Answer:
6 + 6x
Step-by-step explanation:
9 - (3-6x) = 9 - 3 - (-6x)
= (9-3) +6x
= 6 + 6x
1) expand the bracket
2) group like terms together
3) simplify to form expression
Problem #1: Determine if the following system is linear, fixed, dynamic, and causal: \[ y(t)=\sqrt{x\left(t^{2}\right)} \] Problem # 2: Determine, using the convolution integral, the response of the s
The system described by the equation y(t) = √x(t²) is linear, fixed, dynamic, and causal. The response of the system to the input x(t) = δ(t) is:
y(t) = ∫_{-∞}^{∞} δ(τ) h(t - τ) dτ = ∫_{-∞}^{∞} √τ² dτ
Linear: The system is linear because the output is a linear combination of the inputs. For example, if x(t) = 2 and y(t) = √4 = 2, then if we double the input, x(t) = 4, the output will also double, y(t) = √16 = 4.
Fixed: The system is fixed because the output depends only on the current input and not on any past inputs. For example, if x(t) = 2 at time t = 0, then the output y(t) = √4 = 2 at time t = 0, regardless of what the input was at any previous time.
Dynamic: The system is dynamic because the output depends on the input at time t, as well as the input's history up to time t. For example, if x(t) = 2 at time t = 0, then the output y(t) = √4 = 2 at time t = 0, but if x(t) = 4 at time t = 1, then the output y(t) = √16 = 4 at time t = 1.
Causal: The system is causal because the output does not depend on future inputs. For example, if x(t) = 2 at time t = 0, then the output y(t) = √4 = 2 at time t = 0, regardless of what the input will be at any future time.
Problem #2: The response of the system to the input x(t) = δ(t) can be determined using the convolution integral:
y(t) = ∫_{-∞}^{∞} x(τ) h(t - τ) dτ
where h(t) is the impulse response of the system. In this case, the impulse response is h(t) = √t². Therefore, the response of the system to the input x(t) = δ(t) is:
y(t) = ∫_{-∞}^{∞} δ(τ) h(t - τ) dτ = ∫_{-∞}^{∞} √τ² dτ
The integral cannot be evaluated in closed form, but it can be evaluated numerically.
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(- 4x3 + 3x + 6x4 - 585 + 0x2)/(x + 3)
How would you do this?
help asap
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
just multiply all the sides
Step-by-step explanation:
Answer:
i just need the point thank you
Step-by-step explanation:
This range is given by: R=
g
v
0
2
sin(2θ) where R is the range of the projectile measured from the launch point, ν
0
is the initial speed of the projectile, g is the constant magnitude of the acceleration due to gravity at the Earth's surface, and θ is the launch angle measured from the horizontal. Questions - Q1: A soccer ball is kicked with an initial speed of 20 m/s at an angle of 40 -degrees with the horizontal. Determine the range of the soccer ball. Q1: " 40.2 meters Show code - Q2: A football field is approximately 91 meters in length. Find any three combinations of initial velocity and launch angle a football player would need to kick a football at in order for it to be launched from one end of the field to the other. Write your answer in the form [θ
1
,v
0
1
],[θ
2
,v
0
2
],[θ
3
,v
0
3
] Note: θ must be in radians
Three combinations of initial velocity and launch angle are: [θ1, v01] = [0.349 radians, 25 m/s][θ2, v02] = [0.610 radians, 30 m/s][θ3, v03] = [0.872 radians, 35 m/s]
Given, R = (v0)² sin2θ/g = 400sin2(40)/9.8≈40.2m R = (v0)² sin2θ/g Where, R is the range of the projectile measured from the launch point,v₀ is the initial speed of the projectile, g is the constant magnitude of the acceleration due to gravity at the Earth's surfaceθ is the launch angle measured from the horizontal.
Q1: A soccer ball is kicked with an initial speed of 20 m/s at an angle of 40-degrees with the horizontal. Determine the range of the soccer ball. The range of the soccer ball is 40.2 meters. Therefore, option B is correct.
Q2: A football field is approximately 91 meters in length. Find any three combinations of initial velocity and launch angle a football player would need to kick a football at in order for it to be launched from one end of the field to the other.
The range of a football field is 91 m. Here, θ must be in radians. To cover a range of 91 m, we have to find different combinations of launch angles and initial velocities, which will give a range of 91 m.
Let's calculate this combination. Let, θ1 = 20°, v01 = 25 m/s
Now, range, R1 = v01²sin2θ1/g = 91 m Similarly, Let, θ2 = 35°, v02 = 30 m/s.
Now, range, R2 = v02²sin2θ2/g = 91 m Similarly, Let, θ3 = 50°, v03 = 35 m/sNow, range, R3 = v03²sin2θ3/g = 91 m
Therefore, three combinations of initial velocity and launch angle are: [θ1, v01] = [0.349 radians, 25 m/s][θ2, v02] = [0.610 radians, 30 m/s][θ3, v03] = [0.872 radians, 35 m/s].
