Recruiters have completely stopped using newspaper ads as a tool for external recruitment because job seekers use the Internet almost exclusively even in smaller cities and towns.
a. True
b. False
Recruiters have completely stopped using newspaper ads as a tool for external recruitment because job seekers use the Internet almost exclusively even in smaller cities and towns. - False
Although the majority of job seekers today utilise the Internet as their main source of job searching, businesses and recruiters still use newspaper ads as a technique for external hiring In order to reach a larger pool of candidates, many businesses still utilise a combination of traditional print marketing, social media, and online job boards.
Newspaper ads still have certain benefits, though, such as reaching a different group of job seekers who might not be as active online. Additionally, newspapers are a more efficient approach to contacting potential candidates in smaller towns and cities where there may not be as much internet job search activity. Therefore, it is still a tool that some businesses and recruiters utilise in their hiring processes, particularly when attempting to connect with a larger and more varied pool of prospects.
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The table shows various values of a linear function f (x).
x –4 0 2 5 9 10
f (x) –11 1 7 16 28 31
What is f –1(10)?
31
28
3
9
The numeric value of the inverse function of f(x) at x = 10 is given as follows:
f –1(10) = 3.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.From the table, the parameters are given as follows:
m = 3, as when x increases by 2, y increaes by 6.b = 1, as when x = 0, y = 1.Hence the function is defined as follows:
y = 3x + 1.
To obtain the inverse function, we exchange the variables x and y and then isolate y, thus:
x = 3y + 1
3x = x - 1
y = (x - 1)/3
Hence the numeric value of the inverse function at x = 10 is given as follows:
y = (10 - 1)/3
y = 3.
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The table compares the average daily temperature and ice cream sales each day.
Temperature (°F) Ice Cream Sales
56.9 $201
62.3 $212
66.2 $218
68.4 $219
73.3 $228
74.6 $230
75.6 $233
75.9 $236
80.4 $245
86.8 $256
What is the slope of the line of best fit, where x represents the average daily temperature and y represents the total ice cream sales? (Round your answer to one decimal place.)
1.8
2.3
3.1
4.3
Answer:
1.8
Step-by-step explanation:
Enter the data provided into any of the regression calculators available free online and it will plot and provide the regression equation
The equation provided by one such calculator is
y = 1.8204x + 96.6608
where y = sales in $ and x = temperature in °F
From the above it can be seen that the slope of the line is 1.8204 which, rounded to 1.8 to one decimal place
Prove that the sum of the squares of the diagonals of a parallelogram is equal to the sum of squares of its sides.
We have proven that the sum of the squares of the diagonals of a parallelogram is equal to the sum of squares of its sides.
Parallelograms are quadrilaterals with opposite sides parallel to each other. They have many interesting properties, one of which is the relationship between the sum of the squares of the diagonals and the sum of squares of their sides. In this explanation, we will prove this relationship mathematically.
Let us consider a parallelogram with diagonals AC and BD, and sides AB, BC, CD, and DA.
To begin, let us draw line segments from the midpoints of each side to the midpoint of the opposite side. This divides the parallelogram into four congruent triangles, as shown below:
We can now use the Pythagorean theorem to find the length of each line segment. Let us denote the midpoint of AB as M, the midpoint of BC as N, and the midpoint of CD as P. Then we have:
AM² = AB²/4 + BM²
BN² = BC²/4 + CN²
CP² = CD²/4 + DP²
DM² = DA²/4 + AM²
Note that the line segments AM, BN, CP, and DM are half the length of the diagonals AC and BD. We can now add all these equations together:
=> AM² + BN² + CP² + DM² = (AB² + BC² + CD² + DA²)/4 + (AC² + BD²)/4
Rearranging this equation gives us:
=> AC² + BD² = 2(AM² + BN² + CP² + DM²) - (AB² + BC² + CD² + DA²)
Now, recall that the four triangles we divided the parallelogram into are congruent. Therefore, AM = BN = CP = DM, and AB = CD, BC = DA. Substituting these equalities into the above equation, we get:
=> AC² + BD² = 4(AM² + BN²) - 4(AB² + BC²)
We can further simplify this expression using the fact that the diagonals of a parallelogram bisect each other. Therefore, AM = CP and BN = DM. Substituting these equalities gives us:
AC² + BD² = 4(AM² + BN²) - 4(AB² + BC²)
= 4(AM² + BN² - AB² - BC²)
= 4(AN² + BM²)
Recall that AN and BM are half the length of the sides of the parallelogram. Therefore, we can write:
=> AC² + BD² = 4(AN² + BM²) = 4(AB² + BC² + CD² + DA²)
This completes the proof. We have shown that the sum of the squares of the diagonals of a parallelogram is equal to the sum of squares of its sides.
