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disa [49]
3 years ago
5

Simplify each radical

Mathematics
1 answer:
ElenaW [278]3 years ago
5 0
I hope this helps you

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A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the
serious [3.7K]

Answer:

The equation is A=6000e^{-0.23t}  at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation A=A_0e^{rt}. We can find the rate at which it decays by using t=3 hours and A=3000. This means A_0=6000 in this context.

A=A_0e^{rt}\\3000=6000e^{r(3)}

0.5=e^{(24.5)r}

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r

We know lne=1 so we were able to cancel it out and divide both sides by 3.

We solve with a calculator \frac{ln0.5}{3} =r\\-0.23=r

We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.

The equation is A=6000e^{-0.23t}


5 0
3 years ago
A bag contains 6 red marbles and 7 blue marbles. Another bag contains 3 green marbles and 8 yellow marbles. You randomly pick on
telo118 [61]
The answer is a. here’s a picture that hopefully helps explain the reasoning/work

7 0
3 years ago
Read 2 more answers
What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%2A%2081" id="TexFormula1" title="\frac{2}{3} * 81" alt="\frac
Vaselesa [24]

Hello!

<u><em>Answer:  ⇒⇒⇒⇒⇒⇒⇒ =54</em></u>

_________________________________________________________________

Step-by-step explanation:

First you had to convert element to fraction.

\frac{2}{3}*\frac{81}{1}

Then you had to cross out by the common factor of 3.

\frac{2}{1}=\frac{27}{1}

Multiply by the fraction.

\frac{2*27}{1*1}

Multiply by the number.

2*27=54

=\frac{54}{1*1}

Again multiply by the number.

1*1=1

=\frac{54}{1}

Apply rule.

\frac{54}{1}=54

54 is the right answer.

______________________________________________________________

Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

_________________________________________________________________

4 0
3 years ago
FindFind the length of the crust(arc) of the pizza
Soloha48 [4]

Answer:

29.3 cm

Step-by-step explanation:

converting 70 degrees into radians, we get=(7/18)×π

now we know,

length of the arc= {(7/18)×π} × 24 (radius of the circle)

= 29.3 cm

8 0
3 years ago
B{even number less than 50} is which set​
Neko [114]

Answer:

finite set is this

Step-by-step explanation:

even number less than 50 is finite set

5 0
3 years ago
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