Sammy's home has a value of $180,000. If the property tax rate where he lives is 1.245% how much does he pay in property taxes? Enter your answer rounded to the nearest dollar, such as: $3253. ​

The indefinite integral for this problem has the result given as follows:

\(\int -10\sin{(-2x)}e^{\cos{(-2x)}} dx = 5e^{cos{(-2x)}} + K\)

The indefinite integral in the context of this problem is defined as follows:

\(\int -10\sin{(-2x)}e^{\cos{(-2x)}} dx\)

Applying the substitution to solve the integral, we have that:

u = cos(-2x)

du = -2cos(-2x) dx

dx = -du/2cos(2x)

Hence the simplified integral is given as follows:

\(5\int e^u du\)

The integral is simply \(e^u\), hence, replacing x back into the solution, the indefinite integral is given as follows:

\(\int -10\sin{(-2x)}e^{\cos{(-2x)}} dx = 5e^{cos{(-2x)}} + K\)

In which K is the constant of integration.

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Answer:

15.5

Step-by-step explanation:

because thats the right answer

Answer:

15.5

Step-by-step explanation:

So I've put up 9.3 at the bottom, and put 0.6 on the outside, and did the whole thing, so i got 15.5, and checked my calculator and it was correct!

Did this help?

And make sure noone took my answer

2. The transformations are given as follows:

3. The transformations are given as follows:

For item 2, the transformations in this problem are given as follows:

For item 3, the transformations are given as follows:

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\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:-\dfrac{1}{\sqrt{3-2x}} \)

____________________________________

\( \large \tt Solution \: : \)

We newd to find the derivative of given function :

\(\qquad \tt \rightarrow \: y = \sqrt{3 - 2x} \)

\(\qquad \tt \rightarrow \: y = (3 - 2x) {}^{ \frac{1}{2} } \)

\(\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{d}{dx} (3 - 2x) {}^{ \frac{1}{2} } \)

\(\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{1}{2} \sdot(3 - 2x) {}^{ - \frac{1}{2} } \sdot( - 2)\)

\(\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{1}{ \cancel2} \sdot\frac{1}{(3 - 2x) {}^{ \frac{1}{2} } }\sdot( - \cancel2)\)

\(\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ - 1}{ \sqrt{ (3 - 2x) {}^{ }} }\)

Correct option : B

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The quantity of Willow's books that are mysteries would be = 125 books.

To calculate the quantity of books that are mysteries the following is carried out.

The total number of books that willow has = 225 books

The total number of books that are mysteries = 5/9 of 225

That is ;

= 5/9 × 225/1

= 1125/9

= 125 books.

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Answer:

Step-by-step explanation:

45+8x+21+90=180 degree(sum of interior angles of a triangle)

156+8x=180

8x=180-156

8x=24

x=24/8

x=3

Answer:

• from first principles rule:

\({ \boxed{ \bf{ \frac{ \delta y}{ \delta x} = {}^{lim _{x} } _{h \dashrightarrow0} \: \frac{f(x + h) - f(x)}{h} }}}\)

