write a sine function that has a midline of 3, an amplitude of 2 and a period of 3pi/4

Write A Sine Function That Has A Midline Of 3, An Amplitude Of 2 And A Period Of 3pi/4

Answers

Answer 1

Answer:2sin(8/3x)+3

Step-by-step explanation:

Answer 2

The required sine function is [tex]\bold{y=2~sin(\frac{3\pi}{4} x)+3}[/tex]

What is midline?

"It is the horizontal center line about which the function oscillates above and below. "

What is amplitude?

"It is the distance between the highest point and midline."

What is time period?

"It is the length of one complete cycle of the curve."

What is vertical shift?

"It is the distance between midline and x-axis."

What is equation of sine graph?

"The generalized equation for a sine graph is as follows:

[tex]y = A~sin(B(x + C)) + D[/tex]

where, amplitude = A

period = 2π/B

phase shift = C

vertical shift = D"

For given function,

A sine function that has a midline of 3, an amplitude of 2 and a period of 3pi/4

A = 2

T = [tex]\frac{3\pi}{4}[/tex]

In this case, the midline is 3

⇒ D = 3

Using the generalized equation of sine function,

[tex]\Rightarrow y = A~sin(B(x + C)) + D\\\\\Rightarrow y = 2~sin(\frac{3\pi}{4} (x + 0)) + 3\\\\\Rightarrow y=2~sin(\frac{3\pi}{4} x)+3[/tex]

Therefore, the required sine function is [tex]\bold{y=2~sin(\frac{3\pi}{4} x)+3}[/tex]

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Related Questions

Sheldon spins the two spinners below one time what are the chance he will spin 3 or c ?

Answers

Answer:

[tex]P(3\ or\ c) = 0.45[/tex]

Step-by-step explanation:

Given

See attachment for spinner

Required

[tex]P(3\ or\ c)[/tex]

From the first spinner, we have:

[tex]S = \{1,2,3,4,5\}[/tex] --- Sample Space

[tex]n(S)=5[/tex]

So, P(3) is:

[tex]P(3) = \frac{n(3)}{n(S)}[/tex]

[tex]P(3) = \frac{1}{5}[/tex]

[tex]P(3) = 0.20[/tex]

From the second spinner, we have:

[tex]S = \{a,b,c,d\}[/tex]

[tex]n(S) = 4[/tex]

So, P(c) is:

[tex]P(c) = \frac{n(c)}{n(S)}[/tex]

[tex]P(c) = \frac{1}{4}[/tex]

[tex]P(c) = 0.25[/tex]

The required probability is then calculated as:

[tex]P(3\ or\ c) = P(3) + P(c)[/tex]

[tex]P(3\ or\ c) = 0.20 + 0.25[/tex]

[tex]P(3\ or\ c) = 0.45[/tex]

Meg withdrew $300 from her account on Saturday. Then she deposited $174.83 into her account on Sunday. Meg wants to know how much would be in her brother's account if he has double her balance.
- A = -125.17
- B = -250.34
- C None of the above
Pls answer quick!!

Answers

−300 + 174.83 = -125.17. A is the answer!


Si en un examen 27 preguntas son correctas el 90%, cuántas preguntas son en total?​

Answers

Respuesta:

30

Explicación paso a paso:

Número total de preguntas = 100%

Número de preguntas correctas = 27

Porcentaje de aciertos = 90%

Por eso,

Si 90% = 27

Luego ; 100% = x

Multiplicar en cruz:

0,9 veces = 27

x = 27 / 0,9

x = 30

Número de preguntas = 30

CAN SOMEONE HELP ME PLEASE ASAP

Answers

Answer:for the permieter dont you just add both sides?

Step-by-step explanation:

The premier would be y=Mx+b

In the paper airplane shown , ABCD=EFGH, m

Answers

Answer:

i would think it would be the same as angle bcd so 90

Step-by-step explanation:

Help. No links. Ty :3

Answers

Answer:

334

Step-by-step explanation:

Math! Help Marking brainliest if it's correct and Explain​

Answers

Answer:

Option C : Step 3

After harvesting, she weighs each pumpkin on a scale and records its height

Plz help me well mark brainliest if correct!!.....

