Answer:
D
Step-by-step explanation:
Find the Laplace transform where of the function f(t) =
{ t, 0 < t < {π + t π < t < 2π where f(t + 2 π) = f(t).
The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...
= (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]
Given function is,f(t) ={ t, 0 < t < π π < t < 2π}
where f(t + 2 π) = f(t)
Let's take Laplace Transform of f(t)
L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...f(t + 2π) = f(t)
∴ L{f(t + 2 π)} = L{f(t)}⇒ e^{2πs}L{f(t)} = L{f(t)}
⇒ [e^{2πs} − 1]L{f(t)} = 0L{f(t)} = 0
when e^{2πs} ≠ 1 ⇒ s ≠ 0
∴ The Laplace Transform of f(t) is
L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...
= (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...
= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]
The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...
= (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]
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a standard six-sided die is rolled. what is the probability of rolling a number equal to 1 ? express your answer as a simplified fraction or a decimal rounded to four decimal places.
Answer:
1/6 = 0.1667
Step-by-step explanation:
sample space = 6
the probability of rolling a number equal to 1 = 1/6
If 9 garden hoses cost $196.83 and the price of each hose is the same how much does each hose cost?
Answer:21.87
Step-by-step explanation:
196.83 divided by 9
Answer:
They each cost $21.87
Step-by-step explanation:
If each hose costs the same you can just divide the total (196.83) by the number of hoses (9) to get 21.87.
How do you divide fast without a calculator?
The simplest way to perform a division is long division and synthetic division.
What is division?
Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.
There are two methods to perform division:
Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.
Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.
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Write a function: def solution(A) that, given an array A of N integers, returns True if A contains at least two elements which differ by 1 , and Fal se otherwise. Examples: 1. Given A= [7], the function should return False. 2. Given A=[4,3], the function should return True. 3. Given A=[11,1,8,12,14], the function should return True. Pair of elements which differ by 1 is (11,12). 4. Given A=[4,10,8,5,9], the function should retum True. Pairs of elements which differ by 1 are (4,5),(10,9) and (8,9). 5. Given A=[5,5,5,5,5], the function should retum Fal se. There are no two elements in A whose values differ by 1.
The function either sorts elements and loops the array or uses a hash set to check for adjacent elements differing by 1.
def solution():
# Take user input as a comma-separated string and split it into an array
A = input("Enter the array elements: ").split(",")
A = [int(elem) for elem in A] # Convert the strings to integers
# Create a hash set to store the elements
seen = set()
# Loop through the array and check if any element's neighbors differ by 1
for elem in A:
if elem - 1 in seen or elem + 1 in seen:
return True
seen.add(elem)
# If no adjacent elements differ by 1, return False
return False
# Call the function and print the result
print(solution())
Explanation:
We create a hash set called seen to store the elements we have seen so far.We loop through the array, and for each element, we check if its neighbor (i.e., elem-1 or elem+1) is in the seen set. If we find such a pair, we immediately return True.If we reach the end of the loop and have not found any adjacent elements that differ by 1, we return False.Learn more about sorting elements in the array at
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please let me know if I did it good and lmk if I did anything wrong ( finding area )
The answer too this??? And how to solve
alright then, 12x + 17 = 66! we started with 17 and there is twelve months with x amount of inches grown plus the already 17 that equals the total 66
so it is 12x + 17 = 66
Answer:
B. 12x + 17 = 66
Step-by-step explanation:
\({.}\)
Which are steps in the process of completing the square used to solve the equation 3 – 4x = 5x2 – 14x? Check all that apply.
