Answer:
![\log_5{\dfrac{x^5}{\sqrt[4]{8-x}}}](https://tex.z-dn.net/?f=%5Clog_5%7B%5Cdfrac%7Bx%5E5%7D%7B%5Csqrt%5B4%5D%7B8-x%7D%7D%7D)
Step-by-step explanation:
Make use of the rules of logarithms:
log(a/b) = log(a) - log(b)
log(a^b) = b·log(a)
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![5\log_5{x}-\dfrac{1}{4}\log_5{(8-x)}=\log_5{x^5}-\log_5{\sqrt[4]{8-x}}=\log_5{\dfrac{x^5}{\sqrt[4]{8-x}}}](https://tex.z-dn.net/?f=5%5Clog_5%7Bx%7D-%5Cdfrac%7B1%7D%7B4%7D%5Clog_5%7B%288-x%29%7D%3D%5Clog_5%7Bx%5E5%7D-%5Clog_5%7B%5Csqrt%5B4%5D%7B8-x%7D%7D%3D%5Clog_5%7B%5Cdfrac%7Bx%5E5%7D%7B%5Csqrt%5B4%5D%7B8-x%7D%7D%7D)
Answer:
15 meters
Step-by-step explanation:
The volume of a cylinder is:

pi is a constant, so there are only 3 variables in this equation. 2 of those are given, so all you need to do is plug in the given values and solve for h:

The height of this cylinder is 15 meters.
Answer:
Step-by-step explanation:
(0, 1) (1, -1)
(-1 - 1)/(1 - 0) = -2/1 = -2
y - 1 = -2(x - 0)
y - 1 = -2x + 0
y = -2x + 1
Answer:10.5
Step-by-step explanation:I’m smart
Answer:
Cost of driving Jenna's car is $0.293 per mile when the price of gas is $3.23 per gallon.
Step-by-step explanation:
Expression given in the question is not correct, it is actually

Since expression that represents Jenna's cost to drive her car for work is

Where J = cost of driving Jenna's car
g = cost of gas
We have to find the cost of driving Jenna's car when the price of gas is $3.23 per gallons.
Now we plug in the value of g = $3.23 per gallon in the given expression.

= 0.1468 + 0.146
= 0.2928
≈ $0.293 per mile
Therefore, cost of driving Jenna's car is $0.293 per mile when the price of gas is $3.23 per gallon.