(1454.625 mles)/(4.5 tanks) = 323.25 miles/tank
He gets 323.25 miles on a single tank of gas.
Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)
then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)
Therefore,
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)
Answer:
4
Step-by-step explanation:
The constant is the number without a variable, usually being added or subtracted from the variable but not multiplied or divided by it.
Answer: 5 hours = 300 Kilometers
Step-by-step explanation: If a car can travel 180 kilometers in three hours then in one and a half hour that car can travel 90 kilometers. If you divide 90 by 3 you will find out that in a half hour that car can travel 30 kilometers. So add 180+90+30=300 that is the same as adding three hours+one and a half+thirty minute=five hours
Hope This Helps!!!!!
Answer:
ok so
Step-by-step explanation:
ok so if theres numbers its qualitative if it has to do with how it drives is quantitative
