation we get:
Tip = (10%/100%)*$18,79 = $1,879
The option that approaches the best to this amount is option A, $2.00
Then the tip should be $2
The correct option is A.
The hypotenuse of a right triangle measures 15 cm and one of its legs
measures 5 cm. Find the measure of the other leg. If necessary, round to the
nearest tenth
Answer:
√200 or 14.1
Step-by-step explanation:
Pythagoras' Theorem: a²+b²=c²
Rearrange to get b² (one of the smaller sides): c²-a²=b²
225-25=200
√200 = 14.1
Answer:
14.1 I hope this helps! Brainliest please!
Step-by-step explanation:
So we use the Pythagorean theorem which is a squared + b squared = c squared. C is the hypotenuse. So we do:
15 squared - 5 sqaured = b squared
225 - 25 = b squared
200 = b squared
14.1 = b
HELP HELP HELP HELP HELP HELP HELP HELP
Answer:
same to me HAHAHAawitawit H E L P pls and thank you :)
The estimate obtained from a sample of which size is likely to be closest to the actual parameter value of a population?
A. 84
B.112
C.12
D.184
Answer:
184 D
Step-by-step explanation:
A sample size of 184, is more likely to provide an estimate closest to the actual parameter value of the population.
Option D is the correct answer.
What is the population parameter?It is typically unknown and can only be estimated using sample data.
The goal of statistical inference is to use the information in a sample to make inferences or d
A population parameter is a numerical value that describes a characteristic of a population, such as the mean or standard deviation.
We have,
The estimate obtained from a larger sample size is likely to be closer to the actual parameter value of a population.
This is because a larger sample size reduces the effects of sampling variability and random errors, resulting in a more accurate estimate of the population parameter.
Thus,
A sample size of 184, is more likely to provide an estimate closest to the actual parameter value of the population.
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Solve the quadratic equation x2+8x−30=0 by completing the square.
What are the solutions to the quadratic equation, if any?
x=4±46−−√
This equation has no real solutions.
x=4±34−−√
x=±46−−√
Answer:
[tex]\bold{x=-4\pm\sqrt{46}}[/tex]
Step-by-step explanation:
[tex](a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}[/tex]
The solution to the quadratic equation by completing the square will be
x = -4 ± √46. The correct option is A.
What is a quadratic equation?It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given equation will be solved as below:-
x² + 8x − 30 = 0
Completing the square for the above equation.
( x + 4 )² - 16 - 30 = 0
( x + 4 )² = 46
x + 4 = ±√46
x = ±√46 - 4
Therefore, the solution to the quadratic equation by completing the square will be x = -4 ± √46. The correct option is A.
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simplify the expression
16+(-5)-2/5j-4/5j+6
Answer:
17 - 6j / 5
Step-by-step explanation:
Solve for a
djəН
12
a =
✓ [?]
10
a
Pythagorean Theorem: a2 + b2 = c2
Enter
Answer:
a=[tex]\sqrt{44}[/tex]
Step-by-step explanation:
A^2+B^2=C^2
Substitute the values for what you know so:
a^2+10^2=12^2
Simplify:
a^2+100=144
-100 -100
------------------------
A^2=44
A=[tex]\sqrt{44}[/tex]
Help!!!!!!!!!!!!! BRAINLIST WILL BE REWARDED
Answer:
135
Step-by-step explanation:
supplementary angles: either of two angles whose sum is 180°.
180 - 45 = 135
-4x + 8x - 6x
i don’t know what x is and that’s all i have. if anyone can help it would be helpful. the other questions are-
-3n/8 + 2n/8 - n/8
-4a - a/3
5b/8 + -2b/3
Answer:
The answer are
[tex]34 = - 2x \\ 35 = - \frac{1}{4} n \\ 36 = - \frac{13}{3} a \\ 37 = - \frac{1}{24} b[/tex]
6 times the difference of d and 5
Answer:
6(d - 5)
Step-by-step explanation:
Answer:
d-30
Step-by-step explanation
6*5 the do d- that which is d-30
What is the equation of the line that passes through the point (-5, -4) and has a
slope of -3/5
Answer:
y=-3/5x-7
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=-3/5(x-(-5))
y+4=-3/5(x+5)
y=-3/5x-15/5-4
y=-3/5x-3-4
y=-3/5x-7
state true or false :every natural number is a whole number
Answer:
true , because natural number is starte on no.1 to infinity but whole no. is started on 0 to infinity so it is true .
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The whole numbers are the numbers 0, 1, 2, 3, 4, and so on (the natural numbers and zero). Negative numbers are not considered "whole numbers." All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number.
PLEASE HELP ILL MARK BRAILIEST!!!
P.S please show how you figured it out
Answer:
I think that the answer is either B or C
Step-by-step explanation:
I concluded to this answer simply by looking at where the lines were placed.
Remember that if a line is not touching, but next to another line, they are parallel to each other? Well, that doesn't change here. since, {m angle 1} and {m angle 2} added together equal 180, I would believe that the answer is C, but I may be wrong.
Well, I hope that helps :)
Suppose an ordered pair is not a solution of y > x + 10. Must it be a solution to y < x + 10? Explain. 50 points!!!!
Answer:
I think when u substitute the order pair for x and y Into the equation the y is gonna be les than the x + 10
Step-by-step explanation:
K so am confused abt ur question but here
example (2,5)
y < x + 10
substitute 2 for x and 5 for y
5 < 2 + 10
5 < 12
y is less than x + 10
A cylinder has a volume of 48π cm3 and height h. Complete this table for volume of cylinders with the same radius but different heights.
height (cm) volume (cm3)
h 48π
2h ? answer in pi
5h ? answer in pi
h/2 ? answer in pi
h/5 ? answer in pi
Answer:
(i) For [tex]2\cdot h[/tex], the volume is [tex]96\pi[/tex] cubic centimeters.
(ii) For [tex]5\cdot h[/tex], the volume is [tex]240\pi[/tex] cubic centimeters.
(iii) For [tex]\frac{h}{2}[/tex], the volume is [tex]24\pi[/tex] cubic centimeters.
(iv) For [tex]\frac{h}{5}[/tex], the volume is [tex]9.6\pi[/tex] cubic centimeters.
Step-by-step explanation:
The volume of the cylinder ([tex]V[/tex]), measured in cubic centimeters, is defined by the following formula:
[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)
Where:
[tex]r[/tex] - Radius, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
From statement, we understand that volume of the cylinder is directly proportional to its height. That is:
[tex]V \propto h[/tex]
[tex]V = k\cdot h[/tex] (2)
Where [tex]k[/tex] is the proportionality constant, measured in square centimeters.
In addition, we eliminate this constant by constructing the following relationship:
[tex]\frac{V_{2}}{V_{1}} = \frac{h_{2}}{h_{1}}[/tex]
[tex]V_{2} = \frac{h_{2}}{h_{1}} \cdot V_{1}[/tex] (3)
Based on (3) and knowing that [tex]V_{1} = 48\pi[/tex], we calculate the volumes for each height ratio:
(i) For [tex]2\cdot h[/tex], the volume is [tex]96\pi[/tex] cubic centimeters.
(ii) For [tex]5\cdot h[/tex], the volume is [tex]240\pi[/tex] cubic centimeters.
(iii) For [tex]\frac{h}{2}[/tex], the volume is [tex]24\pi[/tex] cubic centimeters.
(iv) For [tex]\frac{h}{5}[/tex], the volume is [tex]9.6\pi[/tex] cubic centimeters.
HELP
will give brainliest
Answer:
y= 3x+2
I hope this helped :)
OK this is another question which I need help on please please help if you can. CAUSED ME MUCH DISTRESS
Answer:
15 = 2x - 3y
Step-by-step explanation:
We have the two points P1(3,-3) and P2(9,1).
First, calculate the slope between those points:
slope [tex]= \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{9 - 3} = \frac{4}{6} = \frac{2}{3}[/tex]
Now simply move 3 steps from (3,-3) towards the y-axis to get the intersection with the y-axis (each step reduces x by 1 and applies the slope to the y-value):
(3,-3)
---> (2, -3 - (2/3)) = (2,-3 2/3)
---> (1, (-3 2/3) - 2/3) = (1, -4 1/3)
---> (0, (-4 1/3) - 2/3) = (0,-5)
This tells us, that our line intersects the y-axis at (0,-5).
The general form of a line is f(x) = <SLOPE> * x + <Y-VALUEATXEQUALSZERO>.
In our case: f(x) = y = (2/3)x -5.
To get it into the correct form, we simply subtract y from both sides and get:
0 = (2/3)x - y - 5
To get only integers just multiply everything with 3 and add 15 and get:
15 = 2x - 3y, which fulfils the form asked for in the problem.
Samaia buys two water bottles and three bags of chips for $9.45. Abdullah goes to the same store and buys four water bottles, as Samaia, and five bags of chips, same as ones Samaia bought, for $14.75. Which choice below accurately represents a system of equations, w for water bottles and c for chips, for this scenario? Each water bottle is same price and each bag of chips is same price. * A) 3w + 2c = 9.45 AND 5w + 4c = 14.75 B) 2w + 3c = 9.45 AND 4w + 5c = 14.75 3) 2w + 3c = 14.75 AND 4w + 5c = 9.45 D) 5c + 9w = $24.20
Answer:
B) 2w + 3c = 9.45 AND 4w + 5c = 14.75
Step-by-step explanation:
Let us represent:
Number of water bottles = w
Number of bag of chips = c
Hence:
Samaia buys two water bottles and three bags of chips for $9.45.
2w + 3c = 9.45......Equation 1
Abdullah goes to the same store and buys four water bottles, as Samaia, and five bags of chips, same as ones Samaia bought, for $14.75.
4w + 5c = 14.75......Equation 2
Which choice below accurately represents a system of equations, w for water bottles and c for chips, for this scenario?
Option B) 2w + 3c = 9.45 AND 4w + 5c = 14.75 is the correct option.
If f(x) = 12 – 2 and g(x) = x + 3, find all values of x, to the nearest tenth, for
which f(x) = g(x).
Answer:
x=7
Step-by-step explanation:
f(x) =g(x)
12-2=x+3
10=x+3
10-3=x
x=7
Allison sells apples at the market. On a given day, the ratio of red delicious to Macintoshes to granny smiths sold is 4:3:2. If her truck can carry 180 bushels of apples, how many bushels of granny smiths should she include? *
Answer:
40
Step-by-step explanation:
80+60+40=180
There is 20 more of each type of apple
Help pleaseee
The figure
Answer:
the 4th one pentagonal prism
Answer:
pentagonal prism
Step-by-step explanation:
it doesn't resemble a pyramid, so it could only be a prism, and it isn't a rectangular one, cause it has two pentagons, on top and bottom