Which shows the image of quadrilateral ABCD after the transformation Ro, 90°?

Answer:

You find it by finding the dimensions of the X up and down, and Y left and right

Step-by-step explanation:

Answer:

some advantages is that you can not pay all at once some disadvantage is that you can feel like you can. do that always then you can get late fees that can cost more the the product it self

Answer:

Step-by-step explanation:

To increase the difference between 456.674 and 234.458 by 345.856, we follow the following steps :

Step 1: Subtract 456.674 from 234.458 and,

Step 2:  Add 345.856 to the result.

so,  456.674 - 234.458 = 222.216

222.216 + 345.856 = 568.072

Therefore, the increased difference between 456.674 and 234.458 by 345.856 is 568.072

Therefore, the Fourier series representation of f(x) = π - x on the interval -π < x < π is: f(x) = π/2 + Σ((2/π^2) * [(-1)^n - 1.

To find the Fourier series of the function f(x) = π - x on the interval -π < x < π, we can use the standard Fourier series formulas for periodic functions.

The Fourier series representation of f(x) can be expressed as:

f(x) = a₀/2 + Σ(aₙcos(nx) + bₙsin(nx))

where a₀, aₙ, and bₙ are the Fourier coefficients.

To determine the Fourier coefficients, we need to calculate the following integrals:

a₀ = (1/π) * ∫[-π, π] f(x) dx

aₙ = (1/π) * ∫[-π, π] f(x) * cos(nx) dx

bₙ = (1/π) * ∫[-π, π] f(x) * sin(nx) dx

Let's calculate these coefficients step by step:

a₀:

a₀ = (1/π) * ∫[-π, π] (π - x) dx

= (1/π) * [πx - (x^2/2)] | from -π to π

= (1/π) * [ππ - (π^2/2) - (-ππ + (π^2/2))]

= (1/π) * [π^2 - π^2/2 + π^2 - π^2/2]

= π

aₙ:

aₙ = (1/π) * ∫[-π, π] (π - x) * cos(nx) dx

= (1/π) * ∫[-π, π] πcos(nx) - xcos(nx) dx

= (1/π) * [π * (sin(nx)/n) - ∫[-π, π] xcos(nx) dx]

= (1/π) * [π * (sin(nx)/n) - [x * (sin(nx)/n^2) + (cos(nx)/n^2)] | from -π to π

= (1/π) * [π * (sin(nx)/n) - [π * (sin(nx)/n^2) + (cos(nx)/n^2) - (-π * (sin(nx)/n^2) + (cos(nx)/n^2))]]

= 0

bₙ:

bₙ = (1/π) * ∫[-π, π] (π - x) * sin(nx) dx

= (1/π) * ∫[-π, π] πsin(nx) - xsin(nx) dx

= (1/π) * [-π * (cos(nx)/n) - ∫[-π, π] xsin(nx) dx]

= (1/π) * [-π * (cos(nx)/n) - [-x * (cos(nx)/n^2) + (sin(nx)/n^2)] | from -π to π

= (1/π) * [-π * (cos(nx)/n) - [-π * (cos(nx)/n^2) + (sin(nx)/n^2) - (-π * (cos(nx)/n^2) + (sin(nx)/n^2))]]

= (2/π^2) * [(-1)^n - 1]

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Answer:

The ordered pairs are;

A(3, 4), B(-3, 2), C(-2, -4), D(6, -3), and E(0, 0)

Step-by-step explanation:

An ordered pair is the coordinate definition of a point on a coordinate plane that gives the x and y values of the coordinate of the point within parenthesis separated by a comma

An ordered pair provides a visual designation of points located on a Cartesian plane.

The coefficient of determination in this scenario is 0.747, which means that approximately 74.7% of the variation in the dependent variable is explained by the independent variable(s). The remaining 25.3% is unexplained and may be due to other factors or errors in the model.

The coefficient of determination, also known as R-squared, is a statistical measure that represents the proportion of the variation in the dependent variable that is explained by the independent variable(s).

