Alicia has 9 paintings she wants to hang side by side on her wall.

(a) in how many ways can she arrange all 9 paintings? show your work

(b) if she only wants to display 5 of the paintings, in how many ways can she choose the paintings she wishes to display show your work.

(c) in how many ways can she arrange 5 out of 9 paintings? Show your work.

Answer:

linear equations;15m+10=w

15 pages written for every month for 5 months plus the 10 pages she has already written is equal to the total number of pages written in 5 months m=number months written in this case it is 5 months.

w=number of pages written in 5 months 15(5)+10=w

75+10=w

85 Pages written=w

will have written 85 Pages in 5 months

The value of the function f(2) is 3

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x - 1

Also, we have

x  = 2

Substitute the known values in the above equation, so, we have the following representation

f(2) = 2 * 2 - 1

Evaluate

f(2) = 3

Hence, the solution is 3

Read more about functions at

https://brainly.com/question/28277110

#SPJ1

Complete question

Consider the function,f(x) = 2x - 1

Calculate f(x) when x = 2

Answer:

This answer is option 1

Step-by-step explanation:

The awnser is No slope,x=-5,A slope of 0,and y=-5

The explicit formula and a recursive formula using n for the day and Vn for the number of days will be;

⇒ Vn = 100 (2)ⁿ⁻¹

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The table is shown in figure.

Now,

Let n for the day and Vn for the number of days.

Clearly, The table is in geometric sequence as;

⇒ Common ratio = 200/100

                           = 2

And, The first term = 100

So, The explicit formula and a recursive formula will be;

⇒ Vn = 100 (2)ⁿ⁻¹

Where,  'n' for the day and 'Vn' for the number of days.

Thus, The explicit formula and a recursive formula using n for the day and Vn for the number of days will be;

⇒ Vn = 100 (2)ⁿ⁻¹

Learn more about the geometric sequence visit:

https://brainly.com/question/24355584

#SPJ1

Answer:

Step-by-step explanation:

To find the total amount of time Matthew spent cleaning the kitchen and helping with the laundry, we need to add the two times together. However, the times are given in different formats (1/3 hour and 1 1/2 hours), so we need to convert them to a common format first.

To convert 1 1/2 hours to a fraction, we can multiply the whole number (1) by the denominator of the fraction (2) and then add the numerator (1). This gives us:

1 1/2 = (1 × 2 + 1)/2 = 3/2

So Matthew spent 1/3 hour cleaning the kitchen and 3/2 hours helping with the laundry. Adding these two times together, we get:

1/3 + 3/2 = 2/6 + 9/6 = 11/6

So Matthew spent 11/6 hours cleaning and doing laundry. We can simplify this fraction by dividing the numerator and denominator by their greatest common factor, which is 1:

11/6 = 1 5/6

Therefore, Matthew spent 1 hour and 5/6 of an hour (or 1 hour and 50 minutes) cleaning and doing laundry.

Answer:

V(sphere) =

\( \frac{4 }{3} \pi \:{r}^{3} = 195.43 \\ \)

V(hemisphere) = V(sphere)/2 = 97.715 = 97.7

Probability of selecting a female student from the given number of students is equal to 0.5217.

As given in the question,

Number of female students in algebra class = 48

Number of male students in algebra class = 44

Total Number of students in algebra class = 48 + 44

                                                                  = 92

Total number of outcomes = ⁹²C₁

Number of favourable outcomes = ⁴⁸C₁

Probability of selecting a female student

= (Number of favourable outcomes) / (Total number of outcomes )

= ⁴⁸C₁ /  ⁹²C₁

= 48 / 92

= 12/23

= 0.5217

Therefore, the probability of selecting a female students from the given number of male and female students is equal to 0.5217.

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer:

l + w = 25 and lw = 136

w(25 - w) = 136

25w - w² = 36

w² - 25w - 136 = 0

(w - 17)(w - 8) = 0

w = 8, so l = 17

The dimensions of the bookmark are 8 cm by 17 cm.

Answer:

2

Step-by-step explanation:

10 to the power of 0 is 1

2to the power of 1 is 2

2*1 =2

The final answer is  F(s) = 3 / (9 + s^2).

To find F(s) given f(t) = sin(3t), we need to take the Fourier Transform of f(t).

