in how many ways can five distinct martians and eight distinct jovians be seated at a circular table if no two martians sit together.

The value of x in the given inequality 6x ≤ 18, is S:3 out of all the given options.

The correct answer is S:3.

To solve for x, we divide both sides of the inequality by 6. When dividing by a negative number, we flip the direction of the inequality sign. This gives us x ≤ 3.

Therefore, the possible values of x are 3, 2, 1, 0, and so on. The answer can not be 26, 14, or 7, because those values would make x greater than 3.

Here is the solution in steps:

6x ≤ 18

6x/6 ≤ 18/6 (divide both sides by 6)

x ≤ 3

Therefore, the value of x is 3.

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Answer:

  0.253 m/s

Step-by-step explanation:

You want to know the horizontal component of motion of a passenger riding a Ferris wheel when they are 1/27 of the way around the circle and their rate of rise is 0.06 m/s.

The wheel makes one revolution in 27 minutes, so the angular displacement is changing at the rate of (360°)/(27 min) = 13 1/3°/min.

After 1 minute, the passenger is following a path that has an angle of elevation of 13 1/3°.

The ratio of vertical speed to horizontal speed will be the tangent of the angle of elevation:

  Vv/Vh = tan(13 1/3°)

Then the horizontal speed will be ...

  Vh = Vv/tan(13 1/3°) = (0.06 m/s)/0.237004

  Vh ≈ 0.253 m/s

The passenger's horizontal motion is about 0.253 m/s.

Answer:

Take the root of both sides and solve.

Exact Form:

U

=

4

√

3

,

−

4

√

3

Decimal Form:

U

=

1.31607401

…

,

−

1.31607401

Step-by-step explanation:

Answer:

m=−37

Step-by-step explanation:

34 = -3 + -1m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add 'm' to each side of the equation.

34 + m = -3 + -1m + m

Combine like terms: -1m + m = 0

34 + m = -3 + 0

34 + m = -3

Add '-34' to each side of the equation.

34 + -34 + m = -3 + -34

Combine like terms: 34 + -34 = 0

0 + m = -3 + -34

m = -3 + -34

Combine like terms: -3 + -34 = -37

m = -37

Answer:

Sample Response:

The negative sign outside the parentheses represents –1. Distribute the –1 to everything inside the parenthesis. Use the addition property of equality first to add 3 to both sides. Then use the division property of equality to divide both sides by -1.

Answer:

The answer is statement 2

-1.08333333333

I used a calculator

hope it helps!

Answer:

\(-1.083\)

Step-by-step explanation:

If you want to convert \(\frac{-26}{24}\) as a fraction, you will have to divide the numerator by the denominator.

\(-1.083\)

\(Aaishathameem\)

1. Define time range: t = 0:0.1:20;

2. Calculate x, y, and z positions:

  x = 0.01 * (30 - t).^2 .* sin(2 * t);

  y = 0.01 * (30 - t).^2 .* cos(2 * t);

  z = 0.5 * t.^(1.5);

3. Plot the particle's trajectory: plot3(x, y, z);

1. Define time range: To define the time range from 0 to 20 seconds with a step size of 0.1 seconds, use the syntax t = 0:0.1:20. This creates a vector t that starts from 0, increments by 0.1, and ends at 20.

2. Calculate x, y, and z positions: Use the given equations to calculate the x, y, and z positions of the particle at each time point. The equations represent the particle's motion in three dimensions.

By substituting the values of t into the equations, you can obtain the corresponding x, y, and z coordinates.

3. Plot the particle's trajectory: To visualize the particle's trajectory, use the plot3 function in MATLAB. This function creates a 3D plot of the particle's position over time.

Pass the x, y, and z vectors as arguments to the plot3 function, like this: plot3(x, y, z). This will generate a 3D plot that shows how the particle moves in space as time progresses.

Executing these steps in MATLAB will result in a 3D plot displaying the trajectory of the particle for the specified time range. The plot will provide insights into the shape, direction, and overall behavior of the particle's motion.

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Complete question:

Answer All the Questions using MATLAB

The position of a moving particle as a function of time is given by:

x = 0.01 * (30 - t).^2 .* sin(2 * t);

y = 0.01 * (30 - t).^2 .* cos(2 * t);

z = 0.5 * t.^(1.5);

Plot the function of the particle for 0≤t≤20 s

Step-by-step explanation:

make the figure into 1 rectangle with dimensions 25 and w,and rite triangle with hypotenuse = 18 and h = 8

applying Pythagoras theorem

18^2 = 8^2 + b^2

b^2 = 260

b = 2√65ft

area of rectangle = 2√65 * 25= 50√65

area of triangle = 1/2 * 2√65*8 = 8√65

total area = 58√65 ft^2

A. To obtain the Cartesian and polar forms of the function f(z) = z², we square the complex number z and express it in both forms.

B. To verify if u(x, y) = (x y³ -x³y) is a harmonic function, we check if it satisfies Laplace's equation. We can then construct the analytic function w = f(z) = u(x, y) + iv(x, y) by introducing a harmonic conjugate.

