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11111nata11111 [884]
3 years ago
10

Please help, I would appreciate it a lot

Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0

Answer:

Sry, Can't help.

It's soo hard!!

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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
2 Points<br> Which of the following is(are) the solution(s) to . x+6 = 2x - 1?
seropon [69]

Answer:

x = 7

Step by step explanation:

<em>minus</em><em> </em><em>x</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em>

6 = x -1

<em>add</em><em> </em><em>1</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em>

<em>x</em><em> </em><em>=</em><em> </em><em>7</em>

7 0
3 years ago
To ride a horse at the state fair costs 2$ per minute. Pablo buys a 16 minute ride. Next time her plans to ride 25% longer. How
Mariana [72]

Answer:

40 dollars

Step-by-step explanation:

25% of 16 minutes is 4 mins. 16+4=20 mins.

so 20*2=40 dollars

6 0
3 years ago
7. Please solve by substitution:<br><br>y = 3x + 17<br>y = 2x + 23​
CaHeK987 [17]
3x+17=2x+23

5x=40

40/5=8

x=8
7 0
3 years ago
Is 1 greater than, less than, or equal to 8/10?
grandymaker [24]

Answer:

Greater than ( > )

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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