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Mathematics 67 Online
itzmeee:

picture attached below

itzmeee:

1 attachment
Madelineee:

@axie

Madelineee:

@toga

Madelineee:

@curriful @snowie @aratox

curriful:

@madelineee wrote:
@curriful @snowie @aratox
girl wdh dont @ me in dis ionk what it is..

Aratox:

I haven't gotten this far in math yet, sorry :/

Madelineee:

@extrinix

itzmeee:

@aratox wrote:
I haven't gotten this far in math yet, sorry :/
all good

somnium:

lost me at the sines

axie:

Goal: We want to find out how many days the temperature of the water in the lake is predicted to be higher than 72 degrees Fahrenheit. Given Function: We're given a formula that predicts the temperature based on the number of days since January 1st. It looks complicated, but it's essentially a fancy way of saying the temperature goes up and down over the year. Breaking Down the Problem: We can imagine the temperature as a wave that goes up and down throughout the year, like a rollercoaster. Our job is to figure out when this rollercoaster goes above 72 degrees. Using Sine Function: The formula uses a function called sine, which helps us model how the temperature changes over time. When the sine function gives us a positive value, it means the temperature is above its average, and vice versa. Finding When it's Above 72: We need to figure out when the sine function makes the temperature go above 72 degrees. We do some math to find the specific days when this happens. Calculating Days: After some calculations, we find out that for almost every day in the year, the temperature is predicted to be above 72 degrees Fahrenheit. Final Answer: So, the answer is around 248 days. That means for about 248 days in the year, the temperature is expected to be above 72 degrees Fahrenheit.

hannahj:

@axie wrote:
Goal: We want to find out how many days the temperature of the water in the lake is predicted to be higher than 72 degrees Fahrenheit. Given Function: We’re given a formula that predicts the temperature based on the number of days since January 1st. It looks complicated, but it’s essentially a fancy way of saying the temperature goes up and down over the year. Breaking Down the Problem: We can imagine the temperature as a wave that goes up and down throughout the year, like a rollercoaster. Our job is to figure out when this rollercoaster goes above 72 degrees. Using Sine Function: The formula uses a function called sine, which helps us model how the temperature changes over time. When the sine function gives us a positive value, it means the temperature is above its average, and vice versa. Finding When it’s Above 72: We need to figure out when the sine function makes the temperature go above 72 degrees. We do some math to find the specific days when this happens. Calculating Days: After some calculations, we find out that for almost every day in the year, the temperature is predicted to be above 72 degrees Fahrenheit. Final Answer: So, the answer is around 248 days. That means for about 248 days in the year, the temperature is expected to be above 72 degrees Fahrenheit.
dang boy 😂

axie:

bruh it took me so long to type that too :cry:

arrivhn:

Wth

arrivhn:

|dw:1715822076104:dw|

somnium:

@arrivhn wrote:
Created with RaphaëlReply Using Drawing
flashbang

arrivhn:

@somnium wrote:
@arrivhn wrote:
Created with RaphaëlReply Using Drawing
flashbang
Lol

Luigi0210:

I'm curious, how did you actually solve it @axie ? I took the graphing approach and just plotted the two functions, f(t) and y=72 From there, I found where the graphs intersect (113.9, 72) and (248.6, 72) And basically, anything above y=72 is what we were looking for (with the restriction of 0 to 365). Since x is the number of days, I just subtracted. 248-114 \(\approx\) 134

1 attachment
Luigi0210:

Link to the original graph: https://www.desmos.com/calculator/rh1toujsan

itzmeee:

@axie wrote:
Goal: We want to find out how many days the temperature of the water in the lake is predicted to be higher than 72 degrees Fahrenheit. Given Function: We're given a formula that predicts the temperature based on the number of days since January 1st. It looks complicated, but it's essentially a fancy way of saying the temperature goes up and down over the year. Breaking Down the Problem: We can imagine the temperature as a wave that goes up and down throughout the year, like a rollercoaster. Our job is to figure out when this rollercoaster goes above 72 degrees. Using Sine Function: The formula uses a function called sine, which helps us model how the temperature changes over time. When the sine function gives us a positive value, it means the temperature is above its average, and vice versa. Finding When it's Above 72: We need to figure out when the sine function makes the temperature go above 72 degrees. We do some math to find the specific days when this happens. Calculating Days: After some calculations, we find out that for almost every day in the year, the temperature is predicted to be above 72 degrees Fahrenheit. Final Answer: So, the answer is around 248 days. That means for about 248 days in the year, the temperature is expected to be above 72 degrees Fahrenheit.
thank you but the correct answer was 134. but thank you so much for the effort :)

axie:

i did it on paper and my mind must have skipped or glazed over something

hellokitty265:

cool

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