Answer:
9990 years
Step-by-step explanation:
The exponential function with given values filled in can be solved for the unknown using logarithms.
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Q(t) = 12 = 36e^(-0.00011t)
1/3 = e^(-0.00011t) . . . . . . divide by 36
ln(1/3) = -0.00011t . . . . . . take natural logs
t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t
t ≈ 9990 . . . years
The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
<h3>How to determine the volume?</h3>
The complete question is added as an attachment
From the attached image, we have:
Length = 12 - 2x
Width = 7 - 2x
Height = x
The volume is calculated as:
Volume = Length * Width * Height
Substitute the known values in the above equation
Volume = (12 - 2x) * (7 - 2x) * x
This gives
Volume = x(12 - 2x)(7 - 2x)
Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
Read more about polynomial at:
brainly.com/question/4142886
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Answer:
Step-by-step explanation:
<u>Solve the inequality:</u>
- - a + 1/3 > 1/4
- a < 1/3 - 1/4
- a < 4/12 - 3/12
- a < 1/12
Correct choice is B
Answer:
40(1.25-t)
Step-by-step explanation:
There are 3 components to consider; time, speed and distance
Time and Speed are given.
The distance has to be calculated.
- Speed to work = 55 miles per hour
- Time to work = 1.25-T
- Speed to home = 40 miles per hour
- Time to home = 1.25-t
- Total Time = T + t = 1.25
<u>Distance for trip to home</u>
Speed = Distance/Time
40 = Total Distance/1.25-t
Total Distance = 40(1.25-t)
<em>Therefore, 40(1.25-t) is the correct answer.</em>
!!
Answer:
-6
Explanation: use a calculator lol
