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
The amount of waste is 22 oz
<h3>How to determine the waste amount?</h3>
The weights of the 3 rainbow trouts are:
3 Ib 5 oz, 2 Ib 12 oz, and 3 Ib 8 oz.
The total weight is:
Total = 3 Ib 5 oz + 2 Ib 12 oz + 3 Ib 8 oz
Evaluate the sum
Total = 8 Ib 25 oz
The amount she was left with is 8 Ib 2 oz
Subtract this amount from the total
Waste = 8 Ib 25 oz - 8 Ib 2 oz
Evaluate
Waste = 22 oz
Hence, the amount of waste is 22 oz
Read more about sum and difference at:
brainly.com/question/10739762
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Step-by-step explanation:
so sorry
don't know but please mark me as brainliest please
Answer:
It takes 3 seconds over the interval [0,3]
Step-by-step explanation:
To find when the roller coaster reaches the ground, find when d=0.
To solve divide each term by 16 and factor:
Solve for t by setting each factor to 0.
t-3=0 so t=3
t+3=0 so t=-3
This means the car is in the air from 0 to 3 second.
