Answer:
66473737
Step-by-step explanation:
747292929277273664646272727282891919919191919919192929298475756565665
Hello,
z=(1/√2-1/√2 i)^6=1/8*(1-i)^6=1/8*(√2∡-45°)^6=1/8*8∡-270°=1∡90°=i
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The above question is asking us to check if the exponents are written in the correct way or not.Let us look at the options one by one.
1) The exponent denotes the number of time the letter or number is multiplied.We have six x which are multiplied so the exponent for x which is 6 is right .The exponent is written correct .
2)We have seven A which are multiplied and five B multiplied making the exponent of A as 7 and B as 5 .The exponents are written correct.
3)There are six b and six c .The exponent rule has been followed here that is we can keep bc inside parenthesis and make 6 as the exponent.
4)Here exponent for x,y,z all are 5. we can not remove the exponent of x and y .It is not following the exponent rule .
Option 4 is not true.
A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.

B) Find general solution by separating variables and integrating

:
C) Initial condition is t=0, T = 87

D) Total time elapsed is 10 minutes, new temperature is 84

solve for alpha

E) Temperature function is:

solving for t

Plug in T = 98.6

This is approximately 32 minutes before he arrived or about 1:20 AM
Answer:
3.3gal
Step-by-step explanation:
10 ×3=30
10 ×0.3=3
30
+
3
---
33gal