a6. Emily is choosing between two plans at the Fantastic Fit Gym. For theBeginner's Plan, you pay $60 to become a member, and then $10 eachmonth. For the Veteran's Plan, you pay $40 to become a member, andthen $15 each month. The graph below shows the total cost of both plans.The graph of the two plans intersect at a point. Describe what the pointmeans.

The number of different ways of placing 15 balls in a row given that 4 are red, 3 are yellow, 6 are black, and 2 are blue is:

15!/(4!3!6!2!) = 126,126

To find the number of ways of placing the 15 balls, we use the formula for permutations with repetition. There are a total of 15! ways of arranging the balls in a row, but since there are 4 red balls, 3 yellow balls, 6 black balls, and 2 blue balls, we need to divide by the number of permutations of each color.

This gives us the formula: 15!/(4!3!6!2!), which simplifies to 126,126. Therefore, there are 126,126 different ways of placing the 15 balls in a row.

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Answer:

It is D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The endpoints of a line segment graphed on the coordinate system are (−7, 3) and (2, 5). What is the range of the graph? the x values are the domains which are the first numbers so in this case the domains would be -7 and 2 but this question is talking about range which is the y in other words its the second numbers which is 3 and 5

In the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

The domain refers to the set of possible inputs or variables in a given context. In this case, the scatterplot is being created based on the relationship between the time students spent studying and their corresponding test grades. Therefore, the domain in this context would be the number of minutes the students studied (option D).

The domain represents the independent variable, which is the variable that is controlled or manipulated in the analysis. In this scenario, the math teacher wants to analyze the relationship between studying time and test grades, so the number of minutes studied would be the independent variable. The teacher surveys the students to collect data on the time spent studying, and this variable becomes the domain of the scatterplot.

The range, on the other hand, represents the dependent variable, which is the variable that is measured or observed as an outcome or response. In this case, the dependent variable would be the students' test grades. The scatterplot will show how the test grades correspond to the amount of time students studied.

To summarize, in the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

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The perimeter of the rectangle is 44cm

Given:

Area: \(Area = 105cm^{2}\)

width: \(w= 7 cm\)

To find the perimeter first we need to find the length of the rectangle.

We find it with the formula for the area of a rectangle:

\(Area = width*length\)

so clearing for length:

\(length = \frac{area}{width}\)

substituting known values:

\(length = \frac{105}{7} \\length = 15 cm\)

And now we can calculate the perimeter:

\(perimeter = 2(width + length)\\\\perimeter = 2(7cm + 15cm)\\\\perimeter = 44cm\)

Hence , the perimeter of the rectangle is 44cm

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Answer:

Step-by-step explanation:

x + 3 = 2x - 17

-x + 3 = -17

-x = -20

x = 20

20 + 3 + 2(20) - 17

20 + 3 + 40 - 17

63 - 17 = 46 = AC

Answer:

5.80

Step-by-step explanation:

Answer:

-4.2

Step-by-step explanation:

multiply -5 and 5 which is -25 then add 4 which will get u -21 keep the denominator the improper fraction form is -21/5 then divide u will get, -4.2.

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Answer: I say a dictionary.

Step-by-step explanation:

Answer:

238,858 is the answer to your question

Answer:

23858

Step-by-step explanation:

92589230-92350372=23858

The greatest common divisor (24,6) is 6 and the least common multiple (24,6) is 24.

As per the question statement, the greatest common divisor of two integers is (x+2) and the least common multiple x(x+2). It is given that one of the integers is 24.

Let us assume that "b" is the value of other one.

greatest common divisor(24,b) = (x+2)

least common multiple(24,b) = x(x+2)

Formula:

greatest common divisor(24,b)*least common multiple(24,b) = 24*b

24*b = (x+2)*x(x+2)

\(b = \frac{x(x+2)^{2} }{24} \\\)

Hence, the smallest possible value of the other one is "6" and x = 4.

