Answer:
1.21 g/day
Step-by-step explanation:
We start with the fact that
The mass of the bacterial colony (in grams) is described by

Where t=Time(in days)
Next, we differentiate with respect to t

Using the formula 


We know that P(t)=6
Now, substitute this value





Insert the given value of t


We understand that 
Applying the formula


By employing 
g/day
Consequently, the instantaneous rate at which the mass of the colony changes is=1.21g/day
Answer:
D
Step-by-step explanation:
it represents entire F as shown in the diagram
Let s denote the count of shirts and h the count of hats.
According to the provided information, the talent show organizers have a budget of $1800 to purchase merchandise clothing for sale at the event. The price for shirts is $10 each, while hats are priced at $8.
The expense for s shirts is given by
, and the cost for h hats is described by
. The combined cost for s shirts and h hats must not surpass 1800, which can be expressed as:

Additionally, they plan to acquire at least five times more shirts than hats. This implies that the quantity of shirts should be at least five times that of hats. This can be represented as:

Therefore, the second inequality should be
making option C the correct answer.
Answer:
The least quantity of water needed to fill the sphere is 
Step-by-step explanation:
We know that
The volume of the sphere (the glass sphere) can be defined as

We have
----> the radius equals half the diameter
Let’s assume

Now substitute


Answer:
$284.79
Step-by-step explanation:
Hope has a balance of $284.79 in her account. She receives a paycheck biweekly.