Mathematics: In a large fish tank,1/4 of the fish have black stripes on them.if 16 of the fish have black stripes, what is the total number of fish in the tank

(a) Using Newton s Law of Cooling, , we have where T is temperature after T minutes.Separate by dividing both sides by T - 75 to get . Integrate both sides to get .Since , we solve for C: So we get . Use T(30) = 150 to solve for k:So But choose Positive because T 75. Temp of turkey can t go under.(b) Dogs of the AMS....

In a large fish tank,1/4 of the fish have black

Ответ:

raiindrxp

16.01.2022

Mathematics

64 fish

Step-by-step explanation:

If there is 1/4 fish with black stripes and its a total of 16 then you have to multiple 16 times 4 because theres 4 groups. so 16 times 4 is 64.

0,0(0 оценок)

Ответ:

raven681

28.05.2021

Mathematics

(a) Using Newton's Law of Cooling, $\dfrac{dT}{dt} = k(T - T_s)$ , we have $\dfrac{dT}{dt} = k(T - 75)$ where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get $\dfrac{dT}{T - 75} = k dt$ . Integrate both sides to get $\ln|T - 75| = kt + C$ .

Since T(0) = 185

, we solve for C:
$|185 - 75| = k(0) + C\ \Rightarrow\ C = \ln 110$
So we get $\ln|T - 75| = kt + \ln 110$ . Use T(30) = 150 to solve for k:
$\ln| 150 - 75 | = 30k + \ln 110\ \Rightarrow\ \ln 75 - \ln 110= 30k \Rightarrow \\ k= \frac{1}{30}\ln (75/110) = \frac{1}{30}\ln(15/22)$

So

$\ln|T - 75| = kt + \ln 110 \Rightarrow |T - 75| = e^{kt + \ln110} \Rightarrow \\ \\
|T - 75| = 110e^{kt} \Rightarrow T - 75 = \pm110e^{(1/30)\ln(15/22)t} \Rightarrow \\
T = 75 \pm110e^{(1/30)\ln(15/22)t}$

But choose Positive because T > 75. Temp of turkey can't go under.

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} \\
T(45) = 75 + 110e^{(1/30)\ln(15/22)(45)} = 136.929 \approx 137{}^{\circ}F$

(b)

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} = 75 + 110(15/22)^{t/30} \\
100 = 75 + 110(15/22)^{t/30} \\
25 = 110(15/22)^{t/30} 
\frac{25}{110} = (15/22)^{t/30} \\
\ln(25/110) / ln(15/22) = t/30 \\
t = 30\ln(25/110) / ln(15/22) \approx 116\ \mathrm{min}$

Dogs of the AMS.

0,0(0 оценок)

In a large fish tank,1/4 of the fish have black stripes on them.if 16 of the fish have black stripes, what is the total number of fish in the tank

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question