Hence, the greatest common divisor (24,6) is 6 and the least common multiple (24,6) is 24.

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Since the square root of a negative number isn't a real number, this problem has no real solutions. The answer is [There are no real solutions to the system]

The equation for the displacement of the buoy at any time t is: d(t) = 12 • sin(10πt), where t is measured in seconds.

To describe the motion of the buoy, use the equation for simple harmonic motion:

d(t) = A • sin(ω t + ⍉]

where:

d(t) is the displacement of the buoy from sea level at time t

A is the amplitude of the motion (in this case, 12 in)

ω is the angular frequency of the motion

⍉ is the phase constant

The angular frequency ω is related to the period T by the equation ω = (2π)/T.

Given that the period T is 0.2 seconds, we can calculate ω as follows:

ω = (2π)/T = (2π)/0.2s = 10πs⁻¹

Since the buoy initially moves upward, the phase constant ⍉ will be 0.

Therefore, the equation for the displacement of the buoy at any time t is:

d(t) = 12 • sin(10πt)

where t is measured in seconds.

Note that the displacement d(t) is measured in inches, as given by the amplitude.

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To find h'(3) given h(x) = f(x) xg(x), we use the product rule of differentiation:

h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)

We are not given the functions f(x) and g(x), but we can use the given graphs to estimate their values near x = 3. Let's say that f(3) = 2 and g(3) = 5. We also need to estimate f'(3) and g'(3) in order to calculate h'(3). We can estimate these values using the slopes of the tangent lines to the graphs at x = 3.

Let's say that the slope of the tangent line to the graph of f(x) at x = 3 is 1, and the slope of the tangent line to the graph of g(x) at x = 3 is 3. Then we have:

f'(3) ≈ 1

g'(3) ≈ 3

Substituting these values into the product rule for h'(x), we get:

h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)

h'(3) = f'(3) 3 g(3) + f(3) g(3) + f(3) 3

h'(3) = (1)(3)(5) + (2)(5) + (2)(3)

h'(3) = 19

Therefore, h'(3) is approximately equal to 19, based on the given graphs and our estimates of f'(3) and g'(3).

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Step-by-step explanation:

The price is 165 for all the volume of cylinder

So price divided by each cm^2 of the volume 165/0.75 = 220

220 =pi* r^2 * h = 3.14 *r^2 *100

Solving for r =0.83

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Answer:

10,049

.....................

The probability is: 3/5

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

There are : 41 | 43 | 47 | 53 | 59 (5 primes)  Between 40 and 60.

41 + 12 =53 is a prime

43 + 12 =55 Not a prime

47 + 12 =59 is a prime

53 + 12 =65 Not a prime

59 + 12 =71 is a prime

Therefore, the probability is: 3/5

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Mr. Simon can serve 26 people with 20 containers of soup.

Given that: Mr.Simon has 20 containers of soup. 3 containers of soup feeds 4 people.

Frst, we need to know how many people can be fed by one container of soup.

We are given that 3 containers of soup can feed 4 people.

Hence, we can calculate how many people one container of soup can feed by dividing 4 people by 3 containers

One person ⇒  4/3

Next, we multiply the number of people per container by the total number of containers, which is 20 in this case.

This gives us:

= 20 × (4/3)

= 80/3

= 26.667

≈ 26

Mr. Simon can feed 80/3 people with 20 containers of soup. However, since we cannot serve a fractional part of a person, we should round the answer to a whole number. In this case, rounding down gives us 26.

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3x - y = -3 The substitution-based system's answer is (5, 12)

We have been given that

3x - y = 3 and

y = 2x + 2

Substitute y = 2x + 2 in the first equation, we get,

3x - (2x + 2) = 3

3x - 2x - 2 = 3

x - 2 = 3

Then we get,

x = 5

y = 2x + 2

= 2(5) + 2

= 12

Hence, the solution is (5, 12).

