(a)H(s) is the transfer function the frequency response by substituting s with jω as: H(jω)=1/(jω+2) . (b)|H(jω)| is maximum at ω=0 and decreases as ω increases. (c)since it allows low frequencies to pass through and attenuates high frequencies. (d) Therefore, the cutoff frequency of the LPF is 2.82 rad/s.
a) The Laplace transform of the given differential equation will be: sY(s)+2Y(s)=X(s)solving for Y(s), we have the transfer function of the filter as: H(s)=Y(s)X(s)=1/(s+2)Since H(s) is the transfer function, we can find the frequency response by substituting s with jω as: H(jω)=1/(jω+2)
b) To plot the magnitude of H(jω), we can use the absolute value of the frequency response as: Magnitude |H(jω)|=|1/(jω+2)|=1/sqrt(ω^2+4)From the equation, we can see that |H(jω)| is maximum at ω=0 and decreases as ω increases.
c) The given filter is a Low Pass Filter (LPF) since it allows low frequencies to pass through and attenuates high frequencies.
d) The cutoff frequency is the frequency at which the filter response is attenuated by 3 dB. Since the magnitude of H(jω) is given by:|H(jω)|=1/sqrt(ω^2+4)3 dB attenuation occurs at |H(jω)|=1/sqrt(2), so we can write:1/sqrt(2)=1/sqrt(ωc^2+4)ωc=2.82 rad/s
Therefore, the cutoff frequency of the LPF is 2.82 rad/s.
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You and 3 friends go bowling. You bowl for 2.5 hours. You play 3 games and the total cost is $42.
Find the average rate of games per hour
Answer:
if you play 3 games and the total cost equals to 42
then just do 42 divided by 3 which is 14 so that should be your answer!
Step-by-step explanation:
im very sorry if i get it wrong im only trying to help
so i hope its correct
If rectangle RSTU has vertices R(7,0)
and S(5,6)
and has an area of 20 square units, what is the approximate distance from S to T?
The distance between S and T is the width of the rectangle is 3.16 units.
What is distance formula?To calculate the distance between two points in a coordinate plane, use the following formula. distance = √((x2 - x1)² + (y2 - y1)²)
To use the formula, we simply enter the coordinates of the two points, where x1 and y1 stand in for the first point's coordinates and x2 and y2 stand in for the second point's coordinates. The Pythagorean theorem is used to obtain the hypotenuse of a right triangle with those distances as its legs. The formula works by determining the horizontal and vertical distances between the two locations (which are represented by the differences in the x-coordinates and y-coordinates).
Given that the coordinates of R and S are R(7,0)
and S(5,6).
Using the distance formula we have:
RS = √((5-7)² + (6-0)²)
RS = √(40) = 6.32
Given that the area of the rectangle is 20.
Thus,
A = lw
20 = 6.32(w)
w = 3.16
Hence, the distance between S and T is the width of the rectangle is 3.16 units.
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This exercise refers to a standard deck of playing cards. assume that 5 cards are randomly chosen from the deck. how many hands contain exactly two 3s and two 6s?
The total number of hands that contain exactly two 3s and two 6s is: 6 * 6 * 44 = 1584.
To find the number of hands that contain exactly two 3s and two 6s when 5 cards are randomly chosen from a standard deck of playing cards, we can use combinatorics.
First, we need to choose the two 3s from the four 3s in the deck. This can be done in (4 choose 2) = 6 ways.
Next, we need to choose the two 6s from the four 6s in the deck. This can also be done in (4 choose 2) = 6 ways.
After selecting the 3s and 6s, we have one remaining card to choose from the remaining 44 cards in the deck.
Thus, the total number of hands that contain exactly two 3s and two 6s is: 6 * 6 * 44 = 1584.
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State if the three numbers can be the measures of the sides of a triangle.
