a region is bounded by semicircular arcs constructed on the side of a square whose sides measure $2/\pi$, as shown. what is the perimeter of this region?

The output of the LTI system with frequency response function \(h(w) = 1/(jw^3)\), given an input\(x(t)\), is:

\(y(t)\)= inverse Fourier transform of \([1/(jw^3) X(w)]\)

To compute the output of an LTI system with frequency response function \(h(w) = 1/(jw^3)\), given an input x(t), we can use the Fourier transform:

\(H(w)\) = Fourier transform of \(h(t)\)

\(X(w)\) = Fourier transform of \(x(t)\)

\(Y(w) = H(w) X(w)\)

\(Y(w)\) is the Fourier transform of the output \(y(t)\).

Using the given frequency response function, we have:

\(H(w) = 1/(jw^3)\)

Taking the Fourier transform of the input \(x(t)\), we have:

\(X(w)\) = Fourier transform of \(x(t)\)

And multiplying \(H(w)\) and\(X(w)\), we get:

\(Y(w) = H(w) X(w) = 1/(jw^3) X(w)\)

Taking the inverse Fourier transform of \(Y(w)\), we get the output \(y(t)\):

\(y(t)\) = inverse Fourier transform of \(Y(w)\)

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Answer:

i think x=4

Step-by-step explanation:

I'm too late aren't I... :c

Answer:

b. $9.96

Step-by-step explanation:

To solve this problem, let's first calculate how much Nina charges for shipping per painting. We'll divide the total shipping cost by the number of paintings sold.

When Nina sells 4 paintings and charges a total of $9.96 for shipping:

Shipping cost per painting = $9.96 / 4 = $2.49

When Nina sells 8 paintings and charges a total of $19.92 for shipping:

Shipping cost per painting = $19.92 / 8 = $2.49

We can see that regardless of the number of paintings sold, Nina charges $2.49 for shipping per painting.

Now let's calculate how much Nina charges for shipping 20 paintings and 16 paintings:

Shipping cost for 20 paintings = $2.49 * 20 = $49.80

Shipping cost for 16 paintings = $2.49 * 16 = $39.84

The difference in shipping charges for 20 paintings and 16 paintings is:

$49.80 - $39.84 = $9.96

Therefore, Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings. The correct option is (b) $9.96.

Given:

The above series is an arithemetic series.

The first term of the series is: a=2

The second term of the series is: b=10

The common difference of the series is,

The expression to calculate the n th term of the series is,

Substitute n=13 in the above expression to calculate the 13 th term.

Thus, the 13th term of the sequence is 98.

Answer:

Domain : 0 ≤ x ≤ 8

Range : 5450 ≤ f(x) ≤ 6588.65

Step-by-step explanation:

Expression representing the money Samantha collected after x years is,

f(x) = \(5450(1.024)^{x}\)

Time 'x' duration for the investment starts from t = 0 and ends at 8 years, so the domain of the given function will be,

Range : 0 ≤ x ≤ 8

Money collected in the fund from 0 to 8 years is,

f(0) = \(5450(1.024)^{0}\)

     = $5450

f(8) = \(5450(1.024)^{8}\)

     = $6588.6

Therefore, range of the graphed function will be,

Range : 5450 ≤ f(x) ≤ 6588.65

The area bounded by the graphs of y = x² + 17 and y = 0 over the interval -3 ≤ x ≤ 3 is 120 square units.

To find the area bounded by the two graphs, we need to calculate the definite integral of the difference between the upper function (y = x² + 17) and the lower function (y = 0) over the given interval.

Integrating the difference of the two functions, we have:

∫[from -3 to 3] (x² + 17 - 0) dx

Simplifying, the integral becomes:

∫[from -3 to 3] (x² + 17) dx

To evaluate this integral, we can use the power rule of integration. Integrating x² gives us (1/3)x³, and integrating the constant term 17 gives us 17x.

Applying the limits of integration, the integral becomes:

[(1/3)x³ + 17x] from -3 to 3

Evaluating the expression at the upper limit (x = 3) and subtracting the expression at the lower limit (x = -3), we get:

[(1/3)(3)³ + 17(3)] - [(1/3)(-3)³ + 17(-3)]

Simplifying further:

[(1/3)(27) + 51] - [(1/3)(-27) - 51]

= [9 + 51] - [-9 - 51]

= 60 + 60

= 120

Therefore, the area bounded by the two graphs is 120 square units.

