The graph g(x) = sin (x + 2π) is a transformation of the graph f(x) = sin x exactly one period to the right, and the two graphs look identical. Is it true or false and explain why

Answers

Answer 1

It is true that the two graphs of g(x) = sin (x + 2π) and f(x) = sin x are identical.

How to Interpret Graph Transformations?

The sine function is a periodic function, which means that the value of the sine function repeats itself after a regular interval. This regular interval is called the period. The period for a sine function is 2π radians. This means that the value of the sine function will be same for any two points separated by 2π radians.

If x = 0, then sin (x) = sin (0) = 0 and sin (x + 2π) = sin (0 + 2π) = sin (2π) = 0

If x = π/2, then sin (x) = sin (π/2) = 1 and sin (x + 2π) = sin (π/2 + 2π) = sin (5π/2) = 1

Thus, it can be seen that the graph of sin (x + 2π) replicates the graph of sin (x) exactly after one period of the sine function.

Thus, we conclude that it is true that the two graphs of g(x) and f(x) are identical.

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Related Questions

-7x-11x-224=64

PLEASE GIMME THE ANSWERRR

Answers

Answer: 16

Step-by-step explanation:

X = -16

explanation:

Combine the like terms which are -7x & -11x
-18x-224=64

Then you add 224 to both sides
-18x-224 + 224 = 64 +224

Cancel out the -244+244 so you only do 64 + 224
-18x = 224

Divide both sides by -18
-18x/-18 =288/-18

Cancel out the one with the same denominator & numerator

288/-18

You answer should be -16 hope that helps

Solve for x. SHOW YOUR WORK

Answers

Answer:

-6

Step-by-step explanation:

Answer:

a) -6

Step-by-step explanation:

The given equation is,

→ (2x + 3)/2 = 3x/4

Let's solve the required value of x,

→ (2x + 3)/2 = 3x/4

→ 4(2x + 3) = 2 × 3x

→ 8x + 12 = 6x

→ 8x - 6x = -12

→ 2x = -12

→ x = -12/2

→ [ x = -6 ]

Hence, the value of x is -6.

What is the slope of a line perpendicular to the line whose equation is 4x + 10y = -140​

Answers

Answer:

mperpendicular = 5/2

Step-by-step explanation:

<1 is the supplement of <2, and m<2 = 110.7°.
Find m<1. (2 points)

Answers

Answer:

69.3 degrees

Step-by-step explanation

supplement means 180 degrees so subtract 180-110.7

4. Kari gets $20 every week for lunch money. She sets aside $2
every school day. How many weeks did it take for her to save up
$65?

Answers

Answer:

33 days or 5 weeks

Step-by-step explanation:

Use the number line to answer the following 2 questions.

1. How many groups of 1/9 are in 2?

2. Evaluate 2 ÷ 4/9=

Answers

1. The groups of 1/9 that are in 2 is 18.

2. 2 divided by 4/9 is 4 1/2.

How to calculate the fractions?

It should be noted that the information relates to fractions. In this case, they'll be solved this:

The groups of 1/9 that are in 2 will be:

= 2 ÷ 1/9

= 2 × 9

= 18

Also, 2 divided by 4/9 will be:

= 2 ÷ 4/9

= 2 × 9/4

= 9/2

= 4 1/2

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Circle the value of the digit 5 in
256 934

Answers

The place value of the digit 5 in the given number 256,934 is equal to 50,000.

As given in the question,

Given number : 256,934

Place value of the digit 5 in 256,934

Place value of each digit in the given number :

Place value of 4 = 4

Place value of 3 = 30

Place value of 9= 900

Place value of 6 =6,000

Place value of 5 = 50,000

Place value of 2 = 200,000

Therefore, the place value of the digit 5 in the given number 256,934 is equal to 50,000.

