Question

The temperature of a chemical reaction ranges between –10°C and 50°C. The temperature is at its lowest point when t = 0 and completes one cycle over a six-hour period. What is a sine function that would model this reaction?

f(t) = 30 sin pi over 3t + 20

f(t) = 60 sin pi over 3t + 30

f(t) = 30 sin 6t + 20

f(t) = 60 sin 6t + 30

Answer 1

Im SOOOOO Over this.

Answer 2

You mean you get sick of fifty problems that are all basically the same? jk

Answer 3

YES, Funny, because this assignment only had 10 questions, and ive spent hours o-o

Answer 4

Oh the joys of trig homework... hey at least you can honestly say that you do math in your sleep.

Answer 5

LOL. Yess. :3

Answer 6

OK, so a picture would help, the temperature is between -10 and 50, the low point is at t = 0, and it take 6 hours to complete a cycle

Answer 7

60.

Answer 8

ITS EITHER B OR D.

Answer 9

You are right that the range is 60... but watch out for vertical shifts...

Answer 10

for example it can't be B since B has a vertical shift of 30 and then +/- 60 off of that

Answer 11

Stupid shifts. Stupid Math and your rules.

Answer 12

So, that means its D. ;0

Answer 13

LOL, it's definitely the shifts that are stupid... I'm not even sure exactly what Math is... so I don't know if it's stupid or not... we can at least say that from the homework it seems stupid. :)

Answer 14

It will always be stupid c:

Answer 15

Oh, but it is not meant to be... D has the same problem it starts at 30 (from the shift) and has an amplitude (bounces up and down) by 60, so it will go as low as 30 - 60 = -30 which is too low (it should be -10)

Answer 16

This means it is either A or C (of course the exact opposites) XD

Answer 17

I Shall cry now.

Answer 18

You may feel free to do so... need a tissue?

Answer 19

Yes. :c

Answer 20

WAIT, ITS C.

Answer 21

\\\\\\\\\
\\\\\\\\\ <----- virtual tissue
\\\\\\\\\

Answer 22

xD thank you c;

Answer 23

OK, feel free to hate this... it is A. Why? Because of the 6 hour period. Remember from one of the earlier problems you have to divide to make it longer.

Answer 24

Im gonnaa cry some more.

Answer 25

Well, was that the last one? Do you need to save any tears?

Answer 26

Okay, im gonna submit this, WISH ME LUCK /.\

Answer 27

Good luck! I guess you can cry all you want now. :(

Answer 28

It is finished!

Answer 29

OMFGGG 50/50

Answer 30

Is that 100% ?

Answer 31

YESSSSSSSSSSSSSSAEJNJRGJIAMGJAER;I

Answer 32

Well, OpenStudy for the win I guess!

Answer 33

Hopefully, despite all the pain and suffering, I was able to help more than your teacher for some of the problems.

Answer 34

Youre justt too great ;o

Answer 35

Well, I just like to try and make other student's lives a little easier...

Answer 36

Here's a secret... I'm a senior math major at a university, so I have to know this stuff. :)

Answer 37

Thaank you ;o Im a senior in highschool xD

Answer 38

Well, very good! You are almost out of the math jungle! :)

Answer 39

Some of us (like me) figured out math by ourselves, without trusting the textbook and teachers... so we like math more, cause it's not just a bunch of made-up rules... Good luck on your classes!

Answer 40

Im in AP Stats right now. but i had to retake Algebra 2 because i failed my sophmore year ;-; And this had TRIG in it. but i took pre-calculus last year. and didnt do so well, so thats why i had such a hard time :c

Answer 41

Got ya, yeah, I don't think the classes do all that great a job with actually teaching you WHY we do things in math the way we do them.

Answer 42

They just make you memorize a bunch of stuff... and it seems so pointless and braindead

Answer 43

i know it makes me brain dead o-o

Answer 44

The most important thing that you will take away from math is that you can deal with the feeling of utter confusion.

Answer 45

Omg, i have a part 2 to do. but im too tired for all that. ;-; Will you be on tomorrow? And i just wanna cry when im confused xD

Answer 46

I usually come on later in the day after 7PM, so look for me then. I think you can also message.

Answer 47

Yeah :c i mean, i could do the second part now, its a written part ;o so we might be able to get it done faster.

Answer 48

well, we can look at a couple, and you can let me know when you are out of steam...

Answer 49

Ive been out of steam hunnny. xD

Answer 50

lol

Answer 51

im looking at these questions, and i feel tears. LOL

Answer 52

what are they asking?

Answer 53

.Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle.

Part 1: How many radians does the minute hand move from 3:35 to 3:55? (Hint: Find the number of degrees per minute first.)
Part 2: How far does the tip of the minute hand travel during that time?
Part 3: How many radians on the unit circle would the minute hand travel from 0° if it were to move 3π inches?
Part 4: What is the coordinate point associated with this radian measure?

You must show all of your work.

Answer 54

LOL, I can see why...

Answer 55

This is just one question too ;-;

Answer 56

OK, let's just stop and think about Part 1.

Answer 57

ooo. visual makes it easier.

Answer 58

Yes is does, so we need to figure out the angle between the 35 minute and the 55 minute mark... How many minutes will pass from 35 to 55 anyways?

Answer 59

20.

Answer 60

Alright, and 20 is 1/3 of 60 minutes right?

Answer 61

Yesss.

Answer 62

Well, 60 minutes covers the whole circle of the clock! So, the angle is just 1/3 of a circle, or 120 degrees!

Answer 63

OHH SNAP.

Answer 64

Of course, we need to convert this to radians, but we basically have the answer.

Answer 65

Oh. Dont we ust pi/180?

Answer 66

180/pi in this case

Answer 67

use* Excuse my typos. ;-;

Answer 68

no worries. :)

Answer 69

wait, I might have goofed up

Answer 70

So.... Like 2pi/3?

Answer 71

Yes, you are correct!

Answer 72

But, we want how many radians PER MINUTE. Well, we just found that we cover 2pi/3 radians in 20 minutes, so divide by 20, and we get

Answer 73

pi/30 radians per minute I believe

Answer 74

Oh wait, nvr mind

Answer 75

Do we have to find per minutes? or how many minutes it moves from 3:35 to 3:55.

Answer 76

Now I'm falling asleep

Answer 77

We have the answer it was 2 pi / 3 we are fine.

Answer 78

Good c: So what part 2? o-o

Answer 79

OK, so this is the formula s = r*Theta. In other words, the distance traveled is just the radius multiplied by the angle traveled. Easy

Answer 80

They tell us that the hand is 4 inches long, so 4 * 2 pi/3 = 8pi/3 inches

Answer 81

Ohh. i see ;o

Answer 82

That's about 8.4 inches if you prefer decimals.

Answer 83

Alright, im confused on part 3.

Answer 84

What does part 3 say about "from 0 (something) if it were to move to 3 something" ? it's blocking it on the post.

Answer 85

0 degrees to 3 pi.

Answer 86

So, How many radians on the unit circle would the minute hand travel from 0 degrees if it were to move 3 pi inches? Is that the question?

Answer 87

Yes c:

Answer 88

OK, so we again use the "arc length" formula (basically just circular distance) s = r*Theta. This time we know s = 3 pi (that's the distance traveled by the hand), and we also know r = 1 (that's the radius of the unit circle, note UNIT).

Answer 89

Then, 3 pi = 1 * Theta. This is looking easy.

Answer 90

OOO. So. what are we solving for? o-o

Answer 91

We are solving for Theta, that is "how many radians"