• f(x) → (csc x)^½

• f(x + h) → {csc (x + h)}^½

\({ \rm{ \frac{ \delta y}{ \delta x} = {}^{lim _{x} } _{h \dashrightarrow0} \: \frac{ \{\csc(x + h) \} {}^{ \frac{1}{2} } - (\csc x ) {}^{ \frac{1}{2} } }{h} }} \\ \\ \hookrightarrow \: { \tt{rationalise : }} \\ \\ = { \rm{{}^{lim _{x} } _{h \dashrightarrow0} \: \frac{ \csc(x + h) - \csc x }{h \{ \{\csc(x + h) \} {}^{ \frac{1}{2} } + ( \csc x) {}^{ \frac{1}{2} } \} } }} \\ \\ = { \rm{{}^{lim _{x} } _{h \dashrightarrow0} \: \frac{1 - (\sin (x + h))( \csc x)}{h \{ \sin(x + h) \} \{ \csc(x + h) \} {}^{ \frac{1}{2} } \{ \csc x \} {}^{ \frac{1}{2} } }}} \\ \\ = { \rm{ = { \rm{{}^{lim _{x} } _{h \dashrightarrow0} \: \frac{1 - ( \sin(x) \cos(h) + \cos(x) \sin(h)) \csc x }{h \{ \sin(x + h) \} \{ \csc(x + h) \} {}^{ \frac{1}{2} } \{ \csc x \} {}^{ \frac{1}{2} } }}} }} \\ \\ = { \rm{ = { \rm{{}^{lim _{x} } _{h \dashrightarrow0} \: \frac{1 - \cos(h) + \cot(x) \sin(h) }{h \{ \sin(x + h) \} \{ \csc(x + h) \} {}^{ \frac{1}{2} } \{ \csc x \} {}^{ \frac{1}{2} } }}} }} \\ \\ { \tt{but : \sin(h) \approx h}} \\ { \tt{ : \cos(h) \approx 1 }} \\ \\ = { \rm{{{}^{lim _{x} } _{h \dashrightarrow0 \: } \: \frac{h \cot(x) }{h \{ \sin(x + h) \} \{ \csc(x + h) \} {}^{ \frac{1}{2} } \{ \csc x \} {}^{ \frac{1}{2} } } }}} \\ \\ { \tt{h \: tends \: to \: 0}} \\ \\ { \boxed{ \rm{ \frac{dy}{dx} = - \frac{1}{2 \sqrt{ \cot(x) \csc(x) } } }}}\)

Answer:

Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:

7 + 24 + 14 + 1 + 4 = 50

Therefore, there are 50 individuals included in the summary.

Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.

Let's say a and b are the legs, and c is the hypotenuse. Then, algebraically, the theorem is,

At a 5% level of significance, we reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the percentage of vegetarians in age group 18 to 35 years is higher than 5%.

To test the hypothesis that the percentage of vegetarians is higher in the age group 18 to 35 years at a 5% level of significance, we can use a hypothesis test with the following null and alternative hypotheses:

Null hypothesis (H0): The percentage of vegetarians in the age group 18 to 35 years is equal to 5%.

Alternative hypothesis (Ha): The percentage of vegetarians in the age group 18 to 35 years is greater than 5%.

We can conduct a one-tailed z-test to test this hypothesis, using the following formula:

z = (p - P0) / sqrt(P0 * (1 - P0) / n)

where:

p is the sample proportion of vegetarians in the age group 18 to 35 years

P0 is the hypothesized proportion (5%)

n is the sample size

We will reject the null hypothesis if the calculated z-value is greater than the critical z-value corresponding to a 5% level of significance (one-tailed test).

Assuming a sample of size n = 100, if we find that 10 people in the sample identify themselves as vegetarians, then the sample proportion is:

p = 10/100 = 0.1

Using the formula above, we can calculate the z-value:

z = (0.1 - 0.05) / sqrt(0.05 * 0.95 / 100) = 1.96

The critical z-value for a one-tailed test at a 5% level of significance is 1.645 .

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Grasshoper

Actual: 2 in

Magnified: 15 in

The scale factor is given by:

Black beetle

Actual: 0.6 in

Magnified: 4.2 in

The scale factor is:

Honybee

Actual: 5/8 in

Magnified: 75/16 in

The scale factor is:

Monarch butterfly

Actual: 3.9 in

Magnified: 29.25 in

The scale factor is:

Answer:

Grasshoper, Honybee and Monarch butterfly have the same factor scale = 7.5

Black beetle has a factor scale = 7

Answer:

Step-by-step explanation:

Length of stick = x meters

Length of string = 4 * length of stick

                         = 4 * x

                          = 4x

Answer:

4x

Step-by-step explanation:

Since x is the length of the stick and the string is 4 times as long as the stick, the length with be 4 times x or 4x.

The graph of the feasible region is attached

From the question, we have the following parameters that can be used in our computation:

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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The standard error is 0.0912.

The standard error (SE) is a measure of the precision of the sample mean estimate compared to the true population mean. To calculate the SE, we use the formula SE = standard deviation / square root of sample size.

In this scenario, the population parameter is 0.7, and the sample size is 30. If we assume that the sample mean is an unbiased estimator of the population mean, then the SE can be calculated using the above formula. However, we do not know the standard deviation of the population, so we use the sample standard deviation as an estimate.