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Question 2 Which is NOT the method that can be used to show congruency of two triangles? a) SSS b) ASA c) SAS d) SSA 0) None of the above Review Question3 ASATABFE by the HL method mZ AST 48 and m FEB 3x Find x.
Answer:
NO.2- SSA is not the method to show the congruency of two triangles.
There are y narts to this question. Yiu war be anked to movide fint 1 answer in each part. In our dataset we obsenve thiee variables that we strangly befieve do not have a relabonhip with wages, but that are correlated with the endoeenour variable riciuct. These variables mee dixt, which denotes the distance between the wroticer's viliage and the closest school, wralh yofene. Which is a dummin variable that takes the value of 1 if the worker regularly brushes hiv/her teeth ithe eovemment provides a free toothbrunh to each citizen and we believe that more educated people tend to brush their teeth more offen, and library, which is a dummy variable that takes the value of 1 if the worker has access to a library in his/her viliage. We estimafe our regression model using TSIS We want to test if our instruments satisfy the relevance requirement. In the 1 st stage of TSLS we estimate the following equation: edue =π0+π1 diat +π2 aralhygiene +π1 hitrary +π4 erper +NH What is the null hypothesis to test for instruments' relevance? A) H0:π1=π2=π3=π4=0. B) H0:π1=π2=π3=0. C) H0:π2=π3=π4=0. D) H0:π2=0 or π3=0 or π4=0. E) HD:π1=0 or π2=0 or π3=0. F) H0:π1=0 or π2=0 or π3=0 or π4=0. Answer:
The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.
The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.
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Can someone help me?? I really need the help and I would appreciate it! Thank you so much in advance! :)
y= -1/2 x - 5 write in slope intercept form.
Answer:
Hii! This is already written in slope intercept form.
For a refresher, slope intercept form is \(y=mx+b\)
\(y\) = y-coordinate
\(m\) = slope
\(x\) = x-coordinate
\(b\) = y-intercept
In this equation,
\(m\) is \(-1/2\)
\(b\) is \(-5\)
Hope this answers your questions.
A gym class has $12$ students, $6$ girls and $6$ boys. The teacher has $4$ jerseys in each of $3$ colors to mark $3$ teams for a soccer tournament. If the teacher wants at least one girl and at least one boy on each team, how many ways can he give out the jerseys
Answer:
2700
Step-by-step explanation:
*6*10*9/4!*4*4*6*5/4!
Elly is a self-employed financial advisor. Last year her income was $57,000. How much does she owe in SECA taxes?
Just put the answer
The SECA taxes on the $57,000 in income will be $7068. Self Employed Contributions Act is known by the initials SECA. These taxes typically calculated based on the net earnings, in just this case $57,000.
SECA taxes have a base rate of 6.2% for employees and 6.2% for employers. Due to their dual employment status as both an employee and an employer, self-employed individuals are subject to double taxes.
Doug must thus pay taxes totaling 12.4%, which are:
SECA = 57000 × \(12.4%\)% \(= 7067\)
As a result, Doug is eligible for an SECA deduction of $706.
In every industry that uses analysis of the data, such as education, administration, healthcare, and research & innovation, statistician or mathematician were employed. schools of higher learning. In colleges and universities, statisticians and mathematician might research theoretical or abstract ideas in these domains.
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the company sea esta has ten members on its board of directors. in how many different ways can it elect a president, vice-president, secretary and treasurer?
There are 10 members on the board, so there are 10 ways to elect a president, 9 ways to elect a vice president, 8 ways to elect a secretary, and 7 ways to elect a treasurer.
This is because each position can be filled by any of the members, except for the position that the member is already filling. For example, the president can be elected from any of the 10 members, but the vice president must be elected from the remaining 9 members.
The company sea esta has ten members on its board of directors, so it has a lot of different options for how to elect a president, vice-president, secretary, and treasurer. One way to elect a president would be to have the board members vote on who they want to be president.
Another way to elect a president would be to have the members of the company vote on who they want to be president. There are many different ways to elect officers, and it really depends on the company and what they want to do.
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Aimee noticed her plant grew Two-thirds of an inch every week since it sprouted. She created this graph to show its growth.
On a coordinate plane, a graph titled Plant Growth has Weeks Since Sprouting on the x-axis and Height (inches) on the y-axis. Points (3, 2) and (6, 4) are plotted.
Which statement about Aimee’s graph is true?
Answer:do u have the statements
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
Leanne and her family plan to attend a symphony at an orchestra hall. Before booking the tickets, Leanne checked a website where visitors rated the view of the symphony's soloist from their seating section. The data from the website is summarized in the table.