3 = 5(x2 + 2x)
3 = 5x2 – 10x
4 = 5(x2 – 2x + 1)
8 = 5(x2 – 2x + 1)
3 = 5(x – 1)2
4 = 5(x – 1)2
StartFraction 8 Over 5 EndFraction = (x – 1)2
Answer:
1. 3 = 5x2 – 10x
2. 8 = 5(x2 – 2x + 1)
3. StartFraction 8 Over 5 EndFraction = (x – 1)2
Step-by-step explanation:
3-4x=5x^2-14x
3=5x^2-14x+4x
3=5x^2-10x
5x^2-10x-3=0
1. 3 = 5x2 – 10x
2. 8 = 5(x2 – 2x + 1)
8=5x^2-10x+5
8-5=5x^2-10x
3=5x^2-10x
3. StartFraction 8 Over 5 EndFraction = (x – 1)2
8/5=x^2-2x+1
Cross product
8=5(x^2-2x+1)
8=5x^2-10x+5
8-5=5x^2-10x
3=5x^2-10x
Answer:
3 - 4x = 5x2 - 14x
= 3 - 5x2 = - 14x + 4x
= 3 - 10 = 10x
= 7 = 10x
= x = 7/10
= x = 0.7
Step-by-step explanation:
Write the quotient and remainder when we divide (x^3 -4x^2 + 2x + 5) by (x - 2)
Answer:
Step-by-step explanation:
Sorry I can't explain how it is done. It is very difficult to explain on paper.
What is the domain and range of the function f(x)=2.5^x-6?
Answer:
uh
Step-by-step explanation:
i dont know
Part A. Jasmine wanted to cut some ribbon into 4 pieces, each 3 2/5 feet long. How big a piece of ribbon did she need to start with?
Part B. When she went to the fabric store, they only had enough ribbon for her to make 2 1/2 pieces that were as long as she wanted. How much ribbon did the fabric store have?
Answer:
pa answer din po please!!
Find the volume of each (show work)
The volume of each solid is approximately: a. 2,280.8 cubic feet.
b. 113.1 cubic cm. c. 268.1 cubic cm. d. 26.7 cubic in.
How to Find the Volume of Solids?a. The solid is half of a sphere, therefore, the formula for finding the volume is:
V = (2/3)πr³, where r is the radius = 33 ft
Substitute:
Volume (V) = (2/3)π * 33³ ≈ 2,280.8 cubic feet.
b. The solid is sphere, therefore, the formula for finding the volume is:
V = (4/3)πr³, where r is the radius = 6/2 = 3 cm
Substitute:
Volume (V) = 4/3*π*3³ ≈ 113.1 cubic cm.
c. The solid is a cone, therefore, the formula for finding the volume is:
V = 1/3*πr²h where r is the radius = 8 cm, height (h) = 4 cm
Substitute:
Volume (V) = 1/3*π*8²*4 ≈ 268.1 cubic cm.
d. The solid is a square pyramid, therefore, the formula for finding the volume is:
V = 1/3*a²h
where a is the base length = 4 in., height (h) = 5 in.
Substitute:
Volume (V) = 1/3*4²*5 ≈ 26.7 cubic in.
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Combine the like terms to create an equivalent expression:
\large{-5+(-5r)+10}−5+(−5r)+10
Answer:
−10r +10
Step-by-step explanation:
Let's simplify step-by-step.
−5−5r+10−5−5r+10
=−5+−5r+10+−5+−5r+10
Combine Like Terms:
=−5+−5r+10+−5+−5r+10
=(−5r+−5r)+(−5+10+−5+10)
=−10r+10
Answer:
−5r+5
Step-by-step explanation:
Arturo buys 3 containers of ice cream for $5 each and
a cake that costs $8 to take to his friend's party.
Which expression
will allow you to find how much money Arturo spent on ice cream
and cake?
A: $8 x 3 x $5
B: (3 x $5) + $8
C: (3 x $8) + $5
D: 3 x ($5 + $8)
Answer:B
Step-by-step explanation: In order to figure out which equation this is you will need to first read that the question says Arturo buys 3 containers of ice cream and each one is $5 so that's how you get (3 x $5) and he also buys the $8 Cake so you have to add that in too which gets you to (3 x $5) + $8.
54 divided by 2,263????????
Answer:
0.02386212991
Step-by-step explanation:
Answer:
0.0238621299
Find the missing length.
Answer:
X = 25
Step-by-step explanation:
We can calculate the value of x using Euclidean theorem
15^2 = 9 × x
225 = 9x divide both sides by 9
25 = x
Please help this is very important! I’LL GIVE 50 POINTS!! <33
Answer:
5·5·5·5·y·y·y·y·y·y·y
Step-by-step explanation:
5·5·5·5·y·y·y·y·y·y·y
Expanded form just means to right the expression out without the exponents.
Determine whether the distribution represents a probability distribution. X 3 6 0.3 0.4 P(X) Oa. Yes b. No 9 0.3 0.1
The distribution does not represent a probability distribution. The correct option is b.
A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).
In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.
Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.
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-9 times the total of a number and 3
Let the number be x
Then -9 times the total of a number and 3 will be
= -9 (x + 3)
The answer is Negative 12.
Noah is helping to collect the entry fees at his school’s sports game. Student entry costs $2.75 each and adult entry costs $5.25 each. At the end of the game, Diego collected $281.25.
Select all equations that could represent the relationship between the number of students, s, the number of adults, a, and the dollar amount received at the game.
A. 281.25-525a=2.75s
B. a=53.57-2.75/5.25s
C. 281.25-5.25s=a
D. 281.25+2.75a=s
F. 281.25+5.25s=a
Answer:
A. 281.25-525a=2.75s
Step-by-step explanation:
The equations that could represent the relationship between the number of students, s, the number of adults, a, and the dollar amount received at the game is 281.25 – 5.25a = 2.75s
Mr. Brown purchased 5.75 pounds of chicken that cost $2.40 per pound.
What is the total the Mr. Brown paid?
Answer:
8.15 is the answer
Step-by-step explanation:
A 95% confidence interval for the mean reading achievement score for the population of third grade students is (44.2, 54.2). The margin of error of this interval is
a. 95%
b. 2.5 c. 54.2
d. 5
e. The answer cannot be determined from the given information
The answer to the question is (d) 5. The margin of error of the confidence interval is calculated by subtracting the lower bound from the upper bound and then dividing by 2. In this case, the margin of error is (54.2 - 44.2) / 2 = 5.
A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence. In this case, we are given a 95% confidence interval for the mean reading achievement score for the population of third grade students. The interval is (44.2, 54.2), which means that we are 95% confident that the true mean reading achievement score for the population of third grade students is between 44.2 and 54.2.
The margin of error is the amount of error that is allowed for in a confidence interval. It is calculated by subtracting the lower bound from the upper bound of the interval and then dividing by 2. In this case, the margin of error is (54.2 - 44.2) / 2 = 5. This means that the actual mean reading achievement score for the population of third grade students is likely to be within 5 points of the sample mean reading achievement score.
The answer cannot be (a) 95% because the 95% confidence level refers to the level of confidence in the interval, not the margin of error. The answer cannot be (b) 2.5 or (c) 54.2 because they do not represent the margin of error for the interval. Therefore, the correct answer is (d) 5.
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What is reciprocal of the number 5
Answer:
1/5
Step-by-step explanation:
5 = 1/5
6= 1/6
1/6= 6/1 (or just 6)
5/6= 6/5
Do you see the pattern?
Every number has a reciprocal except for 0. There is nothing you can multiply by 0 to create a product of 1, so it has no reciprocal.
Answer:
1/5.
Step-by-step explanation:
When referring to a reciprocal, it basically means taking the numerator and the denominator and flipping them.
For example, take 4/5. The reciprocal of 4/5 would be 5/4.
Now, take 5. As a fraction, it would look like 5/1. If you were to flip it, it would be 1/5.
Therefore, the reciprocal of 5 is 1/5.
Help I need this pls provide expnation too thx
jaffar bought 5 books. the prices of 4 of the books are $15, $16, $17, and $19. the average he paid for the 5 books is $17. how much did he pay for the fifth book?
Answer:
$18-----------------------
The average price Jaffar paid for the 5 books is $17.
To find the total cost of the 5 books, we multiply the average price by the number of books:
$17 * 5 = $85Now, we'll add up the prices of the first four books:
$15 + $16 + $17 + $19 = $67Finally, we'll subtract the sum of the first four books from the total cost to find the price of the fifth book:
$85 - $67 = $18So, Jaffar paid $18 for the fifth book.
Anthony has a part-time job. He decides to save $10 for every $50 that he spends. Final question: If Anthony saved $60, how much money did he earn?
Answer:
300$
Step-by-step explanation:
If he save 10 for every 50, you just divide. 60/10 = 6. He saved 6 times, if each time he saves he has 50 extra dollars, 6 * 50 = 300 because 6*5 = 30 and there is a extra 0 so 30 and 0 is 300
Oceanside Bike Rental Shop charges 18 dollars plus 8 dollars an hour for renting a bike. Mary paid 74 dollars to rent a bike. How many hours did she pay to have the bike checked out ?
Answer: 7 hours! you do 74-18 to get 56 then you divide 56 by 8 to get 7.
Step-by-step explanation:
hope this helps!!
List the elements of each of the following sample spaces: (a) the set of integers between 1 and 50 divisible by 8. (b) the set S = {x | x2 + 4x − 5 = 0}. (c) the set of outcomes when a coin is tossed until a tail or three heads appear. (d) the set S = {x | 2x − 4 ≥ 0 and x < 1}.
a)
{8, 16, 24, 32, 40, 48, -8, -16, -24, -32, -40, -45}
b)
S = {-5, 1}
c)
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
d)
S = Ф
What is a set?A set is a collection of items where there are operations such as:
Union of sets, the intersection of sets, and the complement of sets.
We have,
(a)
The set of integers between 1 and 50 is divisible by 8.
= {8, 16, 24, 32, 40, 48, -8, -16, -24, -32, -40, -45}
(b)
The set S = {x | x² + 4x − 5 = 0}.
Solve for x.
x² + 4x - 5 = 0
x² + (5 - 1)x - 5 = 0
x² + 5x - x - 5 = 0
x(x + 5) - 1(x + 5) = 0
(x + 5) (x - 1) = 0
x = -5x + 5 = 0
x - 1 = 0
x = 1
So,
S = {-5, 1}
(c)
The set of outcomes is when a coin is tossed until a tail or three heads appear.
A coin is tossed 3 times.
{H, T} {H, T} {H, T}
= {HH, HT, TH, TT} {H, T}
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
(d)
The set S = {x | 2x − 4 ≥ 0 and x < 1}.
When x = 0,
2 x 0 - 4
= - 4 ≥ 0 (not true)
When x = -1,
2 x (-1) - 4
= -2 - 4
= -6 ≥ 0 (not true)
We see that there are no such x values.
So,
S = Ф (null set) = empty set.
Thus,
The solution for each part is given above.
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How much paint will you need to paint all sides of the box shown below? 4m 13m 4m 4m 11m
To paint all sides of the box, you would need approximately 344 square meters of paint.
To calculate the amount of paint needed to paint all sides of the box, we first need to find the total surface area of the box.
The box has five sides: top, bottom, front, back, and two sides.
Given the dimensions:
Top: 4m x 13m
Bottom: 4m x 13m
Front: 4m x 4m
Back: 4m x 4m
Sides (2): 4m x 11m.
To calculate the surface area, we sum the areas of all the sides:
Surface Area = (4m x 13m) + (4m x 13m) + (4m x 4m) + (4m x 4m) + (4m x 11m) + (4m x 11m)
Surface Area = 52m² + 52m² + 16m² + 16m² + 44m² + 44m²
Surface Area = 224m² + 32m² + 88m²
Surface Area = 344m²
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what point lies on y-2=5(x-6)
Answer: (0, -28)
Step-by-step explanation:
Turn this equation into slope-intercept form.
y-2=5x-30
y=5x-28.
Because the y-intercept is -28, the point (0,-28) must be on the line.
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