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91Ó°ÊÓ

For exercises 53-55,use the following information.

Suppose the temperature To(C) below Earth’s surface is given by Td=35d+20,where d is the depth km.

54. Find the depth if the temperature is 160oC.

Short Answer

Expert verified

The depth is 4 at the temperatureT(d) is 160oC

Step by step solution

01

Step 1- Given information

A linear equation T(d)=35d+20 and temperature is 160oC.

02

Step 2- To find the temperature at depth of 2 (km)

Substitute the value of the temperature is 160oC in the given equation.

Now,

160=35d+20⇒160−20=35d⇒140=35d⇒d=14035⇒d=205⇒d=4

03

Step 3- Conclusion

Therefore, the value ofdepth is4 at the temperatureT(d) is 160oC.90oC

Hence, the depth is 4 at the temperatureT(d) is 160oC.

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