What are the exact Values of a and b

Step-by-step explanation:

F(x)=2x^3+2

G(x)=2x^2-3x-2

Now,

g(x) - f(x)= 2x^2-3x-2 - (2x^3+2)

= 2x^2-3x-2 - 2x^3-2

=2x^2-3x-2-2-2x^3

=2x^2-3x-4-2x^3

: 3

Answer:

no

Step-by-step explanation:

(I'll assume you're talking about a rectangle)

If the width is zero, the shape would be a line. Therefore, the width cannot be zero.

Feel free to tell me if I did anything wrong! :)

The checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

The fertilizing techniques that would be most effective for each example are as follows:

1. Farm with numerous workers and sensitive crops:

a. UDP (Unchecked )

b. Precision management (Checked)

2. A gardener raising produce for a family:

a. UDP (Checked).

b. Precision management (Unchecked )

3. Company that delivers corn to 10 states:

a. UDP (Unchecked)

b. Precision management (Checked)

Please note that the checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

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We have shown that E₀ cos⁴θ = E₀ (1/2 + (cos2θ)/2)².

Let's start by condensing the supplied equation, E₀ cos⁴θ:

E₀ cos⁴θ = E₀ (cos²θ)²

Now, we can rewrite cos²θ in terms of Sin²θ using the identity sin²θ = 1 - cos²θ:

cos²θ = 1 - sin²θ

Reintroducing this into the expression:

E₀ (cos²θ)² = E₀ (1 - sin²θ)²

Expanding the square:

E₀ (1 - sin²θ)² = E₀ (1 - 2sin²θ + sin⁴θ)

Now, let's simplify the expression (1 - 2sin²θ + sin⁴θ):

1 - 2sin²θ + sin⁴θ = (1 - sin²θ)²

Using the identity given in the hint,

(1 - sin²θ)² = (2sin²θ)²

Expanding the square:

(2sin²θ)² = 4sin⁴θ

Let's now reintroduce this outcome into the preceding expression:

E₀ (1 - 2sin²θ + sin⁴θ) = E₀ (2sin²θ)² = E₀ (4sin⁴θ)

Therefore, we have shown that E₀ cos⁴θ = E₀ (1/2 + (cos2θ)/2)².

Hence verified.

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Fixed expenses are costs that do not change from month to month, such as rent or mortgage payments, car payments, or insurance premiums. These expenses are typically necessary, predictable, and non-negotiable, forming a stable part of an individual's or organization's financial obligations. On the other hand, variable expenses fluctuate from month to month based on usage or consumption. Examples include groceries, dining out, entertainment, and utility bills. The amount spent on these items can often be adjusted according to financial goals or current financial status, providing a degree of flexibility within the budget. Understanding the distinction between these two types of expenses is crucial for effective budgeting, as it allows for better financial planning, spending control, and potential savings.

The graph of the system of equations on the image at the end, there we can see that the solution is (110, 95).

Here we want to solve the given system of equations:

2x + 3y = 505

5x + 3y = 835

Using a graphing tool.

To solve the system graphically we just need to graph both equations on the same coordinate axis and find the point where the graphs intercept.

On the image at the end, you can see the graph of the system of equations. On that image we can see that the solution of the system of equations is (110, 95).

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The triangle that has been shown is a scalene obtuse triangle.

A triangle called a scalene triangle has three sides that are all different lengths. In other words, a scalene triangle has three different angles and no two of its sides have the same length.

A triangle with one obtuse angle is referred to as an obtuse triangle. Any angle that is greater than 90 degrees but less than 180 degrees is referred to as an obtuse angle.

Thus we have a scalene obtuse triangle.

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The lengths of the sides of triangle R'S'T'

R' = (-3.75, 2.25), S' = (2.25, 3) and T' = (2.25, -4.5).

We have the coordinates of triangle RST are given as

R (-5, 3), S(3, 4) and T(3, -6)

and, The scale factor is given as: 3/4

Now, The rule of dilation is

(x, y) = 3/4 (x, y)

Then, we can write

R' = (-5 x 3/4, 3 x 3/4)

R' = (-3.75, 2.25)

S' = (3 x 3/4, 4 x 3/4)

S' = (2.25, 3)

and, T' = (3x 3/4, -6x 3/4)

T' = (2.25, -4.5)

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Group-B secured more marks than group-A by a margin of 20 marks

(i) To calculate the marks secured by group-A, we need to multiply the number of correct answers by the marks awarded for a correct answer and subtract the product of the number of incorrect answers and the penalty for each incorrect answer.

Group-A secured:

Marks = (Number of correct answers * Marks for correct answer) - (Number of incorrect answers * Penalty for incorrect answer)

      = (6 * 10) - (4 * 5)

      = 60 - 20

      = 40 marks

Therefore, group-A secured 40 marks.

(ii) For group-B, we need to consider the number of correct answers, incorrect answers, and unanswered questions to calculate the total marks.

Group-B secured:

Marks = (Number of correct answers * Marks for correct answer) - (Number of incorrect answers * Penalty for incorrect answer) + (Number of unanswered questions * Marks for not supplying answers)

      = (7 * 10) - (2 * 5) + (1 * 0)

      = 70 - 10 + 0

      = 60 marks

Hence, group-B secured 60 marks.

(iii) To determine which group secured more marks and by how many, we compare the marks obtained by group-A and group-B.

Group-A secured 40 marks, while group-B secured 60 marks.

The difference in marks secured by group-B compared to group-A is:

60 - 40 = 20 marks.

Therefore, group-B secured more marks than group-A by a margin of 20 marks.

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The solution set of the trigonometric equation is θ = 0 + π · i, where i is a whole number or θ = 5π / 6 + 2π · j or θ = 7π / 6 + 2π · j, where j is a whole number.

In this problem we find the case of a trigonometric equation, whose solution set must be found. This can be done by using both algebra properties and trigonometric formulas. Now we proceed to present the complete procedure:

sin θ + sin 2θ = 0

sin θ + 2 · sin θ · cos θ = 0

sin θ · (1 + 2 · cos θ) = 0

sin θ = 0 or 1 + 2 · cos θ = 0

sin θ = 0:

θ = 0 + π · i, where i is a whole number.

1 + 2 · cos θ = 0:

cos θ = - 1 / 2

θ = 5π / 6 + 2π · j or θ = 7π / 6 + 2π · j, where j is a whole number.

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Answer:

B

Step-by-step explanation:

Please say thank you

Answer: About two angles are congruent

Step-by-step explanation:

Answer:

3n+5.3

Step-by-step explanation:

(1.1×n+1.9n)+(−3.8+9.1) = 3n+5.3

The two equations that models the inverse proportion relationship are:

m³ = k/√n

m³√n = k

Inverse proportion is defined as a type of proportionality relationship. Thus, when two quantities are said to be inversely proportional, then it means that as one quantity increases, the other decreases.

We are told that the cube of m varies inversely as the square root of n. Thus:

m³ ∝ 1/√n

If k is the constant of proportionality , then we say that:

m³ = k/√n

We can also cross multiply to get:

m³√n = k

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The values of the first derivative of the function f(x) = 3 · x² + 4 · x + 5 are listed below:

g(1) = 25

g(0.1) = 22.3

g(0.01) = 22

Herein we need to estimate the value of the first derivative of the function f(x) = 3 · x² + 4 · x + 5. This can be done by using the definition of derivative:

g(h) = [f(3 + h) - f(3)] / h

First, evaluate the functions at h = 1, h = 0.1 and h = 0.01:

g(3) = 3 · 3² + 4 · 3 + 5

g(3) = 44

g(4) = 3 · 4² + 4 · 4 + 5

g(4) = 69

g(3.1) = 3 · 3.1² + 4 · 3.1 + 5

g(3.1) = 46.23

g(3.01) = 3 · 3.01² + 4 · 3.01 + 5

g(3.01) = 44.220

Second, estimate the first derivative:

g(1) = (69 - 44) / 1

g(1) = 25

g(0.1) = (46.23 - 44) / 0.1

g(0.1) = 22.3

g(0.01) = (44.220 - 44) / 0.01

g(0.01) = 22

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The mode of the textbooks thicknesses is,

⇒ 1 cm

Since, The most frequent number which is, the number that occurs the highest number of times is called Mode of data set.

Here, We have to given that;

The librarian measured the thickness of the textbooks in the school library.

And, Among a selection of 6 books, he recorded the following thicknesses:

⇒ 4 cm, 1 cm, 1 cm, 1 cm, 5 cm, 2 cm

Hence, By definition of mode we get;

Here, Most often number in data set is, 1 cm

So, The mode of the textbooks thicknesses is,

⇒ 1 cm

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The surface area for each rectangular prism is given as follows:

3) S = 195.5 mm².

4) S = 158.1 m².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.

Hence, for item 3, the surface area is given as follows:

S = 2 x (8.2 x 5 + 8.2 x 4.3 + 5 x 4.3)

S = 195.5 mm².

For item 4, the surface area is given as follows:

S = 2 x (4.1 x 3 + 4.1 x 9.4 + 3 x 9.4)

S = 158.1 m².

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The volume of the sphere is 196 cm³

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is measured in units³

The sphere is a geometrical three-dimensional solid having a curved surface.

The volume of a sphere is expressed as;

V = 4/3 πr³

where r is the radius.

π = 3

r = 7

V = 4/3 × 3 × 7²

V = 4 × 49

V = 196 cm³

Therefore the volume of the sphere is 196 cm³

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The area of the sector is 36.6 ft².

We have,

To calculate the area of the sector, we need to find the fraction of the entire circle it represents and then multiply it by the area of the entire circle.

The central angle of 260° represents (260/360) or 13/18 of the entire circle.

The area of the entire circle with a radius of 4 ft can be calculated using the formula:

A = πr², where π is approximately 3.14.

Substituting the values,

The area of the entire circle is A = 3.14 x (4 ft)² = 3.14 x 16 ft² = 50.24 ft².

To find the area of the sector, we multiply the area of the entire circle by the fraction represented by the central angle:

Area of sector = (13/18) x 50.24 ft² = 36.64 ft².

Rounded to the nearest tenth

Thus,

The area of the sector is 36.6 ft².

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21,000 yd² of the field will the farmer grow wheat.

We have,

Length of yard = 210 yd

width of yard = 200 yd

As per the figure the yard is cut in diagonal form in which half portion have wheat and half potion have Cabbage.

So, the resulting shape of field in which what will grow is right angles triangle

= 1/2 x base x height

= 1/2 x 200 x 210

= 100 x 210

= 21,000 yd²

Thus, 21,000 yd² of the field will the farmer grow wheat.

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The price at which Berkshire Hathaway close on the previous day based on the table is $199,740.

The closing price of stock means the final trading price at which a particular stock or security is traded on given trading day. It is the last recorded price of a stock when market closes for the day.

The closing price is an important indicator used in financial markets to evaluate the performance and value of a stock. It serves as a reference point for investors, analysts and traders to assess the overall market sentiment and make investment decisions.

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The perimeter of the rectangle can be shown by Option C.

The perimeter of a rectangle is the total distance around its outer boundary. To calculate the perimeter of a rectangle, you need to know the lengths of its two adjacent sides, typically referred to as length (l) and width (w).

We know that the perimeter can be given by;

P = 2(l + b)

P = 2[(2.4x + 3.5) + (1.2x + 6.8)]

P = 2[2.4x + 3.5 + 1.2x + 6.8]

P = 2[2.4x +  1.2x + 3.5 + 6.8]

P = 2[3.6x + 10.3]

P = 7.2x + 20.6

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Answer: Trapezoid, Square, Rhombus, Parallelogram

Step-by-step explanation:

Yes, because EFGH is a parallelogram and its diagonals are congruent.

To prove the statement, we have to know the properties of a rectangle.

The properties of a rectangle are listed thus;

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The value of sin of θ given in the unit circle using the coordinates is -√13/7.

Given a unit circle.

We know that any point on the unit circle can be represented in terms of the angle that the point makes with the positive X axis as,

x = cos θ and y= sin θ

Here θ is the angle formed by the positive X axis with the point.

Here also given a unit circle.

So using the coordinates, we get

cos (θ) = -6/7

sin (θ) = -√13/7

Hence the value of sin of θ is -√13/7.

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Answer:

12 m

Step-by-step explanation:

15² = 9² + a²

a² = 15² - 9²

= 225 - 81

= 144

a =√144

= 12 (m)

please look at attachment

Two sides are congruent to each other. The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle. The two angles opposite to the equal sides are congruent to each other.

In an isosceles triangle, two sides have the same length, making them congruent. These two sides are often referred to as the "legs" of the triangle.

The angles opposite the congruent sides in an isosceles triangle are also congruent. These angles are typically referred to as the "base angles."

The remaining side, called the "base," is not congruent to the legs of the triangle. The base is usually the side that connects the two base angles.

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The distance from the center of the Earth to the point where the net gravitational force is zero is one-ninth the distance from the Earth to the Moon.

Let's assume that the distance from the center of the Earth to this point is denoted as x.

Given:

Mass of the Moon (M[tex]_{moon}[/tex]) = 1/81 × M[tex]_{earth}[/tex]

Distance from Earth to Moon (d[tex]_{moon}[/tex]) = distance on center

According to the principle of gravitational equilibrium, the gravitational force from the Earth and the gravitational force from the Moon acting on an object at that point must balance out. Mathematically, we can express this as:

F[tex]_{earth}[/tex] = F[tex]_{moon}[/tex]

The gravitational force between two objects can be calculated using Newton's law of universal gravitation:

F [tex]_{gravity}[/tex]= G × (m₁ × m₂) / r²

Where:

G is the gravitational constant (approximately 6.67430 x 10⁻¹¹m²/kg/s²)

m₁ and m₂ are the masses of the two objects

r is the distance between the centers of the two objects

Considering the gravitational forces involved:

F[tex]_{gravity}[/tex][tex]_{earth}[/tex] = G ₓ (M[tex]_{EARTH}[/tex]  ₓ m[tex]_{OBJECT}[/tex]) / (d[tex]_{earth}[/tex])²

F[tex]_{gravity}[/tex] [tex]_{moon}[/tex] = G ₓ (M [tex]_{moon}[/tex] ₓ m[tex]_{object}[/tex]) / (d [tex]_{moon}[/tex])²

Since we are looking for the point where the net gravitational force is zero, we set these two forces equal to each other:

G × (M[tex]_{earth}[/tex] × m[tex]_{object}[/tex]) / (d[tex]_{earth}[/tex])²   =     G × (M [tex]_{moon}[/tex] × m[tex]_{object}[/tex]) / (d [tex]_{moon}[/tex])²

Canceling out the common factors of G and m[tex]_object}[/tex], and substituting the given values:

(M[tex]_{earth}[/tex] × 1) / (d[tex]_{earth}[/tex])² = (M [tex]_{moon}[/tex] × 1) / (d [tex]_{moon}[/tex])²

Rearranging the equation:

(d[tex]_{earth}[/tex])²/ (M[tex]_{earth}[/tex]) = (d [tex]_{moon}[/tex])² / (M [tex]_{moon}[/tex])

Taking the square root of both sides:

d[tex]_{earth}[/tex] / √(M [tex]_{moon}[/tex])) = d_moon / √(M [tex]_{moon}[/tex])

Substituting the given values:

d[tex]_{earth}[/tex] /√(M[tex]_{earth}[/tex]) = d[tex]_{moon}[/tex] / √(1/81 × M[tex]_{earth}[/tex])

Simplifying further:

d[tex]_{earth}[/tex]  / √(M[tex]_{earth}[/tex]) =d[tex]_{moon}[/tex]  / (1/9 × √(M[tex]_{earth}[/tex]))

Multiplying both sides by √(M[tex]_{earth}[/tex]):

d[tex]_{earth}[/tex] = (1/9) × d[tex]_{moon}[/tex]

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Answer:

Step-by-step explanation:

El peso de un objeto se calcula multiplicando su masa por la aceleración debida a la gravedad. En el caso de Guadalupe, su peso en la Tierra sería 50 kg * 9.8 m/s² = 490 N (newtons).

Answer:

Step-by-step explanation:

Graph a straight line, slanting down, with a y-intercept of 4  (the point (0,4)) and an x-intercept of 8 (the point (8,0)).  Your line should slope down-1-over-2.  Line should be solid and shade everything below the line.

(sorry, Brainly doesn't offer graphing tools, so I had to just describe the line.  Hope this helps you!)