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A function f is said to have a removable discontinuity at a if:
1. f is either not defined or not continuous at a.
2. f(a) could either be defined or redefined so that the new function is continuous at a.
Let f(x)=2x²+4x-6/x-1
Show that f has a removable discontinuity at 1 and determine the value for f(1) that would make f continuous at 1.Need to redefine f(1)=
The discontinuity of the function is removed and the value of the function at 1 after removing the discontinuity is 8.
What is meant by a discontinuity in a function?
In algebra, a discontinuous function is one that has a point at which the function is not defined, at which the left-hand limit and right-hand limit are equal but not equal to the value of the function at that point, or at which the limit of the function does not exist. If a function in algebra is not continuous, it is referred to as a discontinuous function. A discontinuous function has a discontinuous curve, just like a continuous function does.
Given f(x) = 2x²+4x-6 / (x-1)
This function has a discontinuity at 1 because when we substitute x =1, the denominator becomes 0 and the function becomes undefined.
But this discontinuity is removable and can be done as shown:
We can factorize the numerator as below:
2x²+4x-6 = 2x²+6x - 2x -6 = 2x(x+3) -2(x+3) = (2x - 2)(x+3) = 2(x-1)(x+3)
Now when we substitute the factorized form of the numerator in the function. Then,
f(x) = 2(x-1)(x+3) / (x-1)
(x-1) can be cancelled from both the numerator and denominator. So the discontinuity is removed.
f(x) = 2(x+3)
Now f(1) = 2 * (1+3) = 8
Now the function is continuous at 1.
Therefore the value of the function at 1 after removing the discontinuity is 8.
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The density of this a box of tissues is 1 g/cm3. The mass of the object is 728 grams.
The length is 20.8cm, the width is 7cm, what is the height?
The formula for the volume of a rectangular box is V = l × w × h, where l is the length, w is the width, and h is the height. Since the density is given as 1 g/cm³, the mass of the object is equal to its volume in cubic centimeters (cc):
mass = volume × density
728 g = V × 1 g/cm³
V = 728 cm³
We are given the length and width of the box, so we can substitute these values into the formula for volume:
V = l × w × h
728 cm³ = 20.8 cm × 7 cm × h
Simplifying the right-hand side:
728 cm³ = 145.6 cm² × h
Dividing both sides by 145.6 cm²:
h = 728 cm³ ÷ 145.6 cm²
h = 5 cm
Therefore, the height of the box is 5 cm.
Candidate A makes 48 speeches. Candidate B makes 16 speeches. a. Write the ratio of speeches by candidate A to candidate B b. Simplify the ratio so the second quantity is 1. Show your work.
Answer:
a. 48:16
b. 3:1
Step-by-step explanation:
Part a asks for a ratio of the two speeches. You simply separate the two numbers with a colon to show that it's a ratio.
Part b asks that the second quantity (which is the speeches made by B) be 1. To do this, divide 16 on both sides. 48 divided by 16 is 3, and 16 divided by 16 is 1. Thus, 3:1
PLEASE HELP!!!
Which angles are supplementary to each other?
