Determine the projection subspace for the highest-valued feature
by applying Linear discriminant analysis (LDA) for the
two-dimensional feature matrix and class values ​​given on the
right.

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -5 and b = 286.

x = -b/2a

x = -286/(2(-5))

x = 28.6

So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).

Therefore, the widgets should be sold for $28.60 to maximize the company's profit.

Hope I helped ya...

Answer:

29 cents

Step-by-step explanation:

The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:

\(y=-5x^2+286x-2275\)

The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.

The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:

\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)

For the given equation, a = -5 and b = 286.

Substitute these into the formula:

\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)

\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)

\(\implies x_{\sf vertex}=\dfrac{286}{10}\)

\(\implies x_{\sf vertex}=28.6\)

Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.

Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.

To find the maximum volume of a cylinder inscribed in a sphere of radius r, we need to use optimization techniques. The cylinder should be such that its height is equal to its diameter and both should be equal to the diameter of the sphere. This means that the cylinder should be a cube with its diagonal equal to the diameter of the sphere.

Let the diameter of the sphere be 2r. The diagonal of the cube is equal to the diameter of the sphere, so its side is r√3. The volume of the cube is (r√3)^3 = 27r^3.

Since the cylinder is inscribed in the sphere, its radius is r and its height is 2r. The volume of the cylinder is πr^2(2r) = 2πr^3.

To maximize the volume of the cylinder, we need to differentiate the volume equation with respect to r and set it equal to zero:

d/dx (2πr^3) = 6πr^2 = 0

This gives us r = 0, which is not a valid solution. Therefore, the maximum volume of the cylinder inscribed in the sphere of radius r is 2πr^3, when the cylinder is a cube with its diagonal equal to the diameter of the sphere.

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The area of the segment of the circle is 13.9cm²

To calculate the area of segment of the circle, we can use the formula which is given as;

A = (1/2) * r² * [(π/180)θ - sinθ]

In the problem, our data given are;

Substituting the values into the formula;

A = (1/2) * 6² * [(π/180)45 - sin45]

A = 0.5 * 36 * [(3.14/180)45 - sin45]

A = 0.5 * 36 * 0.773

A = 13.9cm²

The segment area is 13.9 squared meters

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To multiply a polynomial by a monomial, you must first identify the terms in the polynomial, as well as the factors in the monomial. Once you have identified the components, use the distributive property to multiply each term of the polynomial by the monomial. Then, combine like terms and simplify the resulting polynomial.

For example:

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Answer:

x=5

Step-by-step explanation:

2(−4x + 5) - 4x + 1 = -49

-8x + 10 - 4x + 1 = - 49

-12x +11 = - 49

- 12x = - 49 - 11

- 12x = - 60

12x = 60

x = 5

4x + 2y = -18

2x + y = -9

y = -2x - 9

Answer:

Well, in the local reservoir we have an initial amount of water A.

And per hour, the amount of water in the reservoir decreases by 500 gals.

So after t hours, the amount of water in the reservoir is:

W = A - 500gal*t

This is a linear equation, so the model that fits best in the given situation is a linear model.

Where the only thing that you need to take in mind, is that the domain of this model is restricted:

This is because we can not have a negative amount of water in the reservoir, so the maximum value of t accepted is:

W = 0 = A - 500gal*t

t = A/500 hours

So the domain of this linear relation is:

t ∈ {0h, A/500 }

Answer: lin

Step-by-step explanation:

To solve the given third-order linear homogeneous differential equation, we can use the method of finding the characteristic equation and its roots. Let's denote y(x) as the solution to the equation.  Answer :  1,7,-31

The characteristic equation is obtained by substituting y(x) = e^(rx) into the differential equation, where r is an unknown constant. Plugging this into the equation, we get:

r^3 - 3r^2 - r + 3 = 0

To solve this equation, we can use various methods, such as factoring, synthetic division, or numerical methods. By applying these methods, we find that the roots of the characteristic equation are r = -1, r = 1, and r = 3.

Since we have distinct real roots, the general solution for y(x) can be expressed as a linear combination of exponential functions:

y(x) = C1e^(-x) + C2e^x + C3e^(3x)

To find the specific solution for the given initial conditions, we can substitute the values of x = 0, y(0) = 1, y'(0) = 7, and y''(0) = -31 into the equation and solve for the unknown coefficients C1, C2, and C3.