Answers

Answer:

9 inches

Step-by-step explanation:

9 times 6=54

Show work for this equation

Answers

Answer:

49ft

Step-by-step explanation:

Find x by using

cos38=x/62

C u m s t e r g o i n t r e b a r e de pe b r a i n l y?

Answers

Yes, 12345678910112121414127272771819292

Answer:rf JAMES CHARLE's?!?

Step-by-step explanation:

Use two unit multipliers to convert 4000 square inches to square feet.

Answers

Answer:

(4000 in^2) * (1 ft/12 in)^2 = 27 7/9 ft^2

Step-by-step explanation:

4,000 Square Inches =

27.777778 Square Feet

simplify 1/3 : 2.5 : 3 3/4​

Answers

Answer:

1/3x3 3/4  /2.5 = 0.3

A. 1/3
B. 1
C. 2
D. 3/1
E. 1/2
F. 2/3

Answers

Answer:

B

Step-by-step explanation:

the graph is completely proportional so the answer would be 1

On Tuesday, 14 students handed in a permission slip for a field trip. On Thursday, twice as many students handed in their permission slip than on Tuesday. On Friday, an additional 7 students turned in their permission slip. What expression could be used to find the total number of permission slips handed in?
14 x 2 + 7
14 + (2 x 14) + 7
14 + (2 x 7)
14 ÷ (2 x 7) + 14

Answers

14+(2x14)+7 is the correct answer.

The planet Uranus has a radius of 25,362 km, and planet Mars has a radius of 3,390 km. How many times bigger is the volume of Uranus than Mars? Assume that both planets are spheres.

Round your answer to one decimal place.

Answers

Answer:

ranus is a large planet with a volume of 6.833 x 1013 cubic kilometers. You could fit a little more than 63 Earths inside of Uranus, but like the other gas giants, it is not very dense. Comprised mostly of gas, the planet is only about 14.5 times more massive than Earth is.

Step-by-step explanation:

^

Given a circle with a circumference of 30pi inches, solve for the exact area of a sector in terms of pi, whose central angle is one-fifth of the measure of the
circle.

Answers

30 pi inches divided by the one fifth angle is gonna be 6

The 7 times the sum of a
number and 6 IS 63

Answers

Answer:

Missing number = 3

Step-by-step explanation:

Let [tex]x[/tex] be the missing number. We have the following:

[tex]7\cdot (6+x)=63,\\6+x=9,\\x=\boxed{3}[/tex]

Simplify the expression:
62^7 +1 + 6xy + 8z^7 + 9 + 6yx

I WILL GIVE BRAINLIEST.

Answers

Answer: 62^7+10+12xy+8z^7

find the slope intercept form (y=mx+b)

Answers

Answer:

5/9??? I think thats the answer

what is (20)+(475)? I need it now​

Answers

ur answer is going to be 495

3 x 1/2 in fraction form

Answers

Answer:

3*1/2= 3/2

Step-by-step explanation:

[tex]\frac{3}{1}[/tex]*[tex]\frac{1}{2}[/tex] = 3/2

3*1/2= 3/2

3 is equal to 3/1

we then directly multiply

equation: (3/1)(1/2)

(3/1)(1/2)

3*1 = 3

1*2= 2

3/2 or 1 1/2.

How do you write in fraction form?

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenth place, so we place 6 over 10 to create the equivalent fraction, 6/10.

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HELP I NEED TO DO THIS NOW

Answers

Answer: The answer is 1:2, i hope it helps.

5c + 2d^2 if c = 6 and d = 3

Answers

Answer:

48

Step-by-step explanation:

Substitute c=6 and d=3 in your formulas

[tex]5*6 + 2*3^{2}\\ 30 + 18\\48[/tex]

HELPP ASAP DONT SEND A FILE PLS WHATS THE RULE FOR THIS TRANSFORMATION FOR ROATIONS QUESTION 5 ? I ONLY A FEW MINUTES PLZ HELP

Answers

Answer:

90-degree clockwise rotation: (x,y)⇒(y,-x)

Step-by-step explanation:

For D⇒D', (0,-3)⇒(-3,0)

For E⇒E', (2,-1)⇒(-1,-2)

For F⇒F', (5,-3)⇒(-3,5)

We can see that the pattern here is (x,y)⇒(y,-x), which is the rule for a 90-degree clockwise rotation.

