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3 years ago

I need help with 12 & 16 it's due in a couple minutes someone please help me!!!

Mathematics

1 answer:

Serga [27]3 years ago

4 0

Answer:

12) y ≤ 5 [closed circle at 5 with arrow moving left]

14) b > -4 [open circle at -4 with arrow moving right]

16) n ≥ 5 [closed circle at 5 with arrow moving right]

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A bacteria population experiences continuous growth. If there were 2,000 bacteria present at the start of an experiment, how lon

allochka39001 [22]

Answer:

D. About 15.69 hours.

Step-by-step explanation:

Let x be the number of hours.

We have been given that there were 2,000 bacteria present at the start of an experiment and the growth rate was 7% per hour.

Since number of bacteria is growing exponentially, so we will use exponential growth function to solve our given problem.

The continuous exponential growth formula is in form: $y=e^{kx}$ , where,

e= mathematical constant,

k = Growth rate in decimal form.

Let us convert our given rate in decimal form.

$7\%=\frac{7}{100}=0.07$

Upon substituting our given values we will get exponential function for bacteria growth as: $y=2,000*e^{0.07x}$ , where, y represents number of bacteria after x hours.

Since we need to figure out the number of hours it will take for there to be 6,000 bacteria, so we will substitute y= 6,000 in our function.

$6,000=2,000*e^{0.07x}$

Let us divide both sides of our equation by 2,000.

$\frac{6,000}{2,000}=\frac{2,000*e^{0.07x}}{2,000}$

$3=e^{0.07x}$

Let us take natural log of both sides of our equation.

$\text{ln}(3)=ln(e^{0.07x})$

$\text{ln}(3)=0.07x$

$1.0986122=0.07x$

$x=\frac{1.0986122}{0.07}$

$x=15.69446\approx 15.69$

Therefore, it will take about 15.69 hours to be 6,000 bacteria and option D is the correct choice.

3 0

3 years ago

Simply the expression?

Juliette [100K]

It equals 2(x+1) blah blah blah

6 0

3 years ago

Read 2 more answers

In the triangle below, what is the measure of A? ОА. 180° Ос. 30° ор. 90°

ICE Princess25 [194]

Answer:

60°

Step-by-step explanation:

Total angle measurement for a triangle is 180°

Equilateral triangle measures 60 on all angles. (60 + 60 + 60 = 180°)

This triangle is equilateral so it's angle is 60°.

Why is it equilateral? Because all sides of the triangle are equal (10 on all sides).

Hope this helps

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Answer:

8a^3b^2

Step-by-step explanation:

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