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A culture started with 5000 bacteria after three hours it grew 6500 bacteria predict how many bacteria will be present after 13 hours round your answer to the nearest whole number

Answers

Answer 1

Answer:

Answer:

15595 bacteria will be present after 13 hours.

Step-by-step explanation:

Continuous population growth:

The continuous population growth model, for the population after t hours, is given by:

$P(t) = P(0)e^(rt)$

In which P(0) is the initial population and r is the growth rate.

Started with 5000 bacteria

This means that $P(0) = 5000$

$P(t) = 5000e^(rt)$

After three hours it grew 6500 bacteria:

This means that $P(3) = 6500$ . We use this to find r.

$P(t) = 5000e^(rt)$

$6500 = 5000e^(3r)$

$e^(3r) = (65)/(50)$

$\ln{e^(3r)} = \ln{(65)/(50)}$

$3r = \ln{(65)/(50)}$

$r = \frac{\ln{(65)/(50)}}{3}$

$r = 0.0875$

$P(t) = 5000e^(0.0875t)$

How many bacteria will be present after 13 hours?

This is P(13). So

$P(13) = 5000e^(0.0875*13) = 15594.8$

Rounding to the nearest whole number

15595 bacteria will be present after 13 hours.

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The world’s fastest flying insect is the dragonfly. It can fly 36 miles per hour. If a dragonfly flew in a straight path at this rate, what distance would it fly in 15 minutes? (1 hour = 60 minutes) *

Answers

The total number of distance the word fastest insect in 15 minutes would fly is 9 miles

How to determine the number distance it would fly

from the question, we have the following parameters that can be used in our computation:

Speed = 36 miles per hour

Time = 15 minutes = 1/4 hour

The distance it would fly is calculated as

Distance = Speed * Time

Substitute the known values in the above equation, so, we have the following representation

Distance = 36 miles per hour * 1/4 hour

Evaluate

Distance = 9 miles

Hence, the number of distance it would fly is 9 miles

Answers

Answer:

Expected value = $32

Step-by-step explanation:

Given:

Check amount = $0, $20, $30, $35, $75

Find:

Expected value

Computation:

Expected value = [$0 + $20 + $30 + $35 + $75] / 5

Expected value = [$160] / 5

Expected value = $32

Please Help Me Thanks!

Answers

Answer:

No solution

Step-by-step explanation:

add 3 both side

\sqrt{x-4}=-2

Let F = sin ( 8 x + 5 z ) i − 8 y e x z k . F=sin⁡(8x+5z)i−8yexzk. Calculate div ( F ) div(F) and curl ( F ) . and curl(F). (Express numbers in exact form. Use symbolic notation and fractions where needed.)

Answers

Answer:

Required results are $\nabla .\vec{F}$ =8\cos(8x+5z)-8ye^x[/tex] and $\nabla* \vec{F}=-8e^xz\uvec{i}+(8ye^xz+5\sin(8x+5z))\uvec{j}$

Step-by-step explanation:

Given vector function is,

$\vec{F}=\sin(8x+5z)\uvec{i}-8ye^xz\uvec{k}$

To find $\nabla .\vec{F}$ and $\nabla * \vec{F}$ .

$\nabla .\vec{F}$

$=((\partial)/(\partial x)\uvec{i}+(\partial)/(\partial y) \uvec{j}+(\partial)/(\partial z) \uvec{k})(\sin(8x+5z)\uvec{i}-8ye^xz\uvec{k})$

$=(\partial)/(\partial x)(\sin(8x+5z))-(\partial)/(\partial z)(8ye^xz)$

$=8\cos(8x+5z)-8ye^x$

And,

$\nabla * \vec{F}$

$=((\partial)/(\partial x)\uvec{i}+(\partial)/(\partial y) \uvec{j}+(\partial)/(\partial z) \uvec{k})*(\sin(8x+5z)\uvec{i}-8ye^xz\uvec{k})$

$\end{Vmatrix}$

$=\uvec{i}\Big[(\partial)/(\partial y)(-8ye^xz)\Big]-\uvec{j}\Big[(\partial)/(\partial x)(-8ye^xz)-(\partial)/(\partial z)(\sin(8x+5z))\Big]+\uvec{k}\Big[-(\partial)/(\partial y)(-\sin(8x+5z))\Big]$

$=-8e^xz\uvec{i}+(8ye^xz+5\sin(8x+5z))\uvec{j}$

Hence the result.

Im so stupid i need help 14.7 ÷ 7= what equation/

Answers

2.1 is ur answer :) hope that helps u out

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HELPPPPP NOWWW

Answers

Answer:

The third or fifth answer but mostly third the glaboal depression known as great depression was mostly known for people getting mad because their work checks decreased this caused a lot of people to not work and quit their jobs now that you think of it mabye you can choose a or c please choose both or one these are most recommended........... so i did some research and the answer is #1

the second one is becasue great depression had nothing to do with europe

the third was wrong becasue when the market crash happended peploe did refuse but that not how it affected them

the fourth one during the great depriosn no one was even able to trade except the goverment and its ovidious

the fifth their was no reason for their money to be declined

Officialanswer:Thefirstanswer/A

Step-by-step explanation:

please give brainliest

hi i hope this helps and you shoukd use the brainpop great depression video to help more and lastly, i love you as a friend becasue i have nothing to do so yeah bye :p

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