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
lara [203]
2 years ago
13

The table shows the highest daily temperature in degrees Fahrenheit averaged over the month for Cosine City, where m is the numb

er of months since January 2001. (m = 0 represents January 2001.)
A sine function is written to represent the data.

What is the amplitude, period, and vertical shift of this equation?

Drag a value into each box to correctly complete the statements.

Mathematics
1 answer:
Bezzdna [24]2 years ago
8 0

Answer:

Part A) The amplitude = 24

Part B) The period = 24

Part C) Vertical shift = 36

Step-by-step explanation:

The general equation of the sine function:

y = A sin (Bx) + C

Where A is the amplitude and B = 360°/Period  and C is the vertical shift

See the attached figure which represents the graph of m and f(m)

So,

<u>Part A:</u>

The function has minimum at 12 and maximum at 60

The difference is = 60 - 12 = 48

So, The amplitude = 48/2 = 24

<u>Part B:</u>

Period: The period of a periodic function is the interval on which the cycle of the graph that's repeated in both directions lies.

We can deduce that the function completes one cycle within 24 months

So, the period = 24

<u>Part C:</u>

Vertical shift is obtained at m = 0

So, f(m) = 36

36 = A sin (0) + C

C = 36 ⇒ Vertical shift

So, The amplitude = 24

The period = 24

Vertical shift = 36

You might be interested in
What is 0.012 in percent?
stepan [7]

Answer:

1.2%

Step-by-step explanation:

0.012 = 12/1000

to express it as %

12/1000 * 100

= 1.2%

7 0
2 years ago
Read 2 more answers
What is the value of F(5) in the function below?
Sever21 [200]

Answer:

<h2>B. 243</h2><h2 />

Step-by-step explanation:

F(x) = 3^x

then

F(5) = 3^5 = 3×3×3×3×3 =243

6 0
3 years ago
A baseball player reaches first base 30% of the time he is at bat.out of 50 times at bat,about how many times will the player re
SOVA2 [1]

Answer:

15 times

Step-by-step explanation:

If he bats 50 times, he will be expected to reach first base "30% of the time".

We simply need to find "what is 30% of 50?"

We first need to convert the percentage (30%) to decimal and then multiply that with 50 to get our answer.

Converting percentage to decimal is very simple! We divide by 100. That's it!

So, we have:

30% = 30/100 = 0.3

Now we do the multiplication:

0.3 * 50 = 15

So, the player would reach first base 15 times (out of 50 times of batting)

6 0
2 years ago
Round each number to the nearest ten. What is the best estimate for the answer to 343.42 – 39.87?
Dafna11 [192]
The original answer for that question would be 303.55. The best estimate when you round to the nearest tenth the approximate answer would be 303.6 because the 5 in the hundredths place rounds the 5 in the tenths place to a 6. So the approximate answer would be 303.6....hope this helps. 
3 0
3 years ago
Read 2 more answers
PLz help :( i will mark barinliest
RUDIKE [14]

Answer:

Step-by-step explanation:

It's D.

A theorem is true by some sort of mathematical logic.

It is not a definition. Not C

It is not in the end true because of inductive reasoning (a theorem may lend itself to inductive reasoning, but it must be proved.) Not A

It certainly not assumed to be true without proof. Not B

3 0
3 years ago
Other questions:
  • Is (-2,5) a solution to the inequality y&lt;-3x+4 show steps
    10·1 answer
  • Multiply the polynomials (5x^2 + 2x +8)(7x7 - 6)
    14·1 answer
  • 434 round to the nearest ten
    12·2 answers
  • PLEASE ANSWER THIS FAST<br> (x+6)+(5x)=90
    13·2 answers
  • What's the answer for this problem number 6 and how did you get your answer?
    12·1 answer
  • The points (6,y) and (7,9) fall on a line with a slope of 5 . ​ ​What is the value of y ? ​
    14·1 answer
  • X - y =2 X + y= -3<br> What is (x,y)
    7·1 answer
  • 3 x (1 3/8 + 1/2<br> 3/8 and 1/2 is a fraction <br> Please hurry 5th math is a nightmare!!
    14·1 answer
  • Solve for x!!!!!!!!!
    13·1 answer
  • NO LINKS!!!<br><br>14. Consider the table​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!