Evaluate the expression 0.4 cubed

Mathematics

2 answers:

Rom4ik [11]3 years ago

6 0

0.064 or 8/125 hope this helps!!!

nordsb [41]3 years ago

3 0

Answer:

the answer to 0.4 cubed is 0.064

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3 years ago

What number must be added to 36 to obtain −12

dezoksy [38]

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Artyom0805 [142]

A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.
$\frac{dT}{dt} = \alpha(T -52)$

B) Find general solution by separating variables and integrating $\int\frac{dT}{T-52} = \alpha \int dt \\ ln (T-52) = \alpha t + C \\ T = C e^{\alpha t} +52$ :

C) Initial condition is t=0, T = 87
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D) Total time elapsed is 10 minutes, new temperature is 84
$84 = 35 e^{10\alpha} +52$
solve for alpha
$e^{10\alpha} =\frac{32}{35} \\ \alpha = \frac{ln(32/35)}{10} \\ \alpha = -.00896$

E) Temperature function is:
$T = 35 e^{-.00896 t} +52$
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$t = \frac{ln (\frac{T-52}{35})}{-.00896}$
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3 years ago