Write a cosine function for the graph.


a.
y= 4 cos 2theta
c.
y= -4 cos 2theta
b.
y= 4 cos theta/2
d.
y= -4 cos theta/2

Write A Cosine Function For The Graph. A.y= 4 Cos 2theta C.y= -4 Cos 2theta B.y= 4 Cos Theta/2 D.y= -4

Answers

Answer 1

Answer:

Correct answer: y= 4 cos 2theta

Step-by-step explanation:

The Cosine Function

The general form of the cosine is

[tex]Y=A.cos(w\theta+B)[/tex]

where A is the amplitude, w is the angular frequency and B is the phase shift

The amplitude is the positive top value of the sinusoid or the most negative value. Since the sinusoid goes from -4 to 4, the amplitude is 4, thus

[tex]Y=4cos(w\theta+B)[/tex]

To find B and w, we use two points from the graph (0,4) and [tex](\pi/4,0)[/tex]:

[tex]4=4cos(w\times0+B)[/tex]

Simplifying

[tex]1=cosB[/tex]

Thus B=0

Now for the second point

[tex]0=4cos(w\times \pi/4)[/tex]

Or equivalently

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

Thus

w=2

Then, the cosine function is

[tex]Y=4cos2\theta[/tex]

Correct answer: y= 4 cos 2theta


Related Questions

Which expression are solution to the equation 2.4y=13.75

Answers

Final answer:

The solution to the equation 2.4y=13.75 is found by isolating the variable y, which gives us y = 5.729167.

Explanation:

The question asks for the solution to the equation 2.4y =13.75. To solve this equation, we simply need to isolate the variable y. This can be done by dividing both sides of the equation by 2.4.

So, now the equation becomes y =13.75 ÷ 2.4.

After performing the division, you get y = 5.729167. Thus, y=5.729167 is the solution to the equation 2.4y=13.75.

Learn more about Solution of equation here:

https://brainly.com/question/32885764

#SPJ11

If 5 worksites take 31.5 hours to prepare, how long will it take to prepare 13 worksites

(Answer to be in hours pls)​

Answers

Answer:

81.9 hours.

Step-by-step explanation:

5 work sites take   31.5 hours to prepare, so

1   work sites take   31.5 / 5 hours to prepare, and

13  work sites take .  (31.5  * 13) / 5  hours to prepare

=  409.5 / 5

=  81.9 hours.

31.5%5=6.3
6.3*13= 81.0

Suppose a basketball player typically makes one-third of his foul shots. Which simulation could be used to generate frequencies and determine the probability that the player will make his next two foul shots?

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Roll two fair dice, when a 1 or 2 is rolled for both dice simultaneously it is recorded as both foul shots being made. This process is repeated for 50 trials.

The probability of a 1 or 2 from a roll of a die is

2

6

or

1

3

which equals the probability of the player making a single foul shot. Therefore, the compound event of two foul shots being made is equal to a 1 or 2 being rolled on both dice simultaneously, (

1

3

)(

1

3

) =

1

9

.

How many times can 25 fit into 246

Answers

Answer:

9.84 times

Step-by-step explanation:

246÷25= 9.84

Answer:

9, or more specifically, 9.84

Step-by-step explanation:

25 x 9 = 225.

25 x 10 = 250, which is too much.

Hope this helps!

3) A TREE CASTS A SHADOW THAT IS 43 FEET LONG. MARCO. WHO IS 6 FEET TALL. CASTS A SHADOW 10
FEET LONG. HOW TALL IS THE TREE?

Answers

Answer:

Step-by-step explanation:

25.8

6 out of 10 is 60% so 60% percent of 43 is 25.8

The height of the tree is 25.8 feet which is casting a shadow of 43 feet long.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, A tree casts a shadow that is 43 feet long, and boy cast shadow of 10 feet who is 6 feet tall.

Assuming the height of the tree to be x.

43 : 10 : : x : 6.

43/10 = x/6.

10x = 258.

x = 25.8 feet.

So, the height of the tree is 25.8 feet.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ2

What is the solution to the system of equations below?
y=3x-4 and Y =-2x-9

A(-2, -5)
B(-2,-3)
C(2,-3)
D(2,-13)

Answers

C(2,-3)

That is your answer

Thank you for choosing brainly

My answer might be wrong

3=3/4(b-8)
Please help me thank you!

