Which lines or segments are parallel? Justify your answer.

Answer:

[tex]\displaystyle y = \frac{1}{2}sin\:524\pi{x}[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = \frac{1}{2}cos\:(524\pi{x} - \frac{\pi}{2})} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{1}{1048}} \hookrightarrow \frac{\frac{\pi}{2}}{524\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{1}{262}} \hookrightarrow \frac{2}{524\pi}\pi \\ Amplitude \hookrightarrow \frac{1}{2}[/tex]

OR

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{1}{262}} \hookrightarrow \frac{2}{524\pi}\pi \\ Amplitude \hookrightarrow \frac{1}{2}[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although the exercise told you to write the sine equation based on the speculations it gave you, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = \frac{1}{2}cos\:524\pi{x},[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{1}{1048}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{1}{1048}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{1}{1048}} = \frac{\frac{\pi}{2}}{524\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = \frac{1}{2}cos\:(524\pi{x} - \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have the exercise to wourk with, take a look at the above information next to [tex]\displaystyle Wavelength\:[Period].[/tex]It displays the formula on how to define each wavelength of the graph. You just need to remember that the B-term has [tex]\displaystyle \pi[/tex]in it as well, meaning both of them strike each other out, leaving you with just a fraction. Now, the amplitude is obvious to figure out because it is the A-term, so this is self-explanatory. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one-half unit beyond the midline, hence, your amplitude. So, no matter what the vertical shift is, that will ALWAYS be the equation of the midline, and if viewed from a graph, no matter how far it shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

If x  represent the number of seconds then the function is f(x)=0.5sin(52π(x))

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that the middle C key on a piano has a frequency of 262 cycles per second.

Frequency = 262

It has an amplitude of 0.5 unit

Amplitude = 0.5

We have to find the function.

y=Asin(2πf(x))

A is amplitude and f is the function.

y=0.5sin(2π262(x))

y=0.5sin(52π(x))

Hence, if x  represent the number of seconds then the function is f(x)=0.5sin(52π(x))

To learn more on trigonometry click:

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Answer:

da te

Step-by-step explanation:

Answer:

The speed would be 60kph

60/60=1

Step-by-step explanation:

60x24=1,440

It would at a speed of 1,440km per day.

In a year it would go 525,600 km.

Every nanosecond it would go 0.0001 cm.

Answer:

a^8/b^12 --> a.k.a answer d

Step-by-step explanation:

when there's an exponent outside of a parenthesis of exponents inside, you're basically just going to multiply them together. not add or anything

2 * 4 = 8

3 * 4 = 12

and we cant divide or do anything else with the product b/c a and b are both different variables and we don't know what they are

Answer:

7(b+8) = 5

Hope this helps!

Answer:

x=6

Step-by-step explanation:

7+5(×-3)=22

expand the brackets:

7 + 5x - 15 = 22

simplify:

5x - 8 = 22

add 8 to both sides:

5x = 30

divide both sides by 5

x = 6

hope this helps

brainliest plz?

x

Answer:

7+5 (x-3)=22

7+5x-15=22

5x+ -8=22

5x=30

x=6

Step-by-step explanation:

PEMDAS

First distribute in the parentheses

Then add like terms together

once you have -8, add it on both sides

then divide 5 from both sides to leave the unknown variable by itself

Finally you have the answer

I hope this helps! :)

Answer:

12 boys

Step-by-step explanation:

i took the 7 that represents the girls and multiplied by 3 to get 21 (how many girls are there)

So then i took 4 multiplied 3 and thats how i got the answer 12 (brainllist Plz!)

By rewriting the linear function we will see that the correct option is A.

"an increasing line that passes through (0, 4)"

Here we have the linear function:

2y  = 4x + 8

We can rewrite it to get the function in the slope-intercept form:

y = (4x + 8)/2

y = 2x + 4.

So, the slope is positive, this implies that we will have an increasing line.

We also can see that the y-intecept is 4, this means that the line passes through the point (0, 4).

From that, we can conclude that the correct option is A.

If you want to learn more about linear functions, you can read:

https://brainly.com/question/4025726

Answer:

Step-by-step explanation:

you need to plug in

Answer:

Bar graph

Step-by-step explanation:

Hopes this helps

Step-by-step explanation:

Length=l

Width=w

l=3w

Perimeter of a rectangle=2(l+w)

2(l+w)=88

l+w=44

3w+w=44

4w=44

w=11

l=3w=33

Answer:

5:12

Step-by-step explanation:

you can't simplify your answer so it will be

5:12

Answer:

a=2x-b

Step-by-step explanation:

[tex]x=\frac{a+b}{2}\\\\\frac{a+b}{2} = x\\ a+b = 2x\\a= 2x-b\\[/tex]

Answer:

C. X8

Step-by-step explanation:

correct me if im wrong

Answer:

See below.

Step-by-step explanation:

The answer would be x^8.

When multiplying exponents, you add them, rather than actually multiplying.

