Ask question

Ask question

All categories

KonstantinChe [14]

3 years ago

5

Find the slope of the line

1 answer:

svetoff [14.1K]3 years ago

3 0

It’s rise over run so 3/2

You might be interested in

Morgarella [4.7K]

Answer: median

Step-by-step explanation:

8 0

3 years ago

A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

3 years ago

4 2/3 divided by 4 1/5

Galina-37 [17]

(4 2/3) / (4 1/5) = 1.111

8 0

2 years ago

Read 2 more answers

Samples of rejuvenated mitochondria are mutated (defective) in 1% of cases. Suppose 13 samples are studied, and they can be cons

gavmur [86]

Step-by-step explanation:

this isn't much I think so this isn't plus how come everything in March

7 0

2 years ago

A group of students were asked if they are in the Math Club and if they are in ti

qwelly [4]

Answer: 22

Step-by-step explanation:

6 0

2 years ago