answer please help 50! Points!!! Name the factors that animals and humans use to determine echolocation
1 answer:
You might be interested in
<h2>Answer</h2>
f(x) = 5(1.25)x + 4
<h2>Explanation</h2>To solve this, we are going to use the standard exponential equation:
where
is the initial amount
is the growth rate in decimal form
is the time (in months for our case)
Since the hours of classic music remain constant, we just need to add them at the end. We know form our problem that Sue initially has 5 hours of pop, so ; we also know that every month onward, the hours of pop music in her collection is 25% more than what she had the previous month, so
. Now let's replace the values in our function:
Now we can add the hours of classical music to complete our function:
The exact length of the curve given the following system of inequalities is ≈ 1637.
<h3>What is a system of inequalities?</h3>A system of inequalities refers to a set of two or more inequalities with one or more variables. This kind of system is used when a problem needs a range of solutions a there is over one constraint.
<h3>What is the length of the curve with the above system of inequalities?</h3>Step One - Let's restate the equations
We have:
x = 5 + 9t²
y = 4 + 6t³
Where
0 ≤ t ≤ 3
Step 2 - Differentiate them
The first derivative of dx/dt
= d/dt [9t² + 5)
= 9 * (d/dt) (t²) + (d/dt) (5)
= 9.2t + 0
= 18t
Also differentiate (dy/dt)
= d/dt [6t² + 4]
= 6 * (d/dt) [t³] + (d/dt) [4]
= 6.3 t² + 0
= 18t²
To find the length of the arc:
L =
We can thus deduce that:
=
=
Compute the definite integral and factor out the constraints and we have:
dt = 4912/3
≈ 1,637.3
Hence the exact length of the curve is
≈ 1637
Learn more about the system of inequalities at:
brainly.com/question/9774970
#SPJ1