A simple off bacteria is debating according to the half life model. If the simple begins with 800 bacteria, and after 18 minutes there is 240 bacteria, after how many minutes will there be 40 remaining

Answers

Answer 1

Answer:

After 43 minutes, the bacteria will be 40 remainings.

Step-by-step explanation:

Given that:

Initial population of bacteria [tex]A_o[/tex] = 800

After time (t) = 18 mins

A = 240

Using the model:

[tex]A = A_o e^{k*t}[/tex]

[tex]240=800 e^{k*18}[/tex]

[tex]\dfrac{240}{800}= e^{18k}[/tex]

[tex]0.3= e^{18k}[/tex]

By applying natural log on both sides, we get:

In(0,3) = 18k (In e)

- 1.20397 = 18 k * (1)

18 k = -1.20397

k =  -1.20397/ 18

k = - 0.06688

k ≅ -0.07

After time (t), the bacteria population (A) = 40

Now;

[tex]40 = 800 e^{k*t}[/tex]

[tex]\dfrac{40 }{800}= e^{-0.07*t}[/tex]

[tex]0.05= e^{-0.07*t}[/tex]

In (0.05) = -0.07t * In (e)

- 2.9957 = - 0.07t

t = - 2.9957/ -0.07

t = 42.795

t ≅ 43 minutes

Thus, after 43 minutes, the bacteria will be 40 remainings.


Related Questions

Which of the following is most likely the next step in the series? O B. On # on # OCH oath​

Answers

Answer:

I don't really understand the question? could you explain please :)

Step-by-step explanation:

please answer them alll 50 points
Review the function equation below.

y = −9x + 3

Enter the slope of the function in the box.
Question 2 (1 point)

Question 2 options:

Review the function equation below.

y = −9x + 3

Enter the y-intercept of the function in the box.
Question 3 (1 point)

Question 3 options:

Review the function equation below.

y = 5x − 7

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Question 4 (1 point)

Question 4 options:

Review the function equation below.

y = 5x − 7

Enter the y-intercept of the function in the box.
Question 5 (1 point)

Question 5 options:

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Question 6 (1 point)

Question 6 options:

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Question 7 (1 point)

Question 7 options:

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Question 8 (1 point)

Question 8 options:

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Question 9 (1 point)

Question 9 options:

Review the function graph below.

Enter the slope of the function in the box.
Question 10 (1 point)

Question 10 options:

Review the function graph below.

Enter the y-intercept of the function in the box.

Answers

Answer:

1. slope -9

y-int (0, 3)

2. slope 5

y-int (0, -7)

we don't have the tables

What is the quotient when (-12x^9 + 3x^7 + 24x^6) is divided by 6x?

Answers

Answer:

(-12x^9+3x^7+24x^6)÷6=-2×^10+1/2x^8+4x^7

PLEASE HELP!!! FOR 60 POINTS!! New York City has two airports (JFK and LGA). If you’re flying with United Airlines (UA) and your primary concern is to arrive on time, is it better to fly to JFK or to LGA?

Answers

Answer:

If you're heading into New York City, LaGuardia is the closest. It's just 8.6 miles from LaGuardia to Midtown Manhattan, compared to 14.7 miles from JFK and 16.6 miles from Newark.

Step-by-step explanation:

To assess if flying with United Airlines to LGA is better in terms of arriving on time, we would have to examine the on-time performance data for United Airlines flights at both airports.

What are United Airlines flights?

United Airlines is a significant American airline that flies domestically as well as internationally. The airline provides a wide range of services, such as passenger transportation, cargo delivery, and vacation packages.

The US Department of Transportation tracks and distributes on-time performance information for airlines and airports on its website. We can assess whether airport has a higher on-time performance record for this carrier by examining statistics for United Airlines trips to LGA.

LGA are both important airports that serve the greater New York City area, and both can face delays and congestion. Arrive at the airport well in advance of the scheduled departure time and check with your airline for any changes.

Therefore, to assess if flying with United Airlines to LGA is better in terms of arriving on time, we would have to examine the on-time performance data for United Airlines flights at both airports.

Learn more about United Airlines flights, here:

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9+3.5g=11−0.5g9, plus, 3, point, 5, g, equals, 11, minus, 0, point, 5, g
g =

Answers

Answer:

g = 1/2

Step-by-step explanation:

Here, we want to calculate the value of g from the given equation

9 + 3.5g = 11-0.5g

11-9 = 0.5g + 3.5g

2 = 4g

g = 2/4

g = 1/2

Answer:

1/2

Step-by-step explanation:

what is 5 - 3x + x - 32 in a simplified expression?

Answers

Answer:

-27-2x

Step-by-step explanation:

5-3x+x-32

(collect like terms)

5-32-3x+x

-27-2x

Let's simplify step-by-step.

5−3x+x−32

=5+−3x+x+−32

Combine Like Terms:

=5+−3x+x+−32

=(−3x+x)+(5+−32)

=−2x+−27

Answer:

=−2x−27

18.6 divided by 3 long division sorry to lazy

Answers

6.2 I hope that helps

Which expression is equal to [(x4)2x3y5]??
x 26 y 10
x 22 y 10
x 13 y?
x 11 y?

(the 2,3, & 5 are all smaller)

Answers

edge 2020

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

i did it

where does the line cross in the equation y=2x=12

Answers

If you mean y=2x+12 then the line crosses at positive 12


If the lengths of two sides of a triangle are 10 meters and 14 meters, which of the following measures is the
possible length of the third side?
O 2 meters
O 4 meters
O 22 meters
O 24 meters

Answers

C, 22 meters.

The rule is that the two smallest sides need to add up to be greater than the largest side.


2 meters + 10 meters is smaller than 14, so it doesn’t work
4 meters + 10 meters is only equal to 14, so it doesn’t work either
10 meters + 14 meters IS greater than 22, so it does work
10 meters + 14 meters is equal to 24, so it doesn’t work.
Answer: 22 meters

Explanation: You need a bigger side if you have two smaller sides.

Help me pleaseee on this plss

Answers

Answer:

a(n)= -4n-6

Step-by-step explanation:

If you plug the number of the sequence in as n in the equation (1=-10, 2=-14, etc.) and then plug the actual number (-10, -14, etc.) in as the a(n), for each of the equations, the only one that works with all four is the first one.

Find the value of 16 2/3% of Rs.4500​

Answers

Answer:

Rs 750 .

Step-by-step explanation:

We need to find 16 ⅔ % of Rs 45,00 .

So , we can write 16 ⅔ % as 50/3 %.

= [tex]\dfrac{50}{\cancel3}\times Rs ,\cancel{ 4500 }^{1500}\times\dfrac{1}{100}[/tex]

=[tex]\red{ Rs 750 }[/tex]

PLZZZZZZZZZZ HELP MEEEEEEEEEEE IM TIMED AND PLZZZ EXPLAIN HOW YOU GOT THE ANSWER
Terrance uses the jugs of water to fill cups with approximately 3.75 ounces of water each. About how many cups can Terrance fill if he uses all of the water in the jugs? Show your work or explain how you determined your answer.

1 gallon = 128 fluid ounces

Enter your answer and your work or explanation in the box provided.

Answers

Answer:

34.13

Step-by-step explanation:

1) Divide 128 by 3.75 which will give you 34.13

Answer: 34.13

Hope this Helps!

Using the laws of indices simplify 625^3/8 ×5^1/2÷ 25​

Answers

Answer:

1

Step-by-step explanation:

[tex] \huge {625}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div 25 \\ \\ = \huge {( {5}^{4})}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ = \huge{5}^{ \cancel4 \times \frac{3}{ \cancel8 \: \: \red{ \bold 2}} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} + \frac{1}{2}} \div {5}^{2} \\ \\ \huge= {5}^{ \frac{4}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ 2 } \div {5}^{2} \\ \\ \huge= {5}^{ 2 - 2 } \\ \\ \huge= {5}^{ 0 } \\ \\ \huge= 1[/tex]

solve for a - due soon!

Answers

a = 1/2 or 0.5
My work is shown below. I hope this helped!! ^w^

In only three days the temperature dropped by 24 degrees.How many degrees per day did the temperature drop?

Answers

Answer: 8° per day.

Step-by-step explanation:

Based on the information above, since we are informed that in three days, the temperature dropped by 24 degrees, the number of degrees per day that the temperature dropped will be go by dividing 24° by 3 days. This will be:

= 24° / 3 days

= 8° per day

What number makes the sentence true?
15 – 7 = 3+1

Answers

Answer:

4

Step-by-step explanation:

Although you didn't give me any answers to go with your problem, I am assuming that since 15-7 is 8, and 3 + 1 = 4, the answer should be 4. Now regarding if it is times, it would be x2. Because for times 2 would be 8. Overall the answer should be 4.

plz help asap i will mark you brainlist plz help

Answers

459 is the answer. It’s addition

A scholar surveyed educators to determine if there was correlation between age and holding a doctorate degree. The survey results are below: Have a doctorate Do not have a doctorate 30 or younger 10 25 Older than 30 14 22 How many educators have a doctorate and are older than 30?

Answers

Answer:

14

Step-by-step explanation:

Given the result :

______________Doctorate ___ No doctorate

30 or younger ___ 10 ___________ 25

Older than 30 ___ 14 ___________ 22

Number of educators who have a doctorate and older than 30 = 14 ( from the table)

Older than 30 n Doctorate = 14

what is the cost of 1 pound of pears?