C. To find the poles and classify their orders for the given functions, we analyze the denominators and determine the values of z for which the functions become singular.

A. The function f(z) = z² can be expressed in Cartesian form as f(z) = (x + iy)² = x² - y² + 2ixy. In polar form, we write z as z = re^(iθ), where r represents the magnitude and θ is the argument. Squaring z gives f(z) = r²e^(2iθ).

B. To verify if u(x, y) = (x y³ - x³y) is harmonic, we calculate its second-order partial derivatives with respect to x and y. If Laplace's equation (∂²u/∂x² + ∂²u/∂y² = 0) holds true, then u is harmonic.

Next, we introduce a harmonic conjugate v(x, y) such that vₓ = -uₓ and vᵧ = -uᵧ. Solving these partial differential equations gives us v(x, y) = -(x³ + 3xy²) + C, where C is a constant.

Thus, the analytic function w = f(z) = u(x, y) + iv(x, y) is given by w = (x y³ - x³y) - i(x³ + 3xy²) + C.

C. To find the poles and classify their orders for the given functions:

f(z) = ²1: There is no denominator, so the function has no poles.

f(z) = z¹ + 2z² + 1: The denominator is z² + z + 1, which can be factored as (z - ω)(z - ω²), where ω is a complex cube root of unity. The function has simple poles at z = ω and z = ω², with orders 1.

f(z) = z² + z + 1: The denominator is z² + z + 1, which does not factor further. The function has no poles.

By analyzing the denominators of the functions, we determine the poles and classify their orders accordingly.

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To find the critical numbers of a function, take its derivative, set it equal to zero, and solve for x.

To find the critical numbers of the function f(x) = x-1 * x²-x+1, we need to take its derivative and set it equal to zero. Let's differentiate the function first. The derivative of f(x) is given by f'(x) = 3x² - 3x - 1. Now, we set f'(x) equal to zero and solve for x.

Solving the equation 3x² - 3x - 1 = 0 can be done using various methods like factoring, quadratic formula, or graphing. Upon solving, we find that there are two critical numbers, approximately x ≈ -0.347 and x ≈ 1.347.

These are the values of x where the function f(x) may have local extrema or points of inflection.


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Answer:

Y = -14

Step-by-step explanation:

Y = X - 12

Y = -2 - 12

Y = -14

Hope this helps!

Looking at the question, I'm assuming it has a mistake.

However, I will first attempt to solve it normally:

Simply combine like terms to get 5x = 180, and thus x = 36, and y = 72

The first mistake possibility is that the first equation should be 3x + 2y = 180

If that is the case, simply substitute in 2x for y, turning the equation into

3x + 2 (2x) = 180

3x + 4x = 180

7x = 180

Thus, x = 25.715 and y = 51.43

Another possible mistake is that the first equation should be 3y + 2x = 180

Solve similar to the first mistake

3 (2x) + 2x = 180

6x + 2x = 180

8x = 180

Thus, x = 22.5, and y = 45

Hope it helps :)

Answer:

quadrant 1 that the graph is mainly in

Answer:

x = 9

x = 1

Step-by-step explanation:

The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.

To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:

0 = -b * log(base a)(3 - h) + k

Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:

2 = -b * log(base a)(0 - h) + k

Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.

In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.

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Answer:

(-6,8)

Step-by-step explanation:

First, when we look at the graph, we need to look at where the two linear lines intersect. We find that they intersect at (-6,8). Now that we found the solution to the equation, that is the entitled answer.

Answer:

when i worked it out i got the answer as A.

Step-by-step explanation:

A is the answer i got.

The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

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According to the Pythagorean Theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs of a right triangle.

In other words, \(a^2 + b^2 = c^2\) for the triangle depicted below.

The right triangle's legs, a and b, are perpendicular sides, and the hypotenuse, c, is the side that faces away from the right angle.

Construction projects and almost anything involving right triangles, such as roofing for homes, are common uses for this application.

Hypotenuse² = Base² + Perpendicular²

The Pythagorean Theorem is used in a variety of computations. For instance, it may be used to determine the height and distance of straight and fallen trees, as well as the steepness of hills and mountains.

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When rolling two dice the possible outcomes are:

Probability is calculated as follows:

There is a total of 6x6 = 36 possible outcomes. From the table, we can see that 5 of them are a 6 and 3 of them are a 10. Then, the number of favorable outcomes is 5 + 3 = 8. Therefore, the probability of winning on your next turn is:

Answer: 18 square ft.

Step-by-step explanation:

Surface area is length*width. 1*1= 1*6= 6

since there are three cubes, it is 6*3= 18 square ft total.

Step-by-step explanation:

From 4:26 to 6:50  is   2 hr and 24 in = 2  24/60  hrs =  2.4 hours

2.4 hrs is what percent of 15 hrs ?

2.4  /  15  * 100% = 16%

\({(x-h)}^2 + {(y-k)}^2 = {r}^2\) represent the equation of the new circle.

Given: (h,k) is center of circle

           and (x,y) remains on edge of circle.

