The given equation is a wave function. When plotted, the graph is shown in the attached picture. However, the unit is in degrees instead of radians. A unit of π is equivalent to 180°. This plot could determine one variable if the other is given.
Answer:
B<C
Step-by-step explanation:
-a is the opposite of a. Since a is a negative number, it will become positive and be bigger than b, which is negative.
c is a positive number, so the opposite will be negative and can not be bigger than c.
<span>Ending Amt = Bgng Amt * e ^-0.03t
In this equation, the "-0.03" is the decay factor or "k"
We can now solve for half-life by this equation:
</span>t = <span>(<span>ln [y(t) ÷ a]<span>)<span> ÷ -k (we can say beginning amount = 200 and ending amount = 100
</span></span></span></span>t = <span>(<span>ln [200 ÷ 100]<span>)<span> ÷ -k
</span></span></span></span>t = <span>(<span>ln [2]<span>)<span> ÷ -k
</span></span></span></span>t = 0.69314718056<span> ÷ --.03
t =</span><span><span><span> 23.1049060187
</span>
about 23 years
</span></span>
Answer:
The antiderivative is 
.
Step-by-step explanation:
Antiderivative F(x)
This is the integral of 
So
F′(x) = f(x) = 6 + 24x^3 + 18x^5
Then:
F(1)=0
when 
. We use this to find K.
Thus
The antiderivative is .
Answer:
$168
Step-by-step explanation:
1 dozen = 12
proportions
12 books ⇔ $144
14 books ⇔ $B
B = 144*14/12
B = $168
