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
Kitty [74]
2 years ago
13

,.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Mathematics
1 answer:
Bingel [31]2 years ago
5 0

Answer:

what exactly is this question

Step-by-step explanation:

You might be interested in
The daily average temperature in Santiago, Chile, varies over time in a periodic way that can be modeled approximately by a trig
natali 33 [55]

Answer:

a) the trigonometric function is;

y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5

b) y = 28.36^0 \ C    ( to two decimal places)

Step-by-step explanation:

This data can be represented by the sinusoidal function of the form :

\mathbf{y = A sin (Bt -C)+D}

where A = amplitude and which can be determined via the formula:

A = \dfrac{largest \ temperature -  lowest \ temperature}{2}

A = \dfrac{29-14}{2}

A = \dfrac{15}{2}

A = 7.5° C

where B = the frequency;

Since the data covers a period of 3 days ; then \dfrac{2 \pi}{B } =365

B = \dfrac{2 \pi}{365}   ( where 365 is the time period )

The vertical shift is found by the equation D;

D =  \frac{largest \ temperature + lowest \ temperature}{2}

D = \frac{29+14}{2}

D = 21.5

Replacing the values of A ; B and D into the above sinusoidal function; we have :

y = 7.5 sin (\frac{2 \pi}{365}t -C) + 21.5

From the question; when it is 7th of the year ( i.e January 7);

t =  7 and the temperature (y) = 29° C

replacing that too into the above equation; we have:

29= 7.5 sin (\frac{2 \pi}{365}*7 -C) + 21.5

29= 7.5 sin (\frac{14 \pi}{365} -C) + 21.5

\frac{29-21.5}{7.5}=  sin (\frac{14 \pi}{365} -C)

1=  sin (\frac{14 \pi}{365} -C)

sin^{-1}(1)=   (\frac{14 \pi}{365} -C)

\frac{\pi}{2}=   (\frac{14 \pi}{365} -C)

C=   (\frac{14 \pi}{365} -\frac{\pi}{2})

C=   (\frac{28 \pi- 365 \pi}{730} )

C=  \frac{-337 \pi}{730}

Thus; the trigonometric function is;

y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5

Similarly; to determine the temperature o Jan 31; i.e when t= 31 ; we have :

y = 7.5 sin ( \frac{2 \pi}{365}*31+ \frac{337 \pi}{730})+ 21.5

y = 7.5 sin ( \frac{62 \pi}{365}+ \frac{337 \pi}{730})+ 21.5

y = 7.5 sin ( \frac{124 \pi+ 337 \pi }{730})+ 21.5

y = 7.5 sin ( \frac{461 \pi }{730})+ 21.5

y = 7.5 *( 0.915)+ 21.5

y = 6.8689+ 21.5

y = 28.36^0 \ C    ( to two decimal places)

7 0
3 years ago
Read 2 more answers
adam walk 2 miles a day for the first week of his exercise plan. the he walk 3 miles a day for the next 9 days. how many miles d
Digiron [165]

Answer:

41 miles

Step-by-step explanation:

The first week, which is 7 days, Adam walked 2 miles a day. So, we have the multiplication equation: 2 * 7 = 14 miles.

For the next 9 days, Adam walked 3 miles per day. So, we have the multiplication equation: 3 * 9 = 27 miles.

Now, we just add these two values together:

14 + 27 = 41 miles

Thus, the answer is 41 miles.

Hope this helps!

7 0
3 years ago
Whats -3x - 9 = -6x+ 18?
Zinaida [17]

Answer:

3

Step-by-step explanation:

-3x-9=-6x+18

-9x=27

x=3

4 0
2 years ago
Read 2 more answers
I need help with these 2 problems
eimsori [14]

Answer:

d and c

Step-by-step explanation:

3 0
3 years ago
A computer programmer had two files with a total size of 76.75 gigabytes. If one of the files was 35.45 gigabytes, how big is th
shtirl [24]

Answer:

41.30

Step-by-step explanation:

 76.75

- 35.45

______

41.30

6 0
2 years ago
Other questions:
  • 6x3 + 8x2 – 2x + 4 and 10x3 + x2 + 11x + 9
    10·1 answer
  • Inside the square ABCD, side 15 cm, the point M is considered, so that the triangle ABM is equilateral. Show that:
    10·2 answers
  • What are the solutions to the equation 0 = x2 - X-6? Select two options
    6·1 answer
  • [For Questions 1 & 2]
    14·1 answer
  • -4.3 g equals 25.8 solve for G
    11·1 answer
  • Henrietta solved a rational equation. Her work is shown. How could she solve it in a simpler way?
    8·1 answer
  • How to write 863.141 in expanded form
    9·1 answer
  • PLS SOLVE ASAP!!!<br> These points are linear.<br> Find the slope.
    9·1 answer
  • Can someone pls give me the answer I don’t get it and it’s due in 20 mins
    13·2 answers
  • How many swimmers are there represented on this dot plot?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!