3 years ago

Which value for x makes the sentence true?

Mathematics

2 answers:

Kipish [7]3 years ago

8 0

I hope this helps you out

Vladimir [108]3 years ago

3 0

The answer is 5,x =5
5 (9x-6)+15=210
5×9×5=225
5×6=30
225-30=195
195+15=210
see,simple enough to understand
And it is explained step by step

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Using Newton's Law of Cooling. You are a medical examiner called to an abandoned house in which a dead body has been discovered.

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
$87 = C +52 \\ C = 35$

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:
$T = 35 e^{-.00896 t} +52$
solving for t
$t = \frac{ln (\frac{T-52}{35})}{-.00896}$
Plug in T = 98.6
$t = -31.95$

This is approximately 32 minutes before he arrived or about 1:20 AM

3 0

3 years ago

World forma Of 309017

Maurinko [17]

Three hundred nine thousand seventeen.

4 0

3 years ago

Read 2 more answers

Can somebody help me with the next question

svet-max [94.6K]

Yep, sure. Which question?

6 0