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Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (4, 3)

m = \(\frac{3-0}{4+5}\) = \(\frac{3}{9}\) = \(\frac{1}{3}\) , thus

y = \(\frac{1}{3}\) x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 3) , then

3 = \(\frac{4}{3}\) + c ⇒ c = 3 - \(\frac{4}{3}\) = \(\frac{5}{3}\)

y = \(\frac{1}{3}\) x + \(\frac{5}{3}\) → A

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The equation of the line that passes through (-5, 0) and (4, 3) is

y = (1/3)x + 5/3.

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The general equation of a straight line is y = mx + c.

m = slope

c = y-intercept

We have,

A line passes through (-5, 0) and (4, 3)

Slope = m is given by:

m = (d - b) / (c - a)

where (a, b) and (c, d) are the points where the line passes.

Now,

Slope =m = (3 - 0)/(4 - (-5)) = 3/(4+5) = 3/9 = 1/3

We have,

y = mx + c

We can assume any point (-5, 0) or (4, 3) to find the value of the y-intercept.

Case 1.

(-5 , 0) = (x, y)

0 = 1/3(-5) + c

0 = -5/3 + c

c = 5/3

Case 2.

(4, 3) = (x, y)

3 = (1/3)4 + c

3 = 4/3 + c

c = 3 - 4/3

c = 9 - 4 / 3

c = 5/3

We will get the same value for c in both cases.

We have,

m = 1/3 and c = 5/3

The equation of the line can be written as:

y = (1/3)x + 5/3.

Thus the equation of the line that passes through (-5, 0) and (4, 3) is

y = (1/3)x + 5/3.

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Allow the adhesive to cure for a few minutes.7. If the patch is still visible, dye it or cover it with fabric paint to conceal it.

The best method of repair for a fabric-covered surface which has an L-shaped tear, each leg of which is approximately 14 inches long, is to use a patch, as the tear is too long to repair using a simple needle and thread.What is a patch?A patch is a piece of fabric or other material that is used to repair a hole or other damage in a larger piece of fabric. When it comes to covering holes or tears, patches can be quite useful.Patching processIt's time to patch the fabric once you've gathered all of the supplies. It's a fairly straightforward operation. Here's how to do it.1. Take a scrap piece of the same material as your torn fabric, making sure it's a few inches larger than the tear.2. Trim the patch down to the size of the tear, allowing for a margin of error of about half an inch on all sides.3. Apply adhesive to one side of the patch, making sure it's evenly distributed and covers the whole area.4. Put the patch on the wrong side of the torn fabric, ensuring that the adhesive side is facing the fabric.5. Smooth out the patch, working from the center outwards, to eliminate any air bubbles and ensure that the edges are fully adhered.6. Allow the adhesive to cure for a few minutes.7. If the patch is still visible, dye it or cover it with fabric paint to conceal it.

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To determine the interest rate that the bank should pay on its savings accounts in order to maximize profit, we need to consider the concept of maximizing the interest spread.

The interest spread is the difference between the interest rate at which the bank lends out money and the interest rate it pays on savings accounts. In this case, the bank loans out money at an interest rate of 18%.

To maximize profit, the bank should aim to maximize the interest spread. This means that the interest rate it pays on savings accounts should be lower than 18%.

However, setting the interest rate too low may discourage customers from depositing money in the bank's savings accounts, resulting in lower overall deposits and potentially lower profits.

Therefore, the bank needs to find a balance between attracting customers with a competitive interest rate and maximizing the interest spread. The exact interest rate will depend on various factors such as market conditions, competition, and the bank's business strategy.

In summary, to maximize profit, the bank should pay an interest rate on its savings accounts that is lower than the interest rate at which it lends out money (18%), while still remaining competitive in the market. The specific interest rate will depend on various factors and requires careful consideration by the bank.

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Answer:

I'm not completely sure, but I hope this helps.

The proportion of the committee that is left-handed is 4/15, which is equivalent to 0.267 when rounded to three decimal places.

A proportion is a way of expressing the relationship between two quantities. It is often written as a fraction, where the numerator represents the quantity of interest, and the denominator represents the total quantity.

In this case, we are interested in the proportion of left-handed senators, so the numerator will be the number of left-handed senators, which is 4. The denominator will be the total number of senators in the committee, which is 15. Therefore, the proportion of left-handed senators can be written as:

4/15

This fraction can also be expressed as a decimal by dividing the numerator (4) by the denominator (15) using a calculator or long division. When rounded to three decimal places, the decimal equivalent of the fraction is:

0.267

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The value of sin(u+v) given tan u = 15/8 is -9/221

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the their angles.

A right-angled triangle has 3 sides, hypotenuse, opposite and adjacent. The following should be noted:

Sin = Opposite / Hypothenuse

Tan = Opposite / Adjacent

Cos = Adjacent / Hypothenuse

When tan u = 15/8

Opposite = 15

Adjacent = 8

Hypothenuse will be:

= ✓(15² + 8²)

= ✓(225 + 64)

= ✓289

= 17

Therefore sin u = 15/17

When cos v = -5/13, it should be noted that sin v will be -12/13.