-hope it helps

Answer:

13.1 cm² (nearest tenth)

Step-by-step explanation:

Use the sine rule for area of a triangle with 2 sides and an included angle (SAS).

Sine rule for area

[tex]\textsf{Area ABC}=\dfrac12ab \sin C[/tex]

(where [tex]a[/tex] and [tex]b[/tex] are the side lengths and [tex]C[/tex] is the included angle)

Given:

[tex]\implies \textsf{Area}=\dfrac12\cdot 8 \cdot 7 \cdot\sin (28\textdegree)[/tex]

               [tex]=13.14520376...[/tex]

               [tex]= 13.1 \textsf{ cm}^2 \textsf{ (nearest tenth)}[/tex]

Use sine rule

Area:-

[tex]\\ \sf\longmapsto \dfrac{1}{2}Base\times Height sin\theta[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{2}(8)(7)sin28[/tex]

[tex]\\ \sf\longmapsto 28sin28[/tex]

[tex]\\ \sf\longmapsto 13.1cm^2(Approx)[/tex]

Answer:

If Sarah has three times as many pencils as Mike she has 3  times the number of pencils Mike has which is equivalent to 3 * m. That means Mike has m pencils and Sarah has 3m pencils. they have m + 3m pencils. The expression would be total:  m + 3m.

Step-by-step explanation:

Answer:

evaluate

Step-by-step explanation:

um duh

but I hope I helped in some way

Answer:

Step-by-step explanation:

x₁ = 0   ; y₁=0  &

x₂ = 1    ; y₂=2

Slope =[tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]=\dfrac{2-0}{1-0}\\\\\\=\dfrac{2}{1}\\\\\\= 2[/tex]

Slope = 2

Answer: 1/4/7=1/28

You’re welcome good luck to whatever you’re working on. Give brainliest please for my answer.

Answer:

B

Step-by-step explanation:

the values of t from the table are 7 times the corresponding values of s , so

t = 7s

Answer:

16

Step-by-step explanation:

1. Use acronym PEMDAS (parentheses, exponents, multiplication/division, addition/subtraction) to determine the order of operations.

2. Since there are no parentheses or exponents, multiply first:

4*5=20

3. Now, the expression reads 20+-4.  Adding a negative is the same as subtracting that value.

20-4=16

Hope this helps!!

The circumference is πd, and the diameter is 10, so the circumference is 10π. All sides of a square are equal, so the length of each side is 10π/4, which is 2.5π.

The length of each side of the square is 2.5π  

Answer:

Enter any decimal value and get the number rounded to its nearest thousandths in ... Step 2: Now, look at the digit, which is next to the thousandth place.

Answer:

19,2000

Step-by-step explanation:

Hi!

The vertex is the highest or lowest point on a graph, also known as the maximum/minimum. It is the turning point for the parabola.

In this case, it has a maximum, because the parabola points downward.

Using the graph, we can see the vertex is at point

(3, 4)

Answer:

(3,4)

Step-by-step explanation:

The vertex is a point that is the maximum or minimum of the parabola. (3,4) is the highest point on that parabola so it's a vertex

Answer:

○ B. [tex]\displaystyle 69\:inches\:to\:75\:inches[/tex]

Explanation:

The Empirical Rule states that sixty-eight percent of the population will be within one standard deviation of the mean in height. Therefore, you perfourm the operations below:

[tex]\displaystyle \boxed{75} = 3[1] + 72 \\ \boxed{69} = -3[1] + 72[/tex]

I am joyous to assist you at any time.

Find upper range and lower range by adding and subtracting standard deviation respectively.

Lower range

Upper range:-

Option B is correct

Answer:

22 in

Step-by-step explanation:

volume of a right prism = area of base x height

Given:

⇒ 352 = 16 × height

⇒ height = 352 ÷ 16

⇒ height = 22 in

Height be x

[tex]\\ \rm\rightarrowtail 16x=352[/tex]

[tex]\\ \rm\rightarrowtail x=352/16[/tex]

[tex]\\ \rm\rightarrowtail x=22[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{x^{2}-9 }{x+3}[/tex]

you factorize x²-9 to get (x+3)(x-3)

that would now be [tex]\frac{(x+3)(x-3)}{x+3}[/tex]

x+3 would cancel out the other x+3

then you would be left with (x-3)

Answer:

Hello there buddy I’m MrsNobody and I’m here too help you

Your answer is

x+3)(x−3)x+3

Cancel the common factor.(x+3)(x−3)x+3(x+3)(x-3)x+3

Divide x−3x-3 by 11.

Answer;x−3

Hope it’s helps you buddy

I’m sorry if my answer is wrong

Have a nice day

Good luck with your homework

Step-by-step explanation:

~MrsNobody

Answer:

6.5 hours per day

$321.75

Step-by-step explanation:

Given Kirsten worked 39 hours in 6 days:

Number of hours worked in one day = 39 ÷ 6 = 6.5 hours

Given Kirsten is paid $8.25 per hour:

Total pay for 39 hours = 39 × 8.25 = $321.75