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
luda_lava [24]
3 years ago
12

In a lab experiment, 720 bacteria are placed in a Petri dish. The conditions are such that the number of bacteria is able to dou

ble every 26 hours. How long would it be, to the nearest 10th of an hour until there are 1310 bacteria present?
Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

Answer:

22.4 hours

Step-by-step explanation:

The population of bacteria is modelled by the equation:

P=P_0e^{rt}

From the the question, the initial population of bacteria is 720.

So after 26 hours, we have:

P=2P_0

This implies that:

2P_0=P_0e^{26r}

2=e^{26r}

26r =  ln(2)

r =  \frac{ ln(2) }{26}

r = 0.0267

We want to find how long it will take for there to be 1310 bacteria present.

1310=720e^{0.0267t}

\frac{1310}{720}  =  {e}^{0.0267t}

\ln(\frac{1310}{720})  = {0.0267t}

0.59853= {0.0267t}  \\ t =  \frac{0.59853}{0.0267}

t = 22.417

To the nearest tenth , it will take 22.4 hours

You might be interested in
Can someone plsss help?
Anni [7]

Answer:

D. X/Y

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the length of arc AD. Use 3.14for r. Round to the nearest tenth.7.9 cmB66.4DС[? ]cmEntar
ch4aika [34]

The first thing we must do is calculate the circumeference:

\begin{gathered} c=2\cdot\pi\cdot r \\ c=2\cdot3.14\cdot7.9 \\ c=49.612 \end{gathered}

now, calculate the angle of arc

360° = 49.612

360° - 66.4° - 180° = x

x = 113.6°

now, to calculate the arc length it would be:

undefined

5 0
1 year ago
Write an equation in point-slope form, y – y1 = m(x – x1), of the line through points (9, –2) and (10, 2). Use (9, –2) as the po
True [87]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 9 &,& -2~) 
%  (c,d)
&&(~ 10 &,& 2~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-(-2)}{10-9}\implies \cfrac{2+2}{10-9}\implies \cfrac{4}{1}\implies 4
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-2)=4(x-9)\implies y+2=4(x-9)
4 0
3 years ago
Please help the questions are in the picture above
svp [43]

Not sure if I'm right but I think it's 3(x - 6) (x^2 + 5x)

Step-by-step explanation:

3x^3 - 3x^2 - 90x

Apply GCF: 3 (x^3 - x^2 - 30)

Split 30 into -6 and 5

(x^3 - 6x^2) (5x^2 - 30x)

GCF of both: x^2 (x - 6) and 5x (x - 6)

DON'T FORGET TO CARRY THE 3

And your answer is 3 (x - 6) (x^2 + 5x)

5 0
3 years ago
HELP PLEASE I NEED TO SUBMIT MY TEST!!
8090 [49]

Answer: 20

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • The probability of Mrs. Galvan randomly selecting a black pen from the 20 pens in her drawer is . Which of the following describ
    6·1 answer
  • Solve (2x + y) (2x - y)
    6·2 answers
  • When addressing an envelope for delivery in the United States or Canada, the zip code should appear
    8·1 answer
  • Find the function values given the function values given the function h(x)=x+6. Complete parts (a) through (f) below.
    7·1 answer
  • The last time he checked, Matthew was 40 inches tall. Matthew just measured himself again and found out that he is 10% taller no
    9·1 answer
  • Find the value of c so that (x+2) is a factor of the polynomial p(x). p(x)=4x^3+cx^2+x+2
    12·1 answer
  • If the markup formula is 40% of cost and selling price of an item is 4999 what is the cost
    13·1 answer
  • Need help with this trigonometry
    13·1 answer
  • -42 &lt; j(7)<br> Solving one step inequalities
    7·1 answer
  • Divide.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!