Assuming the sample is large enough to assume normality, the formula becomes SE = \(\sqrt{(0.7*0.3)/30}\)   = 0.0912. Therefore, the standard error for a sample size of 30 is 0.0912. This means that if we were to take multiple samples of size 30 from the same population, the standard deviation of the means of those samples would be around 0.0912 away from the population parameter of 0.7 on average.

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Answer:

165 minutes

Step-by-step explanation:

To solve for the number of minutes that Joaquin played for, we can use this expression:

(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)

Subtracting 1:10 from each side:

1:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.

So, the expression is now:

So, 2 hours and 25 minutes passed.

If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:

Now we need to add on the number of minutes and the time it took him to get home:

Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.

Answer:

x=E

Step-by-step explanation:

The average rate of change of the function over the interval is -6

From the question, we have the following parameters that can be used in our computation:

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

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The equation of the parabola in vertex form is y = (x - 0)² + 8, which simplifies to y = x² + 8.

We have,

The vertex form of a parabola is given by the equation y = a(x - h)² + k, where (h, k) represents the vertex of the parabola.

Now,

Given that the parabola passes through (-2, 4) and has a vertex (0, 8), we can substitute these values into the equation to find the value of 'a'.

Using the vertex (0, 8):

8 = a(0 - 0)² + 8

8 = a(0) + 8

8 = 8

Since the coefficient of the squared term is 'a', which remains unchanged, we can conclude that a = 1.

Therefore,

The equation of the parabola in vertex form is y = (x - 0)² + 8, which simplifies to y = x² + 8.

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The correct option for the expression (5 + 9) + 10 showing the associative property is  5+ (9 + 10) = 5 + 19 = 24

The associative property of addition states that the sum of three or more numbers remains the same regardless of how the numbers are grouped.

Given that, an expression, (5 + 9) + 10

According to associative property of addition, (a+b)+c = a+(b+c)

Therefore,

(5 + 9) + 10 = 5+(9+10)

= 5+19

= 24

Hence, the correct option for the expression (5 + 9) + 10 showing the associative property is  5+ (9 + 10) = 5 + 19 = 24

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Answer:

A

Step-by-step explanation:

Area = 1/2 * b * h

b = 4 in

h = 2.5 inches

Area = 1/2 * 4 * 2.5

Area = 2 * 2.5

Area = 5 in^2

Answer:

The value of y° = 80°

Step-by-step explanation:

Given

m∠A = 20

m∠B = x°

as

x = 100,

so

m∠B = 100

We know that the sum of angles of a triangle is 180°.

Thus, the m∠C of the triangle ABC can be calculated as:

m∠A + m∠B + m∠C = 180°

20° + 100° + m∠C = 180°

                    m∠C = 180° - 120°

                              = 60°

As we know that Vertical angles are always congruent.

In other words, m∠C is common in both triangles ΔABC and ΔCDE

m∠C = 60°

m∠E is also given.

i.e. m∠E = 40°

as

m∠D = y°

So, we have to determine m∠D in order to determine y°.

We know that the sum of angles of a triangle is 180°.

Thus, using the values of the angles ΔCDE

i.e.

m∠C + m∠D + m∠E = 180°

60° + y° + 40° = 180°

y° = 180° - 100°

y° = 80°

Therefore, the value of y° = 80°

Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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Answer:

I hope this will be helpful to you mark me as brainliest pls

Answer:

C

Step-by-step explanation:

- (\(\frac{28x+12}{8}\) ) < 6x - 30 ( multiply both sides by 8 to clear the fraction )

- (28x + 12) < 48x - 240 ← distribute parenthesis by - 1

- 28x - 12 < 48x - 240 ( subtract 48x from both sides )

- 76x - 12 < - 240 ( add 12 to both sides )

- 76x < - 228

divide both sides by - 76 reversing the symbol as a result of dividing by a negative quantity.

x > 3

The y-intercept for the equation is (0, -2). So option C is correct.

When a line crosses the x-axis, or the location where y=0, this point is known as the x-intercept of the line. Setting y=0 in the equation of the line will allow you to find the x-intercept of the line. Typically, the x-intercept is shown as (a,0), where a represents the point's x-coordinate.

The point where a line crosses the y-axis, or where the value of x equals 0, is known as the y-intercept. By setting x=0 in the line's equation and calculating y, you can determine the y-intercept of a line. Typically, the y-intercept is shown as (0,b), where b is the point's y-coordinate.