The distance formula is used to determine the distance, d, between two points. If the coordinates of the two points are (x1, y1) and (x2, y2), the distance equals the square root of x2 − x1 squared + y2 − y1 squared.

The distance formula is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points.

In a Cartesian grid, to measure a line segment that is either vertical or horizontal is simple enough. You can count the distance either up and down the y-axis or across the x-axis

Using Distance formula which says,

\(\sqrt{{({x}_2 - {x_1})}^2 + {({y}_2 - {y}_1)}^2} = r\\\sqrt{{(x - h)}^2 + {(y - k)}^2} = r\\\\{(x - h)}^2 + {(y - k)}^2 = r^2\)

Hence, the equation of the new circle will be \(\\{(x - h)}^2 + {(y - k)}^2 = r^2\)

\(\sqrt{{({x}_2 - {x_1})}^2 + {({y}_2 - {y}_1)}^2} = r\)

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Answer: B

Step-by-step explanation:

The fourth-order accurate finite difference approximation is:

u00(x) = c−2u(x − 2h) + c−1u(x − h) + c0u(x) + c1u(x + h) + c2u(x + 2h) + O(h4).

Compute the coefficients using the matlab code fdstencil.m and check that they satisfy the system you determined in part (a).

Test this finite difference formula to approximate u

00(1) for u(x) = sin(2x) with values of h from the array hvals = log space(-1, -4, 13). Make a table of the error vs. h for several values of h and compare against the predicted error from the leading term of the expression printed by  fdstencils.

You should observe the predicted accuracy for larger values of h. For smaller values, numerical cancellation in computing the linear combination of u values impacts the accuracy observed.

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The expression f(x) - g(x) can be simplified to 21x³ + 2 - 5x - 1 - 8x¹ + 21³ - 5a - 1 + 8r7.

To find the expression f(x) - g(x), we substitute the given functions f(x) and g(x) into the expression and simplify.

f(x) = 3x + 7 + 8x

g(x) = -x + 12a - 1 - 212³

Substituting these functions into the expression f(x) - g(x), we get:

f(x) - g(x) = (3x + 7 + 8x) - (-x + 12a - 1 - 212³)

Simplifying the expression within the parentheses, we have:

f(x) - g(x) = 3x + 7 + 8x + x - 12a + 1 + 212³

Combining like terms, we get:

f(x) - g(x) = 21x + 8 - 12a + 1 + 212³

Simplifying further, we have:

f(x) - g(x) = 21x + 9 - 12a + 212³

In the given answer options, none of them match the simplified expression. Therefore, the correct expression for f(x) - g(x) is 21x + 9 - 12a + 212³. Note: The expression h(z) = 82³ + 12r + 6x² - 142 is not relevant to the computation of f(x) - g(x) and does not affect the result.

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Answer:

45

Step-by-step explanation:

if l=9 , w is 5

then area is 9*5=45

if l=7 , w is 7

then area is 7*7=49

49 is greater than 45

but it is not a rectangle. It is a square.

Therefore the correct answer is 45.

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2 + b^2 = c^2

4^2 + y^2 = 21^2

16 + y^2 = 441

y^2 = 441 - 16

y^2 = 425

\(y = \sqrt{425}\)

\(y = 5\sqrt{17}\)

y = 13.2

a^2 + b^2 = c^2

4^2 + x^2 = 7^2

16 + x^2 = 49

x^2 = 40 - 16

x^2 = 33

x = \(\sqrt{33}\)

x = 5.7 m

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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The random variable x, which represents the amount of rain (in inches) that fell this spring, is a continuous random variable.

In this context, a continuous random variable is one that can take on any value within a certain range. The amount of rain can be measured with different levels of precision, such as 2.5 inches or 2.5342 inches, indicating that there is an infinite number of possible values between any two given points.

On the other hand, a discrete random variable would involve countable outcomes or a finite number of possible values. For example, if we were counting the number of rainy days during the spring, the random variable would be discrete since it can only take whole number values.

In the case of measuring the amount of rain, there can be infinitely many possible values within any given range, and therefore, it is considered a continuous random variable. So, the correct answer is option A.

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The complete question is:

Decide whether the random variable x is discrete or continuous. Explain your reasoning Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below.

A. Continuous, because x is a random variable that cannot be counted.

B. Discrete, because x is a random variable that can be counted.

P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To find the probability that at least 200 out of 210 college graduates under age 20 are employed, we can use the binomial distribution formula:
P(X ≥ 200) = 1 - P(X < 200)
where X is the number of employed college graduates under age 20 out of a sample of 210.
We know that the unemployment rate for college graduates under the age of 20 is 7%. Therefore, the probability of an individual college graduate being unemployed is 0.07.
To find the probability of X employed college graduates out of 210, we can use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (210), k is the number of employed college graduates, and p is the probability of an individual college graduate being employed (1-0.07=0.93).
We want to find P(X < 200), which is the same as finding P(X ≤ 199). We can use the cumulative binomial distribution function on a calculator or software to find this probability:
P(X ≤ 199) = 0.000000000000000000000000000001004 (very small)
Therefore, P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

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