The complete question is :

Circle the place value of the digit 5 in 256,934

A. 5,000  B.  50    C.  50,000     D.  500,000

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Please help due today

Answers

The second one 1/3f+36=85

What is the equation and total cost

Answers

Check out the attached photo

If JKL is rotated 180 ° clockwise, which describes the location of J’?
(no picture)

Answers

If triangle JKL is rotated 180° clockwise, the location of J’ is: B. (6, 7).

The types of transformation.

Generally, there are different types of transformation and these include the following:

TranslationDilationReflectionRotation

What is a rotation?

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.

From the graph (see attachment), we have the following data:

Points at J = (-6, -7)Points at K = (-6, -2)Points at L = (-3, -7)

In Geometry, rotating a point 180° about the origin in a clockwise or counterclockwise (anticlockwise) direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° clockwise to triangle JKL, the location of J’ is given by:

Points at J = (-6, -7)   →  Points at J' = (-(-6), -(-7))

Points at J = (-6, -7)   →  Points at J' = (6, 7).

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Complete Question:

If JKL is rotated 180° clockwise, which describes the location of J'?

A. (-7, 6)

B. (6, 7)

C. (7,-6)

D. (7,6)

What is 943,158,670.3491 rounded to the 100 millions? PLEASE ANSWER ASAP!

Answers

Answer: ≈900,000,000

Step-by-step explanation:

[tex]943,158,679.3491\approx900,0000,000[/tex]

CREATE Write an absolute value relation in which the domain is all nonnegative numbers and the range is all real numbers.

Answers

Answer I really don’t know math

Step-by-step explanation:

someone holds a buy 2 get 1 free sale on water color paint the paint tubes cost $7.25 each. how much money did the store lose by giving away the free tubes of paint?


Answers

With the help of basic Arithematic Operations it is concluded that the store lose $7.25 by giving away the free tubes of paint.

What is Addition ?

A formula that depicts grouping objects into a bigger collection. The plus sign (+) serves as a symbol for it.

What is Subtraction ?

A calculation that symbolizes the process of determining a difference between two numbers or units. The negative sign serves as a symbol for it (-).

The cost of a paint tube = $7.25

The cost of 2 paint tubes = $7.25 + $7.25 = $14.50

Therefore, subtracting the cost of one free paint tube from the total cost of two paint tubes

$14.5 - $7.25 = $7.25

Hence, the store lose $7.25 per sale by giving away the free tubes.

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What is b in (2x+3)^2 =0?

Answers

the coefficient "b" (the one with the linear term) is 12.

What is the value of "b" in the equation?

The general quadratic equation is:

a*x^2 + b*x + c = 0

I guess that you want to find the coefficient "b" on the given equation.

Then we can just expand the given quadratic equation:

(2x + 3)^2 = 0

(2x + 3)*(2x + 3) = 0

Expanding that we get:

4x^2 + 6x + 6x + 9 = 0

4x^2 + 12x + 9 = 0

So the coefficient "b" (the one with the linear term) is 12.

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Q5.
120 cm
The circle has a radius of 120 cm. Find the area of this circle.
Diagram NOT
accurately drawn

Answers

Answer:

about 45239 cm²

Step-by-step explanation:

Representación gráfica de 2 1/4

Answers

La representación pictórica de 2 ¼ es sombrear completamente 2 círculos de 3 y sombrear 1/4 parte del tercer círculo.

Aquí, el pictórico dado es 2 ¼.

El numerador es mayor que el denominador.

Entonces, esta también es una fracción impropia o mixta.

Entonces, primero dividiremos la fracción mixta pictórica como.

Ahora tenemos que sombrear completamente 2 círculos de 3 y sombrear 1/4 de la parte del 3er círculo como se muestra en la figura de abajo.

Para más ayuda, encuentra la representación en la figura.

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a truck rental company charges $90 plus $20 per hour. identify a function that represents the total charge for renting a truck for a certain number of hours. what is the value of the function for an input of 5, and what does it represent?