Given that,

A line,

-2x + 5y = -10

y-intercept = ?

-2 x 0 + 5y = -10

5y = -10

y = -10/5

y = -2

Hence, the  y-intercept is (0, -2)

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The sum οf all pοssible lengths fοr TP is 12

A triangle is a type οf pοlygοn with three sides; the pοint where the twο sides meet is knοwn as the vertex οf the triangle. Between twο sides, an angle is created. One οf geοmetry's key cοmpοnents is this.

Triangle prοperties are necessary fοr sοme fundamental ideas, including the Pythagοrean theοrem and trigοnοmetry. Based οn its angles and sides, a triangle can be classified intο variοus types.

Given that triangle TIP and triangle TOP are isοsceles triangles with sides;

TI = 5, PI = 7, PO = 11

Therefοre, given that triangle TIP is an isοsceles triangle, the length οf segment TP will be equal either the length οf segment TI οr segment PI which give;

TP = TI 5 οr TP = PI = 7

The sum οf all pοssible lengths fοr TP is given by the sum οf the twο unequal sides οf triangle TIP which gives;

The sum οf all pοssible lengths fοr TP = 5 + 7 = 12.

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Answer:

There is no picture.....

Step-by-step explanation:

what graphed solution?

The values of the six trignometric functions for the angle are

The above sketch an angle θ in standard position such that θ has the least possible positive measure, and the point (0,-2) is on the terminal side of θ. We have to determine the value of six

triganomertric functions at angle θ. As we see at terminal side point (0,-2) the value of angle θ = 3π/2. The six trigonometric functions are sine, cosine , secant , cosecant , tangent , cotangent .

= Sin ( 180° + π/2) = - sin(π/2) ( since, 180° + θ represents 3rd quadrant where sinθ is negative)

=> Sinθ = - 1

= Cos( 180° + π/2) = - Cos(π/2) ( since, 180° + θ represents 3rd quadrant where cosθ is negative)

=> Cosθ = Cos(π/2) = 0

= tan( 180° + π/2) = - tan(π/2) ( since, 180° + θ represents 3rd quadrant where tanθ is positive)

=> tanθ = - sin(π/2)/cos(π/2) = 1/0

= undefined

= Csc( 180° + π/2) = - Csc(π/2) ( since, 180° + θ represents 3rd quadrant where cscθ is negative)

=> Cscθ = - Csc (π/2) = - 1/sin(π/2) = 1

= Sec( 180° + π/2) = - Sec(π/2) ( since, 180° + θ represents 3rd quadrant where secθ is negative)

=> Secθ = -Sec(π/2) = -1/cos(π/2) = - 1/0

= undefined

= Cot( 180° + π/2) = Cot(π/2) ( since, 180° + θ represents 3rd quadrant where cotθ is positive)

=> Cotθ = cot(π/2) = Cos(π/2)/sin(π/2) = 0

Hence, we determined all required triganomertric functions value for θ=3π/2.

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The six trignometric functions' values for the angle are

Tan = tan(3/2) = undefined, Sin = Sin(3/2) = -1, Cos = Cos(3/2) = 0, and vice versa.

Cot = Cot(3/2), Csc = Csc(3/2), and Sec = Sec(3/2), respectively.

The above drawing shows an angle in standard position with the point (0,-2) on the angle's terminal side and the smallest positive measure achievable. We must calculate the value of six.

Triganomertric operates at an angle. As can be seen, the angle's value is 3/2 at the terminal side point (0,-2). In trigonometry, there are six different functions: sine, cosine, secant, cosecant, tangent, and cotangent.

At this point, Sin = Sin(3/2) = Sin( + /2)

= Sin ( 180° + π/2) Since 180° + denotes the third quadrant, where sin is negative, the expression is equal to - sin(/2).

=> Sinθ = - 1

Cos is equal to Cos(3/2) = Cos(+/2)

because 180 degrees, = Cos(180° + /2) = - Cos(/2)

Since 180° + denotes the third quadrant, where cos is negative, the equation is Cos(180° + /2) = - Cos(/2).

Hence, Cos = Cos(/2) = 0.

Tan is equal to Tan (3/2) = Tan (+/2)

= tan( 180° + π/2) Since 180° + denotes the third quadrant, where tan is positive, the expression is = - tan(/2).

Consequently, tan = - sin(/2)/cos(/2) = 1/0

not defined

Csc is equal to Csc(3/2) = Csc(+/2)

Since 180° + represents the third quadrant, where csc is negative, Csc(180° + /2) = - Csc(/2)

=> 1/sin(/2) = 1 = Csc = - Csc (/2)

Se( + /2) = Se( = Sec(3/2)

Since 180° + represents the third quadrant, where sec is negative, sec(180° + /2) = - Sec(/2)

The formula is: Sec = -Sec(/2) = -1/cos(/2) = -1/0.

not defined

Cot = Cot(3/2), which equals Cot(+/2)

Since 180° + denotes the third quadrant, where cot is positive, the equation is Cot(180° + /2) = Cot(/2).

Consequently, Cot = Cot(2/2) = Cos(2/2)/sin(2/2) = 0

As a result, we calculated the values for all necessary triganomertric functions for 3/2.

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Using the function f(x) = 1/2 x and the inverse of the function f⁻¹(x) = 2x, the solutions of the given are :

f(2) = 1, f⁻¹(1) = 2, f⁻¹(f(2)) = 2

f⁻¹(-2) = -4, f(-4) = -2, f(f⁻¹(-2)) = -2

Given a function,

f(x) = 1/2 x

And an inverse function,

f⁻¹(x) = 2x

We have to find the values of the following.

f(2) = 1/2 × 2 = 1

f⁻¹(1) = 2 × 1 = 2

f⁻¹(f(2)) = f⁻¹(1) = 2 × 1 = 2

f⁻¹(-2) = 2 × -2 = -4

f(-4) = 1/2 × 4 = -2

f(f⁻¹(-2)) = f (-4) = 1/2 × 4 = -2

So, in general, f⁻¹(f(x)) = f(f⁻¹(x))

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Answer:

Hello your question is incomplete below is the complete question

Let R be a relation from A to B and S a relation from B to C.

(a) Prove that  . \(Dom(S \circ R) \subseteq Dom(R)\)

(b) Find a counterexample to show that we don’t always have equality.

answer : (b) Dom ( S o R ) = [ 1 ] and Dom ( R ) = [ 1, ∝ ]

              hence: Dom ( S o R ) ≠ Dom ( R )

Step-by-step explanation:

Note : R ⊆ A * B and  S ⊆ B * C

A) To prove that \(Dom(S \circ R) \subseteq Dom(R)\)

 we take note that : S o R ⊆ A x C

ATTACHED BELOW IS THE REMAINING PART OF THE SOLUTION

B) A counterexample to show that we don't always have equality

attached below is a assumptions and solution on how we arrived at the value below

Dom ( S o R ) = [ 1 ] and Dom ( R ) = [ 1, ∝ ]

hence: Dom ( S o R ) ≠ Dom ( R )

This causes the volume of the balloon to decrease, leading to an increase in the number of collisions between gas particles and the inside surface of the balloon, and causing the balloon to shrink and shrivel up.

Temperature is a measure of the average kinetic energy of the particles in a substance or system. In other words, it is a measure of how hot or cold something is relative to a standard reference point. The SI unit of temperature is the kelvin (K), but temperature is often measured in degrees Celsius (°C) or Fahrenheit (°F) in everyday life. Temperature plays a crucial role in many natural and man-made processes, and is a key factor in determining the behavior of matter at different states.

Here,

When a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy and slow down. As the temperature drops, the average kinetic energy of the gas particles decreases, causing them to move slower and collide less frequently. This results in a decrease in pressure inside the balloon.

According to the Ideal Gas Law, PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. As the pressure inside the balloon decreases, its volume also decreases, since the number of moles of gas and the gas constant remain constant.

Since the balloon is sealed, the gas particles cannot escape, so they continue to collide with each other and the inside surface of the balloon. As the volume of the balloon decreases, the gas particles become more crowded, increasing the number of collisions between them. This leads to a decrease in the distance between the gas particles and the inside surface of the balloon, causing the balloon to shrink and shrivel up.

In summary, when a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy, slow down, and collide less frequently, resulting in a decrease in pressure inside the balloon.

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