A) ∠5 and ∠3
B) ∠5 and ∠11
C) ∠4 and ∠2
D) ∠11 and ∠10
PLEASE LOOK AT PICTURE!!!
Answer:
Angles 11 and 10 both make a 180-degree angle, but so do 5 and 3. I would go with 11 and 10
Answer:
D, <11 and <10
Step-by-step explanation:
Supplementary angles are angles that sum to 180°
Prove that if x is a non-empty set of real numbers which is bounded above, then there is a sequence of real numbers in x converging to sup(x).
For all sufficiently large n, which shows that (xn) converges to sup(x) as desired. Therefore, if x is a non-empty set of real numbers that is bounded above, then there is a sequence of real numbers in x converging to sup(x).
Let x be a non-empty set of real numbers that is bounded above. Then, by the least upper bound property of the real numbers, sup(x) exists and is a real number.
For each positive integer n,
let xn be an element of x such that sup(x) - 1/n < xn ≤ sup(x).
Such an element xn exists because sup(x) is the least upper bound of x, so there must be elements of x arbitrarily close to sup(x).
We claim that the sequence (xn) converges to sup(x).
To see this, let ε > 0 be arbitrary.
Since xn ≤ sup(x) for all n,
we have sup(x) - xn ≥ 0, and so sup(x) - xn < ε for all n such that 1/ε is an integer. Thus, we have
|sup(x) - xn| < ε
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Write an inequality that represents the statement “x is at most –5 or at least 7.”
Answer:
x ≤ - 5 or x ≥ 7
or, in interval notation
[ - ∞, -5] ∪ [7, ∞]
Step-by-step explanation:
From the question we get the following two inequalities
x is at most -5 ==> x ≤ -5
x is at least 7 ==> x ≥ 7 which can be rewritten as 7 ≤ x
This can be written as
x ≤ - 5 or x ≥ 7
In interval notation this would be
[ - ∞, -5] ∪ [7, ∞]
On the number line this would be represented as shown in the figure
‼️please help‼️
Find Freedas weekly take-home pay (net pay)
Freeda's weekly take home pay based on the 48 hours a week Freeda works with an hourly rate of $13.75 and an over time rate of a time and a half, obtained by finding the difference between the sum of earnings and the sum of deduction is $813.75
What is a salary rate?A salary rate is the amount received regular for a specified period.
The number of hours worked a week = 48 hours
Number of hours considered overtime = Time over 40 hours
Amount earned for normal working hours = $13.75 per hour
Amount she earns as bonus per week = $125
The deductions per week are;
FICA
Federal income tax = $5.50
State income tax = $2.75
401K = $10.00
Insurance = $8.00
Weekly take home (net) pay = Total weekly earnings - Total weekly deductions
Number of overtime hours Freeda works each week = 48 - 40 = 8
Freeda works 8 hours overtime each week
Her weekly earnings = 40 × 13.75 + 8 × 1.5 × 13.75 + 125 = 840
Freeda's weekly earning = $840
Weekly deductions = 5.5 + 2.75 + 10.00 + 8 = 26.25
Weekly take home (net) pay = $840 - $26.25 = $813.75
Freeda's weekly take home pay is $813.75
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Read the following excerpt from the Declaration of Independence, and read the question that follows."—Such has been the patient sufferance of these Colonies; and such isnow the necessity which constrains them to alter their former Systems of Government. The history of the present King of Great Britain is a history of repeated injuries and usurpations, all having in direct object the establishment of an absolute Tyranny over these States. Based on the Declaration of Independence, how would the patriots describe King George 111?
A. Out of touch with the colonies
B. Terrifying
C. As a tyrant
D. As an ally
Answer:
c
Step-by-step explanation:
The colonists thought of King George III as a tyrant, which is evident when looking at the founding documents of the United States and the political parties. The Constitution created separation of powers so nobody would be able to become a tyrant or dictator. There are checks and balances to keep people from gaining too much power and overtaking the government. When looking into the political parties later on, there were the Anti-federalists, who did not want a strong central government because they did not want another King George, who they just got out of a war with.
