Answer:

Answer: 380000 cells/hour

Step-by-step explanation:

Given that dP/dt = 0.19P(t)

where

P(t) is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours).

The formula above represents a mathematical model for the growth of a certain cell culture. In essence, it represents the time rate of the growth of the cell culture, that is how fast the cell culture is growing.

Therefore, when P = 2 million cells:

dP/dt = 0.19 * 2000000 = 380000 cells/hour

Hence, the cell culture is growing at 380000 cells per hour.

Answer:
### Final answer:

### Explanation:

### Learn more about Exponential Growth

The cell culture is growing at a rate of 0.38 million cells per hour when the size of the culture reaches 2 million cells. This is based on the given differential equation dP/dt = 0.19P(t).

This problem is associated with the concept of** differential equations**, particularly exponential growth. In this scenario, the rate of change of P(t), the size of the cell culture, is given by the equation dP/dt = 0.19P(t). This can be interpreted as the culture is growing at 19% per unit of time.

To determine how fast the** culture is growing** when P(t) equals 2 million cells, we need to substitute 2 for P(t) in the given equation: dP/dt = 0.19*2. This calculation returns a value of 0.38 million cells per hour. Therefore, when the size of the culture reaches 2 million cells, it is growing at a rate of 0.38 million cells per hour.

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Does the Associative property always,sometimes, or never hold for subtraction? explain your reasoning using examples and counterexamples

PLEASE help its for an exam i would really appreciate it , at the top it says “Drag the tiles to solve the given equation for x and justify step in your solution. you must fill every slot in the table in order for your answer to be scored correctly.”

Making Connections: Selecting a CareerApply Your Knowledge I will double the points if you get this completely done (that means both documents completed with the correct answers)

How did you do this question?

What is the solution to the equation 9x+27=9( x+2) +9

PLEASE help its for an exam i would really appreciate it , at the top it says “Drag the tiles to solve the given equation for x and justify step in your solution. you must fill every slot in the table in order for your answer to be scored correctly.”

Making Connections: Selecting a CareerApply Your Knowledge I will double the points if you get this completely done (that means both documents completed with the correct answers)

How did you do this question?

What is the solution to the equation 9x+27=9( x+2) +9

**Answer:**

21

**Step-by-step explanation:**

Let the smallest of the numbers be N

The other two numbers (consecutive) would be written as (n + 2), (n + 4)

Expressing these as an equation gives : (n) + (n+2) + (n+4) = 69

opening the bracket and collecting like terms, we have:

n+n+n+2+4=69

3n + 6 = 69

3n = 69 - 6

3n = 63

Dividing both sides by 3 or making n the subject formular, we get:

n = 63/3

n = 21.

Note, the other numbers are: 21, 23, and 25

They are all odd numbers

Their sum equals to 69

Eight times the **difference **of y and nine will be **8(y - 9).**

It should be noted that eight times the** difference **of y and nine simply means that one has to** subtract **9 from y and then **multiply **the difference by 8.

Therefore, eight times the** difference **of y and nine will be **8(y - 9).**

In conclusion, the correct option is **8(y - 9).**

Read related link on:

**Answer:**

(y-9)8

**Step-by-step explanation:**

you first solve 8-9, and then multiply is by 8.

dollars, find a reasonable estimate for his total income during the

12 week summer.

A) $700

B) $800

C) $1200

D) $1700

1200 as you would round it down to 100 a week so you would do 100x12

Answer: 63 apple trees

Explanation: divide 42 by 4 to get that amount of groups (10.5) then multiply that number by 6 so (10.5 • 6) and that should give the apple tree total.

Explanation: divide 42 by 4 to get that amount of groups (10.5) then multiply that number by 6 so (10.5 • 6) and that should give the apple tree total.

**Answer:**

$890 or it's $34211.6

**Step-by-step explanation:**

you divide 5518 by 6.2% or you multiply them

y''-x^2y=o

We're looking for a solution

which has second derivative

Substituting these into the ODE gives

Right away we see , and the coefficients are given according to the recurrence

There's a dependency between terms in the sequence that are 4 indices apart, so we consider 4 different cases.

- If , where is an integer, then

and so on, with the general pattern

- If , then

and so on, with

- If or , then

Then the solution to this ODE is