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Dima020 [189]
3 years ago
13

A certain bay with very high tides displays the following behavior. In one 12-h period the water starts at mean sea level, rises

to 21 ft above, drops to 21 ft below, then returns to mean sea level. Assuming that the motion of the tides is simple harmonic, find an equation that describes the height of the tide in this bay above mean sea level. (Let y be the height above sea level in feet, and t the number of hours since the start of the 12-h period.)
Mathematics
1 answer:
Firdavs [7]3 years ago
7 0

Answer:

the required equation is; y = 21 sin(πt/6)

Step-by-step explanation:

Given the data in the question;

Water rises above sea level = 21 ft

Water drops below sea level = 21 ft

so

maximum = 21 ft and also

minimum = 21 ft

Amplitude = ( maximum + minimum ) / 2

Amplitude = ( 21 + 21 ) / 2

Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft

Period = 12 hours

and we know that; period = 2π/b

so

12 = 2π/b

12b = 2π

b = 2π / 12

b = π/6

Standard equation for simple harmonic is; y = asin(bt)

we substitute

y = 21 sin(πt/6)

Hence the required equation is; y = 21 sin(πt/6)

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A pitcher of water at 40 degrees Fahrenheit is placed into a 70 degree room. One hour later, the temperature has risen to 45 deg
solong [7]

Answer:

3 hours

Step-by-step explanation:

The difference between the initial temperature and the temperature after an hour is an increase of 5 degrees. Since we need to calculate the time it would take for the temperature to rise to 60 degrees we need to find the difference in degrees from the current temperature to 60 degrees.

60 - 45 = 15 degrees

Since 1 hour equals an increase of 5 degrees we need to divide 15 by 5 to calculate how many hours before the temperature increases to 60 degrees

15 / 5 = 3 hours

8 0
2 years ago
Help please!!!!!:( Solve the equation for x. Round your answer to two decimal places. Do not include "x =" in your answer.
svet-max [94.6K]
The solution to the problem is as follows:

If you use Ln you can get rid of e. 

ln(e^0.4x) = ln(0.4) 

0.4x = ln(0.4) 

x = (ln(0.4))/0.4 

<span>x = -2.29
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
4 0
3 years ago
Read 2 more answers
I need help please, 20 points
valkas [14]

Answer:

the answer is 546 hope this helps :)

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
5. Find the measure of the indicated angle.
Angelina_Jolie [31]

Answer:

180 - 26 = 154

10x + 8 + 9x - 25 = 154

19x - 17 = 154

19x = 171

x= 9

so » C is:98°

and » D is: 56°

5 0
3 years ago
What is the value of y?
vredina [299]
Y = 44

180 - 88 = 92
180 - 92 = 88
88/2 = 44
8 0
2 years ago
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