Around a park, there is a circular walking path with a radius of 500 feet. sandy walked 135 degrees around the circular path. approximately how many feet did sandy walk around the path?
A. 2356
B. 3142
C. 1178
D. 6283

Likelihood is the probable chances of occurrence of an event.

It simply means: what’s the chance “x” will occur?

I have a jar with 20 candies of which 10 are red, 5 are blue, 3 are green, and 2 are white. If I randomly grab 1 candy, what’s the likelihood it’ll be red? In other words: what’s the *chance* it’ll be a red candy?

(It’s 10/20 = 1/2 = 50%, by the way, but it’s just an example).

8.1

Step-by-step explanation:

according it bidmas or pemdas depending on your syllabus division comes first so 9/10 is 0.9 then doing 9 x 0.9 is 8.1

Marty's taxable income of $510,000 falls within the last tax bracket, his marginal tax rate would be 37%.

To determine Marty's marginal tax rate, we need to refer to the tax brackets for the given year. However, as my knowledge is based on information up until September 2021, I can provide you with the tax brackets for that year. Please note that tax laws may change, so it is always best to consult the current tax regulations or a tax professional for accurate information.

For the 2021 tax year, the marginal tax rates for individuals are as follows:

10% on taxable income up to $9,950

12% on taxable income between $9,951 and $40,525

22% on taxable income between $40,526 and $86,375

24% on taxable income between $86,376 and $164,925

32% on taxable income between $164,926 and $209,425

35% on taxable income between $209,426 and $523,600

37% on taxable income over $523,600

Since Marty's taxable income of $510,000 falls within the last tax bracket, his marginal tax rate would be 37%. However, please note that tax rates can vary based on changes in tax laws and regulations, so it's essential to consult the current tax laws or a tax professional for the most accurate information.

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Answer: 77°

Step-by-step explanation:

103° - 90°= 13°,  13° = 10 min

13°+13°= 26°

103°-26°= 77°

An author can show indirect characterization through a character's thoughts, feelings, actions, and the setting of the story, as well as through their effect on others and their role in the rising action of the plot.

All of these elements can provide insights into a character's personality, motivations, and values, without the author explicitly stating them.

By carefully observing the character's interactions with others, their reactions to events, and the situations in which they find themselves, readers can draw conclusions about who the character is and what drives them.

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Answer:

0; 60; 360°.

Step-by-step explanation:

1) to solve the given equation without limitation;

2) to apply the given limitation to the solution of the given equation.

all the details are provided in the attachment. The answer is marked with red colour.

Note, the provided way is not the shortest one.

Answer:

Step-by-step explanation:

I’m pretty sure it’s b

Answer:

87.5

Step-by-step explanation:

i'd say 4

since $65 - 5 = 60, then divide that by 15 and you get 4

The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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The volume of the solid is 243/2 cubic units. To find the volume of the solid, we need to integrate the function z = 9 - y - x^2 over the bounded region in the first octant.

The region is bounded by the coordinate planes, so we have the limits of integration as follows:

0 ≤ x ≤ √9-y
0 ≤ y ≤ 9

The solid is bounded, so the integral will give us a finite volume:

V = ∫∫z dA, where the double integral is taken over the bounded region.

V = ∫[0,√9-y]∫[0,9] (9-y-x^2) dx dy

We can simplify the integrand by integrating with respect to x first:

V = ∫[0,9] ∫[0,√9-y] (9-y-x^2) dx dy
V = ∫[0,9] (9y - y^2 - 3(9-y)^2/2) dy
V = ∫[0,9] (-3y^2 + 54y - 243/2) dy
V = [-y^3/3 + 27y^2 - 243/2 y] [0,9]
V = 243/2

Therefore, the volume of the solid is 243/2 cubic units.

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Answer:

its 4√2i i think

Step-by-step explanation:

Answer:

Answer:B

Step-by-step explanation:

We need to evaluate the line integral ∫CF.dr for two different paths, r1(t) and r2(t), where F = (x^2 + y^2) dx + 2xy dy.

We will use the fundamental theorem of line integrals to determine if F is conservative.

Since F has continuous first-order partial derivatives, we can check if F is conservative by verifying that ∂F/∂y = ∂M/∂x, where M = x^2 + y^2 and N = 2xy are the components of F. We have:

∂F/∂y = 2xy = ∂M/∂x

Therefore, F is conservative.

By the fundamental theorem of line integrals, the line integral of a conservative field depends only on the endpoints of the path, and not on the path itself.

Therefore, we can choose any path that connects the same two endpoints and calculate the line integral along that path.

(a) Using r1(t) = t^5i + t^2j, 0 ≤ t ≤ 2:

We have:

dr/dt = 5t^4i + 2tj

Substituting into F, we get:

F = (t^10 + t^4) dt + 2t^3 dt

Therefore, the line integral along r1(t) is:

∫CF.dr = ∫0^2 F(r1(t)).(dr/dt) dt
= ∫0^2 [(t^10 + t^4) dt + 2t^3 dt] . (5t^4i + 2tj)
= ∫0^2 (5t^15 + 7t^5) dt
= (5/16) (2^16 - 1) + (7/6) (2^6 - 1)

(b) Using r2(t) = 5cos(t)i + 2sin(t)j, 0 ≤ t ≤ π/2:

We have:

dr/dt = -5sin(t)i + 2cos(t)j

Substituting into F, we get:

F = (25cos^2(t) + 4sin^2(t)) dt - 20sin(t)cos(t) dt

Therefore, the line integral along r2(t) is:

∫CF.dr = ∫0^(π/2) F(r2(t)).(dr/dt) dt
= ∫0^(π/2) [(25cos^2(t) + 4sin^2(t)) dt - 20sin(t)cos(t) dt] . (-5sin(t)i + 2cos(t)j)
= ∫0^(π/2) (20cos^2(t) - 45sin^2(t)) dt
= 20(π/4) - 45(1/4)

Hence, the value of the line integral for both paths r1(t) and r2(t) is:

(5/16) (2^16 - 1) + (7/6) (2^6 - 1) = 1247.875

Note that the line integral is the same for both paths, as expected for a conservative field.

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Answer:

#1

Step-by-step explanation:

-7- Go back 7 numbers from 0

6- Go foward 6 numbers from -7

-4- Go down 4 numbers from -1

-7+6=-1

Go four down from -1

(-1,-4)

Hope this helped :)

Answer:

1.6(10-5)2= 1.6(5)2= (8)(2)=16

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

     Substitute x = 10 and y = 5 in the expression.

1.6(x - y)² = 1.6(10 - 5)²

               = 1.6 * (5)²

               = 1.6 * 25

               = 40

Answer:

Step-by-step explanation:

cosФ=0 then the angle=π/2=90 degrees

sinФ==1     sin 90=1

12) the original price of the console  that Amanda bought :

240+(240*50%)=360 dollars

the price before the tariffs:

360-(360*50^)=180 dollars

The length of side b is 56m, angle A is 45°, and angle C is 67°.

In the given triangle with side lengths a = 74m, b ≈ 56m, and c = 36m, the length of side b is approximately 56m.

To solve the triangle, we can use the Law of Cosines and the fact that the sum of angles in a triangle is 180 degrees. Given angle B = 67°51', we have:

Using the Law of Cosines, we have:

b² = a² + c² - 2ac * cos(B)

Substituting the known values:

b² = 74² + 36² - 2 * 74 * 36 * cos(67°51')

Calculating the value of b:

b ≈ √(74² + 36² - 2 * 74 * 36 * cos(67°51'))

b ≈ 55.92m (rounded to the nearest whole number, b ≈ 56m)

Using the Law of Cosines again, we have:

cos(A) = (b² + c² - a²) / (2 * b * c)

Substituting the known values:

cos(A) = (56² + 36² - 74²) / (2 * 56 * 36)

Calculating the value of A:

A = cos⁻¹((56² + 36² - 74²) / (2 * 56 * 36))

A ≈ 45° (rounded to the nearest whole number)

Using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

Substituting the known values:

C ≈ 180° - 45° - 67°51'

Calculating the value of C:

C ≈ 67°9' (rounded to the nearest whole number, C ≈ 67°)

Therefore, in the given triangle, the length of side b is approximately 56m, angle A is approximately 45°, and angle C is approximately 67°.

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Trapezoid is the quadrilateral with only one pair of opposite parallel sides.

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.

Given that, each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties.

Trapezoid is a quadrilateral having base angles equal and one pair of opposite sides are parallel.

Hence, the correct option is Trapezoid.

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The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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Answer:

87.5% are pennies

Step-by-step explanation:

7/8 = 87.5%

Hope this helps!!

Letf: R → R be continuous and let F be an antiderivative off. If lo F(x) dx = 0 for some k > 1, 1 then $ xf (kx) dx is:
∫xf(kx)dx = (1/k)[F(k) - F(1)] = (1/k)(0) = 0. Hence, the answer is option c: ∫xf(kx)dx = F(k)/k.

Given a continuous function f: R → R and its antiderivative F, if you want to evaluate the integral of xf(kx) dx, you can use substitution:
Let u = kx. Then, du = k dx, and dx = du/k. Also, when x = 1, u = k.
Now, substitute the variables in the integral:
∫ xf(kx) dx = (1/k) ∫ u * f(u) du (from x = 1 to u = k)
Using the properties of integrals, you can find the result as follows:
(1/k) [F(u)](from 1 to k) = (1/k) [F(k) - F(1)]
Therefore, the integral of xf(kx) dx is (F(k) - F(1))/k.

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To find the number of bicycles that must be manufactured to minimize the cost, we need to determine the value of x that corresponds to the minimum point of the cost function C(x).

We can find this by taking the derivative of C(x) with respect to x and setting it equal to zero. Let's differentiate C(x):

C'(x) = 6x - 1500

Now we set C'(x) = 0 and solve for x:

6x - 1500 = 0

6x = 1500

x = 250

Therefore, the number of bicycles that must be manufactured to minimize the cost is 250 bicycles.

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Answer:

11/3

Step-by-step explanation:

3x+4=15

3x=11

x=11/3

If we want to provide a 99% confidence interval for the mean of a population, the confidence coefficient will be 0.99. This means that there is a 99% probability that the true population mean falls within the calculated interval.

The confidence coefficient for a confidence interval represents the level of confidence we have in our estimate.

In the case of a 99% confidence interval, the confidence coefficient is 0.99. This means that we are 99% confident that the true population mean falls within the calculated interval. The confidence coefficient is derived from the desired level of confidence, which is typically expressed as a percentage.

A higher confidence level corresponds to a larger confidence coefficient. In practical terms, a 99% confidence interval indicates that if we were to repeat the sampling process multiple times and construct 99% confidence intervals, approximately 99% of those intervals would contain the true population mean.

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To find the slope of a line that includes the points (5,-2) and 6,0).​

Using the formula;

where m is the slope

x₁ = 5 y₁= -2 x₂ = 6 y₂=0

substituting the values into the formula;

m = 2/1

m=2

Hence; the slope is 2