HELP ASAP………………………..
The required Levi has 28 ounces of pretzels in total.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
To solve this problem, you can use the expression:
total ounces of pretzels = number of bags × ounces of pretzels per bag
Substituting the given values, we get:
total ounces of pretzels = 6 bags × 14/3 ounces per bag
total ounces of pretzels = 28 ounces
Therefore, Levi has 28 ounces of pretzels in total.
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Given the following list of values, is the mean or the median likely to be a better measure of the center of the data set? 25, 29, 23, 26, 25, 27. 10. 26. 23. 23. 26 Select the correct answer below: O Mean O Median
If we consider between mean and median in case of better measure of the center, median is likely to be the better measurement.
The list of values given here is 25, 29, 23, 26, 25, 27, 10, 26, 23, 23, 26.
First we are making or rearranging it in ascending/ descending order.
10, 23, 23, 23, 25, 25, 26, 26, 26, 27, 29.
Mean will be the average of the given set.
Median will be the exact middle number or the average of the two middle entries.
Mean = 23.9
Median = 25
If we consider the range of data and how it is distributed, you can see it ranges from 10 to 29.
But the problem is that, after 10, the second least value is 23 and rest of the values are nearer also.
There is a clear gap between the values of other data points and the first data entry 10.
As mean is the average of every data, this 10 can directly influence the value of mean and cannot gave us an approximation of center.
Imagine that if the last entry is somewhat very big number, then the mean will surely slant to the higher number as it is the sum average of the given set of data.
But median is then also the exact middle number and not influenced by the range of the given data.
Mean and median can be the same in certain cases but when we approximate the measurement of center more than mean, median will likely to give better answer.
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Andy's two nephews want to travel to Philadelphia with him to see a show. Andy has two free plane tickets and three tickets to the show. Which of the following best describes the two plane tickets?
A scarce resource
The amount of two plane tickets are a scarce resource, meaning there are not enough to provide for all three people.
A scarce resource is something that is in limited supply. In this case, the two plane tickets are the scarce resource because there are not enough to provide for all three people. This means that if Andy wants to travel to Philadelphia with his two nephews, only two of them can go. This is because while they may have three tickets to the show, they still need to find a way to get there. The two plane tickets are a scarce resource, as they are not enough for all three of them. This means that Andy must make a difficult decision about who can go and who has to stay home. The two plane tickets are the only way for two of them to get to Philadelphia, so they are a scarce resource in this situation.
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Simplify fully 48 seconds 1 minute
Answer:
1.48
1 minute and 48 seconds
A fitness club with 100 members offers one free training session per member in either running, swimming, or weightlifting. Thirty of the fitness center members sign up for the free session. The running and swimming sessions are each twice as popular as the weightlifting session. What is the probability that a randomly chosen fitness club member signs up for a free running session?
The probability that a randomly chosen fitness club member signs up for a free running session is 20%.
What is Probability?Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.
This is because 30 members signed up for a free session, with 10 signing up for the running session, 10 signing up for the swimming session, and 10 signing up for the weightlifting session. Since the running and swimming sessions are each twice as popular as the weightlifting session, there is a 20% chance that any given member will choose the running session.
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Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 55 grams were from whole grains.
Answer: 25%
Step-by-step explanation:
The answer is 25%. This is calculated by dividing the number of grams of carbohydrates from whole grains (55 grams) by the total number of carbohydrates eaten (220 grams). This gives 0.25, which can be expressed as 25%. Therefore, Osvoldo consumed 25% of his carbohydrates from whole grains today.
Answer:
Osvoldo only got 25% of his grams of carbohydrates from whole grains today, which is below his goal of 30%
Step-by-step explanation:
To find the percentage of Osvoldo's carbohydrates that came from whole grains, we can use the formula:
percentage = (part/whole) x 100%
where "part" is the number of grams from whole grains, and "whole" is the total number of grams of carbohydrates. So we have:
percentage = (55/220) x 100%
percentage = 0.25 x 100%
percentage = 25%
Therefore, Osvoldo only got 25% of his grams of carbohydrates from whole grains today, which is below his goal of 30%.