The Fourier Transform pair for a sinusoidal function is as follows:

f(t) = A * sin(wt)

F(s) = A * (w / (w^2 + s^2))

In this case, f(t) = sin(3t), so we have:

A = 1 (amplitude)

w = 3 (angular frequency)

Applying the Fourier Transform pair, we can find F(s):

F(s) = A * (w / (w^2 + s^2))

= 1 * (3 / (3^2 + s^2))

= 3 / (9 + s^2)

Therefore, F(s) = 3 / (9 + s^2).

for such more question on Fourier Transform

https://brainly.com/question/30402015

#SPJ8

Question

Do as required : find : F(s) if f(t)=sin3t

In this scenario, the shape of the sampling distribution of X-bar is approximately normal.

The sampling distribution of the sample mean, X-bar, can be determined by the Central Limit Theorem. In this case, since the sample size is large (n = 64) and the underlying distribution (X) is approximately normal, the sampling distribution of X-bar will also be approximately normal. The Central Limit Theorem states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of X-bar tends to become more and more normal. Therefore, in this scenario, the shape of the sampling distribution of X-bar is approximately normal.

For more information on uniform distribution visit: brainly.com/question/15301850

#SPJ11

Answer:

jupiter, Saturn, Uranus, neptune are all distance from sun

Step-by-step explanation:

Answer:

AU:

Merc-0.39

Venus-0.72

Earth- 1

Mars- 1.52

Jupiter - 5.20

Uranus - 19.1

Neptune - 30

Years:

Merc-0.24

Venus-0.61

Earth- 1

Mars- 1.88

Uranus - 84?(maybe)

Neptune - 165

Step-by-step explanation:

Edge

The water pipe sometimes bursts in winter because of the flowing water getting transformed into freezing water due to drop in temperature and the volume increases creating more pressure on the wall pipes.

Bursting of Water Pipes During a Very Cold Winter

The straightforward explanation is that during very cold winters, as water freezes into ice, it expands, causing solid ice to fill a larger volume than the liquid that was previously flowing through the pipes.

As we know that, the pressure P increases with increase in volume, V, the increased volume of frozen water leads to increase in the pressure inside the pipe.

The pressure that the ice builds up inside the pipes could rupture the pipe walls.

Learn more about pressure here:

https://brainly.com/question/356585

#SPJ4

Answer:

the answer would be

Step-by-step explanation:

Answer: The answer is .04

Step-by-step explanation:

Answer:

[-9,0]

Step-by-step explanation:

You use brackets to indicate that the numbers, in this case -9 and 0, are included in the interval.

You use parentheses to indicate that the numbers are excluded from the interval.

Since we want to include the numbers in the interval, we use the brackets.

The answer is [-9,0]

Hope this helps!

The soccer team can have 1,716 different starting lineups. The number of ways to choose 1 player out of 13 for the goalkeeper position is given by the combination formula: C(13, 1) = 13.

To calculate the number of different starting lineups, we need to determine the combinations of players that can be chosen for the starting lineup. Since there are 13 players on the team and 11 positions in the starting lineup, we need to choose 1 player for the goalkeeper position and 10 players for the regular positions. Similarly, the number of ways to choose 10 players out of the remaining 12 players for the regular positions is given by the combination formula:

C(12, 10) = 66.

To find the total number of different starting lineups, we multiply the number of choices for the goalkeeper position by the number of choices for the regular positions: 13 * 66 = 858.

However, the order of the players in the lineup doesn't matter, so we need to divide the result by the number of permutations of the 10 regular players: 858 / 10! = 1716. The soccer team can have 1,716 different starting lineups.

To know more about lineups visit:

https://brainly.com/question/30636529

#SPJ11

Answer:

(1/2x+3)(1/2x+3)

         OR

\((1/2x+3)^{2}\)

To find the spectrum of the signal x(t) = sin(2t) + sin(3t) using MATLAB's fft code, you can follow these steps:

1. Define the time range and sampling frequency: You need to specify the time range over which you want to analyze the signal and the sampling frequency. Let's say you want to analyze the signal from t = 0 to t = T with a sampling frequency of Fs.

2. Generate the time vector: Create a time vector that spans the desired time range using the sampling frequency. You can use the linspace function in MATLAB to create a vector of equally spaced time points.

3. Generate the signal: Using the time vector, generate the signal x(t) = sin(2t) + sin(3t) by evaluating the expression at each time point.

4. Apply the FFT: Use the fft function in MATLAB to compute the discrete Fourier transform of the signal. The fft function returns a complex-valued vector representing the frequency components of the signal.

5. Compute the frequency axis: Create a frequency axis that corresponds to the FFT output. The frequency axis can be obtained using the fftshift and linspace functions. The fftshift function shifts the zero frequency component to the center of the spectrum.

6. Plot the spectrum: Use the plot function to visualize the spectrum of the signal. Plot the frequency axis against the magnitude of the FFT output.

