Can somebody please solve question 11 for me?

A population of a particular yeast cell develops with a constant relative growth rate of 0.4225 per hour. The initial population

Ksju [112]

Answer: The population after 3 hours is 13.9 mill.

Step-by-step explanation:

When we have an exponential with:

A = initial population.

r = constant relative growth rate:

t = time.

The function that models this is:

P(t) = A*e^(k*t)

In this case we know that:

A = 3.9 mill.

r = 0.4225 1.

Then the function that models the population of this yeast cell is:

P(t) = (3.9 mill)*e^(0.4225*t)

where t represents the time in hours.

Then if we want to know the population after 3 hours, we should replace t by 3.

P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.

And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.

The population after 3 hours is 13.9 mill.

8 0

3 years ago

school guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip how many chapero

elena-s [515]

5 chaperones are needed for the trip

3 0

3 years ago

Read 2 more answers

Suppose we want to choose a value of x within 3 units of 11. [This means a value of x that is less than 3 units away from 11.] T

Dahasolnce [82]

Answer:

(a) [8, 14]

(b) $8 \leq x \leq 14$

(c)See attachment

Step-by-step explanation:

We want to choose a value of x within 3 units of 11.

(a)Now, 11-3=8 and 11+3=14

The possible values of x ranges is in the closed interval [8,14]

(b) Since x is within 3 units of 11., we have:

$|11-x|\leq3$

Solving the absolute inequality

$-3 \leq 11-x \leq 3\\$In $ -3 \leq 11-x\\ x \leq 11+3\\x \leq 14\\\\$In $ 11-x \leq 3\\ 11-3 \leq x\\8 \leq x\\$Therefore,an inequality that represents all values of x that meet this constraint is:$\\8 \leq x \leq 14$

(c)To draw the number line, we use a closed dot since we have the less than or equal to sign.

5 0

3 years ago

Read 2 more answers

Which of the following data is used to determine credit scores? A. who stays with you at your current residence B. the location

miskamm [114]

Answer:

The correct option is the length of stay at your current residence.

Step-by-step explanation:

We have been asked that which data is used to determine credit scores.

The correct option is the length of stay at your current residence.

This question is used to determine credit scores. This helps the lender to look up information about your history of payments. When a lender asks this question they are able to determine how long you typically stay in one place, and look up bills at that residence to make sure they are paid on time before giving out a loan. They can also use this information to determine a credit score based on what is being paid on time, late or not at all...

5 0

3 years ago

Express this in standard form 5.4×10^1

Naily [24]

Well it would just be 54 since you just need to move the decimal over by 1.

So 5.4x10= 54

7 0

4 years ago