Useful Log Rules:
- log(A*B) = log(A)+log(B) .......... log rule 1
- log(A/B) = log(A) - log(B) .......... log rule 2
- log(A^B) = B*log(A) ................... log rule 3
=========================================================
Part (a)
All logs shown below are base 3.
log(500) = log(5*100)
log(500) = log(5*10^2)
log(500) = log(5)+log(10^2) .... use log rule 1
log(500) = log(5) + 2*log(10) .... use log rule 3
log(500) = 1.4650 + 2*2.096 ....... substitution
log(500) = 5.657
<h3>Answer: 5.657</h3>
=========================================================
Part (b)
All logs shown below are base 3.
log(2) = log(10/5)
log(2) = log(10) - log(5) .... use log rule 2
log(2) = 2.096 - 1.4650 ....... substitution
log(2) = 0.631
<h3>Answer: 0.631</h3>
Red:green
5:3
5+3=8
8 units
4qt=8 units
divide by 8
0.5qt=1unit
5 unit=red
5*0.5=2.5qt, red=2.5qt
3unit=lime
0.5*3=1.5qt
1.5qt, 2/3 of that is yellow, 1/3 is blue, 1.5 times 2/3=1, 1.5 times 1/3=0.5
result:
2.5qt red
1qt yellow
0.5qt blue
Answer:
You would need to score a 93% to have an average of 90.
Step-by-step explanation:
Well, to check my work you would need to find the average.
So, 93 + 92 + 88 + 87 = 360. Then you divide by four; 360 / 4 = 90. ^^
17 - 6 x 10 ÷ 2 + 12 = 17 - 60 ÷ 2 + 12 = 17 - 30 + 12 = -13 + 12 = -1
Answer:
The volume of the cylinder is 3 times the volume of the cone
Step-by-step explanation:
The formula for the volume of the cylinder is given by :
.....(1)
Where
r and h are the radius and the height of the cylinder
The formula for the volume of the cone is given by :
...(2)
From equation (1) and (2),
So, the volume of the cylinder is 3 times the volume of the cone.