It is calculated as 1 - (SSE/SST).

Given that the SST is 225 and SSE is 57, we can calculate the coefficient of determination as follows:

R-squared = 1 - (SSE/SST)
R-squared = 1 - (57/225)
R-squared = 0.747

Therefore, the coefficient of determination in this scenario is 0.747, which means that approximately 74.7% of the variation in the dependent variable is explained by the independent variable(s).

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Answer:

Rounding to the nearest centimeter, we get p ≈ 57 cm.

Step-by-step explanation:

We are given a triangle ΔPQR with r = 38 cm, m∠P = 49°, and m∠Q = 127°. We are asked to find the length of side p.

First, let's find m∠R:

m∠R = 180° - (m∠P + m∠Q)

m∠R = 180° - (49° + 127°)

m∠R = 180° - 176°

m∠R = 4°

Now, we have all three angles of the triangle: P = 49°, Q = 127°, and R = 4°. We can use the Law of Sines to find the length of side p:

p/sin(P) = r/sin(R)

Let's plug in the known values:

p/sin(49°) = 38/sin(4°)

Now, solve for p:

p = (sin(49°) * 38) / sin(4°)

p ≈ 56.96 cm

Rounding to the nearest centimeter, we get p ≈ 57 cm.

To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

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The travel time x is 41.162 min such that 17.36% of the 60 days have a travel time that is at least x.

We have to determine the travel time such that 17.36% of the 60 days have a travel time that is at least.

Total work days to work = 60 days

The travel mean time = 35.6

Standard deviation = 10.3

For normal distribution,

P(X < A) = P(Z < (A - mean)/standard deviation)

P(X > x) = 0.2946

P(X < x) = 1 - 0.2946 = 0.7054

P(Z < (x - 35.6)/10.3) = 0.7054

Take the z value that corresponds to 0.7054 in the table of the standard normal distribution.

(x - 35.6)/10.3 = 0.54

x = 41.162 min

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Answer:

Step-by-step explanation:

Equation of circle: (x - h)² + (y - k)² = r²   where (h,k) is the center.

Center( -4 , 4) and r = 5

(x -[-4])² + (y - 4)²= 5²

(x + 4)² + (y-4)² = 25

x²  + 2*4*x +4²  + y²  - 2*y*4 + 4²  = 25

x²  +8x + 16 + y²  - 8y + 16 = 25

x²  + 8x + y²  - 8y + 16 + 16 -25 = 0

x²  + 8x + y²  - 8y +7 = 0

We have that the an equation of a circle given the center (-4,4) and radius r=5  is mathematically given as

(x-4)^2+(y-4)^2=5^2

Question Parameters:

Given the center (-4,4) and radius r=5

Generally the equation for the Equation of a circle   is mathematically given as

(x-x')^2+(y-y')^2=r^2

Therefore, The resultant equation will be

(x-x')^2+(y-y')^2=r^2

(x-4)^2+(y-4)^2=5^2

Hence,an equation of a circle given the center (-4,4) and radius r=5 is

(x-4)^2+(y-4)^2=5^2

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The area of the shaded region is 0.785 square units.

To find the shaded area between the circle and the square.

To begin, let's find the area of the square. A square with sides of 1.2 units has an area of 1.44 square units.

Now let's find the area of the circle. The radius of the circle is half the diameter, which is 1.75 units. The area of the circle is πr² = π(1.75)² ≈ 9.616 square units.

Now, we need to find the area of the shaded region by subtracting the area of the square from the area of the circle: 9.616 - 1.44 = 8.176 square units.

However, this is not the shaded region as the square is intersecting the circle. If we subtract the area of the unshaded region from the total area of the shaded region, we will get the area of the shaded region.

The unshaded area is the area of the square not covered by the circle, which is 0.435 square units. Thus, the area of the shaded region is

9.616 - 1.44 - 0.435 = 7.741 square units.

Finally, the area of the shaded region is approximately 0.785 square units.

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The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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(A) The basis in which the space work is done is around 2. The powers of 10's logarithmic values can be used to determine this. (b) They could have two fingers for each hand, giving infants a total of five fingers.

a. The space creatures are most likely employed in a base other than base 10. The values of log 10, log 100, and log 1000 do not match the expected values for base 10, which should be 1, 2, and 3, respectively. Instead, the values given indicate that the base is slightly less than ten, because log 10 is less than one, log 100 is less than two, and log 1000 is less than three.

To be more specific, using the calculator's approximation, we can use the change of base formula to find the value of log base b for each of these numbers:

log base b of 10 = log 10 / log b ≈ 0.926628408

log base b of 100 = log 100 / log b ≈ 1.853256816

log base b of 1000 = log 1000 / log b ≈ 2.779885224

By dividing the known values of log 10, log 100, and log 1000, we can find log b:

0.473606797 log b = log 1000 / log 100

As a result, the space creatures are most likely based on 9.526.

b. It is impossible to determine how many fingers the space creatures have based solely on the calculator information and logarithm values. The space creatures' base could be related to the number of fingers they have, but we don't have enough information to tell.

The inverses of exponential functions, or those that "undo," the exponential functions, are the logarithmic functions.

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Answer:

There is no table below, so how to figure it out? Huh???

Step-by-step explanation:

Answer:

a. 2

c. efx = 20 = 2.22

x. 9

b.1/2×20 = 10

Step-by-step explanation:

it is 2 because it has the highest frequency

the solution w = -36 is correct

The given equation is w/4 + 16 = 7.The main objective here is to solve for the variable w. Let us see the step-by-step process to solve for w:

Step 1: Simplify the left side of the equation by subtracting 16 from both sides. w/4 + 16 = 7 ⇒ w/4 = -9The justification for subtracting 16 from both sides is the additive inverse property of equality, which states that if a = b, then a - c = b - c for any real number c.

Step 2: Multiply both sides of the equation by 4 to isolate w. w/4 = -9 ⇒ (4)(w/4) = (4)(-9) ⇒ w = -36The justification for multiplying both sides of the equation by 4 is the multiplication property of equality, which states that if a = b, then ac = bc for any real number c.

Step 3: Check the solution. Substitute -36 for w in the original equation to make sure it satisfies the equation. w/4 + 16 = 7 ⇒ (-36)/4 + 16 = 7 ⇒ -9 + 16 = 7 ⇒ 7 = 7Since 7 = 7 is a true statement, . The justification for this step is that it ensures that the solution obtained in the previous step is valid.

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Answer:

Step-by-step explanation:

3x+5=5x+7

-2x =2

x=-1

y=2

Answer:

256 ft^3

Step-by-step explanation:

Volume of pyramid = 1/3  base area * height

                                 = 1/3  96 ft^2   * 8  ft  = 256 ft^3

The cost of per hour bike use is $5.56 when it costed $50 to rent a bike for 9 hours.

According to the question,

We have the following information:

It costed $50 to rent a bike for 9 hours.

Now, we can easily find the cost of per hour bike use by dividing the total cost by the number of hours.

So, we have the following expression:

9 hours = $50

1 hour = 50/9

1 hour = $5.56

(Note that this is the approximate cost after rounding off the obtained result.)

Hence, the cost of per hour bike is $5.56.

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Answer:

The reference angle for 155° is 25°

Step-by-step explanation:

The reference angle is the angle that the angle arm makes with the x-axis be it clock wise or anti-clock wise.

The reference angles are obtained by the following reference

0 - 90° => Angle

90° - 180° => 180 - angle

Our given angle is: 155° so we will use the second rule

The reference angle will be:

180° - 155° = 25°

Hence,

The reference angle for 155° is 25°

Answer:

Sam Houston

Step-by-step explanation:

Answer:

Answer option C: Sam Houston

Answer:

45

Step-by-step explanation:

This can be solved by substituting the output of function g in function f.

The expression that is equivalent to \((f\circ g)(x)\) is \(3x^2 + 5\)

Function of function, as the name suggests, are functions applied over functions themselves. This is also called function composition.

