Answer:
45.50° F
Step-by-step explanation:
As per Newton's law,
When T(t) is the final temperature
= Temperature of surrounding
= Initial temperature
t =duration of cooling
k = constant
Now take natural log on both the sides
4.6347 - 5.0434 = -5k
k = 0.0817
= 
= 155 (02935)
= 45.49 ≈ 45.50° F
Answer:
11. your choices are correct
12. 132°
Step-by-step explanation:
11. The given equations can be (re)written to slope-intercept form. Only those lines with a slope of 2 will be parallel to the given line.
A: y = 2x -8 . . . . . slope = 2, an answer
B: y = -2x +1 . . . . . slope = -2, not an answer
C: y = -2x +7 . . . . .slope = -2, not an answer
D: y = 2x +2 . . . . . slope = 2, an answer
E: y = -2x -9 . . . . . slope = -2, not an answer
__
12. The marked angles are supplementary, so ...
(3x -6)° +(x +2)° = 180°
4x -4 = 180 . . . . . . . . . . . divide by °, collect terms
x -1 = 45 . . . . . . . divide by 4
x = 46 . . . . . . . . . add 1
Now, we can find the angle of interest.
∠PQR = (3x -6)° = (3·46 -6)°
∠PQR = 132°
Answer:
I think it's 7
Step-by-step explanation:
I'm guessing I think
Answer:
w = 12
Step-by-step explanation:
3w = 11 + 25
3w = 36
w = 12
Hope that helps!
Answer is:
x ≥ -18/5
2+4/9x ≥ 4+x
4/9x-x ≥4-2
4/9x-9/9x ≥2
- 5/9x ≥2 multiple by 9
-5x ≥2•9
-5x ≥18
x ≥ -5/18
