Tia is buying cups and plates

Mathematics

1 answer:

Murljashka [212]3 years ago

6 0

If u can plz give more information I am more than glad to help out

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Wiley wants to make as many snack

Ghella [55]

Answer:

Wiley can make 10 snack packs.

Step-by-step explanation:

Assuming that you can't put a fraction of one item in a snack pack and yoou must use all the items, Each pack must contain a integer number of items. The smallest possible way is for each snack pack to contain 3 slices of cheese and 4 crackers. This results in a total of 10 snack packs.

6 0

3 years ago

(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw

slavikrds [6]

Answer:

a. $\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. $C_{0}=122$

c. $k=-0.00259$

d. $t=153.39838\\$ minutos

Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

$Tm=68$

$\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. The differential equation obtained is a differential equation of separable variables:

$\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122$