Vector k = vector b - vector c use the results from questions 2 and 3 what angle does the vector k make with the positive x-axis?

Answer:

30

Step-by-step explanation:

Answer: 30

Hopes this helps

Answer:

10

Step-by-step explanation:

You add all the numbers and then divide by the amount of numbers (in this case, 8)

Answer:

Step-by-step explanation:

Mean is average

Add all numbers up

Then divide by the amount of numbers (8)

thats the mean

We can use a priority queue to keep track of the k most frequent strings. The priority queue should be sorted by the frequency of the strings, and in case of ties, we should sort by lexicographical order.

Here's the step-by-step algorithm to solve the problem:

1. Create a hash map to count the frequency of each string in the array.
2. Create a priority queue and define a custom comparator function that compares strings based on their frequency and lexicographical order.
3. Iterate over the keys of the hash map and add each string to the priority queue.
4. Pop the top k strings from the priority queue and add them to the result array.
5. Return the result array sorted in descending order of frequency.

Here's the Python code that implements this algorithm:

```
import heapq
from collections import defaultdict

def topKFrequent(words, k):
   freq = defaultdict(int)
   for word in words:
       freq[word] += 1
   
   pq = []
   for word, count in freq.items():
       heapq.heappush(pq, (-count, word))
   
   res = []
   for i in range(k):
       res.append(heapq.heappop(pq)[1])
   
   return sorted(res, key=lambda x: (-freq[x], x))
```

In this code, we use a defaultdict from the collections module to count the frequency of each string. We then use a heap (implemented as a list) to keep track of the k most frequent strings. The -count value is used as the first element of each tuple in the heap, so that we can sort the strings by frequency in descending order. The second element of each tuple is the string itself, which is used to break ties in case of equal frequency. Finally, we sort the result array based on the frequency and lexicographical order using the sorted function and a lambda function.

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The spread of the sampling distribution is equal to the standard deviation divided by the square root of the sample size.

What is sample size?

The sample size is defined as the number of observations used to estimate a given population. The population was used to determine the size of the sample. The process of selecting a subset of individuals from a population to estimate the characteristics of the entire population is known as sampling. For analysis, the number of entities in a subset of a population is chosen.

The spread of the sampling distribution is proportional to the spread of the sample and its size. We calculate the spread of the sampling distribution as the population standard deviation divided by the square root of the sample size.

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Answer:

c) 2 and 5.

Step-by-step explanation:

Statement 2 is the final product of the proof. You need statement 5 to be in 2's place.

Hope this helped.

Answer:

The perimeter value is 39.047 or 39.0

Step-by-step explanation:

I. When perimetaer value = A + B + C + D + E

Find A, B, C, D and E value

A = c sq = a sq + b sq

   = 8 sq + 5 sq

   = 64 + 25

c qr = 89

A = 9.433

B = 8 sq + 6 sq

  = 64 + 36

  = 100

B = 10

C = 6

D = 6 sq + 4 sq

  = 36 + 16

  = 52

D = 7.211

E = 5 sq + 4 sq

  = 25 + 16

  = 41

E = 6.403

So A + B + C + D + E = 9.433 + 10 + 6 + 7.211 + 6.403

= 39.047 or 39.0

Hope that help :)

- since the triangles are congruent, their side lengths and angles should be congruent.

- set them equal to each other.

3x - 5 = x + 6

2x - 5 = 6

2x = 11

x = 5.5

- now plug in.

AC = 3(5.5) - 5

AC = 11.5

so, option C.

Answer:

\(x=54^{o}\)

Step-by-step explanation:

Angles of straight line: 126 and x = 180

\(x+126=180\)

\(x=180-126\)

\(x=54^{o}\)

{CHECK: \(54+126=180\)}

hope this helps.....

The correct range is (80, 112).

The correct option is (D).

Mean is also said to be arithmetic mean. The meaning of mean is to evaluate the average. It is defined as the average of the given numbers.

As per the given data:

We are given the mean of the sample.

The mean of the sample = 96

In each option, a range is given.

We have to find out which is the correct range for the given mean.

For a range (a, b) the mean is given by:

mean = (a + b)/2

By using the above definition and checking all the options:

For (76, 108)

mean = (76 + 108)/2 = 92, Not the correct range

For (82, 114)

mean = (82 + 114)/2 = 98, Not the correct range

For (78, 110)

mean = (78 + 110)/2 = 94, Not the correct range

For (80, 112)

mean = (80 + 112)/2 = 96, The correct range

The correct range is (80, 112).

Hence, the correct range is (80, 112).

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This looks like it would be a cylinder

We have two circles on the top and the bottom. If we were to fold these backwards, we would get the circular bases of a cylinder

In the middle, we have a rectangle. If we folded this in a circular fashion around the circlular bases, we would get the long part of a cylinder

Because of this, the shape in its 3D form would be a cylinder

Answer:

Step-by-step explanation:

2(51 - p)

= 102 - 2p

I am going to show you how easy this is. Once you understand, you will be able to do this forever.

:

Assuming the side of the rectangle are (L) length and (W) width, the perimeter:

2L + 2W = 234

:

"the rectangle is twice as long as it is wide,", the equation for this statement:

L = 2W

:

In the first equation, we can replace L with 2W, then we have

2(2W) + 2W = 234

4W + 2W = 234

6W = 234

Divide both sides by 6

W = 234%2F6

W = 39 meters is the width

:

Remember it said the length is twice the width, therefore:

L = 2(39)

L = 78 meters is the length

:

:

Check this by finding the perimeter with these values

2(78) + 2(39) =

156 + 78 = 234

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Suppose that the demand equation for a certain commodity is given by: p = 45/ln x

Marginal revenue function for the given commodity can be calculated as follows;

We know that;

R = Px

Where;

R = revenue

P = price

X = quantity demanded

Substituting p = 45/ln x;

R = (45/ln x) x

Now, we take the derivative of R with respect to x;

R' = (45/ln x) (1/x) - (45/x(ln x)^2)R'

= 45 [(ln x)^2 - 1] / x(ln x)^2

Therefore, the marginal revenue function for this commodity is; R' = 45 [(ln x)^2 - 1] / x(ln x)^2

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Answer:

Distance ≈ 14.8

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 4, 6) and (x₂, y₂ ) = (3, - 7)

Hope this helps!!!!

Answer:

75 degrees

Step-by-step explanation:

360/60=6 degrees per minute on a clock face

minute hand, from 12 o'clock position is 30 minutes so 30x6=180 degrees

hour hand, from 12 o'clock position is 17.5 minutes so 17.5x6=105 degrees

180-105=75 degrees

Answer:

75 degrees.

Step-by-step explanation:

The angles between 2 consecutive  numbers on the clock are 360 /12 = 30 degrees.

The hour hand is half way between the 3 and 4 so this = 15 degrees,

So the required angle = 2*30 + 15

= 75 degrees.

Answer:

57

Step-by-step explanation:

its 57 man

The preimage's coordinates are R(-3, 6), S(-1, -2), and Q(-7, 1).

Thus, we must follow the rule (-y,x) ——>(x,y).

Applying the law,

R'(6, 3)  -----> R(3, -6)

S'(–2, 1) -----> S(1, 2)

Q'(1,7)  -----> Q (7, -1)

The preimage's coordinates are R(-3, 6), S(-1, -2), and Q(-7, 1).

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Answer:  Hence sum of interior angles of a convex 16-sided polygon would be 180∘×(16−2)=180∘×14=2520∘

Step-by-step explanation:

Answer:

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

To find the sum of the interior angles of a 16-sided polygon, you can use the formula:

In our case, n = 16.

Substitute the value of n into the formula:

The matching choice is D.

The correct option is False. The standard formulas for the derivatives of sine and cosine are true when the angle is in radians. These formulas are derived based on the properties of the trigonometric functions in the context of radians. The derivatives of sine and cosine with respect to an angle measured in radians are as follows:

\(\[\frac{d}{dx}(\sin(x)) = \cos(x)\]\)

\(\[\frac{d}{dx}(\cos(x)) = -\sin(x)\]\)

If the angle is measured in degrees, these formulas would not hold true. To differentiate trigonometric functions when the angle is measured in degrees, conversion factors and additional adjustments would be necessary.

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True. Since the square matrix that represents the DCT coefficient is an orthogonal matrix, its inverse and transpose are the same. This property is a fundamental characteristic of orthogonal matrices and holds true for all orthogonal matrices.

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False While it is true that the square matrix that represents the DCT coefficient is orthogonal, it does not mean that its inverse and transpose are the same.

the inverse of an orthogonal matrix is its transpose. However, the transpose of the matrix does not necessarily mean that it is the same as the inverse of the matrix. In the statement is false because the inverse and transpose of an orthogonal matrix are not always the same.


The Discrete Cosine Transform (DCT) coefficient matrix is an orthogonal matrix. In the case of orthogonal matrices, the inverse matrix is indeed equal to the transpose of the original matrix. This is because the product of an orthogonal matrix and its transpose results in the identity matrix.

Since the square matrix representing the DCT coefficient is an orthogonal matrix, its inverse and transpose are the same.

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The domain is the set of all possible inputs. The range is the set of all possible outputs. For any set, each item is listed once so we'll toss any duplicates that may happen. The order of each set doesn't matter.

Because the input x = 2 leads to more than one output (y = 20 and y = 40 simultaneously), this means we do not have a function. A function is only possible if any given input in the domain leads to exactly one output in the range.

Answer:

x = 51

Step-by-step explanation:

Supplementary angles total 180º

(2x + 4) + (x + 23) = 180

Combine like terms

3x + 27 = 180

Subtract 27 from both sides

3x = 153

Divide both sides by 3

x = 51

Answer:

Hello! x = 51

Step-by-step explanation:

OMG I CAN ANSWER FINALLY!

it is forming a supplementary angle meaning it will add up to 180 degrees

51 × 2 = 102 102 + 4 = 106

51 + 23 = 74

106 + 74 = 180 therefore x = 51 Hope that helps.

Answer:0.375

Step-by-step explanation:

3/4=0.75

0.75/2=0.375

(3/4)/2=0.375

The given series ∑=1[infinity]4 is a divergent series since each term in the series is a constant 4 and does not approach zero as n approaches infinity. The value of k that makes the series converge is DNE, i.e., it does not exist.

To elaborate, a series converges if the sequence of its partial sums approaches a finite limit as the number of terms in the sequence goes to infinity.

In this case, the partial sum of the series after n terms is S_n = 4n. As n approaches infinity, S_n diverges to infinity as well, indicating that the series does not converge.

The value of k that makes the given series converge is DNE, as the series is divergent and does not approach a finite limit as the number of terms increases.

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Answer:

you do this in your own

Step-by-step explanation:

solve this problem

The method of half-range Fourier series is used to approximate a periodic function by representing it as a sum of sine and cosine terms over a specific interval.

The method of half-range Fourier series is a technique used to approximate a periodic function over a specific interval by representing it as a sum of sine and cosine terms.

In this case, we are considering the function f(x) = x on the interval (0, π/2) and 0 on the interval (π/2, π).

To sketch and approximate the function using the half-range Fourier series, we need to follow these steps:

Determine the periodicity of the function: Since the given function has different definitions on two different intervals, we consider the periodicity as π.

Express the function as a piecewise-defined function: We can express the function as f(x) = x on the interval (0, π/2) and f(x) = 0 on the interval (π/2, π).

Find the Fourier coefficients: We calculate the Fourier coefficients using the formulas:

  Since f(x) = 0 on the interval (π/2, π), the bn coefficients will be zero.

Write the half-range Fourier series: Using the calculated coefficients, we can write the half-range Fourier series as:

Plot the approximation: Using the half-range Fourier series, we can plot the approximation of the function over the interval (0, π).

The approximation using the half-range Fourier series will only be valid on the interval (0, π). Outside this interval, the function will not be accurately represented.

It is important to note that the accuracy of the approximation depends on the number of terms included in the series. Including more terms will improve the approximation but may require more computational effort.

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The length of the arc opposite a central angle that measures 46 degrees is 2.72 cm.

What is circle?

The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value.

in a circle of radius 3.4 cm

central angle that measures 46 degrees

length of arc = (46/360) * 2π*3.4

=2.72cm

Hence the length of the arc opposite a central angle that measures 46 degrees is 2.72 cm

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