Joe asked a bank teller to cash a $570 check using $20 bills and $50 bills, If the teller gave him a total of 15 bills, how many of each type of bill did he receiver

(a) The frequency spectrum of the signal {1, 9, 0, 1, 4, 9} can be estimated using the FFT algorithm to analyze its frequency components.

(b) By plotting the magnitude and phase response of the calculated spectrum, we can visualize the amplitudes and phase shifts associated with different frequencies in the signal.

To estimate the frequency spectrum of the given signal using the Fast Fourier Transform (FFT), we can follow these steps:

(a) Estimate the frequency spectrum using the FFT:

The given signal is {1, 9, 0, 1, 4, 9}. We'll apply the FFT algorithm to this signal to estimate its frequency spectrum.

First, we pad the signal with zeros to make it a power of 2. Since the signal has 6 elements, we'll add 2 zeros to make it a total of 8 elements: {1, 9, 0, 1, 4, 9, 0, 0}.

Next, we apply the FFT algorithm to this padded signal. The result will be a complex spectrum containing both magnitude and phase information.

The estimated frequency spectrum using the FFT will provide information about the frequencies present in the signal and their respective magnitudes.

(b) Plot the magnitude and phase response of the calculated spectrum:

After obtaining the complex spectrum from the FFT, we can plot the magnitude and phase response to visualize the frequency components of the signal.

The magnitude response plot will show the amplitude or strength of each frequency component in the signal. It will provide insights into which frequencies have higher or lower magnitudes.

The phase response plot will show the phase shift introduced by each frequency component. It will indicate the time delay or phase difference associated with each frequency.

By plotting the magnitude and phase response of the calculated spectrum, we can gain a comprehensive understanding of the frequency characteristics of the given signal.

Note: To generate the plots accurately, it is recommended to use software or programming libraries that provide FFT functions and visualization capabilities, such as MATLAB, Python's NumPy, or MATLAB/Octave with the fft() and plot() functions. These tools will allow you to perform the FFT calculation and generate the magnitude and phase response plots for the given signal.

Learn more about magnitude here

https://brainly.com/question/30337362

#SPJ11

Answer:

$14.80

Step-by-step explanation:

First you need to subtract .50 from 2.35, which is 1.85.

Next you need to multiply 1.85 times 8.

1.85 x 8 = 14.80

Therefore, she has made $14.80 since the new price.

Answer:

Ok, but you needed to read in the reason section : definition of complementary angles.

Step-by-step explanation:

a. To approximate the given quantity using Taylor polynomials with n=3, we need to use the formula for the Taylor polynomial of degree n:

Pn(x) = f(a) + f'(a)(x-a) + (1/2!)f''(a)(x-a)^2 + (1/3!)f'''(a)(x-a)^3 + ... + (1/n!)f^(n)(a)(x-a)^n
where f(x) = sinh(x), a = 0. The derivatives of sinh(x) are:
f'(x) = cosh(x), f''(x) = sinh(x), f'''(x) = cosh(x), and so on.
Therefore, the Taylor polynomial of degree 3 for sinh(x) centered at a = 0 is:
P3(x) = x + (1/2!)(x)^3
To approximate sinh(0.24), we substitute x = 0.24 into the formula above:
P3(0.24) = 0.24 + (1/2!)(0.24)^3 = 0.240008
b. To compute the absolute error in the approximation assuming the exact value is given by a calculator, we need to subtract the actual value of sinh(0.24) from the approximation we obtained in part a:
Error = |P3(0.24) - sinh(0.24)| = |0.240008 - 0.241663| = 0.001655
Therefore, the absolute error in the approximation is 0.001655.
To approximate sinh(0.17), we use the same formula and substitute x = 0.17:
P3(0.17) = 0.17 + (1/2!)(0.17)^3 = 0.170005
To compute the absolute error in this case, we subtract the actual value of sinh(0.17) from the approximation we obtained:
Error = |P3(0.17) - sinh(0.17)| = |0.170005 - 0.17031| = 0.000305
Therefore, the absolute error in the approximation for sinh(0.17) is 0.000305.

To know more about approximate visit:

https://brainly.com/question/16315366

#SPJ11

Answer:

Each undershirt costs $2.99 when purchased individually.

Step-by-step explanation:

The problem says that $13.98 is $3.96 less than the cost of buying 6 individual shirts which means that the total cost of buying 6 individual shirts is $17.94.

To find the price of 1 individual shirt, you divide 17.94 by 6. When you do this, you get $2.99. $2.99 is the cost of each undershirt when purchased individually.

Hope this helps!

