pls helppp (correct answers only and explaintion)

The function g(x), considering that h(x) is the composite function of f(x) and g(x), is given as follows:

g(x) = x + 6.

The composite function of f(x) and g(x) is given by the following rule:

h(x) = (f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

The functions for this problem are defined as follows:

Hence the function g(x) is defined as follows:

g(x) = x + 6.

As the application of the composite function is given as follows:

[tex]h(x) = (f \circ g)(x) = f(x + 6) = \sqrt[4]{x + 6 + 1} = \sqrt[4]{x + 7}[/tex]

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A figure has rotational symmetry when it can be rotated by an angle measure which is greater than 0º and less than 360º and the rotated image is equals to the original figure, that is, the image is equals to the pre-image.

A square is divided into four congruent sides, hence it has rotational symmetry, while the unit circle, over which the figures are rotated, is of 360º, hence the angle is given as follows:

360/4 = 90º.

The second figure has three equal arrows, hence it also has rotational symmetry, with an angle given as follows:

360/3 = 120º.

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Answer:

[tex]x=7, y=-4[/tex]

Step-by-step explanation:

[tex](4x+10y)+(-4x-7y)=-12+0 \implies 3y=-12 \implies y=-4 \\ \\ 4x+10(-4)=-12 \implies x=7 \\ \\ \therefore x=7, y=-4[/tex]

Answer:

If both of the opposite sides are parallel then the quadrilateral is a parallelogram.  If the slopes are the same and the constants are different than the lines are parallel.

Step-by-step explanation:

If both of the opposite sides are parallel then the quadrilateral is a parallelogram.  If the slopes are the same and the constants are different than the lines are parallel.

(-32) ( 3,2)    and side (-5,-2) (1,-2)

(-3, 2) (3,2)

Slope [tex]\frac{2-2}{3- -3}[/tex] = [tex]\frac{0}{6}[/tex] = 0

y-intercept

2 = 0(3) + b

2 = b

Equation

y = 0x + 2

y = 2

(-5,-2) ( 1,-2)

slope [tex]\frac{-2 - -2}{1 - -5}[/tex] = [tex]\frac{0}{6}[/tex] = 0

y-intercept

-2 = 0(1) + b

-2 = b

Equation

y = 0x - 2

y = -2

These sides are parallel because the slope is the same and the y-intercepts are different.

Sides (-3,2) (-5,-2) and (3,2) (1,-2)

(-3,2) (-5,-2)

slope [tex]\frac{-2 -2}{-5 - -3}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2

y-intercept

-2 = (2)(-5) + b

-2 = -10 + b

8 = b

Equation:

y = 2x + 8

(3,2) (1,-2)

slope [tex]\frac{-2-2}{1-3}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2

y-intercept

2 = (2)(3) + b

2 = 6 + b

-4 = b

Equation

y = 2x -4

The sides are parallel because the slopes are the same, but the y-intercept are different.

Given:

Recall properties of a parallelogram:

Prove that same applies to the given quadrilateral.

1) Opposite sides are: MH & AT and MA & TH.

MH and AT have same y-coordinates and therefore both are horizontal, hence parallel.

Their lengths:

Same can be proved for MA &TH.

2) Find the midpoint of diagonals MT and AH.

Midpoint of MT:

Midpoint of AH:

Both diagonals have same midpoint (-1, 0). This proves that diagonals bisect each-other.

Therefore MATH is a parallelogram.

Answer:

y = 4/5x + 8

Step-by-step explanation:

y-intercept = b = 8  

Use the points (-10,0) and (0,8) to find the slope (m)

m = (8 - 0)/(0 - (-10)) = 8/10 = 4/5

y = mx + b

y = 4/5x + 8

Answer:

Step-by-step explanation:

81 texts in 9 hours

So you do 81 divided by 9

Which givrs you 9 text an hour

The length of the skid marks is 336 feet

Since the formula s = √(21d) relates the speed (s) of the car and the length of skid (d).

If the car is traveling at 84 miles per hour, we can determine the length of the skid marks by substituting s = 84 into the formula and then solve for d. That is:

s = √(21d)

84 = √(21d)

84² = 21d

7056 = 21d

21d = 7056

d = 7056/21

d = 336 feet

Thus, length of the skid marks is 336 feet

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Answer:

My pleasure in French is Mon Plaisir

Answer:

You can say ''my pleasure '' in French ''

Step-by-step explanation:

mon plaisir

Which symbol replaces ? to make the statement true?

2 x 18 - 18 ? 2 x [28-3 x (2+4)]

will mark brainliest and will give thanks

the answer : <

C) 537 square feet is the approximate surface area of this right prism with triangular bases.

