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3 years ago

Please help and show all work.

Mathematics

1 answer:

Stels [109]3 years ago

4 0

1. 73
2.40
3.78
werent too hard

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3 years ago

Read 2 more answers

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.

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3 years ago

Hellp ging brainiest if good answer see picture

MariettaO [177]

Answer:

5/7-1/3=8/21

So is 8/21

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3 years ago

Two angles of a triangle measure 45 degrees and 90 degrees. What is the third angle measure?

neonofarm [45]

Answer:

Step-by-step explanation:

Angles in a triangle add up to 180

Take 45 + 90 then subtract the answer from 180

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3 years ago

Help 20 ptssss asap !

ELEN [110]

Answer:

Assuming you want an equation, y = -4/3x - 1

Step-by-step explanation:

Formula is y = mx + b

m = slope= -4/3

b = y-intercept = -1

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3 years ago