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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CREATE Write an absolute value relation in which the domain is all nonnegative numbers and the range is all real numbers.
Answer I really don’t know math
Step-by-step explanation:
-8(0.09)(-0.5)
Please I need help, and work shown.
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?
Answer:
33 days or 5 weeks
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?
4x-8=-2x + 20
4x+2x= 20 + 8
6x=28
x=28 : 6
x= 4,6
this is for 2 and 3 graders math lol ez
Answer:
lol
Step-by-step explanation:
literally where's the question only answer??
Answer:
???
Step-by-step explanation:
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%
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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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.
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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<1 is the supplement of <2, and m<2 = 110.7°.
Find m<1. (2 points)
Answer:
69.3 degrees
Step-by-step explanation
supplement means 180 degrees so subtract 180-110.7
What is 943,158,670.3491 rounded to the 100 millions? PLEASE ANSWER ASAP!
Answer: ≈900,000,000
Step-by-step explanation:
[tex]943,158,679.3491\approx900,0000,000[/tex]
Circle the value of the digit 5 in
256 934
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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What is b in (2x+3)^2 =0?
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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It’s geometry question it seams more like English to me but it’s for my geometry class
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 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?
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:
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.
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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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?
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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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
Answer:
change "camps" to "camped"
What is the slope of a line perpendicular to the line whose equation is 4x + 10y = -140
Answer:
mperpendicular = 5/2
Step-by-step explanation:
A gift box has a surface area of 6.25 square feet. What is the surface area of the box in square inches?
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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Rewrite the expression using the Distributive Property. Then simplify.
2(x+4)
Write the simplified expression.
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]
What is the equation and total cost
-7x-11x-224=64
PLEASE GIMME THE ANSWERRR
Answer: 16
Step-by-step explanation:
What is the slope of the line that passes through the points (2, 3) and (5,-6)?
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
Please help due today
Representación gráfica de 2 1/4
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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Solve for x. SHOW YOUR WORK
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.
4. Which best represents the transformation algebraically?
a. (x, y) b. (-x, y)
C.
(-x, -y)- d. (x + 18, y)
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
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=
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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Is the va
20 = x + (2x8)-6
Answer:
10
Step-by-step explanation:
20= x+ 16 -6
20= x+ 10
20 - 10= x
x= 10
Q5.
120 cm
The circle has a radius of 120 cm. Find the area of this circle.
Diagram NOT
accurately drawn
Answer:
about 45239 cm²
Step-by-step explanation:
If JKL is rotated 180 ° clockwise, which describes the location of J’?
(no picture)
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:
TranslationDilationReflectionRotationWhat 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)