Answer:

12) complementary,   x=15

13) complementary, x = 35

x+ (x-20) = 90

x+x+20=90

2x=70

x=35

14) supplementary, x=31

2x+3x+25=180

5x=155

x=31

15) <1 = 130 degrees

 <2 = 50 degrees

<3 = 130 degrees

16) x=53

x+2x+21=180

3x=159

x=53

Answer:

-16

Step-by-step explanation:

Since the equation has the have a negative answer and there is a positive number in the equation, the second number of the equation has to has a negative.  A negative and a positive in multiplying or dividing equals a negative and two negatives equal a positive.  so, you have to multiple by the reciprocal of 1/2 on both sides of the equal sign, which the reciprocal is 2.  Then, you have x= -8 x 2/1 which gives you -16.

The solution is: 1/2 times -16 equals -8.

Here, we have,

we know that,

Since the equation has the have a negative answer and there is a positive number in the equation, the second number of the equation has to has a negative.  

A negative and a positive in multiplying or dividing equals a negative and two negatives equal a positive.  

so, you have to multiple by the reciprocal of 1/2 on both sides of the equal sign, which the reciprocal is 2.  

Then, we have x= -8 x 2/1 ,which gives you -16.

i.e. we get,

if let, 1/2 times x equals -8,

i.e. 1/2 * x = -8

or, x= -8*2

or, x= -16

Hence, The solution is: 1/2 times -16 equals -8.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ6

Answer:

6

Step-by-step explanation:

Answer:

606 MPH

Step-by-step explanation:

4848/8=606

Answer:

606 mph

Step-by-step explanation:

i did 4848 divided by 8

Answer:

  B.  Option 2 (only)

Step-by-step explanation:

A geometric sequence is a sequence of terms that have a common ratio.

The deposits are ...

  100, 50, 50, 50, ...

The ratios of terms of this sequence are ...

  1/2, 1, 1, 1

So, the ratio is not constant, and the sequence is not geometric.

__

The deposits are ...

  5, 10, 20, 40, ...

The ratios of terms of this sequence are ...

  10/5 = 2, 20/10 = 2, 40/20 = 2, ...

The ratio is constant, so the sequence of deposits for Option 2 is geometric.

Answer:

Step-by-step explanation:

The answer is 175 miles per day. I guessed on it and it was right :D

The number of miles per day that will have to be driven for the total cost of of a car from the first agency to equal the total cost of a car from the second agency is 175.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A rental car agency charges $16 per day plus 14 cents per mile to rent a certain car. Therefore, we can write,

Total charge for x miles = $16 + $0.14(x)

Another agency charges $23 per day plus 10 cents per mile to rent the same car. Therefore, we can write,

Total charge for x miles = $23 + $0.10(x)

Since it is needed to be found the number of miles that the car should be traveling so that the total cost from both the agencies is the same. Thus, equate the equation together,

$16 + $0.14(x) = $23 + $0.10(x)

16 + 0.14x = 23 + 0.10x

0.14x - 0.10x = 23 - 16

0.04x = 7

x = 7 / 0.04

x = 175 miles per day

Hence, the number of miles per day that will have to be driven for the total cost of of a car from the first agency to equal the total cost of a car from the second agency is 175.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

Answer:

1,638 m^(2)

Step-by-step explanation:

We have to find the area of the floor in order to know how many square meters of flooring they need.

The area of the floor is:

42 m* (39 m)= 1,638 m^(2)

Answer:

Step-by-step explanation:

To convert a percent to a fraction, we have to remove the percent sign and divide the given number by 100

ex: 11% = 11/100

Answer:

bottom left

Step-by-step explanation:

:D i think it is right answer

Answer:

203 lines

Step-by-step explanation:

First: Figure out how many words there are (174x14).

Second: Divide that by 12 (which is the average of words per line) because we are trying to figure out how many lines there are.

Third: The answer is 203 lines.

Sorry about that first answer but this one I am sure is right.

Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

Answer:

It should be

likes dislikes

teens 96% 4%

adults 21% 79%

senior 18% 82%

citizens

Step-by-step explanation:

100 people

100%

so 1 person = 1%

i guess

When salt is added to water, the boiling point of water is increased. The boiling point elevation depends on the concentration of salt added. The addition of salt increases the boiling point of water.

The extent of the increase in boiling point is directly proportional to the amount of salt added. Boiling point is defined as the temperature at which the vapor pressure of a liquid is equal to the pressure exerted on it by the surrounding atmosphere.

In layman's terms, this means that a liquid boils when its vapor pressure equals atmospheric pressure. Boiling point of a liquid can be increased or decreased by the addition of solutes such as salt.When a solute such as salt is added to water, the boiling point of water increases due to the phenomenon of boiling point elevation.

This is because the solute particles in the water interfere with the formation of water vapor molecules at the surface of the liquid. As a result, more energy is required to boil the water, which means that the boiling point is elevated.

The amount of elevation is directly proportional to the concentration of salt added. In short, the addition of salt to water increases the boiling point of water.

