Write a cosine function that has a midline of 3, an amplitude of 4 and a period
of pi.

Answers

Answer 1

Answer:

[tex]f(x)=4\cos(2x)+3[/tex]

Step-by-step explanation:

Using the general equation [tex]f(x)=a\cos(bx+c)+d[/tex], we already know that [tex]a=4[/tex] and [tex]d=3[/tex], but we need to find [tex]b[/tex] from the period:

[tex]\frac{2\pi}{|b|}=\pi\\ 2\pi=b\pi\\2=b[/tex]

Hence, the cosine function is [tex]f(x)=4\cos(2x)+3[/tex]


Related Questions

A new TV costs $675 and the finance rate is 9.5%. If a down payment of $75 is made
and the TV is financed for one year, what is the monthly payment?

Answers

Answer:

The monthly payment will be $54.75

Step-by-step explanation:

Hope this helps!

The answer will be 57 dollars. Because the down payment is 75 dollars, you will need to reduce that. Then it will be 600 dollars. Then you will pay 50 dollars per month. Then add finance! Hope this helps!!!

Jillian and Dawn are playing a game of miniature golf. In this game, the score on a hole is the number of putts it takes to get the ball into the hole. The winner is the player with the lowest score. After playing 18 holes, Jillian’s mean is 2.4 and Dawn’s mean is 3.3. Which explains who won the game?
Jillian won the game because her score varied less than Dawn’s score.
Jillian won the game because the person with the lower mean took fewer putts on average for each hole.
Dawn won the game because the person with the greater mean played better.
Dawn won the game because her mean absolute deviation was less than Jillian’s.

Answers

Answer:

Step-by-step explanation:

Discussion

This should be answered with the mean. The lower the mean, the lower the  score it took to get the mean. So B is the answer.

IT IS B OK LETS GO YES

What is the distance between point B and point C? Point C is 8.6 units.
A) 5 units
B) 2.1 units
C) 8.6 units
D) 4.1 units

Answers

Answer:

4.1 units

Step-by-step explanation:

A( -2,3)

B( 2,5)

C( 8.6)

can someone explain to me the letter or sign or variable after "Y"

Answers

Answer:

It is a symbol used to denote an angle (or something else)

Step-by-step explanation:

Alpha(α) is a greek letter, it's one of the letters used to denote angles. Other such letters you'll often see in math are Beta (β), Gamma (γ), Delta (δ), these are used to denote angles. Also, pi (π), which is a mathematical constant. The letters phi (φ) and theta (θ) are also used for angles very often, especially in formulas. You'll see some of these in physics too.

It can be used as variable too, not necessarily for angles, but it's mostly used for them.

im rlly frickin lost
pls help

Answers

Answer:

so far he has saved 27 dollars however he needs 33 more dollars

Step-by-step explanation:

okay so if it says "____ of x" you normally have to multiply (of is a hint)

so first lets see how much he saved

0.45(60) = 27

he saved 27 dollars so far. to find how much more he has to save, you have to do the amount he needs minus the amount he already has

sooo

60 - 27 = 33

uhhh im not sure what the graph table thing on the right is, but i hope this helps a little

edit: ohhhhh so in the table all you have to do is fill in the information. im sure u can do it, but if you still dont know how to just reply here and ill help!

A carnival charges $3 for kids and $10 for adults. On Saturday, there were 500 visitors, and the total amount taken at the gate was $3,600. The equation representing the number of visitors is k + a = 500, where k represents the number kids and a represents the number of adults. The equation representing the amount of money collected is 3k + 10a = 3,600. How many kids and adults visited the carnival? Part A Before solving this problem, decide which tool you’ll use to solve it. Which method for solving systems of linear equations is best for solving this problem? Explain your answer.

Answers

Answer: number of kids(k)=200

sand the number of adults(a)=300, visited the carnival.

The tool I used is called simultaneous equation and I used elimation method as the method.

Find the volume of the pyramid. Round to the nearest hundredth. The base has 5 sides The base is 110mm squared each side is 8 mm. Also the height is 11mm. Pleaseeeeeeeeeee try and do this.

Answers

The volume of the pyramid is the amount of space in it, and the volume of the pyramid is 403.33 mm³

How to determine the volume of the pyramid?