There are 2 green marbles, 7 blue marbles, 3 white marbles, and 4 purple marbles in a bag. Once a marble is drawn, it is NOT replaced. Find the probability of white then purple P(white, purple). Write your answer as a simplified fraction.
P(a purple marble then a white marble) is 6/105 ⇒ 1st answer
Step-by-step explanation:* Lets explain how to solve the problem
- There are 2 green marbles
- There are 7 blue marbles
- There are 3 white marbles
- There are 4 purple marbles
- Once a marble is drawn, it is NOT replaced
- We need to find P(a purple marble then a white marble)
* At first lets find the total number of marbles by adding all color
∵ There are 2 green , 4 purple , 3 white and 7 blue
∴ The total number of marbles = 2 + 4 + 3 + 7 = 16
∴ There are 16 marbles in the bag
∵ Probability = number of events/number of all outcomes
∵ There are 4 purple marbles
∴ The probability of chosen a purple marble is P(purple) = 4/15
∵ Once a marble is drawn, it is NOT replaced
∴ The total number of marbles = 15 - 1 = 14 marbles
∵ The number of white marbles is 3
∴ The probability of chosen a white marble is P(white) = 3/14
∵ P(a purple marble then a white marble) = P(purple) . P(white)
∵ P(purple) = 4/15
∵ P(white) = 3/14
∴ P(a purple marble then a white marble) = (4/15)(3/14) = 6/105
* P(a purple marble then a white marble) is 6/105
A coin is flipped at the start of every game to determine if Team A (heads) or Team B (tails) will get the ball first.
Part A: Find the theoretical probability of a fair coin landing on heads. (2 points)
Part B: Flip a coin 25 times and record the frequency of each outcome. (4 points)
Part C: Determine the experimental probability of landing on heads. (4 points)
Part D: Compare the theoretical and experimental probabilities. Explain your answer. (2 points)
Part A: The theoretical probability of a fair coin landing on heads is 1/2.
Part B: The frequency of getting Heads is 12 and the frequency of getting tails is 13.
Part C: The experimental probability of landing on heads is 0.48
Part D: The theoretical probability is higher than the experimental probability.
What is probability?
Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.
A coin has two faces. One is head and other is tails.
If flip a coin, the outcome is {H,T}
The number of total outcomes is 2.
The number of frequency-getting heads is 1.
The number of frequency-getting tails is 1.
The theoretical probability of a fair coin landing on heads is 1/2.
Now flip a coin 25 times
The outcomes are
H,T,T,T, H,H,H, T,T,T, T,H,T, H,T,H,T,T, T, H, T, H,H,H,H
The frequency of getting Heads is 12 and the frequency of getting tails is 13.
The experimental probability of landing on heads is 12/25 = 0.48.
The theoretical probability is not the same as the experimental probability.
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Answer:
Part A: The theoretical probability of a fair coin landing on heads is 1/2.
Part B: The frequency of getting Heads is 12 and the frequency of getting tails is 13.
Part C: The experimental probability of landing on heads is 0.48
Part D: The theoretical probability is higher than the experimental probability.
Step-by-step explanation:
The population of a large US city is 1,703,210. Show how you could express this in Scientific Notation.
The population of a large US city is 1.70321 × 10⁶ in Scientific Notation.
What is Scientific Notation?Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form.
Given that, the population of a large US city is 1,703,210. we need to show this number in Scientific Notation.
We know that, a number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
The number is written in two parts:
The digits, with the decimal point placed after the first digit, followed by × 10 to a power that puts the decimal point where it should be
Therefore,
1,703,210 = 1.70321 × 10⁶
Hence, the population of a large US city is 1.70321 × 10⁶ in Scientific Notation.