7. Identify the frequency components: In the plot, you will see peaks corresponding to the frequency components of the signal. The positions of these peaks indicate the frequencies present in the signal. Look for peaks in the spectrum at frequencies around 2 and 3 Hz.

Here is an example MATLAB code snippet that implements the above steps:

```matlab
% Define the time range and sampling frequency
T = 1;              % Time range
Fs = 1000;          % Sampling frequency

% Generate the time vector
t = linspace(0, T, T*Fs+1);

% Generate the signal
x = sin(2*t) + sin(3*t);

% Apply the FFT
X = fft(x);

% Compute the frequency axis
f = linspace(-Fs/2, Fs/2, length(X));

% Plot the spectrum
plot(f, abs(fftshift(X)));
xlabel('Frequency (Hz)');
ylabel('Magnitude');
title('Spectrum of x(t) = sin(2t) + sin(3t)');

% Identify the frequency components
% Look for peaks around 2 and 3 Hz in the plot
```

Make sure to run the code snippet in MATLAB to obtain the spectrum plot. The position of the frequency components will be indicated by the peaks in the plot.

To learn more about spectrum, refer below:

https://brainly.com/question/31086638

#SPJ11

well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

Given

The parallelogram,

To name all pairs of congruent triangles in the given parallelogram.

Explanation:

It is given that,

That implies,

The probability that the archer will hit the center which is 122 centimeters in diameter with 10 concentric circles whose diameters decrease by 12.2 centimeters as they get closer to the center is 1/100.

As given in the question,

Total number of concentric circle=10

Outer circle diameter=122centimeters

Diameter decrease by 12.2 centimeters as they get closer to the center

Diameter of inner most circle= 122-9(12.2)

                                             = 12.2centimeter

Probability that archer hit the center

= (Area of inner most circle)/ (Area of target)

= π(6.1)²/π(61)²

= {π(61)²/π(61)²}× 1/100

= 1/100

Therefore, probability that the archer will hit the center is 1/100.

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

The given statement as an expression is y = 7 + 2x

From the question, we have the following parameters that can be used in our computation:

A mathematical statement

The mathematical statement is given as

7 points more than twice the number of points scored by the other team

Represent the points with x and y

So, we have the following representation

7 points more than twice x is  y

is equal to implies =

So, we have:

7 points more than twice x = y

more than implies +, twice implies 2 times

This gives

7 + 2 * x = y

Evaluate

7 + 2x = y

Rewrite as

y = 7 + 2x

The question does not require that we solve the expression

So, we leave it at y = 7 + 2x

Hence, the required expression is y = 7 + 2x

Read more about expression at

brainly.com/question/15775046

#SPJ1

Answer:

3

Step-by-step explanation:

Answer:

#3

Step-by-step explanation:

(x,y)  (x,y,+1)

Answer:

14

Step-by-step explanation:

im right

As per the given measurement , the area of the paper on the bottom of the cage 2736 square inches.

The formula to calculate the volume of the prism is written as

V = l x w x h

Where l refers the length , w refers the width and h refers the height.

Here we have know that the height of 24 inches and a volume of 6,480 cubic inches.

Now we have to apply the values on the formula in order to get the width of the cage,

=> 6480 = w x 24 x 12

=> w = 6480/288

=> W = 22.5

Therefore, the area of the bottom of the cage is calculated as,

=> A = 2[(24 x 22.5) + (24 x 12) + (22.5 x 24)]

When we simplify this one then we get the value of the area as,

=> A = 2736 square inches.

To know more about Area here.

https://brainly.com/question/14994710

#SPJ4

Answer:

a. x = 4.8989794855663561963945681494118 or 4.9 rounded

b. x = 8.6023252670426267717294735350497 or 8.6 rounded

Step-by-step explanation:

7² - 5² = x²

49 - 25 = x

49 - 25 = 24

√24 = 4.8989794855663561963945681494118

7² + 5² = x²

49 + 25 = x

49 + 25 = 74

√74 = 8.6023252670426267717294735350497

The original selling price would be $ 514.87approximately.

An equation is an expression that shows the relationship between two or more numbers and variables.

Consider x be the original selling price After marking down 10%,

Then New selling price = x - 10 % of x

= 0.9x

Again after marking down 30%, then equation form

Final selling price = 0.9x - 30% of 0.9x

Final selling price = 0.9x - 0.30 of 0.9x

Final selling price = 0.63x

According to the question,

0.63x = 322

x = 514.87

Hence, The original selling price would be $ 514.87approximately.

Learn more about equations here;

brainly.com/question/25180086

#SPJ1