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Answer:

456000

Step-by-step explanation:

cause

Answer:

4-5i

Step-by-step explanation:

Answer:

4-5i

Step-by-step explanation:

(5-2i)-(1+3i)

5-2i-1-3i

5-1-2i-3i

4-5i

Answer:

$6,786.09

Step-by-step explanation:

Calculation to find out the maximum amount of profit the company can make, to the nearest dollar

Based on the information given we would have to find the value of y since x is the line of symmetry by using this formula

x=-b/(2a)

Where,

a = -35

b = 1458

Let plug in the formula

x=-1458/(2)(-35)

x=-1458/-70

x=1,458/70

Now let put the value of x above into this formula y=-35x^2+1458x-8400 in order for us to find the value of y

y=-35x^2+1458x-8400

y=(-35)(1458/70)^2+1458(1458/70)-8400

y=(-35)(433.83)+1,458(20.83)-8400

y=-15,184.05+30,370.14-8400

y=$6,786.09

Therefore the maximum amount of profit the company can make, to the nearest dollar is $6,786.09

Answer:

67.84

Step-by-step explanation:

y=-35x^2+1458x-8400

y=−35x  

2

+1458x−8400

\text{Find: Max Profit}\rightarrow\text{y-value}

Find: Max Profit→y-value

x

y

(21, 6784)

y=$67.84{Max profit}

y=$67.84→Max profit

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.

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Yes, there is sufficient evidence to conclude that the length of storage significantly influences sorbic acid residual concentrations by determining the t-test.

The review directed by the Division of Human Sustenance and Food sources at Virginia Tech explored the impact of capacity time on the centralization of sorbic corrosive residuals in ham. In view of the information gave, a matched t-test was directed to decide if there is a huge contrast between the sorbic corrosive lingering focuses when 60 days of capacity.

The aftereffects of the test showed that the determined t-test measurement of 4.35 was more prominent than the basic worth of 2.365 at the 0.05 degree of importance, demonstrating that there is adequate proof to dismiss the invalid speculation and infer that the length of capacity fundamentally impacts sorbic corrosive lingering fixations. This finding recommends that food makers ought to painstakingly consider the capacity states of their items to limit the degrees of additives and other substance buildups in the eventual outcome.

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If a salesperson has 7 customers in denver and 13 customers in reno then there are 20 different ways in which he can make calls.

Given that the salesperson has 7 customers in denver and 13 customers in reno.

We are required to find the number of ways in which he can make use of telephone.

Number of customers in denver=7

Number of customers in reno=13

Total customers=20

Since he can talk to one customer at one time and he can either choose customer from denver or reno, the number of ways by using combinations will be \(7C_{1}\)+\(13C_{1}\)

=7+13

=20 ways.

Hence if a salesperson has 7 customers in denver and 13 customers in reno then there are 20 different ways in which he can make calls.

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Answer:

1. A

2. Part A: B

3. Part B: C

4. Part C: B

5. B

6. Part A: B

7. Part B: C

8. A

Hope this helps!! :)

Answer:tyer5aghfdtr

Step-by-step explanation:

Answer:tyer5aghfdtr

rgtedrgdgdgdgd

Step-by-step explanation:

Answer:tyer5aghfdtr

gdgdhjkygkyuity7uindr6n6usre6rsnu6nrsu

Step-by-step explanation:

6nrus6nru5unrys6sr5n6urn56ur5n6usr6un

Answer:

Step-by-step explanation:

The answer is C. 6

Answer:

1)6.000

2)8.935.600

5)70.000

4)2.509.200

7)6.000

8)9.000

10)5.800

11)6.900.000

13)5.000

14)2.000

16)5.000

17)6.400

Step-by-step explanation:

if you a line on the  numbers you will see it easy

Answer:

4480ft³

Step-by-step explanation:

formula: V=⅓Bh (B- base) (h-hight)

B=L×W, B=17.5×32= 560

h=24ft

V=⅓(L×W)h

V=⅓(560)24

V=⅓(13440)

13440÷3=4480ft³