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Compute the magnitude and phase spectra of the following signals (i.e. compute the Fourier coefficients and determine the magnitude and phase of each one of them). a. a[n] = 4 sin(in/3) b. x[n] = cos(2n7/3) + sin(2n7/5) c. x[n] = cos(2n7/3) sin(2n/5) (a trig. identity that might be useful: cos(x) sin(y) = 1/2 (sin(x + y) – sin(x – y))
The magnitude spectrum of Fourier coefficients a[n] = 4 sin(nπ/3) is: |C[k]| = 0 so the phase spectrum is undefined. Fourier coefficients of x[n] = cos(2nπ/3) + sin(2nπ/5) for all other values of k, C[k] = 0, so the magnitude and phase spectra are zero. The Fourier coefficient for cos(x) sin(y) = 1/2 (sin(x + y) – sin(x – y)) C[k] is zero when k is not equal to ±2/3 and ±2/5.
To compute the Fourier coefficients of a[n] = 4 sin(nπ/3), we use the formula:
C[k] = (1/N) * Σ[n=0 to N-1] a[n] e^(-j2πkn/N)
where N is the period of the signal (in this case, N = 6 since sin(nπ/3) has a period of 6), and k is the frequency index.
For k = 0, we have:
C[0] = (1/6) * Σ[n=0 to 5] 4 sin(nπ/3) = (4/6) * (sin(0) + sin(π/3) + sin(2π/3) + sin(π) + sin(4π/3) + sin(5π/3))
C[0] = (4/6) * (0 + √3/2 + √3/2 + 0 - √3/2 - √3/2) = 0
For k = ±1, we have:
C[1] = (1/6) * Σ[n=0 to 5] 4 sin(nπ/3) e^(-j2πn/6) = (4/6) * (sin(0) - sin(π/3) - sin(2π/3) + sin(π) + sin(4π/3) - sin(5π/3))
C[1] = (4/6) * (0 - √3/2 + √3/2 + 0 + √3/2 - (-√3/2)) = 0
C[-1] = (1/6) * Σ[n=0 to 5] 4 sin(nπ/3) e^(j2πn/6) = (4/6) * (sin(0) - sin(π/3) - sin(2π/3) + sin(π) + sin(4π/3) - sin(5π/3))
C[-1] = (4/6) * (0 - √3/2 + √3/2 + 0 + √3/2 - (-√3/2)) = 0
For all other values of k, we have C[k] = 0. Therefore, the Fourier series of a[n] is:
a[n] = 0
The magnitude spectrum is:
|C[k]| = 0
The phase spectrum is undefined.
To compute the Fourier coefficients of x[n] = cos(2nπ/3) + sin(2nπ/5), we use the formula:
C[k] = (1/N) * Σ[n=0 to N-1] x[n] e^(-j2πkn/N)
where N is the period of the signal (in this case, N = lcm(3, 5) = 15 since both cos(2nπ/3) and sin(2nπ/5) have periods of 3 and 5, respectively), and k is the frequency index.
For k = 0, we have:
C[0] = (1/15) * Σ[n=0 to 14] (cos(2nπ/3) + sin(2nπ/5)) = (1/15) * (5 + 0 - 5 + 0 + 5 + 0 - 5 + 0 + 5 + 0 - 5 + 0 + 5 + 0 - 5 + 0 + 5) = 5/3
To compute C[k] for k ≠ 0 and k ≠ 5, we can use the trigonometric identity:
cos(x) sin(y) = 1/2 (sin(x + y) – sin(x – y))
Let x = 2kπ/3 and y = 2nπ/5, then:
cos(2kπ/3) sin(2nπ/5) = 1/2 (sin(2kπ/3 + 2nπ/5) – sin(2kπ/3 – 2nπ/5))
= 1/2 (sin(10knπ/15 + 6kπ/15) – sin(10knπ/15 - 2kπ/15))
= 1/2 (sin((2k + 3n)π/3) – sin((2k - n)π/3))
The first term is zero when (2k + 3n) is an odd multiple of 3, and the second term is zero when (2k - n) is an odd multiple of 3. Therefore, C[k] = 0 when k + 3n is odd or k - n is odd.
