The length of each side of the chip is 9 centimeters.
What is the length of each side of the chip?A square is an object that has four sides and four equal sides. All the four sides of a square are of equal length. A square has two diagonal that bisect each other at 90°.
The area of a square = length²
Given the area of a square, the length can be determined by calculating the square root of the area of the square. The square root of a number divides a number into two equal halves.
Length = √area
√81 = 9cm
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For an IT system with the impulse response given by h(t)=exp(−3t)u(t−1) a. is it Causal or non-causal b. is it stable or unstable
a. The impulse response given by h(t)=exp(−3t)u(t−1) is a non-causal system because its output depends on future input. This can be seen from the unit step function u(t-1) which is zero for t<1 and 1 for t>=1. Thus, the system starts responding at t=1 which means it depends on future input.
b. The system is stable because its impulse response h(t) decays to zero as t approaches infinity. The decay rate being exponential with a negative exponent (-3t). This implies that the system doesn't exhibit any unbounded behavior when subjected to finite inputs.
a. The concept of causality in a system implies that the output of the system at any given time depends only on past and present inputs, and not on future inputs. In the case of the given impulse response h(t)=exp(−3t)u(t−1), the unit step function u(t-1) is defined such that it takes the value 0 for t<1 and 1 for t>=1. This means that the system's output starts responding from t=1 onwards, which implies dependence on future input. Therefore, the system is non-causal.
b. Stability refers to the behavior of a system when subjected to finite inputs. A stable system is one whose output remains bounded for any finite input. In the case of the given impulse response h(t)=exp(−3t)u(t−1), we can see that as t approaches infinity, the exponential term decays to zero. This means that the system's response gradually decreases over time and eventually becomes negligible. Since the system's response does not exhibit any unbounded behavior when subjected to finite inputs, it can be considered stable.
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Given vector u = ⟨−3,−2⟩ and v = ⟨1,−5⟩,determine the value of u - 2v in component form.
The component form of the linear combination of the two vectors is u - 2v = < -5, 20>
How to find the vector u - 2v?Here we have the two vectors: u = <-3, -2> and v = <1, -5> We want to determine the value of the linear combination:
u - 2v
To do that we just add the correspondent components, then we get:
u - 2v = <-3, -2> - 2*<1, -5>
= <-3, -2> - <2*1, 2*-5>
= <-3, -2> - <2, -10>
= < -3 - 2, -2 -(-10)>
= < -5, 20>
That is the component form of the linear combination.
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Good Afternoon! please help me with these questions! So Far No one has helped me and I really need help. i found answers but the answers are not any of the multiple-choice answers!
For #1 I had gotten 5078.9 using the formula A=p(1+r/n)^n(t)
For # 2 I had gotten 2464.7 using the formula A=p(1+r/n)^n(t)
But I see no answer choices with these answers.
Please tell me the correct answers and explain what I did wrong!
Answer:
I think the first one is $1288.94 and the second is 3001.99
Step-by-step explanation:
I might be wrong forgive me if so
Simplify 1/4 (15-6) + 3^3 divided by 12
Answer:
Step-by-step explanation:
Use PEDMAS method
P - Parenthesis
E - Exponents
D - Division
M - Multiplication
A- Addition
S -Subtraction
\(\frac{1}{4}(15-6) + 3^{3}\) ÷ 12 = \(\frac{1}{4}*9+3^{3}\) ÷ 12 {Operation inside parenthesis}
\(= \frac{1}{4}*9+27\)÷ 12 {Exponents}
\(= \frac{9}{4} + \frac{27}{12}\\\\\\= \frac{9*3}{4*3} + \frac{27}{12} \\\\\\= \frac{27}{12} + \frac{27}{12}\\\\\\=\frac{27+27}{12}\\\\\\=\frac{54}{12}\\\\=\frac{9}{2}\\\\= 4\frac{1}{2}\)
Answer:
the answer is c. 4 1/2
Step-by-step explanation:
I guessed c got it right
which is an equation of the line with a slope of 2/3 passing through the point (4,-1)?
Answer:
y=2/3x-11/3
Step-by-step explanation:
to find the y intercept, you can input your values into the equation:
b=y1−m⋅x1
When you do that, you get:
b=−1−(2/3)⋅(4)=−11/3
When you convert that equation into y=mx+b form, you get:
y=2/3x-11/3
Please mark Brainliest ;)
Please help me answer this I put 18 points that’s how much your gain if you answer
Answer:
2) 520
3) 135
4) 490
5) 850
Step-by-step explanation:
2) 10 regular for every 2 premium. so 12 total. Then we do 624 divided by 12 so we get 52. So we multiply 10 by 52 and 520. So they have 520 regular subscribers.