To learn more about boiling point , visit

brainly.com/question/40140

#SPJ11

OP= 27. 6

Step-by-step explanatexplanation:

In triangle OPQ: Ô+P+Q =180

therefore <P= 6°

OQ= OP sinsinà

OP= OQ/ sinà

OP= 2.9/ sin6°

OP= 27.7 ft

using pythagoras

OP^2 = PQ^2 + OQ^2

PQ= sqrt( 27.74^2 - 2.9^2)

PQ= 27.27.6

Answer:

Ratios are proportional when the numbers in the ratio are multiply or divide by the same number. Ex. 3:5 = 6:10 = 12:20 = 9:15 (cross multiply the fractions and the results are the same 3/5 = 6/10)

Step-by-step explanation:

Answer:

Its probably 240

Step-by-step explanation:

If you divide 360 into 12 parts, you get 30 for each part, 8x30=240, so the answer is 240º I think, dont take my word for it though

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant. The measure of the smaller angle formed by the minute and hour hands is 120°.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

A 360° rotation of the hour hand is made when a clock completed 12 hours, Therefore, the measure by which the hour hand moves in an hour is,

Movement in an hour = 360° / 12 hours = 30° per hour

Now, when it will be 8 in the clock, the minute hand will be at 12, while the hour hand will be at 8, therefore, the measure of the angle between the two will be,

Measure of the larger angle formed = 8 × 30° = 240°

A complete circle is 360°. Therefore, the measure of the smaller angle formed by the minute and hour hands is,

Mearsure = 360° - 240° = 120°

Hence, the measure of the smaller angle formed by the minute and hour hands is 120°.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ2

Answer:

-3/4

Step-by-step explanation:

The slope of a line is the rise (change in y-value) over the run(change in x-value). From the graph we can see that the rise is -3 and the run is 4.

Therefore, the slope will be: -3/4

Hope this helps!

Trey will have to add 3 9/16 cups to increase the recipe 1 1/2 times.

To calculate the number of cups needed to add to increase the recipe 1 1/2 times, we have to multiply the original amount of flour by 1 1/2 times. With the help of this method we will be able to find out the number of extra cup of flour that needs to be added when the recipe is increased by 1 1/2 times.

To calculate number of increased cups, we need to:

2 3/8 * 1 1/2

let's convert the mixed fractions into improper fraction:

19/8 * 3/2

To multiple two fractions, multiply the numerators and denominators:

(19 * 3) / (8 * 2)

57 / 16

The mixed fraction would be:

3 9/16

Therefore. number of cups needed to increase the recipe 1 1/2 times is

3 9/16.

To study more about Mixed fractions:

https://brainly.com/question/12096281

#SPJ4

Answer: 18x + 15

Step-by-step explanation:

(qor)(x)

q(r(x))

q(6x+5)

3(6x+5)

⇒18x + 15   This is your answer I believe

if we were solving for x then..

⇒x = \(-\frac{15}{18}\)

Answer:

B. g(x) is shifted 5 units right and 2 units up from f(x).

g(x) = \(\frac{1}{x-5}\) + 2 is compared to the parent function, f(x) = \(\frac{1}{x}\) by g(x) is shifted 5 units right and 2 units up from f(x).

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

Given parent function is,

f(x) = \(\frac{1}{x}\)

And the translated function is,

g(x) = \(\frac{1}{x-5}\) + 2

When f(x) becomes g(x), the first change occurred is \(\frac{1}{x}\) changes to \(\frac{1}{x-5}\).

That is f(x) changes to f(x-5).

This translation occurs when the function undergoes horizontal translation towards right.

Then \(\frac{1}{x-5}\) is translated to \(\frac{1}{x-5}\) + 2.

That is, f(x-5) is changed to f(x-5) + 2.

This occurs for the vertical translation towards up.

Hence the translation occurred is g(x) is shifted 5 units right and 2 units up from f(x).

Learn more about Translations of Functions here :

https://brainly.com/question/26238840

#SPJ5

Answer:2688

Step-by-step explanation:

Answer:

\(=7x^2+8x-2\)

Step-by-step explanation:

So, on Monday, Tuesday, and Wednesday, he mowed:

\((4x^2+3x-4),(5x-8),(3x^2+10)\)

yards, respectively.

To determine how many yards he mowed in the three days, simply add the three expressions. Thus:

\((4x^2+3x-4)+(5x-8)+(3x^2+10)\)

Combine like terms:

\(=(4x^2+3x^2)+(3x+5x)+(-4-8+10)\)

Add or subtract:

\(=7x^2+8x-2\)

And it cannot be simplified further :)

Answer:

Step-by-step explanation:

The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

Correlation is the mutual connection between two or more variables. These variables can be dependent or independent but there should be random variables.

Autocorrelation is the degree of correlation between the values of the same variables across different data.

Instead of correlation between two different variables, the correlation is between two values of the same variable at times i and i + k.

It is used for the following two purposes:

- To detect non-randomness in data.

- To identify an appropriate time series model if the data are not random.

Therefore, The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

Learn more about autocorrelation here:

https://brainly.com/question/14134127

#SPJ4