For k = 3n, we have:
C[3n] = (1/15) * Σ[m=0 to 14] (cos(2mπ/3) sin(2nπ/5))
= (1/30) * Σ[m=0 to 14] (sin((2m + 3n)π/3) – sin((2m - n)π/3))
= (1/30) * (sin(5nπ/3) – sin(nπ/3) + sin(7nπ/3) – sin(5nπ/3) + sin(9nπ/3) – sin(7nπ/3) + sin(11nπ/3) – sin(9nπ/3) + sin(13nπ/3) – sin(11nπ/3) + sin(15nπ/3) – sin(13nπ/3) + sin(17nπ/3) – sin(15nπ/3) + sin(19nπ/3) – sin(17nπ/3))
= (1/30) * (sin(nπ/3) – sin(19nπ/3)) = 0
Therefore, the only non-zero coefficients are C[0] = 5/3 and C[5] = -5/3. The magnitude and phase spectra are:
|C[0]| = 5/3, arg(C[0]) = 0
|C[5]| = 5/3, arg(C[5]) = π
For all other values of k, C[k] = 0, so the magnitude and phase spectra are zero.
To compute the Fourier coefficients of cos(x) sin(y) = 1/2 (sin(x + y) – sin(x – y))
x[n] = 1/2 (sin(2nπ/3 + π/2) - sin(2nπ/3 - π/2)) * 1/2 (sin(2nπ/5) - sin(-2nπ/5))
Using the formula for the Fourier coefficients of a sinusoidal signal:
C[k] = (1/N) Σ[n=0 to N-1] x[n] e^(-j2πnk/N)
we can compute the Fourier coefficients for x[n]:
C[k] = (1/N) Σ[n=0 to N-1] x[n] e^(-j2πnk/N)
= (1/N) [Σ[n=0 to N-1] 1/2 sin(2nπ/3 + π/2) e^(-j2πnk/N) - Σ[n=0 to N-1] 1/2 sin(2nπ/3 - π/2) e^(-j2πnk/N)] [Σ[n=0 to N-1] 1/2 sin(2nπ/5) e^(-j2πnk/N) - Σ[n=0 to N-1] 1/2 sin(-2nπ/5) e^(-j2πnk/N)]
= 1/4 [C1(k-2/3) - C1(k+2/3)] [C1(k-2/5) - C1(k+2/5)]
where C1(k) is the Fourier coefficient of the signal cos(2nπ/3), which is given by:
C1(k) = (1/N) Σ[n=0 to N-1] cos(2nπ/3) e^(-j2πnk/N)
= (1/N) Σ[n=0 to N-1] 1/2 [e^(-j2πnk/3) + e^(j2πnk/3)]
= 1/2 [δ(k-1/3) + δ(k+1/3)]
Therefore, the Fourier coefficient C[k] is zero when k is not equal to ±2/3 and ±2/5.
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determine the measure of the largest angle in a triangle with sides of 12, 9, and 4
Answer:
130.8
Step-by-step explanation:
Use law of cosine
12^2=9^2+4^2-2*9*4cos
144=97-72cos
47=-72cos
(Use cosine inverse now)
Cos-1(47/-72)
Largest angle is 130.8 when rounded to the nearest then the
What is the frequency range of the UHF broadcast station
The frequency range of UHF is band between 470 MHz and 608 MHz.
What is broadcast station?Radio broadcasting is the transmission of audio (sound), sometimes with related metadata, by radio waves to radio receivers belonging to a public audience. In terrestrial radio broadcasting the radio waves are broadcast by a land-based radio station, while in satellite radio the radio waves are broadcast by a satellite in Earth orbit.Given is to find the frequency range of the UHF broadcast station
The frequency range of UHF band is between 470 MHz and 608 MHz.Therefore, the frequency range of UHF is band between 470 MHz and 608 MHz.
