what is the approximate area of the shaded sector in the circle below?​

Answer:

43.4

Step-by-step explanation:

The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

The function f(x) = |x - 2| is continuous but not differentiable at x = 2.

The function f(x) = |x - 2| represents the absolute value of the difference between x and 2. When x is less than 2, the function simplifies to f(x) = 2 - x, and when x is greater than or equal to 2, it simplifies to f(x) = x - 2.

To determine whether x = 2 is a vertical asymptote, we need to check the behavior of the function as x approaches 2 from both sides. As x approaches 2 from the left (x < 2), the function approaches 0. Similarly, as x approaches 2 from the right (x > 2), the function also approaches 0. Therefore, x = 2 is not a vertical asymptote of the graph of f.

The function f(x) = |x - 2| is continuous at x = 2 because the left-hand limit and the right-hand limit of the function exist and are equal at x = 2. However, it is not differentiable at x = 2. Since the function has a sharp "corner" or "point" at x = 2, the derivative of the function does not exist at that point. Differentiability requires the existence of a unique tangent line at a given point, but at x = 2, there is no such tangent line due to the abrupt change in the slope of the graph.

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The probability that you and your friend both have the same two numbers is approximately 0.4823, or about 48.23%.

If you and your friend each roll two dice, there are two possible cases:

You both roll doubles (i.e., both dice show the same number).

You both roll non-doubles (i.e., the two dice show different numbers).

Let's calculate the probability of each case separately:

The probability of rolling doubles on one die is 1/6, since there are six possible outcomes (1, 2, 3, 4, 5, or 6) and only one of them will result in doubles. The probability of rolling doubles on both dice is the product of the probabilities of rolling doubles on each die, which is (1/6) * (1/6) = 1/36. Therefore, the probability that you and your friend both roll doubles is (1/36) * (1/36) = 1/1296.

The probability of rolling non-doubles on one die is 5/6, since there are five possible outcomes (2, 3, 4, 5, or 6) that will result in non-doubles, out of a total of six possible outcomes. The probability of rolling non-doubles on both dice is the product of the probabilities of rolling non-doubles on each die, which is (5/6) * (5/6) = 25/36. Therefore, the probability that you and your friend both roll non-doubles is (25/36) * (25/36) = 625/1296.

Therefore, the overall probability that you and your friend both have the same two numbers is the sum of the probabilities of the two cases:

1/1296 + 625/1296

= 626/1296

= 0.4823 (rounded to four decimal places)

So, the probability that you and your friend both have the same two numbers is approximately 0.4823, or about 48.23%.

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The expressions that are equivalent to 2(4f + 2g)², (4, f, plus, 2, g) are:(a) 8f² + 8g² + 16fg (8, f, squared, plus, 8, g, squared, plus, 16, f, g) (b) 2f(4f + 2g) · 2f(4f + 2g) (2, f, times, the quantity, 4, f, plus, 2, g,

end the quantity, times, 2, f, times, the quantity, 4, f,

plus, 2, g) (d) 4(2f + 2g)² (4,

times, the quantity, 2, f, plus, 2, g,

end the quantity, squared)In summary,

the three correct expressions equivalent to

2(4f + 2g)², (4, f, plus, 2, g) are:

8f² + 8g² + 16fg, 2f(4f + 2g) ·

2f(4f + 2g), and 4(2f + 2g)².

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Answer:

since a || b

<A = <ABb = 60°

in a triangle the sum of all angles is 180°

so,

30 + 60 + x = 180

x= 180-90

x= 90

Answer:

D. 35

Step-by-step explanation:

The value that is NOT greater than [-4.2] is D. [-4.5]

The values [-4.2], [3.5], and [4.1] are all greater than [-4.5]. To determine which value is the greatest, we can use a number line or compare the numbers directly. On a number line, we can see that [-4.5] is located to the left of [-4.2], [3.5], and [4.1]. This means that [-4.2], [3.5], and [4.1] are all greater than [-4.5].

Alternatively, we can compare the values directly. We know that -4.5 is less than -4.2 since -4.5 is farther to the left on the number line. We also know that 3.5 and 4.1 are positive values, which are greater than any negative value. Therefore, the answer is [-4.5] is not greater than [-4.2]. Hence, option D is correct.

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The walking speed x = (L/t) - (3/65) L + (2/50) L .We can solve this problem using the concept of average speed and the time and distance relationship.

Let's assume the length of the moving sidewalk be L and the speed of the moving sidewalk be v.

When the moving sidewalk is working, the person's speed is v + w, where w is the walking speed.

And, the time taken to travel the distance L is 65s.

So, using the average speed formula, we have:

(v + w) = L/65

And, when the moving sidewalk is not working, the person's speed is w.

And, the time taken to travel the distance L is 50s.

So, using the average speed formula, we have:

w = L/50

Now, we can equate the above two equations to find the walking speed w.

v + w = L/65

w = L/50

Subtracting the second equation from the first equation, we get:

v = (L/65) - (L/50)

Since, L is common in both the numerators, we can simplify the above expression as:

v = (3/65 - 2/50) L

Thus, the speed of the moving sidewalk is (3/65 - 2/50) L.

Let's assume the walking speed be x.

So, the average speed of the person is (v + x) = (3/65 - 2/50) L + x.

And, the time taken to travel the distance L is t.

Using the average speed formula, we have:

(v + x) = L/t

Substituting the value of v, we get:

((3/65 - 2/50) L + x) = L/t

Simplifying the above equation, we get:

x = (L/t) - (3/65 - 2/50) L

Now, substituting the values of L/50 and L/65, we get:

x = (L/t) - (3/65 - 2/50) L

x = (L/t) - (3/65) L + (2/50) L

So, the walking speed x = (L/t) - (3/65) L + (2/50) L.

Therefore, the walking speed can be calculated using the above expression.

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The complete question is :

When the moving sidewalk at the airport is broken, as it often seems to be, it takes you 50 s to walk from your gate to baggage claim. When it is working and you stand on the moving sidewalk the entire way, without walking, it takes 65 s to travel the same distance.

How long will it take you to travel from the gate to baggage claim if you walk while riding on the moving sidewalk?

Express your answer using two significant figures.

Answer: 7.7 m

Step-by-step explanation:

Given that Neil's footstep is 56 cm long and his dad's is 70 cm long.

If their footsteps overlapped 11 times, this shows that the longer footstep will surely be 11 different steps since the difference between the two footsteps is not upto the half of the smaller one.

The distance between the two trees will be 70 cm × 11 = 770 cm

Convert centimeters to meter by dividing it by 100

770/100 = 7.7 meter.

Therefore, the distance between the two trees in metre is 7.7 m

The average time it takes to rent a video tape is 0.141 minutes.

Given data:Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).
Each server can handle 8.15 customers per minute(Poisson). If there are 3 servers, we need to determine the average time it takes to rent a video tape.
Let us assume λ = 12 and μ = 3 × 8.15 = 24.45
Average time it takes to rent a video tape = 1 / (μ - λ/n)
Where, n = number of servers⇒ Average time it takes to rent a video tape = 1 / (24.45 - 12/3)⇒ Average time it takes to rent a video tape = 1 / 8.45⇒ Average time it takes to rent a video tape = 0.1185 minutes = 0.141 rounded to three decimal places.

Thus, the average time it takes to rent a video tape is 0.141 minutes.

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ANSWER

N = 11

EXPLANATION

Given:

3N + 5 = 38

Desired Outcome:

Value of N

Solve for N

Hence, the value of N is 11.

Jordan's average rate over the last 2 hours of her trip is 9 miles/hour.

To find Jordan's average rate over the last 2 hours of her trip,

we need to calculate the distance she traveled during that time period.

We know that Jordan was initially 20 miles away from her house and after 4 hours, she was 38 miles away. Therefore, she traveled a distance of 38 miles - 20 miles = 18 miles in the first 4 hours.

To find her average rate over the last 2 hours, we divide the distance traveled in those 2 hours by the time taken. The distance traveled in the last 2 hours is 18 miles (since she traveled 18 miles in the first 4 hours), and the time taken is 2 hours.

Average rate = Distance / Time

Average rate = 18 miles / 2 hours

Average rate = 9 miles per hour

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In order to find how many times greater is the value of 3 in 2,341 than the value of 3 in 1,234 first we would need to find the value of 3 in 2,341 and the value of 3 in 1,234.