3) 3 short sleeves for every 9 long sleeves. So 12 in total. 540 divided by 12 is 45. 45 times 3 is 135. So 135 short sleeves were sold.
4) 7 teens for every 2 adults. so 9 in total. 630 divided by 9 is 70. 70 times 7 is 490. So 490 of the people who voted were teens.
5) For every 10 songs he like there was 5 he disliked. So 15 in total. 1275 divided by 15 is 85. 85 times 10 is 850. He liked a total of 850 songs.
I hope I helped! <3
1) Find the volume of the triangular prism.
5 yd
5 yd
3 yd
6 yd
8 yd
27 yd
72 yd
240 yd
360 yd
Answer:
I am not completely sure but I believe that it is C) 240 yd^3
Step-by-step explanation:
please helpppp me :(
Answer:
Very small
Step-by-step explanation:
Answer:
very small
Step-by-step explanation:
Scientific notation is used to shorten numbers that are either very large or small, so negative and positive aren't really relevant answers.
Now you have to determine if the number 9.3 x 10^-8 is very large or small.
When dealing with scientific notation, a negative exponent means the number was originally a decimal and a positive exponent means the number was very large. The exponent is negative 8 so it is very small.
0.023 = 2.3 x 10^-2
2300. = 2.3 x 10^3
On a number line, suppose point E has a coordinate of -3 , and EG=7. What are the possible coordinates of point G?
If G is to the right of E, add the total length to point E:
G = -3 + 7 = 4
If G is to the left of E subtract the total length from E:
G = -3 -7 = -10
The possible coordinates are -10 or 4
please help!!! i need to show work too!!!
Answer:
1. 7/10, 2. 25, 3. 1/4 4. 4. 3/5, 5. A
Step-by-step explanation:
1. Make a fraction with the total number of cards at the bottom (60) and all the cards that are not green (aka yellow and blue) on top (42). Then simplify the fraction 42/60 by dividing both terms by 6 to get 7/10
2. For this one, first find how many students out of the first 80 liked basketball by subtracting the 60 students who liked other sports from 80. This gives you 20. Now you know that 20/80 students like basketball. Now simplify the fraction to get 1/4. Then find 1/4 of 100, because we know that 1/4 of students like basketball. 1/4 of 100 is 25.
3. This problem is exactly the same as number 1, except instead of adding all the other colors and putting them as a fraction over the total, just put the number of pink shirts over the total number of shirts to get 3/12. Then simplify it to 1/4, and that's your answer.
4. This is also similar to problems 1 and 3. Just put the number of heads coin tosses over the total and simplify it.
5. This one is very similar to all the problems so far. I will let you do this one on your own. Remember: The number of cases (rolls or colors or sports or cards etc.) that you want to find the probability for goes on top, and the total number of those things goes on the bottom. The bigger the fraction, the greater probability there is.
Note: Please only ask one question at a time on here instead of 5 at once. Since these problems are so similar, chances are, you could have figured them out on your own with a little help on one of them. You are more likely to get a quick answer if the answerer doesn't have to do as much work.
which expression is equivalent to 5/3square root 6c + 7/3Square root 6c, if c ≠0 (PLEASE HELP ASAP)
Answer:
I believe it's B
Step-by-step explanation:
when the square roots are the same, you just add the two numbers in front of the roots
100 Points!!!
Polynomial Identities
Part 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.
Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.
Let's see
#a
Take 28
(28)²(30-2)²30²-2(30)(2)+2²900-120+4780+4784#2
Take 9,10
9³+10³(9+10)(9²-9×10+10²)(19)(81-90+100)19(181-90)19(91)1729Answer:
Two-digit number greater than 25: 32
Rewrite 32 as the difference of 2 numbers: 40 - 8
Therefore, x = 40 and y = 8
\(\begin{aligned}\implies (40-8)^2 & =40^2-2(40)(8)+8^2\\ & = (4 \cdot 10)^2-(80)(8)+64\\ & = 4^2 \cdot 10^2-640+64\\ & = 16 \cdot 100-640+64\\ & = 1600-640+64\\ & = 960+64\\ & = 1024\end{aligned}\)
Let a = 10
Let b = 11
\(\begin{aligned}\implies 10^3+11^3 & =(10+11)(10^2-10 \cdot 11+11^2)\\& = 21(100-110+121)\\ & = 21(-10+121)\\ & = 21(111)\\& = 21 (100 + 10 + 1)\\ & = (21 \cdot 100)+(21 \cdot 10)+(21 \cdot 1)\\ & = 2100 +210+21\\ & = 2310 + 21\\ & = 2331\end{aligned}\)
Is 12345 divisible by 3?
