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
andrezito [222]
3 years ago
13

The number of bacteria present in a culture after t minutes is given as b=1000e^kt where k is a constant. If there are 8520 bact

eria present after 15 minutes, find k and round to the nearest thousandth. a. 0.143 c. 2.143 b. 32.136 d. 0.13
Mathematics
1 answer:
Kryger [21]3 years ago
6 0

To solve this problem, plug 8250 in for b and 15 in for t and then solve for k:

8250=1000e^{15k}

<em>*Divide both sides by 1000*</em>

8.25=e^{15k}

<em>*Take the natural log (ln) of both sides*</em>

2.1102=15k

<em>*Divide both sides by 15*</em>

0.1406=k


0.1406 rounds to 0.141 which is close to a. 0.143.


Hope this helps!!

You might be interested in
The value of y varies directly with x. When y=80, x=1/2. What is the value of y when x is 2 1/4?
spin [16.1K]
Using the formula y = kx 
80 = .5k 
k = 160
y = 160*2.25
y = 360
4 0
3 years ago
There are 50 teens in a work program. The circle graph shows the percentage of workers who have 0, 1, 2, 3, and 4 siblings.
Lostsunrise [7]
So there are 50 teens total
16% have no sibblings

so we must find 16% of 50
16%=16/100=0.16

'of' can be translated as multiply so
0.16 times 50=8
there were 8 teens who have no sibblings
4 0
3 years ago
Read 2 more answers
Please help me, i am horrible at geometry.
Andre45 [30]

Answer:

m<BCD is equivalent to 148*

Step-by-step explanation:

We know this due to the inscribed angle always being congruent to the angle that it inscribes. Hope this helps

7 0
3 years ago
Read 2 more answers
What is the square root of 1,024
Shkiper50 [21]
1024 can be factored into 
<span>2(512) </span>
<span>=2^2(256) </span>
<span>=2^3(128) </span>
<span>=2^4(64) </span>
<span>=2^5(32) </span>
<span>=2^6(16) </span>
<span>=2^10 </span>

<span>Therefore, </span>
<span>√1024 = √(2^10) = 2^5 = 32</span>
4 0
3 years ago
Shania is buying a car. She has narrowed her choice down to three cars: a sedan, a hatchback, and a wagon. She uses a spinner di
Bess [88]

Answer:

its D

Step-by-step explanation:

8 0
3 years ago
Read 3 more answers
Other questions:
  • What would the ratio of the numbed of cans to the price at super saver
    12·1 answer
  • Kai buys 6 fiction books and 4 nonfiction books.
    9·2 answers
  • PLEASE ANSWER ASAP! THANK YOU.
    9·2 answers
  • On Monday, Janelle earned $16 for 2 hours of babysitting. getting paid the same rate, she earned $40 for babysitting on Saturday
    11·1 answer
  • 7x(12+8)-6 order of operation
    10·2 answers
  • How do you solve: negative eight is less than or equal to 8x
    8·2 answers
  • 25% of X<br> (a) 0.25x<br> (b) 0.25 / x<br> (c) 0.25 - x<br> (d) 0.25 + x
    10·2 answers
  • A researcher was interested in comparing the resting heart rate of people who exercise regularly and people who do not exercise
    5·1 answer
  • What number is 0.5% of 8?
    5·2 answers
  • A surf shop charges $6 to rent a wetsuit and $12 per hour to rent a surfboard. Write a function to model the cost, c, to rent a
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!