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ValentinkaMS [17]
3 years ago
11

1123782132341+4876563123

Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

1128658695464                                                                                                                                

i need 20 characters so i made this sentence

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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 farmers land is separated into sections of size 3 5/6 acres. Suppose there are 9 such sections. How many acres of land does th
Schach [20]

Answer: Don't know sorry

Step-by-step explanation:

5 0
2 years ago
Evaluate 5c+cd when c=1/5 and d=15
oee [108]
5*1/5+1/5*15=4
    1  +  3   =4

This should equal 4 if I did this correctly.
4 0
3 years ago
Solve using the system using elimination for x - y= -5 and 3x + y= 1
IceJOKER [234]
X = y - 5 

x = 1 - y / 3

I hope this helps. :)
7 0
3 years ago
Read 2 more answers
Jessica had m beads. She used 18 of them to make a necklace for her mom. Then she used the rest to make k bracelets for her frie
Y_Kistochka [10]
The expression to represent this would be (m-18)/k.

We first subtract the 18 beads she used in her mother's bracelet from her beginning number, m.  We then divide our result by k, the number of bracelets she made for her friends.
3 0
3 years ago
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