Section Number of reviewers who sat in the section Number of reviewers who rated the view as "perfect"
L1 90 57
L2 52 33
L3 75 47
U1 84 55
U2 43 27
U3 35 22
According to the data from the website, in which seating section should Leanne's family book the tickets if they want to maximize their chances of having a "perfect" view of the symphony's soloist?
Using proportions, it is found that Leanne's family should book their tickets at Section U1 to maximize their chances of having a "perfect" view.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the section with the highest proportion of perfect views should be chosen, hence:
pL1 = 57/90 = 0.633
pL2 = 33/52 = 0.635
pL3 = 47/75 = 0.623
PU1 = 55/84 = 0.655
pU2 = 27/43 = 0.628
pU3 = 22/35 = 0.629
Leanne's family should book their tickets at Section U1 to maximize their chances of having a "perfect" view.
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Answer:
answer in the picture have a nice day loves :)
Step-by-step explanation:
if the angles of a triangle are 45°, 45°, and 90° show that the length of the hypotenues is √2 times as long as each leg
Answer:
Step-by-step explanation:
2
(a )square root of 2 (c)
Answer:
Step-by-step explanation:
I'd go to Hades, implies that the speaker?
Answer:
is planning a trip to escape her problems.
Step-by-step explanation:
Hope this helps :D
Answer:
Is planning a trip to escape her problems
Step-by-step explanation:
Your welcome! :)
What is the equation of this line?
A. y = 2x
B. y = -2x
C. y = -1/2x
D. y = 1/2x
Answer:
The answer is definitely A.
3. Here is a quadrilateral ABCD with M as the midpoint of
segments AC and BD.
Prove: Angle ABM is congruent to angle CDM
Portfolio Question
Answer: Depends if AB and CD are equal, as they both have M in the same spot that can be eliminated, look at the quadrilateral and make a guess based off the information that AB and CD have to be equal
Step-by-step explanation:
A study concluded that among people with a certain virus, 99.2% of tests conducted were (correctly) positive, while for people without the virus, 97.9% of the tests were (correctly) negative. If 32% of patients actually carry the virus, what's the probability that a patient testing negative is truly free of the virus?
Answer:
Following are the solution to the question:
Step-by-step explanation:
The probability of virus P(V) =0.32
No virus P(NV) =0.66
Patient testing of negative P(TN) = virus, and negative testing+no virus and negative testing
\(=0.32(1-0.992)+0.66 \times 0.979 \\\\=0.00256+0.64614\\\\=0.6487\)
This is why the likelihood of a patient being free of the virus is negative.
\(= \frac{P(NV) \times\ tested \ negative }{P(TN)}\)
\(= \frac{0.66 \times 0.979}{0.6487}\\\\= \frac{0.64614}{0.6487} \\\\=0.996053646\)
anil completes the 72km journey from bristol to cardif in 48 mins the then drives 69km to swansea from cardif at an average speed of 60km/h work out anils average speed (in km/h) for this total journey from Bristol to Swansea plz help
Answer:
72.3
Step-by-step explanation:
(72+69)/1,95
Answer:
72.3
Step-by-step explanation:
An ice cream store has 12 different flavors of ice cream, 5 toppings, and 3 types of cones. How many different combinations can they make?
Answer:
180
Step-by-step explanation:
There will be 12 flavors for every 5 toppings for every type of cone. Multiplying the numbers together will get us the quick and easy answer.
12 · 5 · 3
= 180
6, 8, 8, 3, 2, 2, 3, 8
Mean
Median
Mode
Range
Answer:
Step-by-step explanation:
2, 2, 3, 3, 6, 8, 8, 8
Mean: ( 2 + 2 + 3 + 3 + 6 + 8 + 8 + 8 ) ÷ 8 = 5
Median: ( 3 + 6 ) ÷ 2 = 4.5
Mode: 8
Range: 8 - 2 = 6
Please help please guys I need this now
Practice and apply what you have learned:
Read the passage
"I should not have to turn the water off while I brush my teeth. First, I hate having to
brush my teeth. Plus, it's annoying to have to turn the water off when I'm brushing
my teeth. Everyone else in my family turns the water off when they brush their teeth,
so it shouldn't matter if I do or not, since I'm only one person. How much water can I
really waste?"
What is the claim?
Answer:
“I should not have to turn the water off while I brush my teeth.”
Step-by-step explanation:
A claim is a statement that expresses the main idea or position of an argument. A claim is usually supported by reasons and evidence to persuade the audience to accept it. A claim can also be challenged or refuted by counterclaims and counterarguments.
To find the claim in the passage, you need to look for the statement that expresses the author’s main idea or position on the topic of turning off the water while brushing teeth. The claim is usually found at the beginning or the end of the passage, but it can also be implied or repeated throughout. In this case, the claim is found at the beginning of the passage:
“I should not have to turn the water off while I brush my teeth.”