if n is an integer,what is the sum of the next three consecutive even integers greater than 2n?​

Answers

Answer:

6n + 12

Step-by-step explanation:

Given an integer n, the 3 consecutive even integers greater than 2n are 2n+2, 2n+4 and 2n+6

Taking their sum;

Sum = (2n+2)+(2n+4)+(2n+6)

Sum = 2n+2n+2n+2+4+6

Sum = 6n + 12

Hence the sum of the 3 consecutive even integers greater than 2n is 6n+12

LE
11. The diagram shows two night-angled triangles, joined together along a common side
AB = 10-8 cm, BC = 14 4 om and CD = 24 cm.
24 am
10-8 cm
B
14-4 cm
Diagram noi drawn to scale
Calculate the area of triangle ACD.
You must show all your working.

Answers

Answer:

216 cm²

Step-by-step explanation:

Area of ∆ACD = ½*CD*CA

CD = 24 cm

CA = ?

Use pythagorean theorem to find CA.

Thus:

CA² = AB² + BC²

Substitute

CA² = 10.8² + 14.4² = 324

CA = √324

CA = 18 cm

Area of ∆ACD = ½*CD*CA

Substitute

Area = ½*24*18

= 216 cm²

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What value of x satisfies this equation? 1.5(4)^2x=12 Round your answer to the nearest hundredth. The value of x is .

Answers

Answer:

O.75

Step-by-step explanation:

The value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.

What is integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have an equation:

[tex]\rm 1.5(4)^2^x=12[/tex]

[tex]\rm (4)^2^x=8[/tex]

[tex]\rm (2^2)^{2x}= 2^3[/tex]

[tex]\rm 2^{4x}=2^3[/tex]

4x = 3  (equating powers of same base)

x = 3/4

Thus, the value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.

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The answer to the above question

Answers

Answer:

Step-by-step explanation:

Since our interval is given as it is, we are in QIII. That interval is equivalent to 270 degrees to 360 degrees, which is QIII. If we draw this right triangle in QIII and label it accordingly, the side adjacent to the reference angle is sqrt2 and the hypotenuse is 2. We know this because the cosine ratio is defined as the side adjacent to the reference angle over the hypotenuse of the right triangle. That means that we have to find the missing side in order to determine the other 2 main trig ratios. Using Pythagorean's Theorem, we have

[tex]2^2=\sqrt{2}^2+b^2[/tex] and

[tex]4=2+b^2[/tex] so

[tex]b=\sqrt{2}[/tex]. But since it is for a value that, in QIII is negative, it is [tex]-\sqrt{2}[/tex]

Now we can find the sin and tan of that reference angle. Sin is defined as the side opposite the reference angle over the hypotenuse, so

[tex]sin\theta=\frac{-\sqrt{2} }{2}[/tex] and tan, which is defined as side opposite the reference angle over the side adjacent to the reference angle, then

[tex]tan\theta=\frac{-\sqrt{2} }{\sqrt{2} }=-1[/tex]

Triangle ABC has coordinates A(-3, 2), B(-2, 4), and C(-2, 1). If the triangle is reflected over the y-axis, what are the coordinates of A'?

Answers

Answer:

A=3, 2

B= 2,4

C= 2, 1

If i'm not wrong

Point A(-3,2)) reflected over the y-axis becomes: A'(3,2).

Point B(-2,4) reflected over the y-axis becomes: B'(2,4).

Point C(-2,1) reflected over the y-axis becomes: C'(2,1).

help please!! really easy math. <3

Answers

Answer:

y = x+5

Step-by-step explanation:

Answer:

[tex]y = x + 5[/tex]

Step-by-step explanation:

GIVEN :-

Slope of the line (denoted by 'm') = 1y-intercept of the line (denoted by 'c') = 5

TO FIND :-

Equation of line in slope-intercept form

FACTS TO KNOW BEFORE SOLVING :-

Lets say there's a line whose slope is 'm' & y-intercept is 'c'. So, the equation of line in slope-intercept form is → [tex]\boxed {y = mx + c}[/tex]

SOLUTION :-

By using the basic idea of slope-intercept form , the equation of line given in the question is :-

[tex]y = (1 \times x) + 5[/tex]

[tex]=> y = x + 5[/tex]

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