Using the initial condition y(0) = 1, we get:

C1 + C2 + C3 = 1

Using the initial condition y'(0) = 7, we get:

-C1 + C2 + 3C3 = 7

Using the initial condition y''(0) = -31, we get:

C1 + C2 + 9C3 = -31

Solving this system of linear equations, we can find the values of C1, C2, and C3. Substituting these values back into the general solution, we obtain the specific solution for y(x).

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Answer:

GH

Step-by-step explanation:

A secant is a straight line which cuts the circle at 2 points

GH and FE both do this but FE is a special secant, that is the diameter

Then GH is a secant

Answer: well she has 3 bro's plus her is 4 peeps and 2 braces 27.32x2=54.64  10x4=40 so theygot 40 dollars and 52.64-40=14.64

Step-by-step explanation:

Answer:

14.64

Step-by-step explanation:

54.64 - 40.00 = 14.64 beacuse 2 x 27.32 = 54.64 and the each have 10 bucks and there are 4 people so 40 bucks.

Answer:

22 > x > 10

Step-by-step explanation:

By the triangle inequality, the length of the 3rd side must be less than the sum of the two other sides and greater than the positive difference of the other two sides.  Thus, 6 + 16 > x > 16 - 6

22 > x > 10

Answer

y = 32

Step-by-step explanation:

Let's solve your equation step-by-step.

0.3y+0.4(25−y)=6.8

Step 1: Simplify both sides of the equation.

0.3y+0.4(25−y)=6.8

0.3y+(0.4)(25)+(0.4)(−\(\frac{-0.1y}{-0.1} =\frac{-3.2}{-0.1}\)y)=6.8(Distribute)

0.3y+10+−0.4y=6.8

(0.3y+−0.4y)+(10)=6.8(Combine Like Terms)

−0.1y+10=6.8

−0.1y+10=6.8

Step 2: Subtract 10 from both sides.

−0.1y+10−10=6.8−10

−0.1y=−3.2

Step 3: Divide both sides by -0.1.

-0.1y/-0.1=-3.2/-0.1

y=32

I hope this helps?

Answer:a

Step-by-step explanation:

A

Triangle XYZ is rotated 180° clockwise to form triangle X'Y'Z'.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation

If a point A(x, y) is rotated 180° rotation, the new point is at A'(-x, -y).

Triangle XYZ is rotated 180° clockwise to form triangle X'Y'Z'.

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A) The rearranged formula is:

r = d/t

B) Using the above formula we can see that the rate is 25,000 m/h.

C) Here we have the linear equation:

d = (25,000 m/h)*t

Here we need to use the formula:

distance = rate*time.

To solve this formula for the rate, we need to divide both sides by the time, so we will get:

rate = distance/time.

Writing this with the given variables:

r = d/t.

b) Now we know that the distance is 800,000 meters and the time is 4 hours, then the rate will be:

r = 100,000m/4h = 25,000 m/h

The rate is 25,000 meters per hour.

c) Now we wil get the linear equation:

d = r*t

d = (25,000 m/h)*t

This linear equation gives the distance traveled in a time t.

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Part A:

Rearrange the distance formula, d = rt, to solve for rate. The distance formula is given by d = rt, where d is the distance traveled, r is the rate at which the distance is being traveled, and t is the time taken to travel the distance.
To solve for rate, we can rearrange the formula as follows: d = rt d/t = r [dividing both sides by t] r = d/t

Therefore, the formula for rate is r = d/t.

Part B: Find the falcon's rate in meters per hour. Given that the falcon flies 800,000 meters in 4 hours, we can use the formula for rate to find its speed. r = d/t r = 800,000/4 r = 200,000 meters per hour.

Therefore, the falcon's rate is 200,000 meters per hour.

Part C: Rearrange the distance formula, d = rt, to solve for time. To solve for time, we can rearrange the formula as follows: d = rt t = d/r [dividing both sides by r]

Therefore, the formula for time is t = d/r.

Answer:

yes of course you can make a triangle

Answer:

No

Step-by-step explanation:

A triangle has ALL equal sides but since it's 3,8,8 you can't because not all side are equal

The area of the new rectangle is 9 times the previous area and the perimeter of the new rectangle is 3 times the previous area

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

(-1, 2), (-1, -4), (3, -4), and (3, 2).

See attachment for the points, where we have

Length = 4 and width = 6

Using area and perimeter formulas, we have

Area = 4 * 6 = 24

Perimeter = 2 * (4 + 6) = 20

Here, we have

New = (-3, 6), (-3, -12), (9, -12), and (9, 6).

See attachment for the points, where we have

Length = 12 and width = 18

Using area and perimeter formulas, we have

Area = 12 * 18 = 216

Perimeter = 2 * (12 + 18) = 60

The area of the new rectangle is 9 times the previous area

i.e. 216/24 = 9

The perimeter of the new rectangle is 3 times the previous area

i.e. 60/20 = 3

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Answer:

8.06/65

Step-by-step explanation:

4^2+7^2=8.06^2

16+49=65

Answer:

square root of 65

Step-by-step explanation:

4^2 + 7^2 = x^2

16+ 49= x^2

x^2 = 65

x= sqrt 65

Answer:

$5.44

Step-by-step explanation:

There are many ways, but to fully explain it, we will lay it out like this:

Ratios:

\(\frac{1}{1.36} =\frac{4}{x}\)

Top units = £

Bottom units = $

Cross multiply:

x = 5.44

$5.44

We can also simplify it by multiplying 1.36 by 4.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

5.44 dollars

Step-by-step explanation:

£1 = $1.36 dollars

£4= $5.44 dollars

$1.36 x £4 = $5.44

True. The mathematical equations that describe simple harmonic motion (SHM) involve sine and cosine functions. For example, if the block is released at a distance from its equilibrium position, its displacement x varies with time t according to the equation x = a cos(ωt), where ω is the angular frequency of the motion.

True. Due to the periodic properties of Simple Harmonic Motion (SHM), the mathematical equations that describe this motion involve sine and cosine functions. If the block is released at a distance A from its equilibrium position, its displacement x varies with time t according to the equation:

x(t) = A * cos(ωt + φ)

where A is the amplitude, ω is the angular frequency, t is time, and φ is the phase angle. Both sine and cosine functions are used to describe the displacement, velocity, and acceleration of an object in SHM because of their periodic nature.

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Answer:

(2x + 7)(5y + 4)

Step-by-step explanation:

\(5y(2x + 7) +4(2x + 7) \\ \\ = (2x + 7)(5y + 4)\)

Answer:

(2 x 3 x \(13x^6\)\(Y^{4\))

Step-by-step explanation:

The equation which shows how to find the height in inches of based on the screen's width is; h=2w

According to the taks content!

The ratio of the height of the screen to its width is 18:9.

On this note, it follows that;

h/w = 18/9

By making the h the subject of the formula;

h = 18w/9

h = 2w.

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The length of GH is 21 units.

The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

HI * GI = JI * KI

Since KJ is 5 more than GH, we can say:

KJ = GH + 5

KI = KJ + JI

KI = GH + 5 + 46 = GH + 51

From the figure:

GI = GH + HI

Substituting into:

HI * GI = JI * KI

HI * (GH + HI) = JI * (GH + 51)

48 * (GH + 48) = 46 * (GH + 51)

48GH + 2304 = 46GH + 2346

48GH - 46GH =  2346 - 2304

2GH = 42

GH = 42/2

GH = 21 units

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Complete Question

Check attached image

A regular polygon with an interior angle of 172 degrees has 20 sides.

The formula to find the measure of an interior angle of a regular polygon is:

Interior angle = (n-2) x 180 / n

where n is the number of sides of the polygon.

Setting the equation equal to 172 and solving for n, we get:

172 = (n-2) x 180 / n

172n = 180n - 360

8n = 360

n = 45

Therefore, the regular polygon has 45 sides, but since the question asks for a regular polygon, all sides must be equal and all interior angles must be congruent. The only regular polygon that satisfies these conditions with an interior angle of 172 degrees is a regular 20-sided polygon.

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The equation, that Sebastian can use to find p, the number of pencils each friend will receive is given by: Option C: 6p = 30

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we're given that:

Now, that means, if we collect all those p pencils, then they should be 30 in count.

Sum of pencils from 6 friends = p + p + p + p + p + p = 30

or

\(6 \times p = 30\) (since p was added 6 times itself, so we write it as 6 times p)

we don't write the "×" sign, (Using sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together) Thus, the equation is 6p = 30 (well both equations are same).

Thus, the equation, that Sebastian can use to find p, the number of pencils each friend will receive is given by: Option C: 6p = 30

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Answer:C

Step-by-step explanation:

Answer:

C. No, because the sides aren't congruent

Step-by-step explanation:

The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

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