Ask question

Ask question

All categories

2 years ago

5

A certain colony of bacteria begin with one cell and the population doubles every 20 minutes. What was the population of The Col

ony after 2 hours?
a. 6
b. 12
c. 32
d. 64

1 answer:

svetoff [14.1K]2 years ago

3 0

First 20 minutes:1 Second 20:2 Third 20:4 Fourth 20: 8. Fifth 20: 16 Sixth 20: 32. C is your answer

You might be interested in

It takes 4 people 2 days to paint a wall. How long would it take if we got 8 people to do it?

Slav-nsk [51]

Answer:

if it takes 4 people for 2 days

4+4= 8

so it would only take 8 people for 1 day

7 0

2 years ago

Read 2 more answers

Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees

a_sh-v [17]

Answer:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

Step-by-step explanation:

Rewrite the equation as:

$\frac{dy(x)}{dx}-tan(x)=y(x)^{2} *tan(x)$

Isolating $\frac{dy}{dx}$

$\frac{dy}{dx} =tan(x)+tan(x)*y^{2}$

Factor:

$\frac{dy}{dx} =tan(x)*(1+y^{2} )$

Dividing both sides by $(1+y^{2} )$ and multiplying them by $dx$

$\frac{dy}{1+y^{2} } =tan(x)dx$

Integrate both sides:

$\int\ \frac{dy}{1+y^{2} } = \int\ tan(x) dx$

Evaluate the integrals:

$arctan(y)=-log(cos(x))+C_1$

Solving for y:

$y(x)=tan(-log(cos(x))+C_1)$

Evaluating the initial condition:

$y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)$

$\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1$

Converting 60 degrees to radians:

$60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}$

Replacing $C_1$ in the diferential equation solution:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

3 0

2 years ago

Pleas help me I have so much more left to do

Serjik [45]

Answer:

2 11/14 squared feet

Step-by-step explanation:

Area of a rectangle = length x width

Give length = 3 1/4 and

Width = 3/4

Therefore,

Area = 3 1/4 x 3/4

Change the mixed size fraction to an improperly fraction

We have A = 13/4 x 3/4

39/14

2 11/14 squared feet

6 0

3 years ago

Which equation best represents the linear function formed by the table?

DiKsa [7]

Answer:

what table?

Step-by-step explanation:

5 0

2 years ago

Find the solution set of the inequality<br> 35- 4x > 2

Orlov [11]

35-4x>2
-4x>2-35
-4x>-33
-x>-33/4
x<33/4 (x<8.25)

Solution: x<8.25. or x∈(-∞ , 8.25)

3 0

2 years ago