The value of 3 in 2,341 is 300

The value of 3 in 1234 is 30.

Therefore, to calculate how many times greater is the value of 3 in 2,341 than the value of 3 in 1,234 we would use the following formula:

ratio many times greater=The value of 3 in 2,341/The value of 3 in 1234

ratio many times greater=300/30

ratio many times greater=10

The value of 3 in 2,341 is 10 times greater than the value of 3 in 1,234

Note: 1.8 = 9/5

===========================================================

Explanation:

This problem may be strangely worded, so I'll try to phrase it differently. That part will come in a later section below (specifically section 3).

For now, let's just find the probability of finding two white marbles if we replace the first marble chosen. We consider this a "replacement" situation.

We have 5 blue, 3 red and 2 white marbles. That means 5+3+2 = 10 total. The probability of picking white is 2/10 = 1/5. Since the first marble is replaced, the probability of picking white the second time is still 1/5.

The probability of picking two white marbles is (1/5)*(1/5) = 1/25 = 0.04 = 4%

---------------------------------

Now let's consider a "no replacement" situation. We won't put the marble back, or we won't replace it with an identical copy. After the first marble is picked, we have 10-1 = 9 marbles left and 2-1 = 1 white marble left.

The probability of getting white on the second selection, after no replacement is made, is 1/9 instead of 2/10 = 1/5

The probability of getting two white marbles in this scenario is (2/10)*(1/9) = (2*1)/(10*9) = 2/90 = 1/45 = 0.0222 = 2.22% approximately

We can see that there is a difference in probabilities between "replacement" and "no replacement" when we pick two white marbles like this.

---------------------------------

The fractional answer to the first section was 1/25. Let A = 1/25

The fractional answer to the second section was 1/45. Let B = 1/45

A and B are the probabilities for "replacement" vs "no replacement" in that order.

Your teacher wants to know how many times greater the value of A is compared to B.

In symbols, your teacher wants to know the value of k in the equation A = Bk

So...

A = Bk

1/25 = (1/45)k

1/25 = k/45

1*45 = 25*k

45 = 25k

25k = 45

k = 45/25

k = (9*5)/(5*5)

k = 9/5

k = 1.8

Either the fractional or decimal version of k would work as the answer. It might sound better if you go with the decimal version, though again, both values are equivalent.

The value of A is 1.8 times greater compared to the value of B.

Answer:

-1104

Step-by-step explanation:

(−23)(48)

= (−1104)

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The position vector from (3, − 8,0) to ( − 9, − 7, − 6) is  (-12, 1, -6).

To find the position vector, we need to add this vector to the initial point (3, -8, 0). This gives us:
(3, -8, 0) + (-12, 1, -6) = (-9, -7, -6)
In mathematics, position vector refers to a vector that describes the position of a point relative to an origin point. In this question, we are asked to find the position vector that is equal to the vector from (3, -8, 0) to (-9, -7, -6).

To find the position vector, we need to add the vector from the initial point to the final point to the initial point itself. This gives us the endpoint of the vector, relative to the origin. The position vector is important in many applications, such as physics, engineering, and computer graphics, where it is used to describe the position of an object or point in space.

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The statement "every vector field f(x, y) is a gradient vector field" is false. Not every vector field can be expressed as the gradient of a scalar function.

A vector field is a function that assigns a vector to each point in space. A gradient vector field, on the other hand, is a special type of vector field that can be expressed as the gradient of a scalar function, also known as a potential function.

In order for a vector field to be a gradient vector field, it must satisfy a condition called the conservative property. This means that the line integral of the vector field along any closed curve is zero. In other words, the path taken to get from one point to another does not affect the integral.

However, not all vector fields satisfy this property. For example, consider a vector field with nonzero curl. The curl measures the rotational behavior of a vector field, and if it is nonzero, the vector field cannot be expressed as the gradient of a scalar function. Examples of such vector fields include the magnetic field generated by a current-carrying wire and fluid flow with vorticity.

Therefore, the statement that every vector field is a gradient vector field is false, as there exist vector fields that do not possess the conservative property and cannot be expressed as the gradient of a scalar function.

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The statement is false. Not every vector field is a gradient vector field.

A gradient vector field is a vector field that can be expressed as the gradient of a scalar function, also known as a potential function. In other words, if a vector field F(x, y) can be written as F(x, y) = ∇f(x, y), where ∇ represents the gradient operator and f(x, y) is a scalar function, then F(x, y) is a gradient vector field.

However, not every vector field can be expressed in this way. There are vector fields that do not have a scalar potential function associated with them. These vector fields are called non-conservative or non-potential vector fields. Non-conservative vector fields have circulation or path-dependent behavior that cannot be captured by a scalar potential function.

Therefore, the statement "every vector field f(x, y) is a gradient vector field" is false. While some vector fields can be expressed as the gradient of a scalar function, not all vector fields have this property.

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Answer:

1

Step-by-step explanation:

The opposite of a number is the number on the other side of 0 number line, and the same distance from 0.

Answer:

C. 14%

Step-by-step explanation:

We know that Dallas's wage increased from $9 to $10.25.

Let's say the percent increase is x. Then we write the expression:

9 + x * 9 = 10.25

Divide by 9 from both sides:

1 + x = 10.25 / 9 ≈ 1.14

Subtract 1 from both sides:

x = 1.14 - 1 = 0.14

Since x is a percent, that means x = k/100, where k is an integer. So we have:

x = k/100 = 0.14

Multiply both sides by 100:

k = 0.14 * 100 = 14%

The answer is thus C.

~ an aesthetics lover

Answer:

Step-by-step explanation:

\(Original\:price = \$9\\New\:price =\$10.25\\\\Increase = 10.25-9\\Increase = 1.25\\\\Increase \: \% = \frac{Increase}{Original \:price} \:\times 100\\\\= \frac{1.25}{9} \times 100\\\\= \frac{125}{9}\\ \\= 13.888\\= 14\%\)

For the lengths of the triangle, what is true and false is;

1.  YES  2. NO  3. YES  4. YES  5. NO  6. NO  7. NO  8. YES  9. YES

10. YES (if x, y > 0 and the sum of any two sides is greater than the third side)

To determine if a set of three side lengths can form a triangle, they have to fulfil the Triangle Inequality Theorem.

The theorem says that the sum of the lengths of any two sides must be greater than the length of the remaining side.

a. 12, 11, 10

11+10 > 12, 12+10 > 11, and 12+11 > 10

b. 3, 7, 10

3+7 > 10, but 3+10 < 7 and 7+10 < 3.

c. 2+3 > 4, 2+4 > 3, and 3+4 > 2.

d. 4, 6, 7

4+6 > 7, 4+7 > 6, and 6+7 > 4

e. 3, 2, 1

3+2 > 1, but 3+1 < 2 and 2+1 < 3

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Answer:

Step-by-step explanation:

Probability of chocolate ice cream in a waffle cone with chocolate chips:

The translation is as shown in the figure in option B

Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.

The transformation required ahs the rule defined as

Applying the rule arrives the image in option B

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Answer:

100n+50

Step-by-step explanation:

100n is determined by how many cavities are found, dependant

50 is based on the base level cost of the appointment, independent

Answer:

500 g flour = 600 g

6*1.2 g salt = 7.2 g

12*1.2 g yeast = 14.4 g

30 mL oil = 36 mL

360 mL water = 432 mL

Step-by-step explanation:

10 bread rolls requires 500g of flour.

Eli uses 600g of flour which is 1.2 times the amount needed for 10 bread rolls.

This means that 1.2 * 10 bread rolls are made which is 12 bread rolls.

Multiply the remaining ingredients by 1.2:

500 g flour = 600 g

6*1.2 g salt = 7.2 g

12*1.2 g yeast = 14.4 g

30 mL oil = 36 mL

360 mL water = 432 mL

Answer:

x = 14

Step-by-step explanation:

1/2 ( 4x - 6 ) = 21

2x - 3 = 21

2x = 24

x = 14

Step-by-step explanation:

The correct answer is 946

c=946

Answer:

c = 946

Step-by-step explanation:

771 + 175 = 964

946 -771 =175