An object's temperature cools exponentially after it is removed from a furnace (hot oven). If its initial temperature is 730°C and it cools at a rate of 2.95% per minute, find the object's temperature after 18.0 minutes.

The required value of the object's temperature after 18.0 minutes is 425.83.

Given that,

An object's temperature cools exponentially after it is removed from a furnace (hot oven).

If its initial temperature is 730°C and it cools at a rate of 2.95% per minute,

We have to determine,

Find the object's temperature after 18.0 minutes.

According to the question,

The initial temperature is 730°C and it cools at a rate of 2.95% per minute,

The temperature after t minutes is modeled by an exponential function, which has the following format is,

Where T(0) is the initial temperature, and r is the cooling rate, as a decimal.

Then,

T(0) = 730°c and r = 2.95% = 0.0295

Substitute all the values in the equation,

Therefore,

The object's temperature after 18.0 minutes is,

Hence, The required value of the object's temperature after 18.0 minutes is 425.83.

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The object's temperature after 18 minutes is of 426ºC.

Step-by-step explanation:

The temperature after t minutes is modeled by an exponential function, which has the following format:

In which T(0) is the initial temperature, and r is the cooling rate, as a decimal.

Its initial temperature is 730°C and it cools at a rate of 2.95% per minute

This means that . So

Find the object's temperature after 18.0 minutes.

This is . So

The object's temperature after 18 minutes is of 426ºC.

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105