in an over-fished area, the catch of a certain type of fish is decreasing at an average rate of 8% per year. If this decline persists, how long will it take for the catch to reach half of the amount before the decline???
Answers
= n0(0.92)^t
Putting n = n0 / 2:
1 / 2 = 0.92^t
t = log(1 / 2) / log(0.92)
= 8.31 yr.
Related Questions
Carol and Jan leave from the same place and travel on the same road going the same direction. Carol walks at a rate of 2 miles per hour. Carol left 5 hours earlier than Jan, but Jan rides a bike at a rate of 6 miles per hour. How far did the travel when Jan caught up to Carol?
Which of the following best describes the circumference of a circle?A. The distance across the middle of the circleB. A segment that connects any two points on the circleC. The distance around the circleD. A segment that connects any point on the circle to its center
Write 5 x 10^-3 as an ordinary number.
What is the vertex of the quadratic function f(x) = (x-2)(x-2)
Answers
The graph of f(x) = 3x is reflected across the x-axis is g(x) = f(-x) = 3x.
What is a graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
What is a reflection across the x-axis?
Reflection across the x-axis is defined as reflecting a point across the x-coordinate and y-coordinate change places, and When we have a point (x, y) and we reflect it over the x-axis, the result of the reflection is the point (x, -y)
To determine the graph of f(x) = 3x is reflected across the x-axis.
So the graph of f(x) = 3x is reflected across the x-axis.
⇒ g(x) = f(-x) = 3x
Hence, the graph of f(x) = 3x is reflected across the x-axis is g(x) = f(-x) = 3x.
Learn more about the graphs here:
#SPJ2
Answer:
g(x) = -f(x)
Step-by-step explanation:
When we have a point (x, y) and we reflect it over the x-axis, the result of the reflection is the point (x, -y)
Answers
Answer:
9 1/6
Step-by-step explanation:
t
Answers
4 and 9 and perfect square and 12 is neither a perfect square nor a perfect cube.
Answers
Answer:
It will translate all the points of the graph to the left, or up! Depends on the function.
(-4,6]
(0,11]
[-4,6)
Answers
Given:
The piecewise function is
To find:
The range of given piecewise function.
Solution:
Range is the set of output values.
Both functions and
as linear functions.
Starting value of is at x=-4 and end value is at x=3.
Starting value:
End value:
Starting value of is at x=3 and end value is at x=6.
Starting value:
End value:
Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.
Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.
So, the range of the given piecewise function is [0,11).
Therefore, the correct option is A.
Answers
let's estimate how far Lori road in 1 hour.
=> 19.5 miles in 3 hours = 19.5 to be divided by 3 hours
=> 19.5 / 3 = 6.5
Estimate
=> 20 / 3 / = 6.7
Answer:
6.7, i am trying to help but i am bad at math so if u get it wrong look at a pro answer
Step-by-step explanation: