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
Makovka662 [10]
3 years ago
5

How many hours will it take a culture of bacteria to increase from 20 to 2000? Use k= 0.614

Mathematics
1 answer:
nikdorinn [45]3 years ago
5 0

Answer:

it will take about 7.5 hours to increase from 20 to 2000

Step-by-step explanation:

y(t) = a  e^kt

20 = a e^ kt1

2000 = a e^ kt2

divide these equations

2000/20 = a e^ kt2/ a e^ kt1

when dividing the exponents subtract

100 =a/a e^(kt2-kt1)

factor out the k

100 = e ^ k(t2-t1)

take the natural log on each side

ln(100) = ln (e^ k(t2-t1)

ln (100) = k(t2-t1)

divide by k

ln(100)/k = (t2-t1)

we know k=.614

ln(100)/.614 = t2-t1

7.500277 = t2-t1

it will take about 7.5 hours to increase from 20 to 2000

You might be interested in
What is the discriminant of 3x2 + 6x = 2?
Softa [21]

Answer:

Discriminant is 60

Step-by-step explanation:

the discriminant of 3x^2 + 6x = 2

To find discriminant , first we write the equation in the form of

ax^2+bx+c=0

3x^2 + 6x = 2

Subtract 2 on both sides

3x^2 + 6x-2=0

a=3, b=6, c=-2

Formula for discriminant is b^2-4ac

Plug in the values

b^2-4ac=(6)^2-4(3)(-2)=60

Discriminant is 60

5 0
3 years ago
Dr. Kang, a cognitive psychologist, conducts an experiment examining the effect of emotion on memory. He provides lists of 15 wo
Ainat [17]

Answer:

21

Step-by-step explanation:

best pickup line: Even if earth didn't have gravity i would still fall for you.

7 0
3 years ago
1/4e-2f - 1/f-2e what is the answer?
timofeeve [1]

Answer:

1

4

(2.718282)−2f−

1

f

−(2)(2.718282)

=

−2f2−4.756993f−1

f

=

−8f2−19.027973f−4

4f

=

−8f2−19.027973f−4

4f

7 0
3 years ago
The box plot below shows the total amount of time, in minutes, the students of a class surf the Internet every day:
inn [45]
A: highest and lowest time surfing the internet
What the look at on the internet
B: 40 to 60 minutes
It represents the middle half of the students in the class
C: there should be no significant effect on the interquartile range if there is an outlier. The graph as a whole would have longer “whiskers” though.
7 0
2 years ago
. Complete the missing steps in the paragraph proof of Theorem 3-8.
Crank
To solve for the missing steps, let's rewrite first the problem.

Given:

In a plane, line m is perpendicular to line t or  m⟂t
                  line n is perpendicular to line t  or  n⟂t


Required:

Prove that line m and n are parallel lines


Solution:

We know that line t is the transversal of the lines m and n.

With reference to the figure above, 

∠ 2 and ∠ 6 are right angles by definition of <u>perpendicular lines</u>. This states that if two lines are perpendicular with each other, they intersect at right angles.

So ∠ 2 ≅ ∠ 6. Since <u>corresponding</u> angles are congruent. 

Therefore, line m and line n are parallel lines.
<span>
<em>ANSWERS: perpendicular lines, corresponding</em>

</span>
8 0
3 years ago
Other questions:
  • WILL GIVE BRAINLIEST ANSWER!!!!
    12·2 answers
  • Mariana, Pamela y Nancy decidieron comprar una consola de video juegos X Box y acordaron que cada una aportará 1/3 parte del cos
    15·1 answer
  • I need help ASAP ! I don't understand it! Anyone??
    15·2 answers
  • Need help with this math problem
    11·1 answer
  • If 15 basketballs weigh 75 ounces, how many basketballs weigh 15 ounces?
    12·2 answers
  • Ben is training for a triathlon he runs 1/5 of a mile in 1/20 of an hour he swims 2/3 of a mile in 1/9 of an hour he bikes for m
    9·1 answer
  • Together, Preston and Horatio have 49 video games. Horatio has 11 more games than Preston. How many games does each person have?
    14·1 answer
  • A guitar is on sale for 20% off the original price. Let p represent the original price. What expression can be used to calculate
    15·1 answer
  • 2 1/4 = 1 2/7÷x<br><br> what is x?
    14·1 answer
  • - A random drawing will determine which 3 people in a group of 9 will win concert tickets.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!