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2 years ago

A bacteria culture doubles every 5 hours. Determine the hourly growth rate of the bacteria

Mathematics

1 answer:

Gennadij [26K]2 years ago

5 0

$\sqrt[5]{2}-1 = 1 +x - 1$ Answer:

14.87% per hour

Step-by-step explanation:

Let's pretend we're starting with one bacteria.

Double of one is two

We're gonna have to use this formula: A = P(1 + x)ⁿ

A = Amount (which is 2)

P = Initial amount (which is 1)

x = percentage per time (hour)

n = amount of time (hours)

So our equation will look like this:

2 = 1(1 + x)⁵

First, we need to root both sides to isolate (1 + x)

$\sqrt[5]{2} = \sqrt[5]{(1+x)}$

$\sqrt[5]{2} = 1 +x$

Then subtract both sides by 1

$\sqrt[5]{2}-1 = 1 +x - 1$

$x=\sqrt[5]{2}-1$

$\sqrt[5]{2} = 1.148698355$

1.148698355 - 1 = 0.148698355

x = 0.148698355

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A construction company needs to remove 4 1 6 tons of dirt from a construction site. They can remove 8 9 tons of dirt each hour.

andre [41]

Answer:4.674hours

Step-by-step explanation:

1hr-89tons

24hrs-xtons

X=24×89

X=2136tons

24hrs-2136tons

Yhr-416tons

Y=24×416\2136

Y=4.674hrs

8 0

3 years ago

Help pls, will mark brainliest

BaLLatris [955]

Here , we are provided with a table which shows 5 consecutive terms of an arithmetic sequence . But before solving further , let's recall that ;

The n'th term of a Arithmetic Sequence let's say it be ${\sf T_n}$ is given by ;

${\boxed{\bf T_{n}=T_{1}+(n-1)d}}$

Where , <u>d</u> is the common difference

Now , here we are given with ;

${\quad \qquad \sf \blacktriangleright \blacktriangleright \blacktriangleright T_{1}=8 \: and \: T_{5}=-4}$

We have to find the 2nd , 3rd and 4th term respectively ,

Now , by using the above formula , 5th term can be written as ;

${: \implies \quad \sf T_{1}+(5-1)d=T_{5}}$

Putting the values and transposing 1st term to RHS , we have ;

${: \implies \quad \sf 4d = -4-8}$

${: \implies \quad \sf d=-\dfrac{12}{4}}$

${: \implies \quad \sf d=-3}$

Now , as we got the common difference , so we can find out the missing terms now ;

${: \implies \quad \sf T_{2}= T_{1}+(2-1)d}$

${: \implies \quad \sf T_{2}= 8 +d}$

${: \implies \quad \sf T_{2}= 8-3}$

${: \implies \quad \bf \therefore \: T_{2}= 5}$

Now

${: \implies \quad \sf T_{3}= T_{1}+(3-1)d}$

${: \implies \quad \sf T_{3}= 8 +2d}$

${: \implies \quad \sf T_{3}= 8-6}$

${: \implies \quad \bf \therefore \: T_{3}= 2}$

Also ,

${: \implies \quad \sf T_{4}= T_{1}+(4-1)d}$

${: \implies \quad \sf T_{4}= 8 +3d}$

${: \implies \quad \sf T_{4}= 8-9}$

${: \implies \quad \bf \therefore \: T_{4}= -1}$

Now , The given table can be written as ;

${\begin{array}{|c|c|c|c|c|c|}\cline{1-6} \bf n & \sf 1 & 2 & 3 & 4 & 5 \\ \cline{1-6} \bf T_{n} & \sf 8 & 5 & 2 & -1 & -4 \end{array}}$

Note :- Kindly view the answer from web , if you're not able to see the full answer from here ;

brainly.com/question/26750175

8 0

2 years ago

Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games e

patriot [66]

Answer:yes

Step-by-step explaination:egg

4 0

2 years ago

Fill in the blank.

gavmur [86]

Answer:

297 cubic centimeters

Step-by-step explanation:

volume is LWH

11*9*3 = 297

6 0

2 years ago

The sum of two numbers is 12. The difference of the same two numbers is 24. what is the larger of the two numbers

Vsevolod [243]

ANSWER

The larger number is 18

<u>EXPLANATION</u>

Let x be the larger number and y be the smaller number.

Then,

$x+y=12--(1)$

$x-y=24--(2)$

Let us add equation (1) and (2).

$2x=36$

Divide through by 2

$x=18$

Put $x=18$ in to equation (1).

This implies that,

$18=y=12$

$y=12-18=-6$

4 0

2 years ago