A particular compound decays according to the equation y = ae^-0.0736t, where t is in days. Find the half-life of the compound.
1 answer:
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is not included as a rational number !
<u>Step-by-step explanation:</u>
Here we have , following expressions & we need to identify which of the following is not a rational number . Let's find out:
We know that , Rational Number : A number which can be expressed in form of p/q , where q is not equal to zero !
Here Expressions are:
:
Let's evaluate this expression
⇒
⇒
Therefore , It is a rational number ! .
:
Let's evaluate this expression
⇒
Therefore , It is a rational number ! .
:
Let's evaluate this expression
⇒
⇒
Therefore , It is a rational number ! .
Let's evaluate this expression
⇒
⇒
Therefore , It is not a rational number , as pi is included ! .
Answer:
Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.
Step-by-step explanation:
Given that,
The function that models the production cost is
To find the number of t-shirt, we put f(t)=40 in given function.
∴40= 0.1t²-6t+100
⇒ 0.1t²-6t+100-40=0
⇒0.1 t²- 6t +60=0
⇒t²-60t+600=0
Applying quadratic formula , a=1, b= - 60 and c=600
= 47.32,12.67
≈47, 12
Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.