Yes it is divisible by 3. A number is fully divisible by three if its digit sum is also divisible by three, according to the rule of divisibility for three.
what is divisibility test?The divisibility rule is a concise and practical approach to check, often by looking at the integer's digits, whether a given integer is divisible by a given set divisor without actually executing division. Without actually doing the division procedure, you may quickly discover if a given number can be divided by a defined divisor using the divisibility test. When dividing two numbers exactly, the quotient must be an integer and the remainder must be zero.
here
add all the numbers,
1 + 2+ 3 + 4+ 5 = 15
and 15/3 = 5
so it is divisible by 3
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The linear function that models the population of rainbow smelt is y1 = −19.76x + 227, where x = the years since 1990 and y1 = the number of rainbow smelt. The linear function that models the population of bloater fish is y2 =
The linear function that models the population of bloater fish is y2= -92.57x + 1, 052
The linear equation that determines when the two populations were equal is
-19.76x + 227 = -92.57x + 1052
The solution is x= 11.33 years
The sum of the angle measures of a polygon with s sides is 2,340 degrees. Find s.thank you ! :)
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
The sum of interior angles of a polygon is:
\(\begin{gathered} (s\text{ -2 \rparen x 180}^0=\text{ 2340}^0\text{ , where s = number of sides} \\ Divide\text{ both sides by 180}^0,\text{ we have that:} \\ s\text{ - 2 = 13} \\ s\text{ = 13 + 2} \\ s\text{ = 15} \\ \end{gathered}\)CONCLUSION:
The final answer is:
\(s\text{ = 15}\)1.5 +(-1.5) is equal to zero
Answer: yes
Step-by-step explanation: 1.5+(-1.5)=1.5-1.5
Answer:
yes
Step-by-step explanation:
A value for a variable that has a z score less than -3.00 or greater than +3.00 may be considered which of the following? A. Out of range B. A median value C. An outlier D. A mean value
The answer to your question is: A value for a variable that has a z score less than -3.00 or greater than +3.00 may be considered C. An outlier.
A value for a variable that has a z score less than -3.00 or greater than +3.00 may be considered an outlier. This is because an outlier is defined as a data point that is significantly different from other data points in the same sample. In this case, a z score of less than -3.00 or greater than +3.00 indicates that the value is more than three standard deviations away from the mean, which is a rare occurrence. Therefore, it is likely to be an outlier.
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70 POINTS!!!WILL GIVE BRAINLIEST
A local animal rescue has 20 people that help foster pets while they are waiting on finding their homes. They expect to gain two additional people willing to foster animals each month. The amount of animals in need of homes in the community is currently 10 and growing at a rate of 15% per month. When will the amount of homeless pets surpass the amount of foster homes available?
A) Write the two functions that represent this situation. (10 pts) B) Create a table of values. (5 pts)
C) Approximate the solution(s). Why is this the approximate solution? (5 pts)
D) Using graph paper (and the table of values), sketch the situation to show the exact solution. (5 pts)
Answer: below
Step-by-step explanation:
A. x=20+2n n= number of months
y=10(1+0.15)^n
B.
x 20,22,24,26,28,30....40
y 12.5,13.225,15.2,....40.5
C. The solution is 11 months because at 10 months even though the number of animals surpass the number of homes, you cannot have half a animal.
D.
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
After solving the given expression the values for x will be equal to x = 1 and x = 13.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given information in the question,
The given equation is,
(x - 7)² = 36
x - 7 = √36
x = ±6
Then the values for x will be,
x1 = 6 + 7 = 17
x2 = -6 + 7 = -1
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What is score-based generative modeling through stochastic differential equations?
Score-based generative modeling through SDEs is an active area of research, and there are many variations and extensions of the method that are being developed to improve its performance and scalability.
In this method, the goal is to learn a set of SDEs that can generate samples that are similar to the true data distribution. The SDEs are typically specified as a system of coupled differential equations that describe the evolution of the system over time. The parameters of the SDEs are learned by maximizing the likelihood of the data under the model, which can be achieved by minimizing a loss function that is derived from the score function.
One advantage of this approach is that it can be used to model complex, high-dimensional data distributions, such as images or videos, that are difficult to model using traditional parametric methods. Another advantage is that it can handle missing data or irregularly sampled data, which can be common in many real-world datasets.
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How do you know if a polynomial graph is positive or negative?
To determine if a polynomial graph is positive or negative, you need to look at the sign of the leading coefficient of the polynomial. If the leading coefficient is positive, the graph will be positive.
If the leading coefficient is negative, the graph will be negative. This is because the highest degree of the polynomial will determine the sign of the graph as the graph will either be increasing (positive) or decreasing (negative). To determine the leading coefficient, look at the polynomial expression and identify the term with the highest degree. The sign of this term will be the sign of the graph. For example, if the highest degree is 3, then the term would be ax^3, and the graph will be positive if a is positive, and negative if a is negative.
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SOMEONE PLEASE HELP ME WITH THIS QUESTION
look at the little lines on the diagram
especially the little ones on DI and IC
that means the segments that have the same little lines are equal.
so, DI = IC because they both have the same little line on it
20x+12 = 4x+20
simplify it now (should be self explanatory but i know you guys are lazy so ill do it)
16x = 8
x = 1/2
which graph represents the solution to the system of equations? y=1/2x+1 y=-2x+8
Answer:
The answer is Bottom Left
"
Find the solution u = u(x,t) of the following equation ди = 16 +1, at Ox² satisfying (IC): u(x,0) = x +4, and (BCs): u(0,1)= 1; u(4,1) = 2.
"
The solution to the given partial differential equation (PDE) is u(x, t) = x + 4 + 16t + t².
To obtain this solution, we start by observing that the PDE can be rewritten as ∂u/∂t = 16 + 1. The right-hand side is a constant with respect to t, indicating that the solution will be a quadratic function in t. We integrate both sides with respect to t, yielding u(x, t) = 16t + t² + C(x), where C(x) is an arbitrary function of x.
Next, we consider the initial condition (IC) u(x, 0) = x + 4. Substituting t = 0 into the solution, we obtain C(x) = x + 4. Hence, the solution becomes u(x, t) = x + 4 + 16t + t².
To determine the function C(x) completely, we need to apply the boundary conditions (BCs). The first BC, u(0, 1) = 1, gives us u(0, 1) = 0 + 4 + 16(1) + (1)² = 21. Thus, C(0) = 21.
The second BC, u(4, 1) = 2, gives us u(4, 1) = 4 + 4 + 16(1) + (1)² = 25. Therefore, C(4) = 25.
Since C(x) is a linear function, we can determine it explicitly. C(x) = (21/4)x + 4. Substituting this back into the solution, we have u(x, t) = x + 4 + 16t + t² + (21/4)x + 4 = (25/4)x + 16t + t² + 8.
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A Question 9 (3 points) Retake question 4Listen ► When booking a show for a future date, it is normal practice for the booking agent to collect a 50% advance fee when? advances are not given for sho
When booking a show for a future date, it is normal practice for the booking agent to collect a 50% advance fee when the advances are not given for shows. This is to ensure that the performer is fully committed to performing at the event and to cover any expenses that may be incurred in the process.
The advance fee is usually non-refundable and is paid by the promoter or venue operator to the booking agent. This is to show their commitment to the performer and to demonstrate that they are serious about booking them for the event. The remaining balance is then usually paid on the day of the performance or shortly after.
The booking agent should also ensure that all parties involved in the booking are aware of the terms and conditions and have signed a contract or agreement to confirm their agreement.
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Pls helppp and thank you
Answer:
∠ 2 = 60°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles fro 180° for ∠ 2, that is
∠ 2 = 180° - (57 + 63)° = 180° - 120° = 60°
I need help with b
please explain why and how you solve it in the comment section
Answer: I think it’s this
12.8452325787
Step-by-step explanation:
Using the formula
sqrt(A^2 - (B / 2)^2)
Putting in the altitude of 13 for A
And the base of 4 for B
And this one too (1 answer is off on down.)
Answer:
(-3,4)
Step-by-step explanation:
I'm not sure of how to explain how it is but basically the point it rotated and then it ends up on the coordinate, (-3,4)
BRAINLIEST for CORRECT answer please help
Answer: The answer is B I swear
Step-by-step explanation:
Answer:
A)
Step-by-step explanation:
Just did it on Edg 2020
What is 1/6 of 48? I need help pls
Answer:
8Step-by-step explanation:
(1÷6)×(48)= 8