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vampirchik [111]
3 years ago
13

suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A samp

le of 1700 bacteria selected from this population reach the size of 1892 bacteria in three hours. Find the hourly growth rate parameter
Mathematics
1 answer:
Tema [17]3 years ago
8 0

Answer:

3.33% per hour

Step-by-step explanation:

Use the A=Pe^rt equation. A is the end amount, so it's 1892. P is the original amount, 1700. E is a constant, around 2.72. R is the growth constant. T is the time that passed, 3 hours. You can substitute the givens into the equation and get 1892=1700e^(3r). Divide by 1700 to isolate the e. This leaves you with 1892/1700=e^(3r). Do the natural log of each side cancel the e and bring the exponent down. This leaves you with ln(1892/1700)=3r. Divide by 3 to isolate r. ln(1892/1700) is .1. .1/3 is .03333. Multiply by 100 to get a percent. 3.33 percent is your final answer.

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Find the value of x and y<br> 3х<br> 20<br> 25<br> 18<br> бу -2<br> Х=<br> ү=
sweet-ann [11.9K]

Answer: first one =109360044xy−36453348x−2, 2nd,=3037778998,last one,=1968480790

Step-by-step explanation:Evaluate for x=3x,y=6y−2

33x(2025186)(6y−2)−2

33x(2025186)(6y−2)−2

=109360044xy−36453348x−2

Evaluate for x=20,y=25

(3)(20)(2025186)(25)−2

(3)(20)(2025186)(25)−2

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because 18 is by itself i just did Evaluate for x=18,y=18

(3)(18)(2025186)(18)−2

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3 years ago
In three to five sentences, explain the importance of sentence structures in good writing.
jenyasd209 [6]

Answer:

Sentence structure needs to simple, standalone, Grammarly justified and able enough to convey the writer thoughts and feelings clearly

Step-by-step explanation:

Sentence structure is very essential to convey the idea of the writer clearly. It is just like the skeleton of a write up and hence its framework needs to be clear and able enough to express the real sense. The structure of sentence needs to be complete with adequate grammar and punctuations. A good sentence must be able to express a complete idea  on its own.

4 0
3 years ago
Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices
Angelina_Jolie [31]

Answer:

The inequality is 0.75x\geq y

Step-by-step explanation:

Given : Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices and y is the total number of hours he spends practicing.

To find : Which inequality represents this situation?

Solution :  He plays trumpet for a minimum of 45 minutes

45 \text{minutes}=\frac{45}{60}=\frac{3}{4}=0.75\text{hours}

If x is the number of days that Lionel practices then he practices for at least 

=0.75x hours

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So, the inequality form is:

0.75x\geq y

i.e, 0.75x is greater than y.



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For percentage problems that do not deal with a specific starting number, it is always helpful to plug in 100 for the starting number. Here, we would then have a post-sale price of 90 dollars, and if we calculate the sales tax for the 90-dollar item it would be 90 * 0.09 = $8.10. THis gives us a total cost of 90 + 8.10 = $98.10, or 98.1% of the original 100-dollar price.

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