Answers

The function that represents the total charge for renting a truck for a certain number of hours is c(h) = $90 + $20(h) and the value of the function for an input of 5, is $190 and this represents the total charge for a rental of 5 hours.

Given,

A truck rental company charges $90 plus $20 per hour.

Here we need to  identify a function that represents the total charge for renting a truck for a certain number of hours. And we also need to find the value of the function for an input of 5.

The problem statement tells you the total charge is the sum of $90 and a charge of $20 per hour. That is, for h hours, the total charge is ...

c = 90 + 20h

In functional form, this is

c(h) = 90 +20(h) . . . . . . total charger for a rental of h hours

The function value with an input of 5 is ...

c(5) = 90 +20(5)

c(5) = 90 + 100

c(5) = 290

Since the input is the number of hours of rental, and the function value is the total charge, this represents the total charge for a rental of 5 hours.

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Answer:

f(h)=90+20h

$190

Step-by-step explanation:

4x - 8 = -2x + 20
2x - 8 = 20
2x = 28

x = 14
is this right or wrong, what is the incorrect step?

Answers

4x-8=-2x + 20

4x+2x= 20 + 8

6x=28

x=28 : 6

x= 4,6

Select the verb that is in the incorrect tense.


Gabriel once camps with friends in his backyard. they stargazed and located planets and other constellations. Suddenly they saw a shooting star cross the sky, which thrilled the boys!


please help me if u cannn <3 also sorry if the points are ten its just that i only have 21 pointss

Answers

Answer:

change "camps" to "camped"

he altitude to the hypotenuse of a triangle with angles of 30 and 60 degrees is 3 units. what is the area of the triangle, in square units? express your answer in simplest radical form.

Answers

The area of the triangle is 6√3 units.

How to the area of the triangle, in square units?

given that the altitude to the hypotenuse of a triangle with angles of 30 and 60 degrees is 3 units.

The hypotenuse of a triangle with angles of 30°, 60°, and 90° is always twice as long as the side opposite the 30° angle, and it is almost three times as long as the side opposite the 60° angle.

so, let the shorter side of triangle is x.

the longer side of triangle is x√3.

the hypotenuse of the triangle is 2x.

now find the value of side of triangle

[tex]x \sqrt{3} = 3 \\ \frac{x \sqrt{3} }{ \sqrt{3} } = \frac{3}{ \sqrt{3} } \\ x = \frac{3 \sqrt{3} }{3} \\ x = \sqrt{3} [/tex]

so, the length of shorter side is √3 units.

now, find the value of hypotenuse of triangle

2x = 2√3

so, the length of hypotenuse of the triangle is 2√3 units.

now, find the base of the triangle

base = a√3 = (2√3) (√3) = 2(3) = 6

base = 6 units.

now, find the area of triangle

formula 1/2 (base)(height)

A = 1/2 (6) (2√3)

A = 6√3

Hence,the area of the triangle is 6√3 units.

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A gift box has a surface area of 6.25 square feet. What is the surface area of the box in square inches?

Answers

The surface area of the box in square inches will be 39.0625 inches².

How to calculate the area?

From the information, the gift box has a surface area of 6.25 square feet.

Therefore, the surface area of the box in square inches will be:

= Side × Side

= 6.25 × 6.25

= 39.0625 inches²

Therefore, the surface area of the box will be 39.0625 inches².

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Is the va
20 = x + (2x8)-6

Answers

Answer:

10

Step-by-step explanation:

20= x+ 16 -6

20= x+ 10

20 - 10= x

x= 10

An elected official surveyed residents of a town to assess their satisfaction with city services. The survey includes both those who own and those who rent their homes. Level of satisfaction high medium low total owners 26 34 18 78 renters 15 12 5 32 total 41 46 23 110 what is the probability that a resident reports high satisfaction, given that the resident is a renter? 13. 7% 20. 0% 36. 6% 46. 9%

Answers

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

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4. Which best represents the transformation algebraically?
a. (x, y) b. (-x, y)
C.
(-x, -y)- d. (x + 18, y)

Answers

Answer:here is ur answer

Solution (b): The function y = f (x + 5) is of the form y = f (x + c). Therefore, the graph of y = f (x + 5) will be the same as that of f (x) but shifted to.

step-by-step explanation: i really hope this helps lmk if i am wrong (: <3

What is the slope of the line that passes through the points (2, 3) and (5,-6)?

Answers

Answer:

slope = - 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (5, - 6 )

m = [tex]\frac{-6-3}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3

It’s geometry question it seams more like English to me but it’s for my geometry class

Answers

The conclusion of the statement would be "then I will play outside".

A conditional statement's hypothesis is the first, or "if" element. The second, or "then," half of a conditional statement is the conclusion. A hypothesis leads to the conclusion. The term immediately following the word if in a conditional statement is known as the hypothesis. The phrase immediately following the word then is the conditional statement's conclusion.Conditional statements are ones that begin with a hypothesis and end with a conclusion. It is sometimes referred to as a "If-then" statement.Example: There is a conditional statement. We will not play if it is pouring. Let's say A: it's raining and B: we're not going to play. If A is true, i.e., it is raining, and B is false, i.e., we played, then the statement A implies that B is false.

Thus this is the meaning of conditional statement.

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A cargo plane left Singapore flying west
nine hours before an Air Force plane. The
Air Force plane flew in the opposite
direction going 260 km/h slower than the
cargo plane for three hours after which
time the planes were 5970 km apart. Find
the cargo plane's speed.

Answers

The cargo plane's speed is 576.7 km /hour.

Given, the cargo plane flew away 9 hours before an air force plane.

The air force plane is in the opposite direction.

speed of the air force plane is : 260 km/hr

time = 3 hours

distance for which plane's are apart = 5970 km

therefore, 9x + 3(260) = 5970

9x + 780 = 5970

9x = 5970 - 780

9x = 5190

x = 5190/9

x = 576.7 km

hence the speed of the cargo plane is 576.7 km.

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Rewrite the expression using the Distributive Property. Then simplify.

2(x+4)
Write the simplified expression.

Answers

The expression can be rewrite as [tex](2\times x)+(2\times4)[/tex] using distributive property and on simplification ,it gives [tex]2x+8[/tex] .

"Distribution" means sharing or giving a share or portion of something.The distribution laws of multiplication for basic arithmetic operations such as addition and subtraction are known as distribution characteristics.According to this property, multiplying the sum of two or more summands by a number gives the same result as multiplying each summand separately by a number and then adding the products.

Use this property of multiplication rather than addition when you need to multiply a number by the sum of two numbers.

Let's use properties to calculate given the expression. The number 2 is divided by two addends. Simply put , multiply each summand by 2 and add the products together.

By using distributive property , we get

[tex]2(x+4)=(2\times x)+(2\times4)[/tex]

On simplifying , we get

[tex](2\times x)+(2\times4)=2x+8[/tex]

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[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\textbf{What is the distributive property}\\\\\huge\textbf{formula?}[/tex]

[tex]\mathsf{a(b + c)}\\\\\mathsf{= a(b) + a(c)}\\\\\mathsf{= ab + ac}[/tex]


[tex]\huge\textbf{But what about your equation?}[/tex]

[tex]\mathsf{2(x + 4)}\\\\\mathsf{= 2(x) + 2(4)}\\\\\mathsf{= 2x + 8}[/tex]


[tex]\huge\text{Therefore your answer should be: \boxed{\mathsf{2x + 8}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

this is for 2 and 3 graders math lol ez

Answers

Answer:

lol

Step-by-step explanation:

literally where's the question only answer??

Answer:

???

Step-by-step explanation:

-8(0.09)(-0.5)
Please I need help, and work shown.

Answers

0.36 is the answer! The explanation is in the picture, if you have any questions please ask. :)
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