Answer: x = -0.377
Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377
Answer:
4) VW= 23
5) VW= 12
6) VW= 75
Step-by-step explanation:
4)
VU= 31
WU= 8
subtract 8 from 31
VW= 23
5)
UW= 18
UV= 6
subtract 6 from 18
VW= 12
6)
UV= 30
WU=45
add 30 and 45
VW= 75
All you have to do is add exponents when multiplying like monomials. So it's just 4^2
Answer: The amount of Karen's bill = $ 60
Step-by-step explanation:
Given : The expression 10+0.25m can be used to determine the amount o, where <em>m =</em> The number of minutes she talks.
If she talks for 200 minutes in one month, then put m= 200 in the above expression we will get the amount of Karen's bill = 10+0.25(200)
= 10+ 50
= 60
Hence, the amount of Karen's bill = $ 60
