A conservative vector field 
has curl 
. In this case,
so the vector field is not conservative.
so the vector field is not conservative.
A Chicago Cubs baseball cap costs $30. Mitchell has a coupon that will save him 30% of the price. How much money will Mitchell s
2 answers:
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Answer:
c) 44000 miles
Step-by-step explanation:
The regression line has the following format:
In which b is the slope(how much each mile costs) and a is the fixed number of miles flown.
In this problem, we have that:
. So
A person who spent $ 2000 is predicted to have flown:
This is y when x = 2000.
So the correct answer is:
c) 44000 miles
Let us see... ideally we would like to have all equations with the same exponent or the same base so that we can compare the rates. Since the unknown is in the exponent, we have to work with them. In general, ![x^(y/z)= \sqrt[z]{x^y}](https://tex.z-dn.net/?f=x%5E%28y%2Fz%29%3D%20%5Csqrt%5Bz%5D%7Bx%5Ey%7D%20)
.
Applying this to the exponential parts of the functions, we have that the first equation is equal to:
250*(![\sqrt[5]{1.45} ^t](https://tex.z-dn.net/?f=%20%5Csqrt%5B5%5D%7B1.45%7D%20%5Et)
)=250*(1.077)^t
The second equation is equal to: 200* (1.064)^t in a similar way.
We have that the base of the first equation is higher, thus the rate of growth is faster in the first case; Choice B is correct.
Applying this to the exponential parts of the functions, we have that the first equation is equal to:
250*(
The second equation is equal to: 200* (1.064)^t in a similar way.
We have that the base of the first equation is higher, thus the rate of growth is faster in the first case; Choice B is correct.