The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.

Given, A right prism has a triangular base.

From the general formula of surface area

Surface area of triangle = 1/2 * base * height

The surface area of the rectangle = length * width

in our case,

Surface area of the triangle =  1/2 * base * height

Surface area of the triangle =  1/2 * 10 * 8.7

Surface area of the triangle =  1/2 * 87

The surface area of the rectangle = length * width

The surface area of the rectangle =  15 * 10

The surface area of the rectangle = 150

Since surface area of rectangle prism = 3 * area of rectangle + area of triangle * 2

Thus,

the surface area of rectangle prism =3 * 150 + 2 * 1/2 * 87

surface area of rectangle prism = 450 + 87 = 537

Therefore, 537 square feet is the approximate surface area of this right prism with triangular bases.

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Answer: 5/2

Step-by-step explanation:

Slope = 5/2

The volume of the cone is 12π or 37.70 cm²

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the centre of base) called the apex or vertex.

The volume of a cone is given by the equation

Volume of Cone = ( 1/3 ) πr²h

where r is the radius of the cone

h is the height of the cone

Given data ,

Let the volume of the cone be represented as V

Now , the equation will be

Let the length of the cone be S = 5 cm

Let the height of the cone be = H

Let the radius of the cone be R = 3 cm

From the Pythagoras theorem , S² = H² + R²

So, substituting the values in the equation , we get

Height of the cone H = √5² - 3²

Height of the cone H = √25 - 9

Height of the cone H = √16

Height of the cone H = 4 cm

Now , the volume of the cone = ( 1/3 ) πR²H

Substituting the values in the equation , we get

Volume of the cone V = ( 1/3 ) x π x ( 3 )² x 4

On simplifying the equation , we get

Volume of the cone V = 3 x 4 x π

Volume of the cone V = 12 π

Volume of the cone V = 37.70 cm²

Therefore , the value of V is 37.70 cm²

Hence , the volume of cone is 12π or 37.70 cm²

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The length of the hypotenuse of an isosceles right triangle with leg lengths 5 cm will be 7 cm.

            The Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relationship between the three sides of a right triangle in Euclidean geometry. The areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse, according to this statement.

            The length of the leg of the given isosceles right triangle is 5 cm.

Using pythgorous theorem,

[tex](h^{2} ) = 5^{2} + 5^{2} \\h^{2} = 25 +25\\h^{2} = 50\\h = \sqrt{50} \\h = 7.07\\h = 7 cm[/tex]

Hence, The length of the hypotenuse will be 7 cm.

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Answer Im not exactly sure

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

divide 20 by 100 and multiply by the amount. The amount in this case is 180. Subtract the number from 180. Youll get 36, so subtract 36 from 180 and youll get 144.

The total assets of the company if assets are Cash $35,000, Inventory $41,000, Property $124,000, The liabilities are Notes $45,000, and Wages $56,000 is $200000.

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

Given:

The assets are Cash $35,000, Inventory $41,000, Property $124,000,

The liabilities are Notes $45,000, Wages $56,000

The Equity are Stock $50,000, Investment $49,000

Calculate the total assets as shown below,

the total assets = 35000 + 41000 + 124000

the total assets = 200000

Calculate the total liabilities and equity as shown below,

The total liabilities and equity = 45000 + 56000 + 50000 + 49000

The total liabilities and equity = 200000

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The scale factor from the given similar triangles is 3.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle ABC and triangle DEC are similar.

DE=6, AB=21, DC=4, EC=2x+3, and BC=13x-1.5.

Since, ΔABC similar to ΔDEC

So, AB/DE =AC/DC =BC/EC

21/6 =13x-1.5/2x+3

7/2 =13x-1.5/2x+3

7(2x+3)=2(13x-1.5)

14x+21=26x-3

26x-14x=21+3

12x=24

x=2

So, EC=2x+3 =7 and BC=13x-1.5 =24.5

Now, AB/DE =BC/EC

21/6=24.5/7=3.5

Therefore, the scale factor is 3.5 units.

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The amount of money left with Miguel is $8.15

Miguel has $20

He spends $6 on movie ticket

He spends $3.85 for snacks

He also spends $2 for bus fare

The total expenses is

6 + 3.85 + 2

= 11.85

The amount left is

20- 11.85

= 8.15

Hence Miguel has $8.15 left

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Answer:

To use the distributive property to remove the parentheses in the expression "-4(-6v-4w+1)", you need to distribute the negative 4 to each of the terms inside the parentheses. This gives you the following:

(-4*-6v) + (-4*-4w) + (-4*1)

Simplifying this expression, we get:

24v + 16w - 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

use distributive property to remove parenthesis -4(-6v-4w+1)

-4(-6v - 4w + 1) =

24v + 16w - 4

The number of wireless speakers that must be produced and sold in order for the company to break even is 186 and the profit function can be given as 62n -11200.

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given;

A company sells wireless speakers for $140 each,

cost of $78 per wireless speaker and the fixed cost is $11200,

Write the function of cost as shown below,

Cost price = 11200 + 78n

Here, n is the number of speakers

Calculate the profit as shown below,

profit = 140n - 11200 - 78n

profit = 62n -11200

Calculate the breakeven point as shown below.

62n -11200 = 0

n = 11200 / 62

n = 180.6

n = 181

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Answer:

(-33,2)

Step-by-step explanation:

The number of solutions the equation 2x + 2x + 2 = 4 + 2x have is 1

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

2x + 2x + 2 = 4 + 2x

Subtract 2x from both sides of the equation

So, we have the following representation

2x + 2 = 4

Subtract 2 from both sides of the equation

So, we have the following representation

2x = 2

Divide both sides by 2

x = 1

Hence, the equation has 1 solution

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A parabola with focus of (-8, 6) and a directrix of y = 0. has the equation of the parabola as (x + 5)² =  8 (y - 3)

Quadratic equation = parabolic equation, when the directrix is at y direction is of the form:

(x - h)² =  4P (y - k)

OR

standard vertex form, y = a(x - h)² + k     where a = 1/4p

The focus

F (h, k + p) = (-8, 6)

h = -8

k + p = 6

P in this problem, is the midpoint between the focus and the directrix

P = (6 - 0) / 2 = 3

p = 3

the vertex

v(h, k)

h = -8

k + p = 6, k = 3

v(h, k) = v(-8, 3)

substitution of the values into the equation gives

(x - h)² =  4P (y - k)

(x - (-8))² =  4 * 3 (y - 3)

(x + 5)² =  8 (y - 3)

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The function is best described by option B direct variation; k= 5/2.

When two variables are related in a way that one is a constant multiple of the other, this is referred to as direct variation.

The direct variation is given as follows y ∝ x.

The equation is thus of the form y = kx.

Using the given values in the table:

Consider x=-2 and y= -5

Substitute the values in y=kx.

-5 = -2k

Divide both sides of the equation by -2.

[tex]\frac{-5}{-2} = \frac{-2}{-2}k \\k =\frac{5}{2}[/tex]

The equation is [tex]y=\frac{5}{2} x[/tex] [ equation 1]

Check equation 1 for a different value in the table using the constant value k.

Let x= 4 and y = 10.

[tex]y = \frac{5}{2} x\\10 = \frac{5}{2} (4) \\10 = 10[/tex]

The equation holds true; hence the function is best described by direct variation; k = 5/2.

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The general form of the equation for the given circle centered at O(0, 0) include the following: B. x^2 + y^2 − 41 = 0

Mathematically, the general (standard) form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²  

Where:

Next, we would determine the radius of this circle by using the distance formula as follows;

Radius, r = √[(4 - 0)² + (5 - 0)²]

Radius, r = √(16 + 25)

Radius, r = √41

Substituting the given parameters into the general form, we have;

(x - h)² + (y - k)² = r²  

(x - 0)² + (y - 0)² = (√41)²  

x² + y² = 41

x² + y²- 41 = 0

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Complete Question:

Select the correct answer. A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O. What is the general form of the equation for the given circle centered at O(0, 0)?

a. x^2 + y^2 + 41 = 0

b. x^2 + y^2 − 41 = 0

c. x^2 + y^2 + x + y − 41 = 0

d. x^2 + y^2 + x − y − 41 = 0

My brother, who is always pushing my buttons, keeps taking my things.

State-​ment ˈ : something stated: such as. : a single declaration or remark : assertion. : a report of facts or opinions. : the act or process of stating or presenting orally or on paper.

Here , the required answer is.

My brother, who is always pushing my buttons, keeps taking my things.

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The correct equation which represents the perimeter in terms of the width, w is,

⇒ 2 (9 + w) = 42

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

Misaki is measuring her office, which is rectangular.

And, The length of the room is 9 ft and the perimeter is 42 ft.

Now, We know that;

⇒ Perimeter of rectangle = 2 (Length + Width)

Here, The length of the room is 9 ft and the perimeter is 42 ft.

So, We can formulate;

⇒ Perimeter of rectangle = 2 (Length + Width)

⇒ 42 = 2 (9+ w)

Thus, The correct equation is,

⇒ 42 = 2 (9+ w)

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