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
kiruha [24]
3 years ago
9

A researcher studying microorganisms has discovered a strain of bacteria that doubles every 2.8 days. How many bacteria will the

researcher have after 7.3 days if they started with 650 bacteria?
Mathematics
1 answer:
Luden [163]3 years ago
4 0

Answer:

3960.4 bacteria

Step-by-step explanation:

The formula to solve the above question is given as:

P(t) = Po (2) ^t/k

P(t) = Population after time t = ?

Po = Initial population = 650 bacteria

t = Time in days = 7.3 days

k = doubling time = 2.8 days

P(t) = 650 × (2)^7.3/2.8

P(t) = 650 × 2^2.6071428571

P(t) = 650 × 6.0929582599

P(t) = 3960.4228689 bacteria.

Approximately = 3960.4 bacteria

Therefore, the number of bacteria the researcher will have after 7.3 days if they started with 650 bacteria is 3960.4 bacteria.

You might be interested in
A​ 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} . Find the probability
Free_Kalibri [48]

Answer:

11/12

Step-by-step explanation:

Greater than 1: 2,3.... 12

P(greater than 1) = 11/12

7 0
3 years ago
Read 2 more answers
Can someone help me please
Iteru [2.4K]

Answer:

1) 3.75

2)0.833333

3)3.66666

Step-by-step explanation:

See photo for Step-bystep explanation

3 0
2 years ago
Equation that has solutions x = -2 and x = 8
VLD [36.1K]
If you were to solve this equation you would get answers of x=-2 and x=-8

3 0
3 years ago
On Saturday, Lukas drove 4x – 5 miles. On Sunday, he drove 3x – 10 miles. What is the difference in miles driven?
Soloha48 [4]

Answer:

C

Step-by-step explanation:

(4x-5) - (3x-10) = ?

(4x-5) - 1 (3x-10) = ? DISTRIBUTE THE INVISIBLE -1 to (3x-10)

Turns into: 4x - 5 - 3x + 10

Which equals: x + 5

8 0
3 years ago
Solve the following equation:
Rama09 [41]

Complete the square.

z^4 + z^2 - i\sqrt 3 = \left(z^2 + \dfrac12\right)^2 - \dfrac14 - i\sqrt3 = 0

\left(z^2 + \dfrac12\right)^2 = \dfrac{1 + 4\sqrt3\,i}4

Use de Moivre's theorem to compute the square roots of the right side.

w = \dfrac{1 + 4\sqrt3\,i}4 = \dfrac74 \exp\left(i \tan^{-1}(4\sqrt3)\right)

\implies w^{1/2} = \pm \dfrac{\sqrt7}2 \exp\left(\dfrac i2 \tan^{-1}(4\sqrt3)\right) = \pm \dfrac{2+\sqrt3\,i}2

Now, taking square roots on both sides, we have

z^2 + \dfrac12 = \pm w^{1/2}

z^2 = \dfrac{1+\sqrt3\,i}2 \text{ or } z^2 = -\dfrac{3+\sqrt3\,i}2

Use de Moivre's theorem again to take square roots on both sides.

w_1 = \dfrac{1+\sqrt3\,i}2 = \exp\left(i\dfrac\pi3\right)

\implies z = {w_1}^{1/2} = \pm \exp\left(i\dfrac\pi6\right) = \boxed{\pm \dfrac{\sqrt3 + i}2}

w_2 = -\dfrac{3+\sqrt3\,i}2 = \sqrt3 \, \exp\left(-i \dfrac{5\pi}6\right)

\implies z = {w_2}^{1/2} = \boxed{\pm \sqrt[4]{3} \, \exp\left(-i\dfrac{5\pi}{12}\right)}

3 0
1 year ago
Other questions:
  • Find the difference 3 d and 7 d<br>​
    11·2 answers
  • We have 8 yards of wraping paper. if we use 2 feet for each present how many present can we wrap
    14·2 answers
  • Kyle rides his bicycle 15 mph for 2 hours how far does he travel
    10·2 answers
  • The diagram below shows the construction of the bisector of ∠abc. which statement is not true?
    7·1 answer
  • Explain why the solution set of the inequality |x|&lt;5 is the intersection of two sets, while the solution set of the inequalit
    14·1 answer
  • How do you solve the equation 9/14=-2
    6·1 answer
  • Every week, Hector works 20 hours and earns $210.00. He earns a constant amount of money per hour.
    7·1 answer
  • (3x+2) and (5x-6) solve for x
    11·1 answer
  • Solve the equation <br> 2x + 2x +2 = 4x + 2
    10·2 answers
  • If 2/3x − 1 = 4, then x=
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!