Answer:
The question = (7^3)*(7^x)
When multiplying two exponents with the same base, all you do is add the exponents together and keep the same base
Therefore,
(7^3)*(7^x) = 7^(3+x)
Step-by-step explanation:
7^3+x is the answer
Answer:
17.7 as the actual gas mileage recorded is 12 mpg.
Step-by-step explanation:
I'm reading this as

with

.
The value of the integral will be independent of the path if we can find a function

that satisfies the gradient equation above.
You have

Integrate

with respect to

. You get


Differentiate with respect to

. You get
![\dfrac{\partial f}{\partial y}=\dfrac{\partial}{\partial y}[x^2e^{-y}+g(y)]](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%20f%7D%7B%5Cpartial%20y%7D%3D%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20y%7D%5Bx%5E2e%5E%7B-y%7D%2Bg%28y%29%5D)


Integrate both sides with respect to

to arrive at



So you have

The gradient is continuous for all

, so the fundamental theorem of calculus applies, and so the value of the integral, regardless of the path taken, is
Angle 1 is 122 degrees bc of vertical angle
Angle 2 is 87 degrees bc of alt ext angle converse
Angle 3 93 degrees
Angle 4 is 58 degrees