Answer:
There will be 729 daffodils in the sixth week
Step-by-step explanation:
Given
--- start
--- weekly rate
Required
Number of daffodils in 6th week
This question illustrates an exponential function which is represented as

Where
f(x) = Number of daffodils at x week
x = The week
a = Initial number of daffodils
b= rate
So, we have:


Hence:


At the 6th week

So:
<em> ---- as a power</em>
<em> --- related multiplication</em>
<em> --- standard form</em>
To get started, we will use the general formula for bacteria growth/decay problems:

where:
A_{f} = Final amount
A_{i} = Initial amount
k = growth rate constant
t = time
For doubling problems, the general formula can be shortened to:

Now, we can use the shortened formula to calculate the growth rate constant of both bacteria:
Colby (1):


per hour
Jaquan (2):


per hour
Using Colby's rate constant, we can use the general formula to calculate for Colby's final amount after 1 day (24 hours).
Note: All units must be constant, so convert day to hours.


Remember that the final amount for both bacteria must be the same after 24 hours. Again, using the general formula, we can calculate the initial amount of bacteria that Jaquan needs:

Answer:
21
Step-by-step explanation:
21 боладыма! дұрыспа
Hi!
<h3>
Your answer is the first option, 0.17.</h3>
To solve this, we will have to do a few things.
- Solve for the area of the triangle
- Solve for the area of the rectangle
- Find what percent the area of the triangle is of the area of the rectangle
<h3><u>
STEP ONE</u></h3>
<u>Area of a triangle:</u> 
Use the given values to plug it into the formula:



The area of the triangle is 12 centimeters squared.
<h3><u>
STEP TWO</u></h3>
<u>Area of a rectangle:</u> 
Use the given values to plug it into the formula:


The area of the rectangle is 70 centimeters squared.
<h3><u>
STEP THREE</u></h3><h3 />
To do this step, we must divide the area of the triangle by the area of the rectangle.
This will give us the percent that the triangle is of the rectangle, and hence will give us the probability of it landing inside of the rectangle.
So:

<em>Therefore, the probability that a point chosen randomly inside the rectangle is in the triangle is 0.17.</em>
Answer: make 6 jumps which are 0.4 long to get 2.4
Step-by-step explanation: