An angle measures 106.4° less than the measure of its supplementary angle. What is the measure of each angle

To find the value of y[n], we need to evaluate the contour integral. However, since the specific value of n is not provided, we cannot provide the exact value of y[n] without knowing the value of n.

To find the system response y[n] given the equation y[n] - 0.6y[n-1] = x[n] and the initial condition y[-1] = 2, we can use the Z-transform.

Taking the Z-transform of both sides of the equation, we have:

Y(z) - 0.6z^(-1)Y(z) = X(z)

Simplifying this equation, we can express Y(z) in terms of X(z) as:

Y(z) = X(z) / (1 - 0.6z^(-1))

Now, let's find the inverse Z-transform of Y(z) to obtain the system response y[n]:

Using the property of the Z-transform, we have:

y[n] = (1/2πj) ∮ Y(z)z^(n-1)dz

The contour integral is taken over a closed path in the z-plane that encloses all the poles of Y(z).

In this case, the pole of Y(z) is at z = 0.6.

Applying the Residue theorem, we can find the residue of Y(z) at z = 0.6, which is 1.

Therefore, the system response y[n] can be expressed as:

y[n] = (1/2πj) ∮ Y(z)z^(n-1)dz = (1/2πj) ∮ (X(z) / (1 - 0.6z^(-1)))z^(n-1)dz = (1/2πj) ∮ X(z)z^n / (z - 0.6)dz

Since the input x[n] is a constant, we can substitute X(z) = X = 2.

y[n] = (1/2πj) ∮ 2z^n / (z - 0.6)dz

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The value of derivative if f(t) = 3t, for a ≠ 0, find f ′(a), is that f '(a) = 3.


1. First, identify the function f(t) = 3t.
2. To find f '(a), we need to find the derivative of f(t) with respect to t. The derivative represents the rate of change or the slope of the function at any point.
3. In this case, we have a simple linear function, and the derivative of a linear function is constant.
4. To find the derivative of 3t, apply the power rule: d/dt (tⁿ) = n*tⁿ⁻¹. Here, n = 1.
5. So, the derivative of 3t is: d/dt (3t¹) = 1*(3t¹⁻¹) = 3*1 = 3.
6. Now, we found the derivative f '(t) = 3, and since it's a constant, f '(a) = 3 for any value of a ≠ 0.

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Answer:

good job I got it right because of you

The bearing of the ship from boston is approximately s36.

to solve this problem, we need to use vector addition to find the displacement of the ship from boston to its current position. we can start by breaking down the ship's motion into two parts: the first hour of motion at 10 nm/hr on a bearing of s80°e, and the next 2 hours of motion at 20 nm/hr on a bearing of s45°w (which is equivalent to n45°e).

for the first hour of motion, we can find the ship's initial displacement as follows:

distance = speed × time         = 10 nm/hr × 1 hr

        = 10 nm

using trigonometry, we can find the horizontal and vertical components of this displacement:

horizontal distance = 10 nm × cos(80°)                     = 1.68 nm (rounded to two decimal places)

vertical distance = 10 nm × sin(80°)

                  = 9.92 nm (rounded to two decimal places)

, the ship's initial displacement from boston is 1.68 nm to the east and 9.92 nm to the south.

for the next 2 hours of motion, we can find the ship's additional displacement as follows:

distance = speed × time         = 20 nm/hr × 2 hr

        = 40 nm

using trigonometry again, we can find the horizontal and vertical components of this displacement:

horizontal distance = 40 nm × cos(45°)

                    = 28.28 nm (rounded to two decimal places)

vertical distance = 40 nm × sin(45°)                   = 28.28 nm (rounded to two decimal places)

, the ship's additional displacement is 28.28 nm to the northeast.