Answers

Answer:

2.8

Step-by-step explanation:

Answer:

$1.75

Step-by-step explanation:

 write an expression equivalent to 9X +14

Answers

Answer:

The correct answer is 9x+14

Step-by-step explanation:

Let's simplify step-by-step.

9x+14

There are no like terms.

PLEASE HELP I WILL GIVE BRAINLIEST ANSWER! What is y-5/3=1?????

Answers

Answer:

Y =1 is a good answer for this question.

This is your perfect answer

Write 6.25 in expanded notation.

Answers

Answer:

6.00+0.20+0.05

Step-by-step explanation:

Answer:

6.25 in expanded notation should be written as: (6 x 1) + (2/10) + (5/100).

Step-by-step explanation:

Hope I can really help:).

What is the Least Common Denominator for the two fractions? 1/4 and 7/10​

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

20

Step-by-step explanation:



A gift shop wants to make gift baskets for its regular customers. There are 24 bottles
of shampoo, 36 tubes of hand lotion, and 48 bars of soap. The same number of each
item should be in each basket. What is the greatest number of baskets that can be
made?

Answers

Answer:

Find the biggest # that can divide all 3 #'s, and that's your answer.

Step-by-step explanation:

24 is divisible by:

1, 2, 3, 4, 6, 8, 12, 24

36 is divisible by:

1, 2, 3, 4, 6,  9, 12, 18, 36

48 is divisible by:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The biggest # that can divide all 3 #'s is 12, so the greatest amount of baskets that can be made is 12 baskets.

what are all possible exterior angles of an isosceles triangle with a base angle of 31°

Answers

Answer:

so first we will find the interior angle:  

1 angle :  31 (given )

2 angle :31 ( the base angles of isoscles triangle are equal)

3 angle : 31 + 31 + x = 180                     ( angle sum property of triangle)

              x = 180 - 62 = 118

now the exterior angles :

1 angle : 180 - 31 = 149 ( exterior angle and the angle adjacent usually forms  a line (= 180) )

2 angle : 149 ( same reason as the first)

3 angle : 180 - 118 = 62 (  same reason as the first)

( i dont know if there is any other way, but this is one)

PLEASE HELP FAST WHAT IS THE ANSWER FOR THIS QUESTION I WILL GVIE BRAINLIST AND EXTRA POINTS FOR CORRECT ANSWER THANKS!!

Answers

Answer:

f(2) = -3

Step-by-step explanation:

This is the answer because:

1) The question is basically asking what the y-cordinate is.

2) In order to find the y-cordinate, look at the graph and find where 2 is on the x-axis. Then, see wheree the y-coordinate is on the same line a the x-cordinate which is 2.

3) When you line up the cordinates, you can see that where x is 2, y is -3.

Therefore, the answer is -3.

Hope this helps! :D

THIS IS WRONG CAN SOMEONE CORRECT THIS PLEASE THANK YOU
A football team wants to buy a football. The football costs $52. There are 13 members of the team. How much will each of the team members contribute to be able to purchase the football if they had $28 already.

Solution: Let the amount each team member contributes be x, then
13x + 28 ≥ 52
13x ≥ 52 - 28
13x ≥ 22
x ≥ 22/13
x ≥ 2

Answers

Answer:

heyyyyyyyyyyyyyyy

Step-by-step explanation:

Answer:

sheeshhhhhhhhhhhhh    

;)

Step-by-step explanation:

daddy chill

Hey I need help ASAP!
Identify the function shown in this graph

Answers

Answer:

The answer is B.

y=-5x + 3

Step-by-step explanation:

Hope this helps

Convert 1.42 m to customary units

Answers

Answer:

the answer is

Step-by-step explanation:

1.553 yards

1.42 m to customary units is 1.553 yards.

What is customary units?

On the other hand, "customary" US units have relationships that are not powers of 10;

 1 ft = 12 in

 1 yd = 3 ft

 1 rod = 5.5 yd

 1 chain = 4 rods

 1 furlong = 10 chains = 220 yards

 1 mile = 8 furlongs = 1760 yards = 5280 feet

The point of this exercise is to give you an appreciation of the fact that metric length units are related by powers of 10 means units conversion generally consists only of adjustment of the decimal point, or the power of 10 (for numbers in scientific notation).

For example;

1 cm = 10 mm

 1 dm = 10 cm

 1 m = 10 dm = 100 cm = 1000 mm

 1 km = 1000 m

The prefixes m, c, d, k are standard SI prefixes applicable to other SI units as well.

Therefore, the conversion from one unit of US customary measure to another involves conversion factors that are not always easily remembered.

Hence,  1.42 m to customary units is 1.553 yards.

Learn more about conversion here;

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