Answer:
4.3
Step-by-step explanation:
length = 6 feet
width = 3 feet
height = 5 feet
Volume of rectangular prism = length × width × height
= (6 × 3 × 5) feet
= 90 cubic feet
cylinder of peanuts has a diameter of 7 feet and a height of 10 feet
Volume of a cyclinder = πr^2h
π = 3.14
r = diameter / 2
= 7/2 = 3.5 feet
h =10 feet
Volume of a cyclinder = πr^2h
= 3.14 × (3.5)^3 × 10
= 3.14 × 12.25 × 10
= 384.65 cubic feet
How many rectangular prisms contain the same amount of peanuts as one cylinder container = volume of cylinder container / volume of rectangular prism container
= 384.65 / 90
= 4.274
To the nearest tenth = 4.3
It would be 12 weeks because if you multiply 5 by 12 then you would get 60 and 60min equals and hour.
Any prism has a volume equal to the base area x height. Your base area is that of a pentagon, which you can easily find in google typing 'area pentagon', which has a nice expression with square roots that I can't/don't need to write here.
Y = log x / x
y ` = (( log x )` * x - (x)` * log x) / x²=
= (1/x * x - 1 * log x ) / x² =
= ( 1 - log x ) / x²
y ` = 0;
1 - log x = 0
log x = 1
x = e
The maximum value:
y max = log e / e = 1 / e
a. 7.5
b. 5
c. 2.5
sorry if it is in correct
30 divided by 4 = 7.5
10 divided by 2 = 5
7.5-5=2.5