100 factorial is 1*2*3*......*100
Number of multiples of 2 less than 100 = 49
Number of multiples of 3 less than 100 = 33
We are double counting those that are multiples of 2 and 3 (or 6)
Number of multiples of 6 less than 100 = 16
49+33-16 =66
There are 66 factors that are multiples or 2 or 3
Answer:
Step-by-step explanation:
Give the DE
dy/dx = 1-y
Using variable separable method
dy = (1-y)dx
dx = dy/(1-y)
Integrate both sides
∫dx = ∫dy/(1-y)
∫dy/(1-y)= ∫dx
-ln(1-y) = x+C
ln(1-y)^-1 = x+C
Apply e to both sides
e^ln(1-y)^-1 = e^,(x+C)
(1-y)^-1 = Ce^x
1/(1-y) = Ce^x
Answer:
Step-by-step explanation:
Remark.
I take it we are only concerned with the deep lime face that we can see closest to us.
Construction
Draw one line that goes from the right of the left foot up to the 18 foot line
Draw another line that goes from the left of the right foot up to the 18 foot line.
label the width of the right foot as 18 - 6 - 6 = 6
Solution
Right foot
Area = L * w
L = 12 feet
w = 6 feet
Area = 12*6 = 72
Left foot (same area) 72
Area above the door.
Height = 12 - 6 = 6
width 6
Area = 6 * 6 = 36
Answer: Total Area = 72 + 72 + 36 = 180
Well first of all, let's define what an integer is...
Integers are numbers such as -2, -1, 0, 1, 2 etc etc.
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If f(5)=12,
f(6)=0.3*f(6-1)
= 0.3*f(5)
= 0.3*12
= 3/10 * 12
= 36/10
= 3.6
We now know that f(6)=3.6
Now:
f(7)=0.3*f(7-1)
= 0.3*f(6)
= 0.3*3.6
= (3/10) * (36/10)
= 108/100
= 1.08
Answer:
f(7)=1.08