A retailer sells a refrigerator for a list price of $1,200. The retailers cost was $850. What is the percentage of the markup?

Answer:

C. ΔABC was rotated to form ΔA'B'C'. The transformation is isometric.

Step-by-step explanation:

Did it on edge 2020 ;))))

It is isometric because all side lengths and angle measures remained the same.

What is Rotation ?

Rotation is a rigid transformation, This means that: after the transformation :

Figure A and figure B will have the same side lengths

Figure A and figure B will have the same measure of angles

A transformation is isometric if the transformed image has the same shape has the original image

By careful observation of ΔABC  and  ΔA'B'C':

AC is symmetrical with A'C'

AB  is symmetrical with A'B'

BC is symmetrical with B'C'

∠A  is symmetrical with ∠A'

∠B  is symmetrical with ∠B'

∠C is symmetrical with ∠C'

Since all the sides and angles are symmetrical after transformation, the transformation is isometric

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Based on the scenario above, the inequalities that can be graphed on the coordinate plane is y < 3x + 5.

In graphing inequalities, one can graph inequality on the coordinate plane.

Note that the solutions for a linear inequality can be seen in the area of the coordinate plane. The boundary line used are  > ,<, ≥ and ≤.

Note also that the  inequalities graphed on the coordinate plane known to be y < 3x + 5 is shown in the image attached. When you look at option A, B and D, you will see that they are incomplete and missing some values but option C gave the correct example of an inequalities.

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Answer:

2 inches

Step-by-step explanation:

it is ,2inches because they are joining

Completing the square – can be used to solve any quadratic equation. It is a very important method for rewriting a quadratic function in vertex form. Quadratic formula – is the method that is used most often for solving a quadratic equation.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Any quadratic problem may be solved by completing the square. It is a critical way for expressing a quadratic function in vertex form. The quadratic formula is the most often used method for solving a quadratic problem.

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The given expression "29g(x)" is ambiguous and does not provide enough information to determine the limit of g(x) as x approaches it. It is unclear what the relationship between 29 and g(x) is, as well as how it influences the behavior of the function.

To find the limit of a function as x approaches a specific value or expression, we typically examine the behavior of the function as x gets arbitrarily close to that value. However, in this case, the expression "29g(x)" does not provide enough context or mathematical significance to determine a meaningful limit.

Without further clarification or a more specific definition of the function g(x) and its relationship to the expression "29g(x)," it is not possible to calculate or determine the limit of g(x) as x approaches 29g(x).

It is important to provide clear and unambiguous mathematical expressions and definitions to accurately calculate limits and analyze the behavior of functions.

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Answer:

3.44827586

Step-by-step explanation:

1450:10,000::x:2

=10,000x=2900

x= 10,000

----------

2900

x=3.44827586 km

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

x>6;x>2 or just x>2 if u combine intervals

Step-by-step explanation:

x^2-8x+12>0

factor: (x-6)(x-2)>0

split: x-6>0; x-2>0

add 6 and 2: x>6;x>2

combine intervals: x>2

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Step-by-step explanation:

\(2 \sqrt{17} \)

Hope it can help you lovelots

A polygon is called non-convex if there are "dents" or indentations in it, where the internal angle is greater than 180 degrees.

In other words, a non-convex polygon is a polygon whose line segments intersect, creating an interior angle greater than 180 degrees. This is in contrast to a convex polygon, where all of the interior angles are less than 180 degrees and none of the line segments intersect.

Non-convex polygons can have a variety of shapes and sizes, and can be composed of any number of sides. However, they are generally more difficult to work with mathematically than convex polygons, and often require more advanced techniques to analyze and understand their properties.

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\(\frac15v+\frac3{10}v=\frac2{10}v+\frac3{10}v=\frac5{10}v=\frac12v\)

Answer:

2/5

Step-by-step explanation:

also=4/10

4/10

=2/5

Here, Matt is bringing 0.4 of cake.

For the denominator:

We are taking 1 for [.] decimal and take 0 for 4.

So, its fraction becomes 4/10=2/5 [if we divide both denominator and lobe by 2].

According to data analyst to have contrast is that the color scheme uses a range of different colors.

The graphic depiction of data and information is the focus of the interdisciplinary topic of data and information visualization. When interacting with large amounts of data or information, such as a time series, it is especially effective.

Contrast is the difference in luminance or color that helps you differentiate one thing from another. Contrast in visual perception of the real world is determined by the contrast between an object and other things in the same field of vision in terms of color and brightness.

Color vision deficiency is a diminished capacity to tell some colors apart.

Frequently, the condition is hereditary. Medications and specific eye conditions are additional factors. Men are affected more than women.

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Answer:

x = - 8/3

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

Since the altitude of an isosceles triangle drawn from its vertex angle bisects the base, we can use the pythagorean theorem to say that:

16^2 = x^2 + x^2

256 = 2x^2

128=x^2

x = 8sqrt2.

so the base has a length of 16sqrt2.

The area of the region inside the cardioid and outside the circle, above the x-axis, is (99π)/2 square units. This can be found using a double integral in polar coordinates.

To find the area, we need to set up a double integral in polar coordinates. The inner integral represents the bounds of the circle, and the outer integral represents the bounds of the cardioid.

First, we determine the bounds for θ. The cardioid and the circle intersect when 3 + 3 cos θ = 9 cos θ. Simplifying this equation gives cos θ = 3/6 or cos θ = 1/2. So, the bounds for θ are π/3 and π/6.

Next, we determine the bounds for r. For the circle, r ranges from 0 to 9 cos θ. For the cardioid, r ranges from 3 + 3 cos θ to 0. So, the bounds for r are 0 to 9 cos θ for the circle, and 3 + 3 cos θ to 0 for the cardioid.

Setting up the double integral, the area can be calculated as:

A = ∫[θ = π/6 to π/3] ∫[r = 3 + 3 cos θ to 9 cos θ] r dr dθ

Evaluating this integral will give the desired area. Simplifying and integrating, we arrive at (99π)/2 square units.

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Answer:

parallel lines

Step-by-step explanation:

im pretty sure this is it hope this helps

Answer:

Silk = x = 1.5 yards

Cotton = y = 2.75 yards

Step-by-step explanation:

x + y = 4.25

16.90x + 4y = 36.35

1. The solution to the equation represent number of yards of silk and number of yards of cotton bought.

2.

x + y = 4.25 (1)

16.90x + 4y = 36.35 (2)

Multiply (1) by 4

4x + 4y = 17 (3)

16.90x + 4y = 36.35 (2)

Subtract (3) from (2)

16.90x - 4x = 36.35 - 17

12.90x = 19.35

Divide both sides by 12.90

x = 19.35 / 12.90

= 1.5

x = 1.5 yards

Substitute x = 1.5 yards into (1)

x + y = 4.25

1.5 + y = 4.25

y = 4.25 - 1.5

= 2.75

y = 2.75 yards

Silk = x = 1.5 yards

Cotton = y = 2.75 yards

Answer:

y=1

Step-by-step explanation:

4x-2y=-10

4(-2)-2y=-10 *PLUG IN -2 FOR X*

-8-2y=-10     *ADD BOTH SIDES BY 8*

+8       +8

-2y=-2      *DIVIDE BY -2*

-2      -2

y=1

hope that helps  

To find the Legendre basis of the space of polynomials of degree 2 at most on the interval (0, 2), we first need to define the inner product for functions on this interval. The inner product between two functions f(x) and g(x) is given by:

⟨f, g⟩ = \(\int_{0}^{2} f(x)g(x) \, dx\)

Now let's proceed step by step:

a) Finding the Legendre basis:

The Legendre polynomials are orthogonal with respect to the inner product defined above. We can use the Gram-Schmidt process to find the Legendre basis.

Step 1: Start with the monomial basis.

Let's consider the monomial basis for polynomials of degree 2 or less:

{1, x, \(x^{2}\)}

Step 2: Orthogonalize the basis.

The first Legendre polynomial is simply the constant function scaled to have unit norm:

\(P₀(x) = \frac{1}{\sqrt{2}}\)

Next, we orthogonalize the second monomial x with respect to P₀(x). We subtract the projection of x onto P₀(x):

P₁(x) = x - ⟨x, P₀⟩P₀(x)

Calculating the inner product:

⟨x, P₀⟩

= \(\int_{0}^{2} x \cdot \frac{1}{\sqrt{2}} \, dx\)

= \(\frac{1}{\sqrt{2}} \cdot \frac{x^2}{2} \Bigg|_{0}^{2}\)

=\(\frac{1}{\sqrt{2}} \cdot \frac{2^2}{2} - \frac{0^2}{2}\)

= \(\frac{1}{\sqrt{2}}\\\)

Therefore,

P₁(x)

= \(x - \frac{1}{\sqrt{2}} \cdot \frac{1}{\sqrt{2}}\)

=\(x - \frac{1}{2}\)

Next, we orthogonalize the third monomial \(x^{2}\) with respect to P₀(x) and P₁(x). We subtract the projections of \(x^2\) onto P₀(x) and P₁(x):

P₂(x)

= \(x^2 - \langle x^2, P_0 \rangle P_0(x) - \langle x^2, P_1 \rangle P_1(x)\)

Calculating the inner products:

⟨\(x^2\), P₀⟩

=  \(\int_0^2 x^2 \cdot \frac{1}{\sqrt{2}} \, dx\)

= \(\frac{1}{\sqrt{2}} \cdot \frac{x^3}{3} \bigg|_0^2\)

\(= \frac{1}{\sqrt{2}} \cdot \frac{8}{3}\\= \frac{4}{3 \sqrt{2}}\)

⟨\(x^2\), P₁⟩

\(=\int_0^2 x^2 (x - \tfrac{1}{2}) \, dx\\=\int_0^2 (x^3 - \tfrac{1}{2} x^2)\\=\left[ \tfrac{x^4}{4} - \tfrac{x^3}{6} \right]_0^2\\=\frac{2^4}{4} - \frac{2^3}{6} - \frac{0}{4} + \frac{0}{6}\\=\frac{8}{4} - \frac{8}{6} = \frac{2}{3}\)

Therefore,

P₂(x)

\(=x^2 - \frac{4}{3\sqrt{2}} \cdot \frac{1}{\sqrt{2}} - \frac{2}{3}(x - \frac{1}{2})\\=x^2 - \frac{2}{3} - \frac{2}{3}(x - \frac{1}{2})\\=x^2 - \frac{2}{3} - \frac{2}{3}x + \frac{1}{3}\\=x^2 - \frac{2}{3}x - \frac{1}{3}\)

The Legendre basis

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Answer:

-7.05+2.0

Step-by-step explanation:

Answer:

Help with what?

Step-by-step explanation:

Answer:

B. h(x) = -3x + 4.

Step-by-step explanation:

I am assuming that the vertical shift is upwards,

A refection in the x axis gives -3x

Vertical shift upwards of 4 gives -3x + 4.

The Length of line AB is 6.71 units.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. The theorem can be used to determine how steep mountains or slopes are.

Given a line AB,

To calculate the length of the AB we need to imagine a vertical line at A and a horizontal line at B.

Both lines make a right-angle triangle with AB.

Such that,

the length of the triangle = 3

base of triangle = 6

So, from the Pythagorean theorem,

Hypotaneuse² = height² + base²

in our case,

AB² = 3² + 6²

Ab² = 9 + 36

AB² = 45

AB = √45 = 6.708 units

Therefore, the Length of the line AB is 6.71 units.

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The technique often used to prove the correctness of a recursive function is **mathematical induction**.

Mathematical induction is a method of proof used to establish that a property holds for all natural numbers (or a well-ordered set). It consists of two steps:

1. **Base Case**: The base case establishes that the property holds for a specific initial value or base case. It typically involves showing that the property is true for the smallest possible input or base case of the recursive function.

2. **Inductive Step**: The inductive step demonstrates that if the property holds for a specific value, it also holds for the next value. This step involves assuming that the property is true for a certain input, and then proving that it holds for the subsequent input using the recursive definition of the function.

By proving that the base case is true and showing that the inductive step holds, mathematical induction establishes the correctness of a recursive function for all valid inputs.

The other options you mentioned, such as commutativity, diagonalization, and matrix multiplication, are not directly related to proving the correctness of recursive functions. Commutativity refers to the order of operations or elements, diagonalization is a technique used in mathematics and logic, and matrix multiplication is a mathematical operation for matrices. While these concepts may have applications in other areas of mathematics and computer science, they are not specifically used for proving the correctness of recursive functions.

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Answer:

C 19

Step-by-step explanation:

Answer:

\(9+10=19\)