1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pychu [463]
1 year ago
9

A sine function has an amplitude of 3, a period of pi, and a phase shift of pi/2. What is the y-intercept of the function?

Mathematics
1 answer:
jarptica [38.1K]1 year ago
5 0

Based on the calculations, we can logically deduce that the y-intercept of this sine function is equal to: A. 3.

<u>Given the following data:</u>

  • Amplitude = 3
  • Period = π
  • Phase shift = π/2

<h3>How to determine the y-intercept of this function?</h3>

Mathematically, a sine function is modeled by this equation:

y = Asin(ωt + ø)

<u>Where:</u>

  • A represents the amplitude.
  • ω represents angular velocity.
  • t represents the period.
  • ø represents the phase shift.

Also, the period of a sine wave is given by:

t = 2π/ω

2 = 2π/ω

ω = 2

Substituting the given parameters into the equation, we have;

y = 3sin(2t + π/2)

At t = 0, we have:

y = 3sin(2(0) + π/2)

y = 3sin(π/2)

y = 3sin(90)

y = 3 × 1

y = 3.

In conclusion, we can logically deduce that the y-intercept of this sine function is equal to 3.

Read more on phase shift here: brainly.com/question/27692212

#SPJ1

You might be interested in
Dos triángulos son semejantes, si sus ángulos son iguales y sus lados proporcionales. Verdadero o falso?
iren2701 [21]

Answer: verdadero.

Step-by-step explanation:

En geometría se dice que dos figuras son semejantes si tienen la misma forma pero no necesariamente el mismo tamaño.

Ahora, lo que define la forma de un triángulo son sus ángulos, entonces si dos triángulos tienen los mismos ángulos, estos triángulos van a tener la misma forma.

Y los lados siendo proporcionales entre ellos (recordar que una relación proporcional es y = k*x) habla de la relación entre los tamaños de los dos triángulos.

Entonces si, "dos triángulos son semejantes, si sus ángulos son iguales y sus lados proporcionales" es verdadero.

5 0
2 years ago
What is 4 1/3 minus 3 2/3?​
djyliett [7]

Answer:

Sale 2/3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Can someone please help me with this problem!
Anna71 [15]

Answer:

11 yards

Step-by-step explanation:

The volume of a cone formula is:

V=\frac{1}{3}\pi r^2 h

Where V is the volume,

r is the radius (half of diameter)

h is the height

Given,

h = 15

V = 475.17

We find the radius (r) first by substituting given values:

V=\frac{1}{3}\pi r^2 h\\475.17=\frac{1}{3}\pi r^2 (15)\\475.17=5\pi r^2\\r^2=30.25\\r=5.5

The radius (r) is 5.5 yards

We need the diameter, which is DOUBLE THE RADIUS, so diameter would be:

Diameter = 5.5 * 2 = 11 yards

8 0
2 years ago
PLEASEE HELPP MEEE WITH NUMBERSSS 9 AND 10
insens350 [35]

Answer:

hi dont report me we are friends can i get brainliest plzz?

Step-by-step explanation:

5 0
3 years ago
Find −1/5+17/10. Please help me!
alina1380 [7]
I got 1.5, but I could be wrong.
7 0
3 years ago
Other questions:
  • John always wears a shirt, pants, socks, and shoes. He owns
    10·1 answer
  • Write an equation that gives the proportional relationship of the graph. A) y = 1 8 x B) y = 8x C) y = 9x D) y = 72x
    13·2 answers
  • You have a balance of $4,500 on your credit card. The interest rate is 12% (1% per month). The late payment fee is $40. You miss
    7·1 answer
  • How do you do rotation of the origin ?
    5·1 answer
  • Solve the equation 100=5x
    6·2 answers
  • Please help me. What is the y intercept of the graph shown below?
    8·1 answer
  • Quiz! Help!
    7·1 answer
  • Find the area of a rectangle that is 4-inches-wide and 15-inches-long.
    10·2 answers
  • Identify what property is 17 + 54 + 6?
    7·1 answer
  • A store is having a 20 percent off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of h
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!