to find the ship's total displacement, we can add the initial and additional displacements using vector addition:

horizontal displacement = 1.68 nm - 28.28 nm

                       = -26.60 nm (rounded to two decimal places)

vertical displacement = 9.92 nm + 28.28 nm                      = 38.20 nm (rounded to two decimal places)

the negative sign for the horizontal displacement indicates that the ship is west of boston. we can find the bearing of the ship from boston using trigonometry:

tan(θ) = horizontal displacement / vertical displacement

θ = arctan(horizontal displacement / vertical displacement)

θ = arctan(-26.60 nm / 38.20 nm)

θ ≈ -36.6° (rounded to one decimal place)

however, we need to adjust this   angle    by adding 180° since the ship is now in the southern hemisphere.

θ = -36.6° + 180°θ ≈ 143.4° (rounded to one decimal place) 6°w (or n36.6°e).

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We are 95% confident that the true mean number of books people read in the past year lies between 9.52 and 11.48 books.

What is mean?

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

To construct a confidence interval for the mean number of books people read, we can use the formula:

CI = x ± z*(s/√n)

Where:

x is the sample mean of the number of books read in the past year

s is the sample standard deviation of the number of books read in the past year

n is the sample size

z is the z-score for the desired confidence level (95% in this case)

Plugging in the values we have:

x = 10.5

s = 16.6

n = 1018

z = 1.96 (from the standard normal distribution table for a 95% confidence level)

CI = 10.5 ± 1.96*(16.6/√1018)

CI = 10.5 ± 0.98

CI = [9.52, 11.48]

We are 95% confident that the true mean number of books people read in the past year lies between 9.52 and 11.48 books. This means that if we were to repeat the survey many times, 95% of the intervals we construct would contain the true mean number of books read.

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Answer:

y = x + 4 y= x − 8 25 x + y =

3

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

i think so

if one jar of coffee costs y$ then 4 jars of coffee costs

4y$

have a nice day

The values of f ◦ g is equal to (x + 2)^2 + 1 and g ◦ f is equal to x^2 + 3.

f ◦ g is the composition of functions f and g, which means that for any x in the domain of g, we substitute g(x) into f(x) to get f(g(x)) = (x + 2)^2 + 1.

g ◦ f is the composition of functions g and f, which means that for any x in the domain of f, we substitute f(x) into g(x) to get g(f(x)) = x^2 + 1 + 2

So f ◦ g = (x + 2)^2 + 1 and g ◦ f = x^2 + 3

It's important to notice that the order of the functions matters when composing them, f ◦ g is not the same as g ◦ f. The composition of functions is a fundamental concept in mathematics and it's used to chain multiple functions together to create a new function.

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The graph shown in the equation y = - 2x - 4 is the graph that corresponds to that equation. The answer is option (B).

A data structure called a graph is used to show the mathematical connection between two or more objects. It is made up of nodes and edges, where nodes stand in for individual things and edges for the connections between them. In computer science, graphs are used to solve a variety of issues, including finding the shortest path between two points and figuring out whether a graph contains cycles. In addition, social networks, transportation networks, and many other kinds of networks can all be represented using graphs.

Option B's graph is the one that corresponds to the equation y = - 2x - 4.

The following is how the equation is written in slope-intercept form:

It is -2 degrees.

-4 is the intercept.

This shows that the slope of the graph is negative and that the trend line crosses the y axis at a negative four-degree angle.

The only graph with a negative slope and a -4 intercept is the one for option B.

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Complete question attached below,

The inverse functions of f(x) = 8x - 3 is correct as  \(\rm g(x) = \tfrac{x + 3}{8}\). Thus, the correct option is D.

When does the inverse function come into play?

Because they allow mathematical operations to be reversed, inverse procedures are critical for solving equations.

The inverse functions of f(x) = 8x - 3 is correct as g(x) = (x + 3)/8

As,

f(x) = 8x - 3

Rewrite your term as

x = 8y − 3

Solve for y

x = 8y − 3

8y = x + 3

\($ \rm y = \frac{x + 3}{8}\)

Change y with g(x)

Then you have g(x) = (x + 3)/8

Thus, The inverse functions of f(x) = 8x - 3 is correct as  \(\rm g(x) = \tfrac{x + 3}{8}\). Thus, the correct option is D.

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You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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A reasoning which he used in the decision to model the data with a linear equation is: D. the change in y-values is constant for evenly spaced x-values.

A linear equation can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

Also, the variables in all linear equations share a direct relationship and as such they are directly proportional to one another.

In conclusion, we can deduce that a reasoning which Jordan might have used in the decision to model the data with a linear equation is that the change in y-values is constant for evenly spaced x-values.

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Answer:

d

Step-by-step explanation:

edge 2022

The check number in the image is 403 based on the image of cheque and associated information.

The cheque is a piece of paper utilised in banks for transaction. It is also a valid proof of money exchange and is exchanged among people and buisness to transfer the money. There are different numbers on cheque representing crucial information.

The number 856425785 is the routing number, 2146578212 is the account number and 403 si the cheque number. $204.67 is the amount of transaction. The top left corner indicates money sender's credential while the hand written information is of the receiver. The date of writing cheque is used to calculate the validity of cheque.

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To make homemade pizza: Gather ingredients/tools, prepare dough, preheat oven, shape dough, assemble with sauce, cheese, and toppings, bake at 475°F for 12-15 mins, remove, slice, and serve hot. Customize as desired.

Process: How to make a homemade pizza

Gather Ingredients and Tools

Pizza dough (store-bought or homemade)

Tomato sauce

Cheese (mozzarella or your preferred type)

Toppings of choice (e.g., pepperoni, mushrooms, bell peppers, etc.)

Olive oil

Salt

Flour (for dusting)

Rolling pin

Baking sheet or pizza stone

Oven

Prepare the Dough

If using store-bought dough, follow the instructions on the package. If making homemade dough:

a) Combine flour, yeast, salt, and water in a mixing bowl.

b) Knead the dough until it becomes smooth and elastic.

c) Place the dough in a greased bowl, cover it, and let it rise until it doubles in size (usually around 1-2 hours).

Preheat the Oven

Set the oven temperature to 475°F (245°C) and allow it to preheat.

Shape the Dough

Sprinkle flour on a clean surface and place the dough on it.

Roll out the dough with a rolling pin, creating a round or rectangular shape according to your preference.

If you prefer a thinner crust, roll it out more; for a thicker crust, keep it slightly thicker.

Assemble the Pizza

Transfer the shaped dough to a greased baking sheet or pizza stone.

Brush olive oil over the surface of the dough to prevent it from getting soggy.

Spread a layer of tomato sauce evenly over the dough, leaving a small border for the crust.

Sprinkle a generous amount of cheese over the sauce.

Add your desired toppings on top of the cheese.

Bake the Pizza

Place the baking sheet or pizza stone with the assembled pizza in the preheated oven.

Bake for approximately 12-15 minutes or until the crust is golden brown and the cheese is bubbly and melted.

Remove and Serve

Carefully remove the pizza from the oven using oven mitts.

Let it cool for a few minutes before slicing it into desired portions.

Serve hot and enjoy!

Remember to customize the process based on personal preferences and dietary restrictions. Experiment with different toppings and techniques to create your perfect homemade pizza.

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Answer:

B

Step-by-step explanation:

It shows the P moving to the right three units without flipping it.

Answer:

it's 25 m/s in other word's C

Step-by-step explanation:

Answer:

C) 25m/s

Step-by-step explanation:

The highest point on the graph is located at 25m/s. Therefore that is the fastest speed the car traveled at.

Less generous, means that the value is less than 9:1 or 9/1

for the other values we have

now, let's find the values that are less than 9

4 < 9

2 < 9

then, the odds that are less generous are

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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Answer:

A{-4,-2,1,4} is the domain of function.

Answer:

1. 5x

2. 1x or x

3.-1x

4. -5x

5. 0

6. 3x

7. 11x

8. 2x

9. 6x+2y

10. 2x+4y

11. 3x+6y+z

12. 3x+3y

13.-9x+2y

14. 7x+5y

15. 3x-y

16. -7x-5y

17. 0

18. 9xy

19. 7x-2y+3z

20. -8+10

21. 2y

22.5x

23. -6x+11

Step-by-step explanation:

You cannot replace a type of formatting inside a cell with a different type of formatting.

Your search string is treated as a pattern by the dialog box, which then returns all records that do. Consider the case where you have a datasheet (a table or a query result) with details on clients, vendors, goods, and order dates. The find operation returns all occurrences of "mar" when you perform a search, along with any additional entries that meet the pattern you supplied.

The dialog box doesn't scan the full database; it simply searches one table at a time. You can search the table that supports a form if the dialog box is opened from within one.

For some features provided by the Find and Replace dialog box the search and replace feature can't accept the following condition.

That a user cannot replace a type of formatting inside a cell with a different type of formatting.

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Answer: 39/100 and percentage is 39%

Step-by-step explanation:

An approach of assigning probabilities which assumes that all outcomes of the experiment are equally likely is referred to as the "equally likely" or "classical" probability approach

The equally likely or classical probability approach assumes that each possible outcome of an experiment is equally likely to occur. This approach is based on the principle of symmetry and assumes that there is no inherent bias or preference towards any particular outcome

This approach is used for situations where there is no inherent bias or preference towards any particular outcome, and each outcome is considered equally likely to occur.

Therefore, the approach is classical probability approach

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Answer:

\(a_{37}=249\)

Step-by-step explanation:

A sequence that has a common difference is an arithmetic sequence:

\(a_n=a_1+(n-1)d\)

where aₙ is the nth term, n is the index, and d is the common difference.

In your question:

Plug those into the formula:

\(a_{37}=-39+(37-1)8\)

Then solve:

\(a_{37}=-39+(36)8\\a_{37}=-39+288\\a_{37}=249\)

375 hours  should be the warranty period so that only 1% of them fail before the warranty is over.

As per the details share in the above question are as follows,

A certain type of electric bulb is a random variable that is normally distributed with a mean of μ=500 hours

The standard deviation σ=20 hours

We have to determine what should be the warranty period so that only 1% of them fail before the warranty is over?

Now let us consider,

Probablity Z=(X-μ)/σ

Solving further we get,

P(Any bulb fail before 500 hours)

= P(z < (500 - 500)/20)

= P(z < 0) = 0.50

Thus,

P( Failed before 500 hours)

\(= (0.50)^3\)

= 0.125

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Step-by-step explanation:

Hope ot helps u mate

if there is any problem inbox me

Answer: 348

Step-by-step explanation: 12*29 = 348, which is the largest multiple less than 350.

The probability of the interval -1.62 < z < 2.01 in a standard normal distribution is approximately 0.9262 or 92.62%.

In a standard normal distribution, the mean is 0 and the standard deviation is 1. The z-score represents the number of standard deviations a data point is from the mean. To find the probability of a specific interval, we calculate the area under the curve between the corresponding z-values.

Given the interval -1.62 < z < 2.01, we need to find the area under the standard normal curve between these two z-values. This can be done using a standard normal distribution table or by using a statistical software or calculator.

By looking up the z-values in the table or using software, we find the corresponding probabilities: P(z < -1.62) = 0.0526 and P(z < 2.01) = 0.9788.

To find the probability of the interval -1.62 < z < 2.01, we subtract the probability of the lower bound from the probability of the upper bound: P(-1.62 < z < 2.01) = P(z < 2.01) - P(z < -1.62 = 0.9788 - 0.0526 = 0.9262.

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Answer:

4:7

Step-by-step explanation: