Write a cosine function that has an amplitude of 5, a midline of 2 and a period of \frac{2\pi}{5} 5 2π ​ .

Answers

Answer 1

Answer:

f(x) = 5*cos(5*x) + 2

Step-by-step explanation:

A general cosine function is written as:

f(x) = A*cos(ω*x) + M

where:

A is the amplitude

M is the midline

ω is the angular frequency.

In this case we know that:

The amplitude is 5, then A = 5

The midline is 2, then M = 2

The period is 2*pi/5

The relation between the angular frequency ω and the period T is:

ω = 2*pi/T

Then if the period is T = 2*pi/5, replacing that in the above equation we find that:

ω = 2*pi/T = 2*pi/(2*pi/5) = 5

ω = 5

Then the function is:

f(x) = 5*cos(5*x) + 2

Answer 2

The cosine function should be [tex]f(x) = 5\times cos(5\times x) + 2[/tex]

The calculation is as follows:

A general cosine function is written as:

[tex]f(x) = A\times cos(\omega\times x) + M[/tex]

where

A is the amplitude

M is the midline

ω is the angular frequency.

Here, in the given situation  

The amplitude is 5, then A = 5

The midline is 2, then M = 2

The period is [tex]2\times \pi\div 5[/tex]

The relation between the angular frequency ω and the period T is:

[tex]\omega = 2\times \pi\div T[/tex]

Now Then if the period is [tex]T = 2\div \pi\div 5,[/tex] replacing that in the above equation we find that:

[tex]\omega = 2\times \pi\div T = 2\times \pi\div (2\times \pi\div 5) = 5[/tex]

ω = 5

Then the function is [tex]f(x) = 5\times cos(5\times x) + 2[/tex]

Learn more: brainly.com/question/16911495


Related Questions

Is (3x+1) a factor of 9x^3 + 6x^2 - 26% - 6?

Answers

Answer:

No

Step-by-step explanation:

Did you mean to add that percentage, if not, it is still not factorable.

Which are zeros of the following polynomial 6x^2-11x-10=0

Answers

Answer:

-2/3 and 2.5

Step-by-step explanation:

for this, you can just use a graphing calculator (online or handheld) and see where the zeros are.

what is the equation of the line

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Answer:

x = 0

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD

Solve for X


explain the process for this problem​

Answers

Answer:

x = 40

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

126° is an exterior angle of the triangle, then

x + 2x + 6 = 126

3x + 6 = 126 ( subtract 6 from both sides )

3x = 120 ( divide both sides by 3 )

x = 40

Lashonda works mowing lawns and babysitting. She earns $7.80 an hour for mowing and $7.60 an hour for babysitting. How much will she earn for 7 hours of mowing and 4 hours of babysitting?

Answers

Answer:

$85.00

Step-by-step explanation:

7.80 x 7 = 54.6

7.60 x 4 = 30.4

54.6 + 30.4 = 85

The answer is $85.00 I hope this is correct

Una carrera ciclista de 180 kilometros se celebra en un circuito de 36 kilometros de longitud ¿cuantas vueltas deben dar los corredores al circuito?

Answers

Answer:

Los corredores deben dar 5 vueltas al circuito.

Step-by-step explanation:

En este caso, para saber cuantas vueltas deben dar los corredores al circuito, debes dividir los kilómetros totales de la carrera entre la longitud del circuito:

180/36=5

De acuerdo a esto, la respuesta es que los corredores deben dar 5 vueltas al circuito.

solve (4*3) + 2 , how are you all , freeee points​

Answers

Step-by-step explanation:

hope it is helpful to you

Answer:

14 is the answer.

Step-by-step explanation:

(4 × 3) + 2 = ?

→ (4 × 3) + 2

→ 12 + 2 = 14

​ 6 38/45 + 2 5/9 ​

Enter your answer in the box as a mixed number in simplest form.

Answers

Answer:

9 2/5

Step-by-step explanation:

6 38/45 + 2 5/9 ​

6 38/45 + 2 25/45 = 8 63/45 = 9 18/45 = 9 2/5

Which equation is equivalent to 5 – 2x = 12

-2x = 7
2x = 17
2x =7
-2x =17

PLEASE HELP

Answers

Answer:

5-2x=12

-5. -5

-2x=7 so ans shld be -2x=7

Answer:

-2x = 7

Step-by-step explanation:

Problem to solve:

5 - 2x = 12

Step 1:

We need to isolate the dependent variable x, we can do that by subtracting 5 from both sides of the equation.

