Answer:
The error is at step (3) .
The correct step (3) will be,

=
[by using the laws of indices]
All other steps are correct.
Step-by-step explanation:
The error is at the step (3) , because the student has tried to prove the quotient rule of logarithms by using the property i.e., 'The quotient rule of logarithm' itself , i.e. ,by assuming the property does hold before proving it. So, the proof is fallacious.
The correct step (3) will be,

=
[by using the laws of indices]
All other steps are correct.
Answer:
(0,5)
Step-by-step explanation:
Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=1/2x + 6 is 1/2. The slope perpendicular to it is -2.
Using m=-2, substitute it and (4,-3) into the point slope form and simplify to find the y-intercept.

The equation is now in slope intercept form y=mx+b and b is the y-intercept. The y-intercept of y=-2x+5 is (0,5).
Answer:
1232m^3
Step-by-step explanation:
d = 14m
r = 7m
l = 25m
h = ?
h = root l^2- r^2
h = root 25^2- 7^2
h = root 625- 49
h = root 576
h = 24m
volume of cone = 1/3 pie r^2 h
= 1/3*22/7* 7*7*24
= 22*7*8
= 154*8
= 1232m^3
Hello from MrBillDoesMath!
Answer:
41 sqrt(3)
Discussion:
My first reaction to the problem was:
sqrt(27) = sqrt ( 3 * 9) = 3 sqrt(3) and
sqrt(48) = sqrt (3*16) = 4 sqrt(3).
So...
7 * sqrt(27) + 5 sqrt(48) =
7 * (3 sqrt(3)) + 5 * (4 sqrt(3)) =
21 sqrt(3) + 20 sqrt(3) =
41 sqrt(3)
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
$20 - $6 =$14
Therefore, you spent $14 dollars on seven tickets.
14/7=2
You spent two dollars on each ticket.