Write a cosine function that has a midline of 2, an amplitude of 4 and a period of 4/7

Answers

Answer 1

Answer:

[tex]y= 4cos(\frac{7\pi }{2}x)+2[/tex]

Step-by-step explanation:

We know that the transformations of a cosine equation can be shown as:

y=±a(b(x-h))+k

Where 'a' is the amplitude

'b' is the horizontal change (Do 2π/b to find the period)

'h' is the horizontal shift

and 'k' is the vertical shift or midline.

------------------------------------------------------

If the amplitude is 4, we can assume a=4.

Since the period is 4/7, we can solve for the 'b' value by:

[tex]2\pi /\frac{4}{7}= \frac{7\pi }{2}[/tex]

Next, since the midline is 2, we know that a vertical shift of 2 occurred. Thus, the 'k' value is 2.

Writing this equation gives us:

[tex]y= 4cos(\frac{7\pi }{2}x)+2[/tex]


Related Questions

What is 1/2 of 7/8? In fraction firm

Answers

1/2*7/8=7/16

Answer:

7/16

The required fraction of 1/2 of 7/8 is given as 7/16.

What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
1/2 of 7/8 = 1/2 × 7/8
               = 7 / 16

Thus, the required fraction of 1/2 of 7/8 is given as 7/16.

Learn more about fractions here:

https://brainly.com/question/10708469

#SPJ2

A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle travel in 5 revolutions?

Answers

Answer:

10 revolution ot takes

which of the following is equivalent to the expression below?

(a²-2b²+3)-(4b²+5)+(3a²+4)

A: 4a²-6b²+12
B: 4a²-6b²+2
C: 4a²+2b²+2
D:4a²+2b²+12​

Answers

Answer:

4a^2−6b^2+2 so B

Step-by-step explanation:

Joaquín just got a new job he makes $1700 a month. he is looking at an apartment for $1500. should he consider this place to live why or why not

Answers

Answer: No  because if Joaquin uses $1500 out of $1700 to pay his rent for the apartment every month  only $200 hundred will be left.He may need to feed himself or buy something important and that amount of money left wouldn't help him.He can't save much money.

Step-by-step explanation:

Since his one-month salary is enough to cover the yearly cost of the house. He can easily use the subsequent monthly allowance for upkeep without feeling the burden of the rent.

Given the following from the given data

Salary of Joaquín = $1,700

If he is looking for an apartment worth $1500, his remaining money for the month will be $$200

If the apartment is a yearly rent, then Joaquin can consider the place to live.

This is so since his one-month salary is enough to cover the yearly cost of the house. He can easily use the subsequent monthly allowance for upkeep without feeling the burden of the rent.

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Together Emily and Charlotte have a total of 60 strawberries Emily eats four times the amount that Charlotte eats how many strawberries does Charlotte eat?

Answers

Answer:

12

Step-by-step explanation:

If you were asking how many strawberries it would take to finish all 60, this is the answer, otherwise please rephrase the question.

If Charlotte ate 12 strawberries, you would have to do 12 x 4 which would be four times the amount of strawberries Charlotte ate, 12 x 4 = 48, Emily ate 48 strawberries, 48 + 12 = 60.

Charlotte eats 12 strawberries.

Let the amount of strawberries eaten by Charlotte be represented by x.

Since Emily eats four times the amount that Charlotte eats, then Emily will eat:

= (4 × x) = 4x.

Since Emily and Charlotte have a total of 60 strawberries, then this will be:

4x + x = 60

5x = 60

x = 60/5

x = 12

Therefore, Charlotte eats 12 strawberries.

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The diameter of a circle is 6
inches. What is its
approximate
area?

Answers

Answer:

A =28.26 inches^2

Step-by-step explanation:

The diameter is 6 so the radius is d/2 = 3

The area is given by

A = pi r^2

A = pi (3)^2

A = 9pi

Using 3.14 for pi

A = 9 * 3.14

A =28.26 inches^2

Answer:

~28.2743

Step-by-step explanation:

- The formula for a circle's area is:  Area= pi * radius^2

1.) We know the diameter is 6, and the radius is ALWAYS half of the diameter so the radius=3.

2.) Now we square the radius and multiply it by pi, which ends up as ~28.2743 as the area.

please help idk the right answer

Answers

Answer:

C

Step-by-step explanation:

if you add the value if f(x) to t

Which of the following number lines represents the solution to m/-2 - 7 = -9?

Answers

Answer:

Step-by-step explanation:

Answer: m=1    

Step-by-step explanation:

Need Help ASAP it's due today. Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica's house? SHOW YOUR WORK. ( The teacher said to Plot a third point, connect the third point to make a right triangle, find the lengths of the legs of the triangle and then use the pythagorean theorem to find the distance between the gas station and Angelica's house). ​Only answer if you truly know how to solve this please. Will Mark Brainliest

Answers

Answer:

About 7.8 miles.

Step-by-step explanation:

We can use the distance formula to find the distance from the gas station to the house.

However, your teacher said to use the Pythagorean Theorem to find the distance.

Going by your teacher's preferred method:

(4,3), (10,8), and (10,3) would make a right triangle.

[See Picture]

Angelica's house is at point (4,3). It is 6 units from our new third point.

The gas station is at point (10,8). It is 5 units form out new third point.

The legs are 5 and 6 units. The distance from the house to the gas station would be our hypotenuse.

Use the Pythagorean Theorem to find the length of the hypotenuse.

[tex]a^2 + b^2 = c^2\\\\\text {Replace a and b with the appropriate values: }\\6^2 + 5^2 = c^2\\\text {Solve: }\\6^2 + 5^2 = c^2\\6^2 = 36\\5^2 = 25\\\rightarrow 36 + 25 =c^2\\36 + 25 = 61\\\rightarrow 61=c^2\\\sqrt{61}=\sqrt{c} \\\boxed {7.81024967591=c}[/tex]

7.81024967591 ≈ 7.8

The hypotenuse is about 7.8.

Therefore, the distance between the gas station and Angelica's house should be about 7.8 miles.

Brainilest Appreciated!

Answer:

AG = 7,8

Step-by-step explanation:

Plot the third point at (10,3) and let's call it point B.

Now construct the right sided triangle A B G

With A = (4,3) , B = (10,3) and G = (10,8).

AB is horizontal so subtract the x coordinates of point A and point B. So AB has length 10 - 4 = 6

BG is vertical so subtract the y coordinates of point B and point G. So BG has length 8 - 3 = 5

Now use pythagorean theorem to calculate AG

In any right sided triangle you can use a² + b² = c²

In our case AB² + BG² = AG²

Substitute AB = 6 and BG = 5

6² + 5² = AG²

AG² = 6*6 + 5*5

AG² = 36 + 25

AG = + - SQRT(61)

{Only the + variant of the SQRT has a meaning here.}

AG = 7,81 rounded on one decimal AG = 7,8

What is 200000 in standard form

Answers

Answer:

200,000 or 2000,000.0?

Step-by-step explanation:

Answer:200,000 = 2 x 10^5 fifteen thousand, eleven and sixty-seven thousandths?

Step-by-step explanation:

google hope this help you

B
The measure of ZDAB equals 110° The
measure of ZACB equals 20°.
What is mZ ABC?
D
A
Enter your answer in the box

Answers

Answer:

Given

¯¯¯¯¯¯¯¯¯

D

A

C

is a straight line, we can say its full measurement is 180°. If we know a segment of this angle,

D

A

B

, is 105°, we can know that the other segment

B

A

C

must equal 75, since

105

+

75

=

180

.

Once we've found the measure of

B

A

C

to be 75°, and given the measure of

A

C

B

to be 35, we can then find the measurement of

A

B

C

.

Since we know that the sum of any triangle's angles is 180°, we can then use these known measurements as I said above.

75

+

35

+

m

A

B

C

=

180

110

+

m

A

B

C

=

180

m

A

B

C

=

70

HELP ASAP WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER

Answers

Answer:

x is 23 degrees

20 POINTS NEED HELP ASAP​

Answers

Answer:

C 11/3

Step-by-step explanation:

x - 4 + 3x = 8 - 2x + 10

4x - 4= -2x + 18

6x = 22

x = 3.67 -> 11/3

x-2(2-3/2 x) = 2 (4 - x) +10

x - 4 + 3x = 8 - 2 + 10

4x - 4 = 18 - 2x

4x + 2x = 18 + 4

6x = 22

x = 11/3

Can you mark has brilliant pls

Determine the missing term from the perfect square trinomial. Show ALL work. x2 − ______+ 36

Answers

Answer:

12x

Step-by-step explanation:

Given the perfect square trinomial: [tex]x^2-()+36[/tex]

Written in the form [tex](x+k)^2[/tex]

[tex]x^2-()+36=x^2-()+6^2=(x-6)^2[/tex]

[tex](x-6)^2=(x-6)(x-6)\\=x^2-6x-6x+36\\=x^2-12x+36[/tex]

The missing term therefore is 12x.

8+n the answer is 45

Answers

Answer:

n=37

Step-by-step explanation:

45-8=37

Answer:

n=37 easy math :)

What is the least common multiple of 8, 12 and 16?

Answers

The answer is 48 :)) hope I helped!

Answer:

b

Step-by-step explanation:

question #17 college algebra please help. Picture provided

Answers

Answer:

Step-by-step explanation:

I think you either multiply I’m really not sure but that’s my opinion on how to solve this

A student is ordering a flower arrangement. She can choose any combination of tulip and carnations for her flower arrangement , and she does not want to spend more than $45. If tulip cost $5 each and carnations cost $3 each, which inequality represents all possible combinations of x tulips and y carnations ? A. 5x + 3y < 45 B. 5x + 3y <= 45 C. 3x + 5y > 45 3x + 5y <= 45
Helppp!

Answers

Answer:

[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations

Step-by-step explanation:

We are supposed to find inequality represents all possible combinations of x tulips and y carnations

Cost of 1 tulip = $5

Cost of x tulips = 5x

Cost of 1 carnation =$3

Cost of y carnations = 3y

We are given that she does not want to spend more than $45.

So, She can spend less than or equal to 45

So, required inequality :[tex]5x+3x \leq 45[/tex]

So, Option B is true

[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations

Answer:

it would be 5x + 3y <= 45

Step-by-step explanation:

I literally just did this question on my math homework and I got it right .

pls help me homework

Answers

Answer:

The answer is 4 days

Step-by-step explanation:

If the final amount is 12.60 then you would decide that by 3.15 to get to 4 sense 3.15 • 4 would be 12.60

At the school track meet, Dita ran 100 meters at a rate of How long did it take Dita to finish the race?
6.25 meters per second.
16 seconds
093.75 seconds
106.25 seconds
*help asap*

Answers

Answer:

the answer is (16 seconds)

Step-by-step explanation:

The time spent by Dita to finish the race is 16 seconds.

What is a word problem?

Word problems in mathematics are applications of arithmetic operations, variables, and the use of basic algebra in solving challenges in real life cases.

From the information given;

Dita ran a distance of = 100 meterSpeed used to cover the distance = 6.25 m/s

Using the relation;

[tex]\mathbf{Speed = \dfrac{distance}{time}}[/tex]

[tex]\mathbf{6.25 m/s = \dfrac{100 \ m }{time}}[/tex]

[tex]\mathbf{time = \dfrac{100\ m }{6.25 \ m/s}}[/tex]

time = 16 seconds

The time spent by Dita to finish the race is 16 seconds.

Learn more about word problem here:

https://brainly.com/question/25693822

can you help me????????????

Answers

Answer:

120

Step-by-step explanation:

This shape is made out of two figures, a rectangle with sides 20 and 3.5 and a parallelogram with height 2.5 and base 20. 2.5*20+20*3.5=50+70=120 cubic centimetres. Hope this helps!

I think the answer is 120

If you compare the red triangle to the blue triangle are the figures similar, congruent, neither, or it is impossible to tell?

Answers

Answer:

Congruent

Step-by-step explanation:

Congruent figures are all figures that have the same number of sides, with the same length, and the angles between the sides have the same values.

Answer:

Congruent

Step-by-step explanation:

Question 1
2 pts
P is between Jand K. The distance between Jand Pis 7 more than 3 times the distance
between P and K. If JK = 55, what is PK?

Answers

Answer:

29

Step-by-step explanation:

The parallelogram shown below has an area of 404040 units^2 2 squared.

Find the missing base.

Answers

Question:

The parallelogram shown below has an area of 40 units squared.

Find the missing base.

Answer:

See Explanation Below

Step-by-step explanation:

The question is incomplete as the diagram which shows the dimension of the parallelogram is not attached.

However, I'll give a general explanation on how to get the base of the parallelogram. If you follow this explanation, you'll get the right answer regarding your question.

The area of a parallelogram is calculated as thus.

Area = Base * Height

Given that the area = 40 units²

Let's assume the height of the parallelogram is 10 unit.

All you need to do is to plug in these values in the formula above..

Area = Base * Height becomes

40 = Base * 10

Divide both sides by 10

40/10 = Base * 10/10

4 = Base

Hence, Base = 4 units

Or take for instance the height is 5 units.

You'll still follow the simple steps as it is above.

Area = Base * Height becomes

40 = Base * 5

Divide both sides by 5

40/5 = Base * 5/5

8 = Base

Hence, Base = 8 units

Answer:

8 (above explanation)

Step-by-step explanation:

Will give brainliest answer

Answers

Answer:

4

Step-by-step explanation:

diameter = 2r

r = radius

radius = 2

2 * 2 = 4

Answer:

4 units

Step-by-step explanation:

the radius of the circle is 2 units. and the radius if half the size of the diameter.

so if we did 2 units × 2, that would give you 4 units.

therefore the answer is

4 units

i hope this helps you! <3

William earns $13 an hour working theater last week he worked h hours at the concession stand and three times as many hours at the ticket counter.Write and simplify an expression for the amount of money William earned last week.



PLEASE HELP IT IS DUE IN 30 min. And explain why

Answers

Williams earns $13

(h+3h)*13 = 4h*13 = $ 52h

Jack divided his fortune of $92,000 into 8 equal parts. He gave 4 parts to his wife, 1 part to his son and divided the remaining 3 parts equally among 5 charities.
How much more money did his son get than each charity?

Answers

Answer:

4,600

Step-by-step explanation:

92,000/8= 11500

11500 x 4= 46000 to his wife

11500 for the son

92000-57500= 34500

34500/5= 6,900 each charity

11500-6900= 4600 is how more he is getting than each charity

Answer:

4600 more money

Step-by-step explanation:

92000 ÷ 8 = 11500

1 part to his son

3(11500)= 34500

34500 ÷ 5 = 6900

11500-6900= 4600

A student spent 4/7 of an hour each evening reading a book about whales if it took the student 9 evenings to finish the book how many hours in all did the student spend reading
5 1/7 6 1/7 5 2/7

Answers

Answer:

5 1/7

Step-by-step explanation:

Look at the attachment

A pool measuring 8 meters by 24 meters is surrounded by a path of uniform
width, as shown in the figure. If the area of the pool and the path combined is
960 square meters, what is the width of the path?​

Answers

Answer:

8 meters

Step-by-step explanation:

8 × 24 = 192, 960 - 192 = 728.

The width of the path will be  8, and the length of the path will be 91, but since the question is just talking about the path's width, then the answer is 8 meters.

of the 800 participants in a marathan,120 are running to raise money for a cause. how many participants in out of 100 are running for a cause

Answers

The answer is 150 participants
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Please help!!!!!!!!!!!!!!!!! what is the answer for the picture. Does the sign need to flip when solving?-2x = 22 How do you evaluate the website's author? I need help :/ The population density of Themville is 17.5 Thems per acre. Exactly 840 Thems live in Themville. How many acres is Themville?1470 acres48 acres14700 acres480 acres State banks that Jackson put federal money into were called:A. Specie CircularB. charter banksC. pet banks What is the circumference of a circle with a diameter of 85 feet? using 3.14for pi How did dictators like Hitler and Mussolini rise to power? FIRST CORRECT RESPONSE GETS BRAINLIEST!!!! Weebugs get energy storage molecule from eating greenleafs. What change to the greenleaf population could decrease the number of births in the weebug population?A) increase greenleafs B) decrease greenleafs who dug up the Qumran caves? PLEASE HELP ASAP! VERY IMPORTANT AND I NEED TO KNOW NOW! WILL MARK BRAINLIEST AND GIVE 10 POINTS!Gordon and Tess are trying to determine whether ABC and FGE can be proven congruent through rigid motions.Gordon says that ABC FGE because ABC can be reflected over the line x = 1 to create FGE.Tess says ABC FGE because ABC can be translated by the rule (x + 5, y - 7) to create FGE.Who is correct?A. Gordon onlyB. Tess onlyC. Both Gordon and TessD. Neither Gordon nor Tess PLEASE HELP ME A .strongB.parabolicC.weakD.negativeQuestion is in the picture Solve by the method of your choice 6x-2y= 16, 5x+y=24 Choose the best option to complete the rules: (1,0) I use the Simple Present for_______________. Typical signal words for the Simple Present are _______________. I use _______________ to form the negative. The verb be can have three forms in the Simple Present: _______________. Which entry is in the wrong position in the table? what action by the Federal government led to the protest of Pennsylvania farmers? answer with work pls!! Read the article Kelvin DoeA Young Engineer.Write a summary of the article in a separate document.In your first sentence, mention the author, the title of the text, and the central idea of the entire text.Write one sentence in your own words recapping the central idea for each paragraph.Conclude your summary with a restating of the central idea of the article.Arrange your sentences into a paragraph.Keep personal opinions out of the summary.Save your work to your computer or drive.Submit your work in 01.10 Summarize It! Islam is the most common religion in Central Asia. Where did Islam first come from?A. AfricaB. the Middle EastC. EuropeD. North America The classical dichotomy and the neutrality of money The classical dichotomy is the separation of real and nominal variables. The following questions test your understanding of this distinction. Maria spends all of her money on paperback novels and beignets. In 2011 she earned $27.00 per hour, the price of a paperback novel was $9.00, and the price of a beignet was $3.00. Which of the following give the nominal value of a variable? 1-The price of a beignet is $3.00 in 2011. 2-Maria's wage is $27.00 per hour in 2011. 3-The price of a beignet is 0.33 paperback novels in 2011. Which of the following give the real value of a variable? 1-The price of a paperback novel is 3 beignets in 2011. 2-Maria's wage is 9 beignets per hour in 2011. 3-The price of a paperback novel is $9.00 in 2011. Suppose that the Fed sharply increases the money supply between 2011 and 2016. In 2016, Maria's wage has risen to $54.00 per hour. The price of a paperback novel is $18.00 and the price of a beignet is $6.00. In 2016, the relative price of a paperback novel is _________ Between 2011 and 2016, the nominal value of Maria's wage (increases/decreases/remains the same) and the real value of her wage ____________Monetary neutrality is the proposition that a change in the money supply ________ nominal variables and ______ real variables.