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.

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Related Questions

If you horizontally shift the linear parent function f(x)=x left two units what is the equation of the new function?

Answers

Answer:

This is a horizontal translation so, the equation is f(x) = (x + 5). Whenever you translate to the right it is negative.

Step-by-step explanation:


Write 173,200 in scientific notation.

Answers

Answer:

1.73 * 10^5

Step-by-step explanation:

Evaluate: 3² × (-2)³ × 5​

Answers

Answer:

360

Step-by-step explanation:

3^2 × (-2)^3 × 5= 9 × 8 × 5= 72 × 5= 360

Thank you ☺️☺️

3) For the ordered pairs given in the table, is the relation a function?
X
0,1,2,1 Y4,2,6,5

Answers

Answer:

Relation

Step-by-step explanation:

The domains, 0,1,2,1 repeat! (the 1's repeat twice:)

No it is not a function.

In the x-values there are two ones. Therefore it cannot be a function.

What is the slope of the line that passes through points (-3,5) and (11, 5)?

Answers

The line would be horizontal because both Y’s of the coordinates are the same so the slope would be 0 and the equation is y=5

What is the length of AB?

A. 2
B. 6
C. 8
D. 4

Answers

Answer:

maybe ; the length of ab is 6

PLEASE HELP
ILL GIVE BRAINLIEST

Answers

Answer:

4x times 5 k

Step-by-step explanation:

Mrs. Lodge is having new floor tiles installed in her kitchen. She is paying the flooring company $170.25 for the tiles and an installation fee of $3.78 per square foot. She receives a total bill of $586.05 for the job. Which equation could be used to find the number of square feet (x) of tile Mrs. Lodge is having installed?

Answers

$170.25 + $3.78x = $586.05

Which parent functions have a range of (-infinity , infinity) select all that apply
A. a parent even-degree power function
B. a parent odd-degree power function
C. a parent even-degree root function
D. a parent odd-degree root function
E. a parent exponential function with a base greater than 1
F. a parent exponential function with a base between 0 and 1
G. a parent logarithmic function with a base greater than 1
H. a parent logarithmic function with a base between 0 and 1

Answers

Answer:b,d,g,h

Step-by-step explanation:

A function assigns the value of each element of one set to the other specific element of another set. The correct option is B, D, G, and H.

What are the domain and range of a function?

A function assigns the value of each element of one set to the other specific element of another set.

The domain is the set of values for which the given function is defined.The range is the set of all values which the given function can output.

From the given functions the function that has a range of (-∞, ∞) can be found by plotting the graph. Therefore, the parent function that has a range of (-∞, ∞) are:

B. a parent odd-degree power function

D. a parent odd-degree root function

G. a parent logarithmic function with a base greater than 1

H. a parent logarithmic function with a base between 0 and 1

Hence, the correct option is B, D, G, and H.

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Evaluate 4
M-n if m= -7 and n = 2.

Answers

Answer:

-9

Step-by-step explanation:

What is the remainder when f(x) = 2x^4 + x^3- 8x - 1 is divided by x - 2?
A. -23
B. 23
C. -3
D. 3

Answers

By the remainder theorem, dividing [tex]f(x)[/tex] by [tex]x-2[/tex] leaves a remainder of [tex]f(2)[/tex], which is

[tex]f(2)=2(2)^4+(2)^3-8(2)-1=\boxed{23}[/tex]

which makes B the correct answer.

The remainder when f(x) = 2x^4 + x^3- 8x - 1 is divided by x - 2 is 23

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

Polynomial based on degree is linear, quadratic, cubic.

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial x - a, the remainder of is to f(a)

Given that f(x) = 2x⁴ + x³ - 8x - 1 is divided by x - 2

x - 2 = 0

x = 2

f(2) = 2(2)⁴ + (2)³ - 8(2) - 1 = 23

Hence The remainder when f(x) = 2x^4 + x^3- 8x - 1 is divided by x - 2 is 23

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HELP ME ASAP!!
How many ways can four freshmen be chosen from eighteen to be members of the leadership board?

Answers

Answer:

trying your best I would say

hope this helps

f(x) = x2
g(x) = (x – 6)
We can think of g as a translated (shifted) version of f.

Answers

To get function g , shift f right by 6 units.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

Right by 6 units

Step-by-step explanation:

Dwayne wants to buy a jump rope that costs $4, a board game that costs $7, and a playground ball that costs $3. He has saved $9 from his allowance, and his uncle gave him $4. How much more money does Dwayne need to buy the jump rope, the game, and the ball?

Answers

Answer:

he needs $1

Step-by-step explanation:

add 4+7+3=14 then your gonna add what he already has which is 9+4= 13 so 14-13=1

1 dollar to buy the stuff

What percent of 123 is 140? *

Answers

Answer:

172.2

Step-by-step explanation:

Answer:

113.8%

Step-by-step explanation:

let the unknown percentage be x%

hence we can re-write the given question as a mathematical equation

"What percent of 123 is 140" can be re-written mathematically as:

x% of 123 = 140

x/100 of 123 = 140

( x/100 )123 = 140   (multiply both sides by 100)

x(123) = 140 x 100

x(123) = 14000   (divide both sides by 123)

x = 14000 / 123

x = 113.8%

a-2=3+6a/3

What’s the value of a?

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Linear Algebra

a-2= 3+6a/3

=> 3(a-2)= 3+6a

=> 3a-6= 3+6a

=> -6-3=6a-3a

=> -9=3a

hence, a=-3

3 /10 4/ 8 which one is bigger?

Answers

Answer:

4/8

Step-by-step explanation:

3/10 is 0.30 and 4/8 is 0.5

Solve. 3(x-2)+17=2(x+7)

Answers

Answer:

3

Step-by-step explanation:

3x-6+17=2x+14

3x+11=2x+14

x=3

Find the quotient.
5,400 / 90

Answers

Answer:

5,400 ÷ 90 = 60

Step-by-step explanation:

hope it helps!

The answer is 60 you just need to divide

7x-3x+7=3(x-4)+20 is it a one solution

Answers

if youre solving for x, x=1

gabrielle found a recipe that uses 5/6 cups of milk. If she only wanted to make half of the recipe how many cups of milk should she use​

Answers

I believe if you equate 5.6/2= 2.8cups. 2.8*2=5.6 my apologies if I’m confusing you!

Graph y= -2x + 5. Help please.

Answers

Answer y intercept is 5, then move 2 units down from 5, then 1 unit to the right which is now (1, 3). So jus keep moving 2 units down and 1 unit to the right.

I love you the way you are c:

Answers

Answer: Be careful on you love

Step-by-step explanation: I got heartbroken

If Sue can sew 3 dresses in 8 hours, how many hours will it take sue to sew 9 dresses?

Answers

24 hours

brainliest pls

Answer:

Step-by-step explanation:

24 hours because 3 x3 is 9 making it possible for you to multiply 8 by 3. So 8 x 3 is 24 hours.

Annie bakes cookies and cupcakes in a ratio of 2 to 7 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. How many cupcakes will she bake? How many cookies will she bake ?

Answers

Let's say cookies are 2x. If there are 2x cookies then there are 7x cupcakes. Now, 2x cookies + 7x cupcakes = 36 desserts.

9x = 36

So, x = 4

Now, remember that cookies = 2x. 2x = 2 times 4 = 8.

She will bake 8 cookies.

wich graph and equation shows a proportional relation ship between x and y
1. y= 2.5 - 1.5
2. y= x= 1.5
3. y= 0.45x
4. y= 4.5

Answers

Answer: y=0.45x is the answer.

Step-by-step explanation:

Factor X^2 + 7x + 12

Answers

Answer:

(x + 3)(x + 4)

Step-by-step explanation:

(x + 3)(x + 4)

x^2 + 3x + 4x + 12

x^2 + 7x +12

Answer:

(x +3) (x+4)

Step-by-step explanation:

I took the test with this question, I hope this helps!

Consider matrix A.
What matrix results from the elementary row operations represented by −2R2+3R1?

Answers

Answer:

[tex]A = \left[\begin{array}{ccc}-3&3&2\\-25&-13&0\end{array}\right][/tex]

Step-by-step explanation:

Given the matrix

[tex]A = \left[\begin{array}{ccc}-3&3&2\\8&-1&3\end{array}\right] \\R1 = -3, 5, 2\\R2 = 8, -1, 3\\\\[/tex]

Before we can get the resulting matrix after the elementary operation, we need to get the new second row using the formula −2R2+3R1?

when R1= -3, R2 = 8

−2R2+3R1? = −2(8)+3(-3)

−2(8)+3(-3) = -16-9

−2(8)+3(-3) = -25

R1= 5, R2 = -1

−2R2+3R1? = −2(-1)+3(5)

−2(-1)+3(5) = 2-15

−2(-1)+3(5) = -13

when R1= 2, R2 = 3

−2R2+3R1? = −2(3)+3(2)

−2(3)+3(2) = -6-6

−2(3)+3(2) = 0

Hence the new R2 are -25, -13, 0

The resulting matrix will be:

[tex]A = \left[\begin{array}{ccc}-3&3&2\\-25&-13&0\end{array}\right][/tex]

Answer:

-25 17 0

 8  -1   3

Step-by-step explanation:

evaluate the square root of x^16

Answers

Answer: its going to be x^4

Please help with the question, and if you can please explain how you got the answer. Thank you.

Answers

9514 1404 393

Answer:

  C.  p ∨ q

Step-by-step explanation:

The compound statement is of the form ...

  p or q

where ...

  p = Memorial day is in July

  q = parallel lines intersect

The symbol ∨ is used to represent the disjunction (or).

The symbolic form of the given statement is ...

  p ∨ q

__

As it happens, both p and q are false, which means the disjunction is false. That has no bearing on the symbolic representation of it.

_____

∧ represents conjunction (and).

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