This is the claim because it expresses the author’s main idea or position on the topic. The rest of the passage provides reasons and evidence to support this claim, such as hating to brush teeth, finding it annoying to turn off the water, and being only one person who cannot waste much water. These reasons and evidence may not be very convincing or valid, but they still serve to support the claim.
So, the claim in the passage is I should not have to turn the water off while I brush my teeth.
an atom moving at its root-mean-square speed at 20 oc has a wavelength of 3.28 x 10-11 m. identify the atom.
The wavelength of an atom is 3.28× 10−11 m when it is travelling at its root-mean-square speed at 20 °C. Decide on the atom. Consequently, M = 2 and the gas's molar mass is 2 kgmol−1 .
what is wavelength ?Radio waves, light waves, and infrared (heat) waves are examples of electromagnetic radiation that flow through space in distinct patterns. Every wave is a specific size and shape.
calculation
urms= \(\sqrt{\frac{3RT}{M} }\)
and
λ=h/murms
⟹urms=h/mλ⟹
\(\sqrt{\frac{3RT}{M} }\)=h/mλ
72.2 = 148.17 / M
M = 148.17/72 ≈ 2
Consequently, M = 2 and the gas's molar mass is 2 kgmol−1. A gas with a molecular mass of 2 kgmol-1, however, does not exist.
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Marcus spent 2 hours reading, 1 hour playing Rocket League, and took a 2 hour nap. What percent of the total time did he read?
(there are no answer choice)
Total 40% percent of the total time Marcus read.
In the given question, Marcus spent 2 hours reading, 1 hour playing Rocket League, and took a 2 hour nap.
We have to find percent of the total time he read.
Time spend in reading = 2 hours
Time spend in Rocket League = 1 hour
Time spend in nap = 2 hours
Total spend hours = Time spend in reading + Time spend in Rocket League + Time spend in nap
Total spend hours = 2 + 1 + 2
Total spend hours = 5
Hence, the percent of the total time he read = Time spend in reading/Total spend hours *100
The percent of the total time he read = 2/5 *100
The percent of the total time he read = 40%
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Hayley bought 1.6 pounds of almonds for $13.20. How much did she pay per pound for the almonds?
Answer:8.25
Step-by-step explanation: 13.2 divided by 1.6
Pleaes help me. The points in the table lie on a line. Find the slope of the line.
0/1/2/3
-1/0/1/2
Answer:
slope = 1
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 2) ← 2 ordered pairs from the table
m = \(\frac{2-(-1)}{3-0}\) = \(\frac{2+1}{3}\) = \(\frac{3}{3}\) = 1
Help 6th grade math i will give brainliest
Answer:
im on the same thing
Step-by-step explanation:
√26+10-15 cuanto es me ayudan ?
Step-by-step explanation:
If the whole thing is in a square root, then the answer is sqrt21.
If only sqrt26 is in the square root, then the answer is -5+sqrt26.
(esto es en español) (This is in spanish transalation)
Si todo está en una raíz cuadrada, entonces la respuesta es la raíz cuadrada 21.
Si solo la raíz cuadrada 26 está en la raíz cuadrada, entonces la respuesta es -5 + raíz cuadrada 26.
We made a kite that was 4/5 inch long. How would you write that as a decimal? Select one:
O 0.54
O 0.80
O 0.08
O 0.45
Travis is compiling a list of cities that had a temperature colder than 6°F below zero for the month of January. Which cities from the table above would Travis include on his list? A. Chicago, St. Paul, Fargo, and Bismarck B. Chicago only C. St. Paul, Fargo, and Bismarck D. Fargo and Bismarck
Help asap please :]
Travis should include A. Chicago, St Paul, Bismarck and Fargo on his lost because these cities had temperature of 6°F below zero for the month of January.
The only countries which Travis is including on his list are those which has a temperature of 6 degrees Fahrenheit below zero in the month of January.
The correct choices are provided in the option A.
He should include Chicago, St. Paul, Fargo and Bismarck.
He should add these cities because they all had temperature of 6 degrees Fahrenheit below zero for the month of January.
These cities are very cold because of their geological location.
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what is the best interpretation of the y intercept of the line . question 5
Answer:
Last one
A student‘s test score is likely to increase about 20 points for each hour of studying
Step-by-step explanation:
We can see that the indepedent value is hours spent studying and dependent value is test scores.
As the hours of studying get greater, so does the test scores. So it has to be either the second to last or last one.
If you pay attention to the numbers, you’d see that the last one would be the answer.
Answer:
last one
Step-by-step explanation:
each hour spent studying increases the by around 20 points. the slope of the line is 20.
btw there's nothing on the intercept in the question