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3 years ago

I need helpppppppppppppppppppp

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

4 0

Answer:

Step-by-step explanation:

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A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation

bearhunter [10]

Answer:

<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>

Step-by-step explanation:

<u>Exponential Growing</u>

The population of bacteria grows at a rate expressed by the equation:

$f(t)=256e^{0.06111t}$

Where t is in minutes.

We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

$f(0)=256e^{0.06111\cdot 0}=256\cdot 1=256$

Now we find the time when the population is 5*256=1,280. The equation to solve is:

$1,280=256e^{0.06111t}$

Dividing by 256:

$e^{0.06111t}=1,280/256=5$

Taking natural logarithms:

$ln\left(e^{0.06111t}\right)=ln5$

Applying the logarithm properties:

$0.06111t=ln5$

Solving for t:

$t=ln5/0.06111=26.34$

It will take 26.34 minutes for the population to reach 5 times its initial value

6 0

4 years ago

If kayleigh is 102 centimeter tall is she greater than or less than 1 meter

Illusion [34]

Since there are 100 centimeters in 1 meter, Kayleigh is greater than 1 meter.

7 0

3 years ago

Read 2 more answers

A line that passes through the point (1, –1) and parallel to another line whose slope is 1.

Mars2501 [29]

Parallel lines have same slope so so far the new equation looks like this
$y = 1x + b \\ y = mx + b$
now you plug in you points or coordinates to find b or solve for the y-intercept
$- 1 = 1(1) + b$
$- 1 = 1 + b$
$- 1 = 1 + b \\ - 1 = - 1$
$- 2 = b$
now that you have your b your final solution is
$y = 1x - 2 \: or \: y = x - 2$

5 0

3 years ago

The total cost of a tie and a pair of pants was $87.18. If the price of the tie was $2.12 less than the pair of pants, what was

eimsori [14]

Hey, the tie would cost $42.53

8 0

2 years ago

It takes benjamin 28 minutes to mow 2 lawns assuming the lawns are the same size and benjamin works at the same speed about how

weeeeeb [17]

If it is 5 lawns then an easy way you could do it is dividing 28 and 2, to get 14, then multiply 5 by 14. Or you could set up a proportion which would be 2/28=5/x and solve for x by cross multiplying. The answer you should get out of this is 70 minutes. Or and hour and 10 minutes.

5 0

3 years ago