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{Complete question -
What is the frequency range of the UHF broadcast station?}
0. Alicia listens to a podcast for hour. She reads for hour. Then she cleans her room 2 1 5 for hour. Which activity did she spend the most time doing? 6
The solution is, in cleaning she spend the most time doing.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Alicia listens to a podcast for hour.
She reads for hour.
Then she cleans her room 2 1/5 for hour.
we know that,
1 hour = 60 mint.
so, we get,
1) 60 mint
2) 60 mint
3) 11/5 * 60 = 132 mint.
Hence, The solution is, in cleaning she spend the most time doing.
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A families dishwasher uses the same number of gallons of water for each load the table shows how many gallons of water G the dishwasher uses for in loads of dishes what equation can you use to represent the relationship shown in the table show York
An equation which you can use to represent the relationship shown in the table is y = 4.5x.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.Based on the information provided in the table (see attachment), we can logically deduce the following data points on the line:
Points on x-axis = (4, 5).
Points on y-axis = (18.0, 22.5).
At point (4, 18.0), a linear equation of this line in slope-intercept form can be calculated by using the point-slope form as follows:
y - 18.0 = (22.5 - 18.0)/(5 - 4)(x - 4)
y - 18.0 = 4.5(x - 4)
y = 4.5x - 18 + 18.0
y = 4.5x.
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3. Dimitri's car has a fuel efficiency of 21 miles per gallon. His tank is full with 12 gallons of gas. Does he have
enough gas to drive from Cincinnati to Toledo, a distance of 202.4 miles?
Show your calculations, including at least one use of dimensional analysis. You choose how to round.
Yes, Dimitri has enough gas to drive from Cincinnati to Toledo. To calculate this, we can multiply the fuel efficiency by the amount of gas in the tank.
What is multiplication?The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the components that are multiplied are referred to as the factors.
Fuel efficiency: 21 miles per gallon
Gas in the tank: 12 gallons
So, the total distance that Dimitri can drive is:
= 21 miles per gallon x 12 gallons
= 252 miles
Since the distance from Cincinnati to Toledo is 202.4 miles, and the total distance that Dimitri can drive is 252 miles, we can conclude that he has enough gas to make the trip.
Dimensional analysis:
= 21 miles/gallon x 12 gallons
= 252 miles (correct dimensions)
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PLEASE HELP!!!!!!
which equation can be used to solve for x?
A) 135x = 180
B) 9x + 126 = 90
C) 9y = 126
D) 9x + 126 = 180
PLEASE LOOK AT PICTURE!!!!
Answer:
D) 9x + 126 = 180
Step-by-step explanation:
We know
The (9x) angle combined with the 126 degrees angle must make 180 degrees. Looking at all the options, we see that D is the only reasonable answer.
Determine whether the following arguments are best interpreted as being inductive or deductive. Also state the criteria you use in reaching your decision (i.e., the presence of indicator words, the nature of the inferential link between premises and conclusion, or the character or form of argumentation).
Contrary to the common notion that women tend to be chatty compared to men, little difference exists between the sexes in terms of talkativeness. Over a five-year period researchers placed unobtrusive microphones on 396 college students in various fields, at campuses in Mexico as well as in the United States. They found that both men and women spoke about 16,000 words per day.
This argument is best interpreted as inductive. The presence of empirical evidence in the form of research data suggests that the conclusion is based on empirical observations and generalization.
The argument uses evidence to make a generalization about the talkativeness of men and women, which is the characteristic of inductive reasoning. Additionally, the lack of logical or deductive inferential links between premises and conclusion supports the inductive interpretation of the argument.on:
Inductive reasoning is a type of reasoning in which a conclusion is drawn based on observations or evidence, rather than from logical deduction. Inductive reasoning involves making generalizations from specific observations or examples
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Find the height represented by x.
Answer:
find the given numbers on the number line