7 14/18 since you can reduce this to 7 7/9:)
Answer:
R=0.39789 ft
Step-by-step explanation:
For the perfectly mowed lawn, after one revolution, you want the lawnmower to be exactly one lawnmower's width closer to the pole. This implies that one lawnmower width should wrap around the circumference of the pole every revolution. So for this lawnmower we want:
2πR=2.5
⇒R=2.5/2π
R=0.39789 ft
Answer:
17 people per hour
Step-by-step explanation:
85/5
Answer:
- x = log(y/4)/log(1.0256)
- your answer for y=12 is correct
Step-by-step explanation:
The question is asking you to solve ...
y = f(x)
for x. (In other words, find the inverse function.)
You already did this using a constant for y. Do the same thing with y instead of the constant.
y = 4(1.0256^x)
y/4 = 1.0256^x . . . . . . . divide by 4
log(y/4) = x·log(1.0256) . . . . . take logs
log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x
Now, you have a model for x in terms of y, which is what the question is asking for.
x = log(y/4)/log(1.0256) . . . . . . . exact expression
When y=12, this is ...
x = log(12/4)/log(1.0256) ≈ 43.46 . . . . weeks
_____
This is a linear equation in log(y), so can be written as such:
x = 91.0912·log(y) -54.8424 . . . . . approximate expression