We have input. We apply one function on that input. Then we apply another function on the output obtained by the first function. This whole function application on first input is called function of functions. The resultant function which maps the input x to the final output is called function of function.

If first function is g( and the other function is f, then we can write the resultant function of function as  \((f\circ g)(x)\) where the x is the input to first function.

Thus, we have;

\((f\circ g)(x) = f(g(x))\)

We will put whatever g(x) outputs as input to f.

Thus,

\(g(x) = x^2 + 1\\\\ f(x) = 3x + 2\\\\ (f\circ g)(x) = f(g(x)) = 3(g(x)) + 2 = 3( (x^2 + 1) ) + 2 = 3x^2 + 3 + 2 = 3x^2 + 5\\\\ (f \circ g)(x) = 3x^2 + 5\)

Thus, the expression that is equivalent to \((f\circ g)(x)\) is \(3x^2 + 5\)

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The value of y'' at the point where x=0 is\(9 e y^{\prime \prime}=\frac{1}{9 e}$\) (\(e^{2}\))

Differentiation is one of the two important concepts apart from integration. Differentiation is a method of finding the derivative of a function. Differentiation is a process, in maths, where we find the instantaneous rate of change in function based on one of its variables. The most common example is the rate change of displacement with respect to time, called velocity. The opposite of finding a derivative is anti-differentiation.

If x is a variable and y is another variable, then the rate of change of x with respect to y is given by dy/dx. This is the general expression of derivative of a function and is represented as f'(x) = dy/dx, where y = f(x) is any function.

\($x y+9 e^y=9 e$\)

at \(x =0\)

\($9 e^y=9 e$\)

\($y=1$\)

\($w \cdot r . t x$\)

\($\left(y+x y^{\prime}\right)+9 e^y y^{\prime}=0\)

at \(x=0\)

\($1+9 e y^{\prime}=0$\)

\($y^{\prime}=-\frac{1}{9 e}$\)

\($--------$\)

\($\left(y+x y^{\prime}\right)+9 e^y y^{\prime}=0$\)

\(y^{\prime}+x y^{\prime \prime}+y^{\prime}+9 e^y y^{\prime \prime}+9 e^y\left(y^{\prime}\right)^2=0\)

at \(x=0\)

\(2\left(-\frac{1}{9 e}\right)+9 e y^{\prime \prime}+9 e\left(-\frac{1}{9 e}\right)^2=0\)

\(-\frac{2}{9 e}+9 e y^{\prime \prime}+\frac{1}{9 e}=0\)

\(9 e y^{\prime \prime}=\frac{1}{9 e}$\)\(\left(e^2)\right\)

Therefore, the value of y'' at point where x=0 is \(9 e y^{\prime \prime}=\frac{1}{9 e}$\)  (\(e^{2}\))

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Answer:

  $2572.22

Step-by-step explanation:

You want the value of an investment of $2000 after 7 years when it earns interest at 3.6% compounded monthly.

The formula for the account value earning compound interest is ...

  A = P(1 +r/n)^(n·t)

You have P=2000, r=0.036, n=12, t=7, so the account value is ...

  A = $2000(1 +0.036/12)^(12·7) ≈ $2572.22

Answer:

0=0

Step-by-step explanation:

Answer:

[-1,5]

Step-by-step explanation:

all reals between -1 and 5

If a semicircle is rotated about the x axis of the graph then the resulting three dimensional shape will be a sphere.

Given a semicircle on a graph.

A semicircle is a half circle .A sphere is a geometrical object that is a three dimensional  shape , It is the set of points that are all at the same distance r from given point in three dimensional shape.

Rotation is basically an action of rotating around an object or an axis.

If a semicircle is rotated about x axis then the resulting figure will be a sphere. This is because of the fact that when the semi circle is rotated about the x axis then all the points will be at equal distance in all directions from the center.

Hence if a semicircle is rotated about x axis then the resulting figure will be a sphere.

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