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
Julli [10]
2 years ago
7

The graph of a sinusoidal function intersects its midline at (0,−3)and then has a maximum point at (2,-1.5). Write the formula o

f the function, where x is entered in radians. f(x)= Please answer fast
Mathematics
1 answer:
amm18122 years ago
7 0

The <em>sinusoidal</em> function that represents the graph is equal to y = 1.5 · cos (2π · t/8) - 3.

<h3>How to derive a sinusoidal function </h3>

In this question we must derive a <em>sinusoidal</em> function based on two given points. <em>Sinusoidal</em> functions are <em>periodic</em> functions that uses <em>trigonometric</em> functions and have the following form:

y = A · cos (2π · x/T) + B      (1)

Where:

  • A - Amplitude
  • T - Period
  • B - Vertical midpoint

The <em>horizontal</em> distance between the midline and the <em>maximum</em> point is equal to a quarter of the period. Hence,

T = 4 · (2 - 0)

T = 8

The <em>vertical</em> midpoint and amplitude of the <em>sinusoidal</em> function are now calculated:

Vertical midpoint

B = - 3

Amplitude

A = - 1.5 - (- 3)

A = 1.5

Then, the <em>sinusoidal</em> function that represents the graph is equal to y = 1.5 · cos (2π · t/8) - 3.

To learn more on sinusoidal functions: brainly.com/question/12060967

#SPJ1

You might be interested in
Tina placed a 15 meter rope along one side of the bicycle path. She hung a ribbon on each end of the rope and every 3 meters in-
dusya [7]
Hello!

She placed 6 ribbons

2 at the ends and 5 every 3 meters
7 0
3 years ago
In one day, 18 people each with drew
Nuetrik [128]

Answer:

$1,800 was withdrawn because 18 * 100 = 1,800

7 0
3 years ago
Read 2 more answers
A guy wire supporting a radio tower is positioned 145 feet up the tower.
Nutka1998 [239]

the angle of the tower would be the coifficent

7 0
3 years ago
How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 80% antifreeze?
Georgia [21]

Answer:

The amount of water to be added is ¹/₄ gallon

Step-by-step explanation:

Given;

amount of pure antifreeze at 100% = 1 gallon

let the amount of water to be added with 0% antifreeze = (x) gallon

then, the amount of mixture at 80% antifreeze = (x + 1) gallon

For conservation of mass, we will have the following equation;

(1 x 1) + (0)(x) = 0.8(x +1)

1 = 0.8x + 0.8

0.8x = 1 - 0.8

0.8x = 0.2

x = 0.2 / 0.8

x = ²/₈

x = ¹/₄ gallon

Therefore, the amount of water to be added is ¹/₄ gallon

8 0
3 years ago
The volume of the figure below is 120 cubic inches. Solve for x
rosijanka [135]

Answer:

Step-by-step explanation:

Volume of triangular prism=120in³

Area of triangle ×length =120in³

1/2×6×x×4=120in³

12x=120

X=120/12=10in

8 0
2 years ago
Other questions:
  • How do you write 390% as a fraction or mixed number in simplest form?
    14·2 answers
  • Zara is serving a fresh pie. She starts by cutting the pit in half, and then cuts each half into 4 equal pieces. What fraction o
    14·2 answers
  • Which expression is equivalent to 5−4/4−3 ? −64<br><br> −1/64<br><br> 1/64<br><br> 64
    9·2 answers
  • Y³+3x²y+3xy²+y³-3x²y what is the answer
    6·1 answer
  • Round 25.789 to the nearest tenth
    10·2 answers
  • Select the equation that contains the points,  (−6,  5 2 ) (-6, 52)
    14·1 answer
  • Does anyone know any 7th grade math? cus i really need help with this.
    11·1 answer
  • Find dy/dx given that y = sin(cos(x))​
    5·1 answer
  • Help me fast please<br> lskrwe
    13·2 answers
  • A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of th
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!