Answers

So you need to isolate/get "b" by itself in the equation:

[tex]3=\frac{3}{4}(b-8)[/tex]       Distribute/multiply 3/4 into (b - 8)

[tex]3=(\frac{3}{4}(b))+(\frac{3}{4}(-8))[/tex]

[tex]3=(\frac{3}{4} b)+(-6)[/tex]           Don't know which goes into the parentheses....think the one above makes more sense...maybe....sorry

[tex]3=\frac{3}{4} b-6[/tex]           Add 6 on both sides

[tex]9=\frac{3}{4} b[/tex]        Multiply the reciprocal of 3/4 to get rid of the fraction and get b by itself, which would be 4/3  [basically flipping the fraction or switching the numerator and the denominator]

[tex]\frac{36}{3} =b[/tex]            Simplify the fraction

12 = b

I really don't get it can you give me the answer then explain why it is that one please ​

Answers

Answer:

[tex]\frac{100}{9}[/tex] is the answer.

Step-by-step explanation:

Well the first thing we would do is simplify all the exponents first inside the parenthesis. So 2^-3 is equal to 1/8. To solve negative exponents you would just divide the number instead of multiply, so 2 divided by 2 divided by 2 is equal to ⅛ or .125

Next would be to do the 2^-9. This would equal 1/512

Now would be to simplify 5^0. Anything to the power of 0 is always one. So now we simplify all the products meaning 7*5*2 and 7*3.  

Now we would simplify both fractions.

The picture are pretty much self explanatory. If you have any questions feel free to ask in the comments - Mark

Also when you have the chance please mark me brainliest.

Answer:

e (i said this so the other dude could be mark brainlist)

Step-by-step explanation:

Cecilia plots the points (–2, 2), (–2, –2), (3, 2) and (3, –2) in the coordinate plane. She connects the points to form a polygon. Explain how she could find the distance around the figure.

Answers

Answer:

The polygon that is formed is a rectangle. Because all sides are horizontal or vertical line segments, she can count to find the distance. She should find the distance of each side and add them together. The total distance around the rectangle is 18 units.

Step-by-step explanation:

The calculation of the distance between the points is simplified, given

that the points are on the same perpendicular or horizontal line.

Correct response:

The distance around the figure is the sum of the lengths of the sides.

Details on how to find the distance around the figure

The given points can be presented as follows;

A(-2, 2), D(-2, -2), B(3, 2), and C(3, -2)

By observation, given that there are two pairs of points that have the

same x-coordinates, and two pair of points have the same y-coordinates,

we have;

The shape of the figure is a rectangle.

The distance between two points is given by the difference between the variables that are not the same as follows;

Distance between point (-2, 2), and (-2, -2), AD = 2 - (-2) = 4

Distance between points (3, 2), and (3, -2), BC = 2 - (-2) = 4

Distance between points (-2, -2), and (3, -2), CD  = 3 - (-2) = 5

Distance between points (-2, 2), and (3, 2), AD = 3 - (-2) = 5

The distance around the figure is; AD + BC + CD + AD = 4 + 4 + 5 + 5 = 18

Learn more about the distance between two points on a coordinate plane here:  

https://brainly.com/question/14039630

convert the rate 175 miles per 5 gallons to feet per quart.​

Answers

Answer: 46200 feet per quart.

Step-by-step explanation:

We know that 1 gallon = 4 quarts

1 mile = 5280 feet

Therefore , 5 gallons = 5 x 4 quarts

= 20 quarts                 (i)

175 miles = 175 x  5280 feet

i.e. 175 miles  = 924000 feet                    (ii)

Now , 175 miles per 5 gallons = [tex]\dfrac{\text{ 175 miles }}{\text{5 gallons}}[/tex]

[tex]=\dfrac{ 924000 \text{ feet}}{\text{20 quarts}}[/tex]    [From (i)and (ii)]

[tex]\dfrac{46200\text{ feet }}{1\text{ quart}}\\\\=46200\text{ feet per quart}[/tex]

Hence, 175 miles per 5 gallons = 46200 feet per quart.

Answer:

175 miles per 5 gallons = 46200 feet per quart.

50 POINTS!!!!!!!!!!!!!
Solve 4x+2 = 12 for x using the change of base formula log base b of y equals log y over log b.

Answers

Answer:

2.5

Step-by-step explanation:

You earned a 75% on a test. You answered 24 questions correctly.How many questions were on the test?

Answers

Answer: 32questions

Step-by-step explanation:let the total number of test = x

Therefore: 24/x * 100 = 75

x = 24*100 / 75

= 32questions

1.25 tons convert to pounds

Answers

Answer:

2,500 pounds

Step-by-step explanation:

one ton = 2000 pounds

1.25*2000= 2,500

Find constant proprotionality

Answers

Answer:

Cool

Step-by-step explanation:

Answer:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Step-by-step explanation:

Which expression is equivalent to 2 (14 x minus 3 y + 28 x + 12.2 minus 5 y minus 17.5)?

Answers

Answer:

The given expression simplifies to 84x - 16y - 35

Step-by-step explanation:

The given equation is 2 ( 14x - 3y + 28x - 5y - 17.5)

The given equation simplifies to

28x - 6y + 56x - 10y  - 35

which is equal to

84x - 16y - 35

Final answer:

The expression 2 (14x - 3y + 28x + 12.2 - 5y - 17.5) simplifies to 84x - 16y - 10.6.

Explanation:

The expression that is equivalent to 2 (14x - 3y + 28x + 12.2 - 5y - 17.5) can be simplified using the distributive property and combining like terms.

First, distribute the 2 to each term inside the parentheses:

2(14x - 3y + 28x + 12.2 - 5y - 17.5) = 28x - 6y + 56x + 24.4 - 10y - 35

Next, combine like terms:

28x + 56x = 84x

-6y - 10y = -16y

24.4 - 35 = -10.6

So, the simplified expression is 84x - 16y - 10.6.

Learn more about Simplifying expressions here:

https://brainly.com/question/36385368

#SPJ3

A gain of 5 yard



write an integer to represent each situation​

Answers

Answer:+5 or just 5

Step-by-step explanation:

How many extraneous solutions does the equation below have?
StartFraction 9 Over n squared + 1 EndFraction = StartFraction n + 3 Over 4 EndFraction
0
1
2
3

Answers

Answer:

We can say that the given equation has no extraneous solutions.

The correct option is A.) 0

Step-by-step explanation:

the given equation is [tex]\frac{9}{n^{2} +1} = \frac{n+3}{4}[/tex]

this equals to [tex]36 = (n^{2} +1)(n+3) = n^{3} + 3n^{2} + n + 3[/tex]

therefore [tex]n^{3} +3n^{2} +n+3 = 36 \hspace{0.3cm}\Rightarrow \hspace{0.3cm}n^{3} +3n^{2} +n-33=0[/tex]

Solving the equation through Newton-Raphson method we get n  [tex]\approx[/tex]  2.3845.

We can say that the given equation has no extraneous solutions.

Answer:

A. 0

Step-by-step explanation:

How many extraneous solutions does the equation below have?

StartFraction 9 Over n squared + 1 EndFraction = StartFraction n + 3 Over 4 EndFraction

0

1

2

3

Simplify the expression. 7y+3x+3-2y+6

What is the coefficient of y

What is the constant

Answers

The coefficient is 5
And the constant is 9

Answer:

Step-by-step explanation: combine like terms 7y minus 2y is 5y then combine 3 plus 6 which is 9 then u get 3x+5y+9

Two cars start from towns 805 miles apart and travel toward each other. They meet after 7 hours. Find the speed of each car if one travels 15 mph faster than the other.

Answers

Answer:

One car was going 50 mph and the other was going 65 mph.

Step-by-step explanation:

At a basketball practice you made 59 out of 80 shots. What percentage did you score

Answers

Answer:

You have scored 73.75 percentage

Step-by-step explanation:

Given:

Total number of shots =  80

Total number shot made =  59

To find:

The percentage of the score = ?

Solution:

The percentage of the score = [tex]\frac{\text{number of shots made}}{\text {total number of shots}} \times 100[/tex]

Now on substituting the values

The percentage of the score =[tex]\frac{59}{80} \times 100[/tex]

The percentage of the score =[tex]0.7375 \times 100[/tex]

The percentage of the score = 73.75 %

Which set of integers is not a pythagorean triple and are not the side lengths of a right triangle

Answers

Answer:

the side lengths

Step-by-step explanation:

Answer:

the answer is C) 69.you have to add 69 to -26 which gives you 96. in other word C) is the answer

Step-by-step explanation:

6.4 divided by 136.32

Answers

0.0469483568 is your answer.
Final answer:

To divide 6.4 by 136.32, you can use long division. The answer is approximately 0.0469.

Explanation:

To divide 6.4 by 136.32, you can use long division. Set up the problem with 6.4 as the dividend and 136.32 as the divisor. Start dividing by the highest place value of the divisor, which in this case is the hundreds place. The result is 0, since 136.32 does not go into 6.4 hundreds of times. Bring down the next digit, which is 4, and divide 43.2 (the current partial dividend) by 136.32. Repeat this process until you have the desired level of accuracy in your quotient.

The answer to 6.4 divided by 136.32 is approximately 0.0469 (rounded to four decimal places).

Learn more about Long Division here:

https://brainly.com/question/31377485

#SPJ2

Jarred wants to see the difference between the heaviest and lightest objects in his office.

Lamp : 9,451 g

Desk : 62 kg

Chair : 17 kg

Computer : 8,716 g


The difference between the heaviest and lightest object in jarreds office is ______ grams.​

Answers

Answer:

53.284 kg

Step-by-step explanation:

62 kg - 8.716kg = 53.284 kg

Hope it helps you in your learning process.

Answer:

53,284 grams

Step-by-step explanation:

Kilograms resemble a thousand grams. Therefore:

Desk = 62000

Chair = 17000

So then the heaviest object is the desk and the lightest is the computer.

So:

62000grams -8716grams = 53284grams

Find the difference 18,354 4,672

Answers

Answer:

18,354 - 4,672= 13,682

Step-by-step explanation:

I'm not sure what you meant but above is the answer of what I think you were asking.

The difference between 22,456 and 5,893 is 16,563.

Subtracting 5,893 from 22,456 involves determining the quantity that, when added to 5,893, yields 22,456.

To find the difference, we can follow these steps:

Subtract the numbers:

22,456 - 5,893 = 16,563

Therefore, the difference between 22,456 and 5,893 is 16,563.

Complete question:

Find the difference between 22,456 and 5,893.

What is 2 x 3-5 and how do you get that answer

Answers

2 x 3-5

= 6-5

= 1

1 is the answer

What is the area of the following circle?

the diameter is 10.

Answers

Answer: The area of the circle with a diameter of 10 cm is 78.5 cm2.

Answer: 78.5 units²

Step-by-step explanation: To find the area of a circle, start with the formula for the area of a circle.

Area = πr²

Notice that here, we're given the diameter instead of the radius. It's important to understand that the radius is equal to half of the diameter so the radius of this circle will be equal to half of 10 or 5.

So plugging into the formula, we have (π)(5)².

A common mistake is to plug 10 into the formula but remember that we must plug in the radius and not the diameter.

Multiplying, (5)² is equal to 5 x 5 or 25 so we have 25π.

So the area of the circle is 25π.

Now, remember that π is approximately equal to 22/7 or 3.14 so we can estimate the area of the circle by plugging in 3.14 for π.

So we have (25)(3.14) which is equal to 78.5 units².

Since there were no labels, I just add units to the end.

So the area of the circle is approximately equal to 78.5 units².

which of the following is a solution to the equation 16=4x-4?
a.-5
b.-4
c.5
d.16

Answers

Answer: C. 5

Step-by-step explanation:

Answer:

c.5

Step-by-step explanation:

16 = 4x -4

Collect like terms

16 + 4 = 4x

20 = 4x

Divide both sides by 4

20/4 = x

Therefore x = 5

Three times the sum of a number and 12 is 45 plz help!

Answers

This can be written as 3(n+12)=45, where n is the unknown number

3(n+12)=45 <- Starting Equation

3n+36=45 <- Distributive Property

3n=9 <- Cancel 36 on both sides

n=3 <- Divide both sides by 3

So n=3

Hope this helped!

Answer:

3

Step-by-step explanation:




What is the surface area of this triangular prism rounded to the nearest tenth?
A) 18.5 m2
B) 36.9 m2
C) 43.6 m2
D) 87.2 m2

Answers

Answer:

c

Step-by-step explanation:

i got it right

Answer:

C.

Step-by-step explanation:

I'm too lazy to do it here for an explanation.

I did it in my notebook and I got it right.

1. y = 5x + 1
4x + y = 10

Answers

Answer:

4x + 5x + 1 = 10

9x + 1 = 10

9x = 9

x = 1

y = 5(1)+1= 5+1= 6

(1,6)

Answer:

(1,6)

Step-by-step explanation:

Other Questions
3 points)2. Explain why the worker's role is unique.HELP please Ill make u the brainliest if right The amino acid glycine (H2NCH2COOH) has pK values of 2.35 and 9.78. Indicate the structure and net charge of the molecular species that predominate at pH 2, 7, and 10. Use the following structure format and add or remove protons and charges to provide your answer. A MOEMS (optical MEMS ) is a MEMS (Micro Electromechanical Systems) with an optical fiber channel that takes light generated from a laser diode. It also has a photo detector that measures light intensity variations and outputs voltage variations proportional to small mechanical device deflections. Additionally, a voltage input is capable of deflecting the device. The apparatus can be used as an optical switch or as a variable optical attenuator, and it does not exceed 2000 m in any dimension. What is Miranda's relationship to Prospero?OA. She is Prospero's sister.OB. She is Prospero's daughter.OC. She is Prospero's housemaid.OD. She is Prospero's wife. To map Earth's interior, geologists use a network of seismometers to chart seismic waves that originate in the earth's crust and ricochet around its interior, most rapidly traveling through cold, dense regions and slower through hotter rocks.(A) interior, most rapidly traveling through cold, dense regions and slower(B) interior, which travel most rapidly through cold, dense regions, and more slowly(C) interior, traveling most rapidly through cold, dense regions and more slowly(D) interior and most rapidly travel through cold, dense regions, and slower(E) interior and that travel most rapidly through cold, dense regions and slower What is the fastest and cheapest way to get around Paris Solve The inequality -p-4p>-10 Environmental obstacles encountered by settlers trying to farm the prairie during the second half of the nineteenth century What did anti federalists believe the constitution was lacking A trough has a trapezoidal cross section with a height of 5 m and horizontal sides of width 5/2 m and 5 m. Assume the length of the trough is 10 m. Complete parts? (a) and? (b) below.a) How much work is required to pump the water out of the trough? (to the level of the top of the? trough) when it is? full? Use 1000 kg/m3 for the density of water and9.8 m/s2 for the acceleration due to gravity. Draw a? y-axis in the vertical direction? (parallel to? gravity) and use the midpoint of the bottom of one edge of the trough as the location of the origin. For 0?y?5?, find the? cross-sectional area? A(y) in terms of y.b) Set Up the integral that gives the work required to pump the water out of the tank. PLZ SOME ONE ANSWER THIS QUESTIOnHow would you categorize Annes conflict about maturing?internal conflictexternal conflictuniversal themeworld awareness Each chef at "Sushi Emperor" prepares 151515 regular rolls and 202020 vegetarian rolls daily. On Tuesday, each customer ate 222 regular rolls and 333 vegetarian rolls. By the end of the day, 444 regular rolls and 111 vegetarian roll remained uneaten. Dominic and Matherson, a finance management company, lends money to Ebok, a fast food chain, in order to help Ebok market its new product. Dominic and Matherson provides financial support in the form of bonds. Which of the following financing options is being used by Ebok in the given scenario?(A) Long-term debt(B) Trade credit(C) Commercial paper(D) Factoring Which option is an example of a debt-funding source What is one expression that equals 1 A furniture salesperson earns 4.5% commission on every piece of furniture sold. The salesperson sells a sofa for $1000 and a chair for $200. What commission does the salesperson earn? Who can work on a fixed ladder that extends more than 24feet?Select the best optionOAny worker on a job siteoOnly supervisors on a job siteOnly senior workers on a job siteOOnly qualified climbers with additional training Write some code that uses a loop to read such a sequence of non-negative integers, terminated by a negative number. When the code exits the loop it should print the number of consecutive duplicates encountered. In the above case, that value would be 3. If you need to produce X-ray radiation with a wavelength of 1 . a. Through what voltage difference must the electron be accelerated in vacuum so that it can, upon colliding with a target, generate such a photon? (Assume that all of the electrons energy is transferred to the photon.) What is the equation of the line that has a slope of 4 and passes through the point (3,-10)