The given parameters are:

Base area = 110 mm²Base length = 8 mmHeight = 11 mm

The volume of a pyramid is:

Volume = 1/3 * Base area * Height

So, we have:

Volume = 1/3 * 110 * 11

Evaluate

Volume = 403.33

Hence, the volume of the pyramid is 403.33 mm³

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Please help me. 15 points

Answers

Answer:

360 feet

ft = 120 • 3 = 360 feet

Answer:

Your choice of 360 is correct.

Step-by-step explanation:

3 feet = 1 yard

120 times 3 =

360

Please mark Brainliest

Which expression is equivalent to the area of square A, in square inches?

Answers

Answer:

the required expression equivalent to the area of the square A in inches is (10² + 24²).

Step-by-step explanation:

Geri built a pencil box in the shape of a right rectangular prism. the amount of space inside of the box is 176 cubic inches. what is the height of geri’s pencil box? a rectangular prism with a length of 8 inches, width of 11 inches, and height of question mark. 2 inches 4 inches 8 inches 9 inches

Answers

The height of the pencil box is 2 inches

How to determine the height of the pencil box?

The given parameters are:

Volume = 176

Length = 8

Width = 11

The height of the pencil box is calculated using

Height = Volume/(Length * Width)

So, we have:

Height = 176/(8 * 11)

Evaluate

Height = 2

Hence, the height of the pencil box is 2 inches

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Answer:

2 Inches

Step-by-step explanation:

Good Luck

HII GIVING BRAINLIESST TO WHO EVER EXPLAINS AND HELPS ME THANK U

Answers

Step-by-step explanation:

we don't need to actually do the detailed area calculation.

all we need to consider is that an area, ANY area (for triangles, rectangles,...) is always the product or the sum of products of 2 dimensions (like side lengths).

the scaling factor of similar objects (incl. triangles of course) applies to each individual line, length, height or side.

so, when calculating the area of a similar figure, the scaling factor has to be multiplied in twice (once for every multiplied dimension) - making it the square of the normal single-dimensional scaling factor.

so, in other words, the area scaling factor is the square of the side scaling factor.

coming from A1 to A2 the area scaling factor is

80/45 = 16/9

the side scaling factor is then

sqrt(16/9) = 4/3

we have to multiply a side of A1 by 4/3 to get the corresponding side of A2.

and so, the ratio of A1 side lengths to A2 side lengths is

3:4

(the inverse, upside-down form of the scaling factor as a consequence of the question "how do I convert the 3 length units of A1 into 4 length units of A2 ?" by multiplying the 3 units by the scaling factor 4/3).

The circumference of a circle is 18π, what is the radius?

Answers

Answer: 9

Explanation: Because pi is included in the answer, you won't be multiplying pi with it.
The only number that equals to 18 is 9.
By using the formula for circumference is: 2πr
2 x 9 = 18
Add pi, 18π.

Which function has a domain of all real numbers?


Answers

Answer:

D

Step-by-step explanation:

[tex]( {2 x})^{ \frac{1}{3} } - 7 = \sqrt[3]{2x} - 7[/tex]

This pattern follows the rule multiply by 2. what other feature do you observe? 4, 8, 16, 32, 64, 128

group of answer choices

all terms are even because even x even = even.

all terms are odd because even x even = odd.

all terms are even because odd x odd = even.

all terms are even because odd x even = even.

Answers

Answer:A. All terms are even because even x even = even.

Step-by-step explanation:Hope It helps you have a good day.

Is it more reasonable to say that a pen weighs 2 ounces, 2 pounds, or 2 tons?​

Answers

Answer:

2 ounces

Step-by-step explanation:

2 pounds and 2 tons are a lot of weight to assume the weight of a pen.

Can anyone tell me the formula or way to solve this problem

Answers

[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]

Vectors u, v, and w are shown in the graph. What are the magnitude and direction of u + v + w?

Answers

Magnitude and direction of u + v + w is equals to 57.871 and 19°.

What is vectors?

"Vectors are those quantity of which represents both direction as well magnitude."

