Answer:
1. the y-intercept is 9.5 and it means the starting length of the candle
2. the slope is -1/2 and it means that the candle burns 1/2 an inch every hour
3. it burns an inch every 2 hours, it is 9.5 inches long, so 19 hours it'll take to burn.
Answer:
353kg
Step-by-step explanation:
2000*0.1765=353 so it is 353kg
7(4)-9(130)
28-1170
answer: -942
<span> n = 135, is that what you wanted?</span>
2 cot²(<em>t </em>) sin(<em>t </em>) - cot²(<em>t </em>) = 0
cot²(<em>t </em>) (2 sin(<em>t </em>) - 1) = 0
cot²(<em>t </em>) = 0 <u>or</u> 2 sin(<em>t</em> ) - 1 = 0
cot(<em>t</em> ) = 0 <u>or</u> sin(<em>t</em> ) = 1/2
cos(<em>t</em> ) / sin(<em>t</em> ) = 0 <u>or</u> sin(<em>t</em> ) = 1/2
cos(<em>t</em> ) = 0 <u>or</u> sin(<em>t</em> ) = 1/2
[<em>t</em> = cos⁻¹(0) + 2<em>nπ</em> <u>or</u> <em>t</em> = cos⁻¹(0) - <em>π</em> + 2<em>nπ</em>]
<u>or</u> [<em>t</em> = sin⁻¹(1/2) + 2<em>nπ</em> <u>or</u> <em>t</em> = <em>π</em> - sin⁻¹(1/2) + 2<em>nπ</em>]
(where <em>n</em> is any integer)
<em>t</em> = <em>π</em>/2 + 2<em>nπ</em> <u>or</u> <em>t</em> = -<em>π</em>/2 + 2<em>nπ</em> <u>or</u> <em>t</em> = <em>π</em>/6 + 2<em>nπ</em> <u>or</u> <em>t</em> = 5<em>π</em>/6 + 2<em>nπ</em>
Note that the first two families of solutions overlap and can be condensed, so that
<em>t</em> = <em>π</em>/2 + <em>nπ</em> <u>or</u> <em>t</em> = <em>π</em>/6 + 2<em>nπ</em> <u>or</u> <em>t</em> = 5<em>π</em>/6 + 2<em>nπ</em>