Therefore, sin(u + v) will be:

= 15/17 + (-12/13)

= 15/17 - 12/13

= 195/221 - 204/221

= -9/221

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Answer:

Here

Step-by-step explanation:

Answer:

$1.00 per bagel

Step-by-step explanation:

To find the unit rate, you just have to divide the number of bagels by how much they cost.

In your problem, the number of bagels is 6 and the price is also 6.

Now all you have to do is divide 6 by 6 and the answer to that is 1.

Example: 6 ÷ 6 = 1

Therefore, Plugging these values into the formula gives a variance of 3.25.

To find the variance of a binomial experiment, we use the formula:
Variance = n*p*q
Where n is the number of trials, p is the probability of success, and q is the probability of failure (1-p).
In this case, n = 13, p = 0.50, and q = 0.50.
So the variance of the random variable associated with this experiment is:
Variance = 13*0.50*0.50
Variance = 3.25
The variance of a binomial experiment with 13 independent trials and a probability of success of 0.50 is 3.25. This can be calculated using the formula variance = n*p*q, where n is the number of trials, p is the probability of success, and q is the probability of failure (1-p). In this case, the number of trials is 13, the probability of success is 0.50, and the probability of failure is also 0.50.

Therefore, Plugging these values into the formula gives a variance of 3.25.

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Answer:

5

Step-by-step explanation:

please brainlist

The measure of angle k from the given figure is 58 degree.

From the given figure, we have angle of sector = 174°.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Here, k+k+k=174° (Angle in equal sectors)

3k=174°

k=174°/3

k=58°

Therefore, the measure of angle k from the given figure is 58 degree.

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The answer to the following question is : a2 = 0a1 + 1a2 + 0*a3

To determine if b is in the span of {a1, a2, a3}, we can form the matrix B by concatenating the columns a and b and proceeding in the following manner:

Given that a = [a1, a2, a3] and b = [b1, b2, b3] are columns of a matrix A, and w is the span of the columns of A.

B = [a1, a2, a3, b]

We can then perform row reduction on B to determine if the columns of B are linearly independent. If the rank of B is 3, then {a1, a2, a3, b} are linearly independent, and b is not in the span of {a1, a2, a3}. If the rank of B is less than 3, then {a1, a2, a3, b} are linearly dependent, and b is in the span of {a1, a2, a3}.

To find the number of vectors in {a1, a2, a3}, we can count the columns of A, which is 3.

If b is in w, then b can be written as a linear combination of {a1, a2, a3}. That is, there exist scalars x, y, and z such that:

b = xa1 + ya2 + z*a3

We can also express this equation in matrix form:

[A | b] * [x y z 1]^T = 0

Since [A | b] is a 3x4 matrix, its rank can be at most 3. If the rank is 2, then there is a non-trivial solution to the equation above, which implies that b is in the span of {a1, a2, a3}. If the rank is 3, then there is no non-trivial solution, which implies that b is not in the span of {a1, a2, a3}.

To show that a2 is in w, we can again write a2 as a linear combination of {a1, a2, a3}:

a2 = 0a1 + 1a2 + 0*a3

This means that a2 can be written as a linear combination of the columns of A, so a2 is in the span of {a1, a2, a3} and hence in w.

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Answer:

it's D

Step-by-step explanation:

it's d because i guessed it was

Given the expression:

sin(135° - 60°)

Let's find the exact value of the expression.

First simplify the expression in the parentheses:

sin(135° - 60°) = sin(75°)

The exact value of sin(75°) is:

Part B.

Given the expression:

sin135° - cos60°

Let's find the exact value.

Apply the reference by finding the equivalent angle in the first quadrant.

We have the following:

Therefore, the exact value of the expression is:

ANSWER:

• Part A.

• Part B.

Answer:

I'd say the probability is just 50%

Step-by-step explanation:

The correct answer is S = {A, D, D, I, T, I, O, N}.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

The sample space is the set of all possible outcomes of an experiment or event.

In this case, the experiment is choosing one card from a set of eight labeled cards.

The sample space for this experiment is the set of all possible cards that can be chosen.

In the given problem, there are eight cards labeled A, D, D, I, T, I, O, N.

The sample space is the set of all possible cards that can be chosen, which is {A, D, D, I, T, I, O, N}.

This is because each card is distinct and can be chosen independently of the others.

Therefore, the correct answer is S = {A, D, D, I, T, I, O, N}.