According to the question,

As shown in diagram we have,

u + v + w

   = (wcos30°)[tex]\^{i}[/tex] + (wsin30°)[tex]\^{j}[/tex] +(vcos20°)[tex]\^{j}[/tex] - (vsin40°)[tex]\^{i}[/tex] -(ucos40°)[tex]\^{i}[/tex] -(usin40°)[tex]\^{j}[/tex]

  = ( wcos30° - vsin40° - ucos40°)[tex]\^{i}[/tex] + (wsin30°+ vcos20° - usin40°)[tex]\^{j}[/tex]

   

Substitute the value of ║w║ = 40 ,║v║=60,and ║u║= 90 we get,

u + v +w

= (  40cos30° - 60sin40° - 90cos40°)[tex]\^{i}[/tex] + (40sin30°+ 60cos20° - 90sin40°)[tex]\^{j}[/tex]

= (20√3 - 20.5212 - 68.9440)[tex]\^{i}[/tex] + ( 20 +56.3816 - 57.8509)[tex]\^{j}[/tex]

= ( -54.8242)[tex]\^{i}[/tex] + (18.5307)[tex]\^{j}[/tex]

Therefore,

Magnitude = √(-54.8242)² +(18.5307)²

                  =√3349.0798

                  = 57.8712

   tanθ = ( 0.3380)

⇒θ = tan⁻¹ (0.3380)

     = 18.67

    ≈ 19°

Hence, magnitude and direction of u + v + w is equals to 57.871 and 19°.

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Select the correct answer. what is the y-intercept of f(x) = 3x 2? a. (9,0) b. (0,9) c. (0,-9) d. (9,-9)

Answers

The y-intercept of a line is the point where the line cuts the y-axis or the point where x = 0. The y-intercept of the line with the function y = 3x + 2 is (0, 2)

Intercept of a line

The y-intercept of a line is the point where the line cuts the y-axis or the point where x = 0.

Given the equation of a line f(x) = 3x +2

If x = 0, them;

f(0) = 3(0) + 2

f(0) = 2

Hence the y-intercept of the line with the function y = 3x + 2 is (0, 2)

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Answer:

answer is (0, 9)

Step-by-step explanation:

did the test. plato.

ur welcome buddy

which object is 3 1/2 inches loong

Answers

Answer:

ur mom

Step-by-step explanation:

expirence and funnes

Answer:

yello

Step-by-step explanation:

the  yellow one

Evaluate. (3/8+3/4)−(1/3+1/6)

Answers

Answer:

0.625

Step-by-step explanation:

You must first calculcate what is in between the parentheses. Firstly, you add 3/8 + 3/4 (as shown in the beginning) to get 1.125. Second, you add 1/3 plus 1/6 (shown in the second part of the equation) to get 0.5. Lastly, you're left with 0.625 after subtracting 0.5 from 1.125.

A rectangle and an equilateral triangle have the same perimeter

The perimeter of the rectangle is 2x+2(3x-1) inches

The perimeter of the equilateral triangle is 3(x+1) inches

Solve the value of x and the perimeter of each figure

Answers

Answer:

A rectangle and an equilateral triangle have the same perimeter

The perimeter of the rectangle is 2x+2(3x-1) inches

The perimeter of the equilateral triangle is 3(x+1) inches

Solve the value of x and the perimeter of each figure

10000x30 1000x30 100x30 10x 30

Answers

Answer:

300000

30000

3000

300

Step-by-step explanation:

Use the zero's trick for 10's.

The product of the given multiplications are 300000, 30000, 3000 and 300

What is multiplication?

Multiplication is when you take one number and add it together a number of times.

Example: 5 multiplied by 4 = 5 + 5 + 5 + 5 = 20. We took the number 5 and added it together 4 times. This is why multiplication is sometimes called "times".

Given that are four multiplication, 10000x30, 1000x30, 100x30 and 10x 30,

We know,

Multiplication by multiples of 10, 100, 1000, 10000:

We multiply the multiplicand by the non-zero digit of the multiplier. Then we add the same number of zero to the extreme right of the product as the multiplier has.

For example :-

26 × 10000 = 260000

524 × 10000 = 5240000

Therefore,

10000 x 30 = 300000

1000 x 30 = 30000

100 x 30 = 3000

10 x 30 = 300

Hence, the product of the given multiplications are 300000, 30000, 3000 and 300

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can you guys help me with this

Answers

why this thing says im rude

The sum of two numbers is 36. One number is 2 times as large as the other. What are the numbers?
Larger number:
Smaller number:

Answers

Let the first number be "x", and the 2nd number (which is twice as large as the other), be 2x.

Set the equation

2x + x = 36

Simplify. Combine like terms

(2x + x) = 36

3x = 36

Isolate the x. Divide 3 from both sides

(3x)/3 = (36)/3

x = 36/3

x = 12

The first number is 12

The second number is 2x. Replace x with 12. Multiply.

2x = 2(12) = 24

The second number is 24

Check: 12 + 24 = 36 (True)

Answer: 12 & 24

Does anyone know the length the height and the width of this object and also Based on the above values, the volume of the object ? pls someone help me

Answers

You would need to get a tape measure and measure

Triangle r q s is cut by line segment t v. line segment t v goes from side q r to side r s. the length of r v is x 10, the length of v s is x, the length of r t is x 4, and the length of t q is x minus 3. which value of x would make line segment t v is parallel to line segment q s? 3 8 10 11

Answers

The value of x that would make line segment T V is parallel to line segment Q S is where x = 10. (Option C)

What is a line segment?

In Mathematics, a Line Segment is a part of a line that has two endpoints.

The difference between a line segment and a line is that while the former has a starting and an endpoint, the latter does not. See the attached image.

What is the Step by Step solution to the above problem?

Step 1

Note that if QS is Parallel to TV, then both sides of the triangle must be proportionally divided by TV.

That is: RV/VS = RT/TQ.

Step 2 - replace the segments by the relevant equations

(X + 4)/(X- 3) = (X+10)/(X)

Step 3 - Cross Multiply

 x(x +4) = (x -3)(x +10)

Removing the parentheses, we have

 X² +4X = X² +7X -30; Subtract X² from both sides and we have;

4X = 7X - 30

Step 3 - Collect like terms by cross multiplying

-3X = -30 or

3X = 30

Divide both sides by three and we have:

X = 10

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Answer:

10 is the answer

Someone pls do this for me I give Brainly

Answers

Answer:

Kindly read through

Step-by-step explanation:

All have been solved step by step

please help i dont get it... (average rate of change)
10.
The graph shows the price, in dollars, of a new digital toy for different levels of supply.
(image provided)

What is the average rate of change?

Answers

Answer:

-3

Step-by-step explanation:

Formula for average rate of change :

A(x) = f(a) - f(b) / a - b

Solving :

A(x) = 115 - 85 / 5 - 15A(x) = 30/-10A(x) = -3

The resources used in the production of goods and services are limited so society must

Answers

Society must use the resources wisely without wasting any good.

What are resources?

The products and the services of daily use in the life of the human being are called the resources. It can be anything like a toothbrush, clothes, electronic products etc.

The basic necessity of human is food, water and electricity we must use them wisely because of the continuous increase in the population on th earth the resources are also decreasing. So we should not waste them unnecessarily.

Therefore Society must use the resources wisely without wasting any good.

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A bicycle store costs $2200 per month to operate. The store pays an average of $40 per bike. The average selling price of each bicycle is $80. How many bicycles must the store sell each month to break even?

Answers

Answer:

Step-by-step explanation:

120n=2400+60n is break-even point

60n=2400

n=40 bikes need to be sold monthly to break even!!!!!!!!!!!!

Other Questions
Read this excerpt from "Daedalus and Icarus."Daedalus and [Icarus] packed up their supplies and got ready to leave on the next boat. However, King Minos stopped them at the dock. "I would like you to stay, he said. "I have other projects for you to do. Then the king smiled kindly and held up two large bags of gold. "Will this persuade you? he asked."No, thank you, Daedalus replied. "Im not interested in another project.The kings face grew red, and he became very upset. "Perhaps I should tell the gods that you can create as well as they do. Will that persuade you to stay? the king asked. "You know how much they hate it when humans try to act like gods.Which best states the conflict in this excerpt?Daedalus wants to build something for the king, but the king does not offer Daedalus enough gold.Daedalus does not want to work for the king anymore, and the king is unhappy about that.Daedalus and Icarus are just about to leave the castle on a boat, but the king wants to talk to them.Daedalus and Icarus have been acting like gods, and the king threatens to tell the villagers about them. help me please I need it The quotient of (x4 3x2 4x 3) and (x2 x 3) is a polynomial. what is the quotient? how to make a decimal into a fraction Lorenzo increases all the prices on his restaurant menu by 8%After the increase, the price of lasagne is 9.45Work out the price of lasagne before the increase. For the reaction: P4 + 6C12 4 PC13What mass of PCl3 forms in the reaction of 75.0 g P4 with 275 g Cl2? 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