"Marty purchased a car. The car cost him $16,500 and it depreciates in value at a rate of 4.3% per year. How much will the car be worth in 12 years?"​

A right-angled Triangle with a base of 5 cm and a hypotenuse of 11 cm. Measure the angle opposite the base using a protractor to obtain the nearest degree measurement.

To construct a right-angled triangle with a base of 5 cm and a hypotenuse of 11 cm, follow these steps:

1. Start by drawing a straight line using a ruler. This will serve as the base of the triangle. Label the endpoints as A and B.

2. Use a compass to draw a circle with a radius of 11 cm, centered at point A. This circle will intersect the base at point C and define the hypotenuse of the triangle.

3. With the compass still set to the radius of 11 cm, draw another circle centered at point C. This circle will intersect the first circle at point D.

4. Connect points B and D with a straight line segment. This line will be perpendicular to the base AB and will form the height of the triangle.

5. Measure the length of the line segment BD using a ruler. If it measures 5 cm, then you have successfully constructed a right-angled triangle with the given dimensions.

6. To find the angle opposite the base, use a protractor to measure the angle at point B. Place the center of the protractor at point B and align the base line AB with the zero-degree mark. Read the angle measurement at the intersection of the protractor and the line segment BD. Round the measurement to the nearest degree.

The angle opposite the base can vary depending on the accuracy of the construction. Measure the angle using the protractor and record the nearest degree measurement.

When performing geometric constructions and providing measurements, it is important to ensure academic integrity and avoid plagiarism. Plagiarism involves using someone else's work or ideas without proper attribution. To maintain originality, it is necessary to express the information in your own words and provide accurate measurements based on the construction process.

In conclusion, by following the steps  construct a right-angled triangle with a base of 5 cm and a hypotenuse of 11 cm. Measure the angle opposite the base using a protractor to obtain the nearest degree measurement.

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Answer: 84π √(17) (rounded to 3 significant figures)

a) To find the arc length of the given curve we need to first evaluate the derivative of y w.r.t. x:dy/dx = 4. The arclength of the curve is given by L = ∫√(1+(dy/dx)^2) dx The value of dy/dx is already given and hence we can substitute the value and integrate .L = ∫√(1+(4)^2) dx = ∫√(17) dx Between the limits z = 1 and 2, x varies from 9 to 13. We need to substitute these values in the integral. L = ∫√(17) dx = √(17) * [x]9^13= √(17) * [13 - 9]= 4 √(17)Answer: 4√17 (rounded to 3 significant figures)

b) The area of the surface of revolution, A, that is obtained when the curve is rotated by 2 radians about the a-axis is given by:A = ∫2π * y √(1+(dy/dx)^2) dx We know that dy/dx = 4 and the value of y is given by 4x+5.A = ∫2π * (4x+5) √(1+(4)^2) dx= ∫2π * (4x+5) √(17) dx Between the limits z = 1 and 2, x varies from 9 to 13. We need to substitute these values in the integral. A = ∫2π * (4x+5) √(17) dx = 2π * √(17) * ∫(4x+5) dx= 2π * √(17) * [2x^2/2 + 5x]9^13= 2π * √(17) * [(26 + 60) - (18 + 20)]= 84π √(17)

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Answer:

N/A

Step-by-step explanation:

No figures below.

Step-by-step explanation:

the beginning number is the beginning of your range the last number is the end of your range

The animation function in Matlab can be used to visualize the standing wave that is written as(, ) = sin(z) sin (2). Here are the steps to do it:

Step 1: Define the values of x, y, and z coordinates. Let's say we assume the values of x, y, and z coordinates as follows:x = 0:0.01:1;y = 0:0.01:1;z = 0:pi/100:pi;

Step 2: Use meshgrid to create a grid of coordinates from the x, y, and z vectors. This creates a matrix of coordinates that can be used in the sin function. [X,Y,Z] = meshgrid(x,y,z);

Step 3: Use the sin function to calculate the values of the standing wave at each point in the grid. s = sin(Z).*sin(2*X);

Step 4: Use the animation function to visualize the standing wave as it oscillates. Here is the code for this:for i = 1:size(s,3) surf(s(:,:,i)) view(2) shading interp axis tight caxis([-1 1]) drawnow end

The animation function displays the standing wave as it oscillates in the z direction. The surf function is used to create a surface plot of the wave at each time step. The view function sets the camera view to 2D, and the shading interp function interpolates the colors between the vertices of the surface plot. The axis tight function sets the limits of the x, y, and z axis to the range of the data.

The caxis function sets the color scale to -1 to 1, which corresponds to the range of the sin function. The drawnow function updates the plot at each time step.

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Answer:

x = 25

Step-by-step explanation:

50 + 12x <_ 100

12x <_ 100 - 50

12x <_ 50

x <_ 50 / 12

x <_ 25

You can buy about 4 pizzas.

I didn't use the way that I probably should have but you can subtract 50 from 100 and then divide the 50 by 12 and you will get 4.1666667.

Answer:

x = 8

Step-by-step explanation:

Hope this helps have a great day

The inverse function is given by the set of points {(11, 2), (-4, 3), (-1, 4), (-14, 5), (1, 6)}, the domain of the inverse function is {11, -4, -1, -14, 1}, and the range of the inverse function is {2, 3, 4, 5, 6}.

To find the inverse of the one-to-one function defined by the given set of points {(2, 11), (3, -4), (4, -1), (5, -14), (6, 1)}, we need to swap the x-values with the y-values to obtain the reversed pairs of points.

The inverse function is {(11, 2), (-4, 3), (-1, 4), (-14, 5), (1, 6)}.

The domain of the inverse function is the set of all x-values from the original function, which in this case is {11, -4, -1, -14, 1}.

The range of the inverse function is the set of all y-values from the original function, which in this case is {2, 3, 4, 5, 6}.

Therefore, the inverse function is given by the set of points {(11, 2), (-4, 3), (-1, 4), (-14, 5), (1, 6)}, the domain of the inverse function is {11, -4, -1, -14, 1}, and the range of the inverse function is {2, 3, 4, 5, 6}.

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Answer:

What is the question?

I can't see any question.

Answer:

It's 40cm²

Step-by-step explanation:

Base times height.

Answer:

9 876 391

Step-by-step explanation:

arrange the numbers in ascending order

9 876 391

subtract 40 from the number

9876431 - 40

9 876 391

Answer:

4=3  5=10 6= YOu would add more dots accordingly 7=4

Step-by-step explanation:

hoped this helped!

Answer:

N+F=42 & F+3N=70 System Solved: Natalie is 14 and Fred is 28

Step-by-step explanation:

Using variables N=natalies age and F=Freds age

N+F=42 ----> N=42-F (take this and plug it into the other equation)

F+3N=70 so F+3(42-F)=70 [simplify] F+126-3F=70 [further simplify]

-2F=-56 [divide -56 by -2] F=28 [then plug this number into the orig. equation]

So N+28=42 or N=14.

Step-by-step explanation:

Add 4 to both sides: 5e^3x = 35, or

Answer:

2.07x2.4=4.968

Step-by-step explanation:

Answer:

4.968

Step-by-step explanation:

Answer:

C) 5x-70=105

Step-by-step explanation:

As marked in the graph, angle 105 and angle (5x-70) equal to each other because they are vertically opposite angles therefore we have equation C)

Answer:

14 because the radius is half the diameter

Step-by-step explanation:

Answer:

The answer should be D=14in

The Y-intercept (b_0 = 14) represents the predicted value of Y when X is zero.

In the given prediction line equation, Y_i = 14 - 0.2X_i, the Y-intercept is represented by the term '14', which is the coefficient of the constant term.

The Y-intercept, denoted as b_0, represents the predicted value of the dependent variable (Y) when the independent variable (X) is equal to zero. In this case, when X is zero, the equation becomes:

Y_i = 14 - 0.2(0) = 14

Therefore, the Y-intercept (b_0 = 14) represents the predicted value of Y when X is zero. It is the point where the prediction line intersects the Y-axis. In practical terms, it means that when the independent variable has no effect or has a value of zero, the predicted value of the dependent variable is 14.

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Answer: (4+1)*5=25; (25+1)*5=130; (130+1)*5=655.

Step-by-step explanation:

Answer:

67. 33 inches

Step-by-step explanation:

The eigenvalue of the state equation is -2 and the corresponding eigenvector is [0].

To obtain the eigenvalues and eigenvectors of the given state equation, we need to solve the characteristic equation.

The state equation is represented as follows:

[d/dt]x = -2x + 11u

y = 4x

To obtain the eigenvalues λ, we set up the characteristic equation:

|A - λI| = 0

Where A is the coefficient matrix, λ is the eigenvalue, and I is the identity matrix.

The coefficient matrix A is:

A = -2

The identity matrix I is:

I = 1

Substituting these values into the characteristic equation, we have:

|-2 - λ| = 0

Simplifying the equation, we get:

-2 - λ = 0

Solving for λ, we find:

λ = -2

So, the eigenvalue of the state equation is -2.

To obtain the eigenvector, we substitute the eigenvalue back into the equation (A - λI)x = 0.

For λ = -2, we have:

(-2 - (-2))x = 0

-2x = 0

Solving for x, we find:

x = 0

Therefore, the eigenvector corresponding to the eigenvalue -2 is [0].

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(a) y = cx⁵ and 5x² + y² = k are do not satisfy the conditions for orthogonality.

(b) x² + y² = 2cy and x² + y² = 2kx potentially represent families of orthogonal functions .

(c) x² = y² + c and y = kx potentially represent families of orthogonal functions .

a. y = cx⁵ and 5x² + y² = k: Definitely incorrect. The equation 5x² + y² = k represents an ellipse, whereas the equation y = cx⁵ represents a polynomial function. These two functions do not satisfy the conditions for orthogonality.

b. x² + y² = 2cy and x² + y² = 2kx: Potentially correct. Both equations represent circles in the xy-plane. However, for them to be orthogonal functions, the centers of the circles need to coincide at the origin (0, 0). If the centers are at the origin, then these equations can be potentially correct as orthogonal functions.

c. x² = y² + c and y = kx: Potentially correct. The equation x² = y² + c represents a hyperbola, and the equation y = kx represents a straight line passing through the origin. If the hyperbola is centered at the origin and the line passes through the origin, then these equations can be potentially correct as orthogonal functions.

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Answer:

4.5

Step-by-step explanation:

I just did this lesson and i just guessed, but i got it wrong and it said the answer was 4.5. basically, you multiply the fractions and the number value first,(like 1/6 X 0) and you do that to all of them. and then you add up all your answers, simplify them and put it in decimal form. and you get 4.5. hopefully that made enough sense.

Answer:

x = 1/2

Step-by-step explanation:

all of its sides are equal;

4x - 6 = 2x - 5

2x = 1 , x  = 1/2