=

-2x = 7

Step 2: (to find x)

Divide both sides of the equation by -2

=

[tex]x = -\frac{7}{2}[/tex]

Hope this helped :)

72
Evaluate the expression for = 3.
22 - 2

Answers

Answer:

uhm 22 - 2 = 20?

Step-by-step explanation:

Im confused what you're trying to say.

HELPPPP PLEASEEEEEEEEE

Answers

Answer:

i have no idea

Step-by-step explanation:

Calculate the midpoint of the line segment with endpoints A(− 4, −5) and B(2, 3).

Answers

The midpoint should be (-1, -1) if my math is right

The midpoint of the line segment is (-1, -1).

What is midpoint of a line segment?

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

It is obtained by averaging the x-coordinates and averaging the y-coordinates of the endpoints of the segment.

Given endpoints

A(− 4, −5) and B(2, 3)

Midpoint of the line segment formula:

Midpoint of a Line Segment : Its x value is halfway between the two x values · Its y value is halfway between the two y values.

Midpoint [tex]= (\frac{x_{1}+x_{2} }{2} ,\frac{y_{1}+y_{2} }{2})[/tex]

Midpoint = [tex](\frac{-4+2}{2} ,\frac{-5+3}{2} )[/tex]

Midpoint = [tex](\frac{-2}{2}, \frac{-2}{2} )[/tex]

Midpoint = (-1, -1)

The midpoint of the line segment is (-1, -1).

Find out more information about midpoint of a line segment here

https://brainly.com/question/14687140

#SPJ2

Hello! Help me in my question.​

Answers

Answer:

what is your questions?

Answer:

what is your question

HELP PLS i wanna do this bc my grade will go up

Answers

Answer:

Hello! answer: 268

Step-by-step explanation:

When doing these you want to find each face separately then add them up so here are all the faces... 24 + 24 + 80 + 80 + 30 + 30 = 268 so 268 is our surface area! Hope this helps!

Answer:

268 cm²

Step-by-step explanation:

Surface area: The sum of all the areas of every side of the prism.

As a shortcut, you can find the three unique sides and multiply the number by 2 (because opposite sides of a rectangular prism are the same)

Find the surface area of:

8 by 10 side: 8 * 10 = 80

3 by 8 side: 3 * 8 = 24

3 by 10 side: 3 * 10 = 30

Add these measures together.

80 + 24 + 30 = 134

Multiply this number by 134.

134 * 2 = 268

Thus, the answer is 268 cm²

is 12c greater or smaller than 3 qt

Answers

Answer:

None, there the same

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words. Enter your answer as a fraction in simplest form, using / for the fraction bar.


Erik buys a new combination lock for his locker at the gym. The lock has 3 dials, each with the numbers 0 through 9. The probability that he sets the combination as 4-3-9 is?​

Answers

Answer:

4

step-by-step explanation:

ansver  

Answer from: Quest

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i believe the answers 600m

ansver  

Answer from: Quest

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answer:   2 multiplied by x =24

step-by-step explanation:

ansver  

Answer from: Quest

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i believe b is the answe

Step-by-step explanation:

In February, Ronald. Read a book that was 98 pages long. In March, he read a book that was 124 pages long. In April, he read a book that was 208 pages long. How many pages did Ronald read in February, March and April?

Answers

Answer:

430

Step-by-step explanation:

You add 98+124 which is 222 then add it plus 208 which is 430

Answer:

the answer is 430 books for 3 months

A quantity with an initial value of 9700 grows continuously at a rate of 0.65% per hour. What is the value of the quantity after 2.75 days, to the nearest hundredth?

Answers

Answer:

.65% / hr = .0065 / hr

2.75 days * 24 hrs / day = 66 hrs

66 hrs * .0065 / hr = .429

So our amount will become

A = A0 ( 1 + .429) = 9700 * 1.429 = 13860

state the locus of a point equidistant from two parallel lines​

Answers

The path will be 1 line halfway between the parallel lines.

hope this helped <3

answer both. please help. i will etransfer you if u can answer all my questions!!!!

Answers

Answer:

honestly i dont know :(

Step-by-step explanation:

Answer:

a: -5

k: 1/4

d: 3

c: 2

[tex]g(x) =2-\frac{5}{4(x-3)}[/tex]

Step-by-step explanation:

Explanation is in Picture. Reflections across x-axis make a negative.

For b), look up 'Transformations of the 1/x function' and watch the video by Ragini Narasimhan. He explains it well

(5+3i)(4+2i)

multiply

Answers

Answer:

14+22i

Step-by-step explanation:

See Image below:)

Answer:

Took the test

Step-by-step explanation:

Multiply.

(5+2i)(4−3i)

Enter your answer, in standard form, in the box.

1$$

Correct answers:

126−7i

GIVING BRAINLIST........

Answers

Answer:

36

Step-by-step explanation:

for the equation, we have to add 1 cubed, 2 cubed and 3 cubed together to get the answer. That equation would look like this

1^3 + 2^3 + 3^3

or expanded out

(1x1x1)+(2x2x2)+(3x3x3)

Solving that down, the equation turns into this

1 + 8 + 27

Adding those values together leaves us with 36!

Hope this helped, have a good rest of your day!

Answer:

36

Step-by-step explanation:

[tex]1^{3}[/tex] + [tex]2^{3}[/tex] +[tex]3^{3}[/tex] = 36

[tex]1^{3}[/tex] = 1 x 1 (= 1) x 1 = 1

[tex]2^{3}[/tex] = 2 x 2 (= 4) x 2 = 8

[tex]3^{3}[/tex] = 3 x 3 (= 9) x 3 = 27

27 + 8 + 1 = 36

Hope this helps :)

A rectangle’s width is one-fourth of its length. Its area is 9 square units. The equation l(l) = 9 can be used to find l, the length of the rectangle.

What is the length of the rectangle?

0.75 units
1.5 units
3 units
6 units

Answers

Answer:

6 units

Step-by-step explanation:

The formula for the area of a rectangle = Length × Width

A rectangle’s width is one-fourth of its length.

W = 1/4 × L

W = L/4

Cross Multiply

L = 4W

A = 9 square units

Hence

9 = L × W

We substitute 4W for L

9 = 4W × W

9 = 4W²

We square root both side

√9 = √4W²

3 = 2W

W = 3/2

W = 1 1/2 unit or 1.5 units

Solving for L = Length

9 = L × W

9 = L × 1.5

L = 9/1.5

L = 6 units

Therefore, the Length of the rectangle = 6 units

HELP
I will mark brainliest just answer quick

Answers

Answer is a I think

1. Given:
-2x +1, x <-2
f(x) = {5,-2 <x<3
*+4,x>3
2
Evaluate: A) f(-2) B) f(0)C) f(5)
D) Sketch the graph of f(x)​

Answers

picture????


plss!!!!?!?!!?!!?!!?

What would be the reason?

Answers

Answer:

For what comment it and ill answer

Step-by-step explanation:

Answer:

The reason for what?

Nothing else is here.

What value of x makes the following equation true? Show your work.
2/3x+4=22

Answers

Answer:

27

Step-by-step explanation:

2/3x27=18

18+4=22

Answer:

2/3x=22-4

2/3x=18

X=18*3/2

X=9*3

therefore X =27...

hope it helps

PLEASE HELP I RESLLY NEED IT SHOW WORK BRAINLIEST AND 20 POINTS

Answers

MY GUESS: =====C: 4 inch

Step-by-step explanation:

12^2 + B^2 = 20^2

144+B^2 =400

200-144 = 56 = B^2

B^2 = 7.48331477355

7.48331477355 - 3 = 4ish inches

Answer:

[tex]i \: think \: 4 \: inches[/tex]

I hope it helps

have a nice day

#Capaainpower

GIVING 30 PONTS!! PLEASE ANSWER ALL 4!! NO LINKS

Answers

Answer:

See below

Step-by-step explanation:

The measure of all the arcs can be obtained by using 'Central angle and its corresponding arc theorem'.

1. The measure of arc AD is [tex] \boxed {105}\degree [/tex]

2. The measure of arc ABC is [tex] \boxed {205}\degree [/tex]

3. The measure of arc ADB is [tex] \boxed {190}\degree [/tex]

4. The measure of arc BD is [tex] \boxed {85}\degree [/tex]

hallar el md12 de 16

respuesta
4​

Answers

Ummmmmmmmm no hablo Engels
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