1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lara [203]
3 years ago
6

A culture started with 5,000 bacteria. After 2 hours, it grew to 6,000 bacteria. Predict how many bacteria will be present after

14 hours. Round your answer to the nearest whole number. P=ae^kt
Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0

Answer:

There will be approximately 17915 bacteria after 14 hours.

Step-by-step explanation:

Assuming that the bacteria are growing at a exponential rate expressed by the formula:

P = 5000*e^{k*t}

Where 5000 is the initial number of bacteria and t is the time elapsed in hours, we first need to find the value of k. This is done by applying a known point to the function, which would be 2 hours after the start in this case.

6000 = 5000*e^{k*2}\\e^{2*k} = 1.2\\ln(e^{2*k}) = ln(1.2)\\2*k = ln(1.2)\\k = \frac{ln(1.2)}{2} = 0.09116

We can now predict the number of bacteria after 14 hours as shown below:

P = 5000*e^{(0.09116*14)} = 5000*e^{(1.27624)}\\P = 17915.7

There will be approximately 17915 bacteria after 14 hours.

You might be interested in
Sid starts with savings of £13
MAVERICK [17]

Answer:

The savings of Sid and Tim will be in 17:9 in 6 weeks.

Step-by-step explanation:

Initial savings of Sid = £ 13

Initial savings of Tim = £ 0

For each successive week Sid saved = £ 3.5

For each successive week Tim saved = £ 3

Let us assume that after "x weeks" the amounts of Sid and Tim are in ratio 17:9.

If Sid saves £ 3.5 in one week, in x weeks he will £ 3.5x. Since he had £ 13 initially, total amount he would have in x weeks will be £ (13 + 3.5x)

If Time saves £ 3 one week, in x weeks he will save £ 3x. Since, he didn't have any money initially, in x weeks he would have saved £ 3x

The ratio of their savings in x weeks would be 17:9

So,

Sid's saving : Tim's saving = 17 : 9

Using the values of expressions, we get:

13+3.5x:3x=17:9\\\\\frac{13+3.5x}{3x}=\frac{17}{9}\\\\ 9(13+3.5x)=17(3x)\\\\ 117+31.5x=51x\\\\ 117=51x-31.5x\\\\ 117=19.5x\\\\ x=\frac{117}{19.5}\\\\ x=6

This means, the savings of Sid and Tim will be in 17:9 in 6 weeks.

5 0
3 years ago
Factor the expression.
worty [1.4K]
The is will be -<span>11b3</span><span> - 16b</span>2<span> + </span>4b<span> + </span><span>3</span>
4 0
3 years ago
The Kuroshio Sea tank is 27m long, 35m wide and 10m deep. What is the volume of the tank? Show your
umka21 [38]

The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is  27m long, 35m wide and 10m deep.

Step-by-step explanation:

The given is,

                 Kuroshio Sea tank is 27m long, 35m wide and 10m deep.

Step:1

                Sea tank looks like a rectangular prism,

                 Formula to calculate the volume of rectangular prism,

                                   Volume, V =whl.............................(1)

                Where, w - Width of the rectangular prism

                              h - Height or depth of the rectangular prism

                               l - Length of the rectangular prism

              From given,

                       w = 35 meters

                         l = 27 meters

                        h = 10 meters

             Equation (1) becomes,

                                              V = (35)(10)(27)

                                                  = (945)(10)

                                                 =9450

      Volume of the sea tank, V = 9450 Cubic meters

Result:

         The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is  27m long, 35m wide and 10m deep.

           

3 0
3 years ago
What is the slope of the line graph show below?​
bonufazy [111]

Answer:

The answer is -2

Step-by-step explanation:

slope formula is m= (y2 -y1)/(x2-x1)

m=(3-1)/(0-1)=

m=2/-1 =

m=-2

6 0
3 years ago
Read 2 more answers
a taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile travel
Len [333]
The cost of the ride varies by however many miles is driven, however the charging rate stays the same no matter how long the ride is. In the expression 0.20m + 2.00 , 2.00 is the constant as it stays the same, and 0.20 is the coefficient as is varies with however many miles are driven.
4 0
3 years ago
Other questions:
  • 2(7x-1)1/2-4=0 help plz
    15·1 answer
  • You plant a tree that is 42 inches tall. After one year, the tree is 47 inches tall. Which expression describes the percent incr
    14·1 answer
  • What is the equation for the line
    7·1 answer
  • What is 2,190-2,910=
    15·1 answer
  • How do you know pi x r x r x h
    6·1 answer
  • The water level in Ricky Lake changes at an average of -716 inch every 3 years. a. Based on the rate above, how much will the wa
    15·1 answer
  • Help help help help
    12·1 answer
  • Evaluate the expression when a = 4, b = 2, and c = 8<br><br> bc
    5·2 answers
  • PLEASE ANSWER I NEED HELP WITH THIS I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY​
    10·1 answer
  • GCF OF 14 AND 28 please explain
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!