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Answer: A( A,D, D,I, I,N,O,T)

Step-by-step explanation:

Order does not matter!!

Answer:

5x+18

Step-by-step explanation:

Are u dividing ? or no?... or adding more details plzz

Answer

99

Step-by-step explanation:

The equation parallel to y= -2x + 10 and passing through point (3,-1)  is

y= -2x+5 with slope -2.

What is a point?

A point is defined as a location in any space and is represented by a dot (.). It does not have any length, height, shape, or size.

Main Body:

given equation is y= -2x+10

slope of given equation ⇒ y= mx+b

therefore slope of eqaution = -2

equation of line parallel to point (3,-1) =

y-y₁ =m(x-x₁)

y-(-1) = -2(x-3)

y+1 = -2x +6

y= -2x+5

Hence the answer is y=-2x+5.

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Answer: (-2, -5)

Step-by-step explanation:

When reflecting over the y axis, (x, y) becomes (-x, y).

So A(2, -5) turns into (-2, -5).

a. The equation to represent the situation is y = -12x + 120, where x is the number of movies and y is the amount of money remaining on the gift card.

Money is a medium of exchange that is widely accepted as a way to pay for goods and services or to settle debts. Money also serves as a store of value, providing a way for people to save for the future. Money is generally created through government-backed fiat currencies, such as the U.S. dollar, which are issued and regulated by central banks. Money can also be created in the form of crypto-currencies, such as Bitcoin, which are not issued by any single government or central bank. Money is essential for economic growth and stability, as it allows for efficient exchanges of goods and services. Money can also be a source of financial security, providing people with a way to manage their finances and plan for the future.

b. The slope of -12 indicates that for every movie that Elyse sees, she will spend $12 from her gift card. The y-intercept of 120 indicates that if Elyse has not seen any movies, she will have $120 remaining on her gift card.

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The situation is,

a) The line equation is \(y = -3x - 6\)

b) The line's y-intercept is -6, which indicates that when the amount of movies x = 0 , the amount on gift y = -6

c) The slope of the line is -3, indicating that as the number of movies x increases, the rate of change of the amount on the gift is declining.

a). The equation provides the line's slope.

Slope,

\(m=\frac{(y_2-y_1)}{(x_2-x_1)}\)

Changing the numbers indicated in the slope equation,

Slope,

\(m=\frac{(6-12)}{(4-2)}\)

Slope m = -6/2

Slope m = -3

The slope is -3

The equation of the line is,

\(y - y_1 = m ( x - x_1 )\)

Substitute the given values in the equation,

\(y - 12 = -3 ( x - 2 )\)

Simplify the equation,

\(y - 12 = -3x + 6\)

Adding 12 on both sides

\(y = -3x - 6\)

The equation of line is \(y = -3x - 6\)

b). The y-intercept of the equation of line \(y = -3x - 6\) is \(-6\), when \(x=0\)

c). The slope of the line \(y = -3x - 6\) is \(m = -3\) and the value is decreasing

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The completr question and graph attached below,

c. What is the slope, and what does it mean in the context of the situation?

Answer:

Let's define:

G = cost of a goat

S = cost of a sheep.

We know that the total cost for a goat and a sheep is £120, then:

S + G = £120

And the cost of the goat is twice the price of the sheep, then:

G = 2*S

To solve this system, we can just replace the second equation into the first one, then we get:

S + (2*S) =  £120

3*S =  £120

S =  £120/3 =  £40

This means that each sheep costs  £40

And the cost of a goat is:

G = 2* £40 =  £80.

Now we know that he sold both of them, where:

s = price of the sheep

g = price of the goat.

We know that he sold both of them for £180, then:

s + g = £180

And the profit of the sheep is twice the profit of the goat, then:

(s - S) = 2*(g - G)

(s -  £40) = 2*(g -  £80)

s  -  £40 = 2*g -  £160

Then we have a system of equations:

s + g = £180

s  -  £40 = 2*g -  £160

To solve this, we first could isolate g in the first equation:

g = £180 - s

Replacing this in the other equation we get:

s - £40 = 2*( £180 - s) -  £160

s - £40 = £360 - 2*s - £160

s - £40 = £200 - 2*s

s + 2*s = £200 - £40 = £160

3*s = £160

s = £160/3 = £53.33

Then the percentage profit for the sheep is:

percentage profit = (s/S)*100% = (£53.33/£40)*100% = 133.3%

Then the percentae profit is 33.3%, which means that the sheep was sold at 133.3% of its original cost, leaving a profit of 33.3% of its original cost.

Answer: 2.4 x 10^-2

Step-by-step explanation:

6 x 4 = 24 (you can do this because powers are the same)
24 x 10^-3
2.4 x 10^-2