Answer:
76.25°
Step-by-step explanation:
The solution to the differential equation is an exponential curve with a horizontal asymptote at Tm. It passes through (0, 145) and (30, 95), so the equation can be written as ...
T = 80 +65((95-65)/(145-65))^(t/30)
T = 80 +65(3/8)^(t/30)
That is, the temperature difference is reduced to 3/8 of its original value in 30 minutes.
Since the coffee in cup B cools twice as fast, it will cool to the same temperature (95°) in 15 minutes. In the next 15 minutes, the temperature difference will be reduced to (3/8)^2 of the original 80°, so will be 11.25°. That is, the temperature of cup B will be ...
11.25° +65° = 76.25°
after 30 minutes.
Answer:
3. 60 ÷ 5 = 12
12 × 3 = 36
7 3/5 hours = 7 hours and 36 minutes
7:36 - 30 = 7:06
7:06 - 42 = 6:24
6:24 ÷ 6 = 1:04
A. 1 1/15 hours
4. fractions are equivalent regardless of the negative sign placement
A. 4/-9 = -4/9
5. 3/2 = 12
4/2 = 16
12 × 16 = 192
C. 192 square feet
7. -2.9a + 6.8 + 4.4a - 7.3 (add -2.9a + 4.4a)
1.5a + 6.8 - 7.3 (subtract 6.8 - 7.3)
1.5a - 0.5
D. 1.5a - 0.5
8. 552.50 × 0.88 = 486.2
486.2 ÷ 7 = 69.457
B. m > 69.45
19. -1/6 + 2/3(9 - 3/4) - 1/2
2/3 × 9/1 = 18/3
2/3 × 3/4 = 6/12
-1/6 + 18/3 - 6/12 - 1/2
-1/6 + 36/6 - 6/12 - 1/2
35/6 - 6/12 - 1/2
70/12 - 6/12 - 1/2
64/12 - 1/2
64/12 - 6/12
B. 58/12
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Step-by-step explanation:
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Answer:
y = ½x
Step-by-step explanation:
y = ½x
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Answer:
y = 
Step-by-step explanation:
