Modeling Real-World Scenarios with Sine and Cosine Functions
The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.

Modeling Real-World Scenarios With Sine And Cosine FunctionsThe Table Below Shows The Illuminated Percentage

Answers

Answer 1

Answer:

0 and 0

Step-by-step explanation:

it stays the same 7 to 17 is 7

14 to 21 is 7 etc...

Answer 2

The amplitude of the function is 48 units.

The period of the function is 28 units.

The graph has a vertical shift of 48 unit.

To determine the amplitude and period of the cosine function that describes the relationship between the day (d) and the illuminated percentage of the moon (%), we can analyze the given data:

d     %

0   48

14   96

21  48

28   0

Amplitude:

The amplitude of a cosine function represents half the difference between the maximum and minimum values of the function.

So, (96 - 0) / 2

= 48 units.

Period:

The period of a cosine function is the length of one complete cycle.

Therefore, the period of the function is 28 units.

Vertical shift:

The vertical shift represents the displacement of the graph vertically.

The graph has a vertical shift of 48 unit.

Learn more about Function here:

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Related Questions

Write the sentence as an inequality.

A number is less than 6 and greater than 2

Answers

Answer:

6 > x > 2

Step-by-step explanation:

This could be wrong, but if the number is less than six, and greater than two, itd look like that!

Find the axis of symmetry for this parabola:
y = -4x2 - 8x - 7

Answers

Answer:

Step-by-step explanation:

If we want to find the axis of symmetry of the parabola of [tex]y=-4x^{2} -8x-7,[/tex] we would use the formula of [tex]-\frac{b}{2(a)}[/tex] to find it.

b=-8

a=-4

so the formula would look like this [tex]-\frac{-8}{2(-4)}[/tex], simplify it >>>[tex]-\frac{-8}{-8}[/tex] which is -1

So -1 would be the axis of symmetry

*It would mean a lot to me if you guys gave this post a "THANKS"

What is the expression -7(3z + 5t - 3g) in simplest form?​

Answers

Answer:

-3z-5t+3g

Step-by-step explanation:

-7(3z+5t-3g)

= -7×3z +( -7×5t)( -7×-3g)

= -21z-35t+21g

divide all elements by 7

= -21÷7 -35÷7+21÷7

= -3z-5t+3g

is the combined savings enough for a charity donation?why?​

Answers

Answer:

Combined savings are enough for charity because for charity since it is helping people, any bit of money you have can be enough for charity even if it is $1.00. Anything you have is enough, as long as you give.  "Each of you should give what you have decided in your heart to give, not reluctantly or under compulsion, for God loves a cheerful giver" 2 corinthians 9:7.

What is the value of x?

Answers

Answer:

The answer is 30 degrees

Step-by-step explanation:

the total of all three angles in a triangle add up to 180.

50+100= 150

so,

180-150= 30

x= 30 degrees

hope this helps!!

Answer:

answer is B 30

Step-by-step explanation:

180 is the total degrees of the whole thing subtract both angels they already give you (100+50) that leaves you with 30

Eric earns $7.50 per hour working at a grocery store. The total amount of money he
earns on a given day is a function of how many hours he works that day?

Answers

Answer: 37.50

Step-by-step explanation: If he works 5 hours A DAY and he earns $7.50 PER HOURS, you just need to multiple

7.50(5)= 37.50

Write the slope intercept form equation of the line that passes through the point (4,3) and is parallel to y=5/4x+1

Answers

I hope this helps:)

2/3 divided by 2/5

lesson 4 module 2
grade 6
page s.20

Answers

Answer:

1 2/5

Step-by-step explanation:

Flip 2/5 to be 5/2

Multiply.

2/3 ⋅ 2/5 = 10/6

Simplify.

1 2/5

Hope I helped :)

Please consider Brainliest :)

Please explain how to find 40 x 50 using mental math... xD

Answers

Answer:

Basically, what you do is multiply 4 times 5 ( this only applies when the numbers are in tens so like 10,20,30,40, etc.)

then after this you add the zeros of both numbers.

Step-by-step explanation:

so, this would be 2000

Can someone answer this????????????????????????

Answers

Answer:

x=4

Step-by-step explanation:

the function f(x)=-4x+9 has a range given by {1, -3, -7, -15, -19, -23} select the domain values of the function from the list. complete the explanation for how you arrived at your answer. btw this isn’t actually a test it’s assigned as hw but please help

Answers

Let's see what to do buddy....

_________________________________

Remember from now on ,

rang = output

and also Remember ,

output = y = f(x)

So : range = f(x)

So we must put the range number instead of f(x) and solve for x.

Let's do it...

=======================================

[tex]f(x) = 1[/tex]

[tex] - 4x + 9 = 1[/tex]

Both sides minus 9

[tex] - 4x = 1 - 9[/tex]

[tex] - 4x = - 8[/tex]

Negatives simplified

[tex]4x = 8[/tex]

Divided both sides by 4

[tex]x = \frac{8}{4} \\ [/tex]

[tex]x = 2[/tex]

_________________________________

[tex]f(x) = - 3[/tex]

[tex] - 4x + 9 = - 3[/tex]

[tex] - 4x = - 3 - 9[/tex]

[tex] - 4x = - 12[/tex]

[tex]4x = 12[/tex]

[tex]x = \frac{12}{4} \\ [/tex]

[tex]x = 3[/tex]

_________________________________

[tex]f(x) = - 7[/tex]

[tex] - 4x + 9 = - 7[/tex]

[tex] - 4x = - 7 - 9[/tex]

[tex] - 4x = - 16[/tex]

[tex]4x = 16[/tex]

[tex]x = \frac{16}{4} \\ [/tex]

[tex]x = 4[/tex]

_________________________________

[tex]f(x) = - 15[/tex]

[tex] - 4x + 9 = - 15[/tex]

[tex] - 4x = - 15 - 9[/tex]

[tex] - 4x = - 24[/tex]

[tex]4x = 24[/tex]

[tex]x = \frac{24}{4} \\ [/tex]

[tex]x = 6[/tex]

_________________________________

[tex]f(x) = - 19[/tex]

[tex] - 4x + 9 = - 19[/tex]

[tex] - 4x = - 19 - 9[/tex]

[tex] - 4x = - 28[/tex]

[tex]4x = 28[/tex]

[tex]x = \frac{28}{4} \\ [/tex]

[tex]x = 7[/tex]

_________________________________

[tex]f(x) = - 23[/tex]

[tex] - 4x + 9 = - 23[/tex]

[tex] - 4x = - 23 - 9[/tex]

[tex] - 4x = - 32[/tex]

[tex]4x = 32[/tex]

[tex]x = \frac{32}{4} \\ [/tex]

[tex]x = 8[/tex]

=======================================

So the domain values are :

x = { 2 , 3 , 4 , 6 , 7 , 8 }

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Select two fractions equivalent to 3/5

Answers

Answer:

6/10

And 9/15

Step-by-step explanation:

two could be 6/10 and 9/15

The height of a golf ball hit in the air is modeled by the equation ℎ()=−162 + 48, where ℎ() represents
the height, in feet, and represents the number of seconds that have passed since the ball was hit.
Complete the statement about the function for ℎ(2)=32
If ℎ(2)=32 , then the ball reached a height of _________ feet after _________ seconds.

Answers

Answer:

4 5

Step-by-step explanation:

what is the answer? pls help
i'm not sure

Answers

Answer:

I don't think It is a line.

Step-by-step explanation:

2

If 2x – 3 + 3x = – 28, what is the value of x?


4


-1


-5


5

Answers

Answer:

Value of X is 5

Step by step explanation:-

2x – 3 + 3x = – 28

=> 5x = –28 + 3

=> 5x = –25

=> x = –25/5

=> x = –5

Someone please help me with this one

Answers

Answer:

its 5

Step-by-step explanation:

got it right on quiz

A conjecture and the two-column proof used to prove the conjecture are shown.
Please help 46 points

Answers

Answer:well one

Step-by-step explanation:

two

Answer:

see below

Step-by-step explanation:

1. Linear Pair Postulate

This one is a little questionable, as some definitions of linear pairs require supplementary angles, whereas others only require the intersection of two lines. Check your book or notes for any given theorems regarding supplementary angles.

2. m<ABC+ m<CBD= 180 degrees

The definition of supplementary angles is that two angles are supplementary if their measures sum to 180 degrees.

3. Substitution Property of Equality

From previous step, the 90 degrees was in place of <CBD.

4. m<ABC=90 degrees

moved 90 degrees from left side to the right.

please help me ill do anything

Answers

Answer:

Go in a diff website so you can get a proper answer I think if you look up related brainly I hope this helps.

Step-by-step explanation:

Help help help!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think the starting point is in quadrant Q, and the finishing point is in quadrant S. I don't really understand part B, sorry...

Rebecca’s boss pays her time and a half for overtime work. If her regular wage is $13.50 per hour, what is her overtime rate?

Answers

Answer:

Rebecca's overtime rate is $20.25 per hour

Step-by-step explanation:

Rebecca is paid $13.50 per hour as her regular wage.

Her boss pays her that amount and a half for overtime work.

Half of her regular pay rate is 13.50/2= $6.75

Thus, her overtime rate is:

$13.50 + $6.75 = $20.25

Rebecca's overtime rate is $20.25 per hour

I’ll give Brainly! Jim has ten more dollars than Gail. Together they have at most twenty-seven dollars.

A. Determine the possible amounts of money Gail could have.
B. Sketch the solution on a number line.

Answers

Answer:

see below

Step-by-step explanation:

Let g= amount that gail has

j = g+10

j+g ≤ 27

Substitute  the first equation into the inequality

g+g+10 ≤ 27

2g + 10 ≤ 27

Subtract 10 from each side

2g≤ 17

Divide by 2

g≤ 8.5

Answer:

Let g= amount that gail has

j = g+10

j+g ≤ 27

Substitute  the first equation into the inequality

g+g+10 ≤ 27

2g + 10 ≤ 27

Subtract 10 from each side

2g≤ 17

Divide by 2

g≤ 8.5

Step-by-step explanation:

A=1/2(b1+b2) solve for b1

Answers

Given expression:

   

             A  = [tex]\frac{1}{2}(b_{1} + b_{2} )[/tex]

Solve for b₁;

  Solution:

This is a subject of the formula problem.

  Given expression:

               A  = [tex]\frac{1}{2}(b_{1} + b_{2} )[/tex]

First, multiply both sides by 2;

          2 x A  = 2 x [tex]\frac{1}{2}(b_{1} + b_{2} )[/tex]  

              2A  = b₁  + b₂

Then subtract b₂ from both sides;

           2A - b₂ = b₁ + b₂ - b₂

                 b₁ = 2A - b₂

The solution is   b₁ = 2A - b₂

The debate team participated in 18 debate it won twice as often as it lost how many times did it win

Answers

it won 12 times. 18 divided by 3 is 6, add six to six and you get 12 :)

A rotation maps point A(5, 4) to A’(–4, 5).

Which describes the rotation?
180° clockwise rotation
180° counterclockwise rotation
90° counterclockwise rotation
90° clockwise rotation

Answers

Answer:

90° counterclockwise rotation

Step-by-step explanation:

I just took the quiz and got it correct,

Hope this helps.

Answer:

answer above is correct

Step-by-step explanation:

please I need help ​

Answers

Answer:

please I need help......gjmtjmgj?hi?tmzdthwyriyotul!tkht

What is the length of the line?

Answers

Length of line is 6 unit

Answer:

square root of 37

Step-by-step explanation:

Use the figure below to solve for X.

Answers

x=45, we know 2x is 90 because it is a right angle, so we can divide 90 by two, to get 45. Now to substitute, 90+55+(45-10) = 180, therefore, this answer would make logical sense.

What is the product of the GCF and LCM of 16 and 24?

Answers

Answer:

48

Step-by-step explanation:

16= 2×2×2×2=2^4

(I just put this here because I needed 20 characters so yeah...)

Can someone help me with this?

Answers

Answer:

Option 2 4y + y = 45

Step-by-step explanation:

what is 8 to the power of 3 minus 9 times 2 divided by 3

Answers

Answer:

506

Step-by-step explanation:

I did mentally

Answer:

506

Step-by-step explanation:

Write it out: [tex]8^{3}[/tex] - 9 × 2 ÷ 3[tex]8^{3} = 512[/tex]  Plug 512 in: 512 - 9 × 2 ÷ 3-9 × 2 = -18Plug -18 in: 512 - 18 ÷ 318 ÷ 3 = 6Plug 6 in: 512 - 6512 - 6 = 506

I hope this helps!

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