What is m<1 help thais would help

I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli

dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it grows by using t=25 minutes and $\frac{A_{0}}{A} =2$ or double the amount at that time. The first step we always take is to divide $A_0$ by A.

$[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}$

$2=e^{(25)r}$

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r$

We know $lne=1$ so we were able to cancel it out and divide both sides by 25.

We solve with a calculator $\frac{ln2}{25} =r\\0.0277=r$

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is $A=A_0e^{0.0277t}$ .

We repeat the step above substituting A=5,000,000, $A_0$ =50, and r=0.02777. Then solve for t.

$5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t$

t=415.63 minutes

6 0

3 years ago

Name the vertices of a square to the right

allochka39001 [22]

There are 4 vertices of a square to the right.

3 0

3 years ago

Read 2 more answers

Which one of the following is a true

Marina86 [1]

Answer:

X5, m d5£t4#it8#k,osp5*9y6£, you_, I_, I &, I 5"I 5"6'7'6”7'6'6"6"I 5*95*95*59*I 5,5*5*I 5*I 5•5the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.the area of a trapezium is 240 con 2 97 the parallel side is gucm and 26 cm long Feng

the distance between them.

4 0

2 years ago

A set of telephone poles is stacked in a pile, 8 layers high. The top layer consists of 20 telephone

Anarel [89]

Answer:

D. 272 poles

Explanation:

We are given that:

The top layer has 20 poles, the next down one has 24 poles and the third one has 28 poles

We can note that each layer has 4 poles more that the one above it

Based on this, we can get the number of poles in each layer as follows:

Top layer has 20 poles

Second one has 20 + 4 = 24 poles

Third one has 24 + 4 = 28 poles

Fourth one has 28 + 4 = 32 poles

Fifth one has 32 + 4 = 36 poles

Sixth one has 36 + 4 = 40 poles

Seventh one has 40 + 4 = 44 poles

Eighth one has 44 + 4 = 48 poles

Now, we can get the total number of poles by adding the poles in all layers

This is done as follows:

Total number of poles = 20 + 24 + 28 + 32 + 36 + 40 + 44 + 48

Total number of poles = 272 poles

Hope this helps :)

5 0

3 years ago

PLEASE HELP PICTURE SHOWN CHECK ALL THAT APPLY

marusya05 [52]

To find the zeros set the factors on the numerator equal to zero and solve
(x - 1) = 0 x = 1
(x + 1) = 0 x = -1

5 0

3 years ago

What is m<1 help thais would help ​

What is m<1 help thais would help