17, 19,7
A) yes
B) no
Explanation of how we can make (a) subject
Answer:
Step-by-step explanation:
graph y=1/2x+2 please explain
Answer:
Step-by-step explanation:
y=1/2x+2
1/2 is the slope, which means the graph increases by 1/2
the y intercept is how the slope increases
so the slope increase 1/2 +2
The graph of y=1/2x+2 is shown in figure below
How do we make graph of a function?Suppose the considered function whose graph is to be made is
f(x)
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values
f(x)are plotted on the vertical axis.
They are together plotted on the point
(x,y) = (x, f(x))
This is why we usually write the functions as:
y = f(x)
Given;
y=1/2x+2
Here, 1/2 is the slope, which means the graph increases by 1/2
the y intercept is how the slope increases;
Hence, the slope increase 1/2 +2
The graph of the given function;
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What does an extension ladder's size classification indicate?
Select one:
a.The minimum reach when placed at the appropriate climbing angle
b.The ladder's length when the fly section is not extended
c.The maximum building height against which the ladder can be raised
d.The full length to which it can be extended
The correct answer is (D) The full length to which it can be extended.
The size classification of an extension ladder indicates the full length to which it can be extended.
An extension ladder's size classification indicates the total length the ladder can reach when its fly section is fully extended.
This helps users determine if the ladder will be long enough for their specific needs when working at height.
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9. Choose the correct solution and graph for the inequality.
Answer:
x ≤ -9
Step-by-step explanation:
x-3 ≤ -12
x ≤ -12+3 (Isolate x)
x ≤ -9
The price of an object with 13% value added tax is 5763 . what will be the value added tax amount ? find it
Answer:
100. ~113
x ~ 5763(assume that X is price without VAT)
100×5763=113×x
X. =(5763×100)/113. (5763/113=51)
X= 51×100
X =5100
VAT=5763-5100
=RS.663
Given:
Interest rate,
13%Object price,
5763The value added tax will be:
→ \(\frac{13 \ percent}{100+13} = \frac{VAT}{5763}\)
→ \(VAT = 5763\times \frac{0.13}{1.13}\)
\(= 663\)
Thus the approach above is right.
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there are different levels and combinations of concerns among individual students. what is the rationale that supports this statement?
The rationale that supports this statement is:
Situational experiences are interpreted differently.
Now, According to the question:
Let's Know:
What is the Rationale of the Study?
The rationale of the study explains the reason why the study was conducted (in an article or thesis) or why the study should be conducted (in a proposal). This means the study rationale should explain to the reader or examiner why the study is/was necessary.
We know that :
There are different levels and combinations of concerns among individual students.
Hence, The rationale that supports this statement is:
Situational experiences are interpreted differently.
In the question;
There are different levels and combinations of concerns among individual students.
what is the rationale that supports this statement?
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Mang inasal example their facilitating product
Mang Inasal's facilitating products aim to enhance the customer experience by offering additional value to their already delicious and affordable meals.
Mang Inasal, a popular fast food chain in the Philippines, offers a variety of facilitating products that enhance the dining experience for its customers. One example of their facilitating product is their unlimited rice offer.
Filipinos love to pair their meals with rice, and Mang Inasal has taken advantage of this by offering unlimited rice with their main dishes. This facilitating product allows customers to enjoy their meals to the fullest without worrying about running out of rice.
Another example of Mang Inasal's facilitating product is their "sawsawan" or condiment station. The condiment station offers different sauces and condiments that customers can mix and match to their liking. This allows customers to personalize their meals according to their taste preferences.
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Dawn and Pablo are members of a normally distributed population that is being sampled. If the chance of Dawn being included in the sample is 0. 05%, what must the chance of Pablo being included in the sample be in order to be able to make inferences about the population based on the sample? 0% greater than 0% and less than 0. 05% 0. 05% greater than 0. 5%.
To make inferences about a population based on a sample, the chance of Pablo being included in the sample must be greater than 0% and less than 0.05%.
In statistical inference, it is important to have a representative sample from a population in order to draw conclusions about the entire population. In this scenario, if the chance of Dawn being included in the sample is 0.05%, it means that Dawn is a rare occurrence in the population.
To ensure that the sample is representative and allows for meaningful inferences, the chance of Pablo being included in the sample should also be greater than 0% but less than 0.05%. This means that Pablo should have a probability of being selected that falls within the same range as Dawn.
By having both Dawn and Pablo included in the sample, it increases the likelihood of capturing the variability and characteristics of the population. This allows for a more accurate representation and the ability to make reliable inferences about the entire population.
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the region bounded by the given curves is rotated about the specified axis. find the volume v of the resulting solid by any method. y
The volume of the resulting solid is (26π/3) cubic units.
To find the volume of the solid generated by rotating the region bounded by the curves x = (y - 6)², x = 25, about the axis y = 1, we will integrate the cylindrical shells along the y-axis.
The limits of integration for y are from y = 1 to y = 11, as determined earlier.
The differential volume of a cylindrical shell is given by dV = 2πrh dy, where r is the distance from the axis of rotation to the curve, h is the height of the cylindrical shell, and dy is the thickness of the shell.
In this case, the radius of the cylindrical shell is r = 1, and the height of the cylindrical shell is h = x₁ - x₂ = 25 - (y - 6)².
Thus, the differential volume becomes dV = 2π(1)(25 - (y - 6)²) dy.
We can now integrate this differential volume over the range of y = 1 to y = 11 to find the total volume V:
V = ∫[1,11] 2π(25 - (y - 6)²) dy
Expanding and simplifying the integral:
V = 2π ∫[1,11] (25 - (y - 6)²) dy
V = 2π ∫[1,11] (25 - (y² - 12y + 36)) dy
V = 2π ∫[1,11] (25 - y² + 12y - 36) dy
V = 2π ∫[1,11] (-y² + 12y - 11) dy
Integrating the terms individually:
V = 2π [-y³/3 + 6y² - 11y] |[1,11]
V = 2π [-(11³/3) + 6(11²) - 11(11)] - [-(1³/3) + 6(1²) - 11(1)]
V = 2π [-1331/3 + 726 - 121] - [-1/3 + 6 - 11]
V = 2π [-1331/3 + 726 - 121 + 1/3 - 6 + 11]
V = 2π [-604/3 + 616 + 1/3]
V = 2π [13/3]
Simplifying further:
V = (26π/3)
Therefore, the volume of the resulting solid is (26π/3) cubic units.
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solve the equation
\( \frac{2x}{3} - \frac{3x}{4} = \frac{3}{10} \)
please mark me as brainlest
Debra has two-thirds of a pound of loose green tea leaves. If she wants to keep one-half of the tea at home and the other half at work, what fraction of a pound will she have at work?
Answer: I would personally say 1/3
Cuantas cajas de gelatina con volumen de 500cm cúbicos caben en una caja de 1m cúbico?
Answer:
2000 cajas de gelatina.
Step-by-step explanation:
Answer:
2000 cajas de gelatina.
Step-by-step explanation:
1 m^3 : 1 000 000 cm^3
Hallamos las cajas de gelatina :
1 000 000 cm^3 / 500cm^3 = 2000
Respuesta : 2000 cajas de gelatina.
A friend of yours claims that they are a 75% free-throw shooter in basketball. You don't think she is that good and want to test her to gather evidence that she makes less than 75% of her free throws in the long run. You have her shoot 40 free throws and she makes 26 (or 65%) of them. You run your hypothesis test and find a p-value of 0.1150. Which of the following is the best way to state the conclusion? Use a = 0.05.
i. Because the p-value is large, there is strong evidence that your friend is a 65% free-throw shooter in the long run.
ii. Because the p-value is small, there is strong evidence that your friend is a 75% free-throw shooter in the long run.
iii. Because the p-value is small, there is strong evidence that your friend is less than 75% free-throw shooter in the long run.
iv. Because the p-value is large, there is strong evidence that your friend is a 75% free-throw shooter in the long run.
v. Because your p-value is not small enough, there is not strong evidence that your friend is less than 75% free-throw shooter in the long run.
According to the hypothesis tested and the p-value given, it is found that the correct option is:
v. Because your p-value is not small enough, there is not strong evidence that your friend is less than 75% free-throw shooter in the long run.What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is of 75%, that is:\(H_0: p = 0.75\)
At the alternative hypothesis, it is tested if the proportion is of less than 75%, that is:\(H_1: p < 0.75\)
How a conclusion is reached according to the p-value?If the p-value is greater than the significance value, the null hypothesis is not rejected.If the p-value is less than the significance value, the null hypothesis is rejected.In this problem:
p-value of 0.115.Significance level of 0.05.Hence, not enough evidence to reject the null hypothesis, that is, not strong evidence that your friend is less than 75% free-throw shooter in the long run, hence option v is correct.A similar problem, involving an hypothesis and a p-value, is given at https://brainly.com/question/16313918
What is the approximate area of the circle shown below? 9.4 cm
Answer:
A=3.14(9.4 squared)9.4 squared= 88.363.14(88.36)= 277.4504277.4504 is close to 278 The answer is D.
Hope this helps!
Answer:
Answer is D. 278
Step-by-step explanation:
a p 3 x
liliane has $50\%$ more soda than jacqueline, and alice has $25\%$ more soda than jacqueline. what is the relationship between the amounts of soda that liliane and alice have?
The relationship between the amounts of soda that Liliane and Alice have is that Liliane has more soda than Alice.
To determine the relationship between the amounts of soda that Liliane and Alice have, let's start by assuming that Jacqueline has a certain amount of soda, represented as 100%.
Liliane has 50% more soda than Jacqueline, which means Liliane has 100% + 50% = 150% of the amount Jacqueline has.
Alice has 25% more soda than Jacqueline, which means Alice has 100% + 25% = 125% of the amount Jacqueline has.
To compare the amounts of soda that Liliane and Alice have, we can express their amounts relative to Jacqueline's amount:
Liliane has 150% of Jacqueline's amount, and Alice has 125% of Jacqueline's amount.
Comparing Liliane's and Alice's amounts, we can say that Liliane has a greater amount of soda than Alice. Specifically, Liliane has 150% of Jacqueline's amount while Alice has 125% of Jacqueline's amount.
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Which  represents the graph of the circle?
Answer: The last one
Step-by-step explanation:
what is the underlying logic of the single sample t-test?
The single sample T test refers to the statistical study involving a test that is used to determine if a group is significant of a different type from a known population. the null hypothesis for this test is the ability to not leave any difference between the sample mean and the population means.
Hence, the underlying logic behind the single sample T test is that it enables to initiation of the comparison of the sample means to a known or unknown population and proceeds to determine if there is any difference between them that is statistically significant. It chooses standard errors to differentiate between the sample mean and the population means.
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HELP PLS ASAP
-5 = 5/12a pls evaluate
Answer:
a = -12
Remember that when a variable is times with a number, you divide the number on both sides.
When a variable is divided by a number, you multiply the number on both sides.
Hope this helps you. Thank you !!
Show work by writing out all of the ratios in simplified form
please help i need this now!
Answer:
Option D is the correct answer.
Step-by-step explanation:
\( \frac{w}{y} = \frac{z}{x} \\ \\ by \: cross \: multiplication \\ \\ wx \: = yz\)
for many medical tests, it is standard procedure to repeat the test when a positive signal is given. if repeated tests are independent, what is the probability that a man will test positive on two successive tests if he has the disease?
The probability that a man will test positive on two successive tests if he has the disease 81%.
In mathematical terms, probability can be represented as the ratio of the number of favorable outcomes to the number of possible outcomes. The formula for probability is as follows:
P(E) = n(E) / n(S)
Where:
P(E) is the probability of event E occurring
n(E) is the number of favorable outcomes for event E
n(S) is the number of possible outcomes in the sample space S
Let's assume the probability of a man testing positive for a disease if he has it is represented by the symbol "P".
If the tests are independent, meaning that the outcome of one test does not affect the outcome of the other, then the probability of a man testing positive on two successive tests can be calculated as the product of the probabilities of each individual test.
Therefore, the probability of a man testing positive on two successive tests if he has the disease is P * P, or P².
If the probability of a man testing positive for a disease if he has it is 90%, represented by P = 0.9, then the probability of him testing positive on two successive tests is 0.9 * 0.9 = 0.81, or 81%.
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A car initially going 54 ft/sec brakes at a constant rate (constant negative acceleration), coming to a stop in 5 seconds.
Graph the velocity for t=0 to t=5. How far does the car travel before stopping?
distance = _____ (include units)
How far does the car travel before stopping if its initial velocity is doubled, but it brakes at the same constant rate?
distance = _____(include units)
When the car initially goes at 54 ft/sec and comes to a stop in 5 seconds with constant negative acceleration, it travels a distance of 67.5 feet. When the initial velocity is doubled to 108 ft/sec, the car travels a distance of 135 feet before stopping.
To graph the velocity of the car over time, we first need to determine the equation that represents the velocity. Given that the car initially goes at 54 ft/sec and comes to a stop in 5 seconds with constant negative acceleration, we can use the equation of motion:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
For the first scenario, with an initial velocity of 54 ft/sec and coming to a stop in 5 seconds, the acceleration can be calculated as:
a = (v - u) / t
a = (0 - 54) / 5
a = -10.8 ft/sec^2
Therefore, the equation for the velocity of the car is:
v = 54 - 10.8t
To graph the velocity, we plot the velocity on the y-axis and time on the x-axis. The graph will be a straight line with a negative slope, starting at 54 ft/sec and reaching zero at t = 5 seconds.
The distance traveled by the car before stopping can be determined by calculating the area under the velocity-time graph. Since the graph represents a triangle, the area can be found using the formula for the area of a triangle:
Area = (base × height) / 2
Area = (5 seconds × 27 ft/sec) / 2
Area = 67.5 ft
Therefore, the car travels a distance of 67.5 feet before coming to a stop.
In the second scenario, where the initial velocity is doubled, the new initial velocity would be 2 × 54 = 108 ft/sec. The acceleration remains the same at -10.8 ft/sec^2. Using the same equation for velocity:
v = 108 - 10.8t
Again, we can calculate the area under the velocity-time graph to determine the distance traveled. The graph will have the same shape but a different scale due to the doubled initial velocity. Thus, the distance traveled in this scenario will be:
Area = (5 seconds × 54 ft/sec) / 2
Area = 135 ft
Therefore, when the initial velocity is doubled, the car travels a distance of 135 feet before coming to a stop.
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Perform the indicated operation. 4/7x2 -3/2x3
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Help me please I am going to die with school rn
Answer:
416 ft
Step-by-step explanation:
We will start with the easiest shape.
10 x 4 x 4 = 160
We will put that to the side and continue.
we see that 20 feet is the whole height of the object but since there is the height of 4 feet on the bottom shape, we will take 4 from 20 to give us 16 feet for the top shape.
16 x 4 x 4 = 256
Now, we add the totals.
256 + 160 = 416
Answer:
416 ft
Step-by-step explanation:
We will start with the easiest shape.
10 x 4 x 4 = 160
We will put that to the side and continue.
we see that 20 feet is the whole height of the object but since there is the height of 4 feet on the bottom shape, we will take 4 from 20 to give us 16 feet for the top shape.
16 x 4 x 4 = 256
Now, we add the totals.
256 + 160 = 416
Explain why it is helpful to know the basic function shapes and discuss some ways to remember them.
Find m<3
mfnfnfmfmf
Answer:
m∠3 = 92
Step-by-step explanation:
45 + 47 = 92
Check:
180 - 92 = 88
180 - 88 = 92
Select the best answer regarding the effects of Carbon monoxide: a. The affinity between CO and hemoglobin is about the same as oxygen. b. The central chemoreceptors will detect the reduction in oxygen delivered to the cells and will increase their firing rate. c. CO results in less oxygen loading hemoglobin but unloading is not changed. d. A small amount of CO in the air will not reduce arterial PO2 levels enough to be sensed by the peripheral chemoreceptors.
The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.
Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.
However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.
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