4 years ago

What the product? (m-2)(m-5)

Mathematics

1 answer:

insens350 [35]4 years ago

6 0

M^2-5m-2m+10 which simplifies to m^2-7m+10

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olga55 [171]

Answer:

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3 years ago

I need help with this

lorasvet [3.4K]

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3 years ago

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

bearhunter [10]

Answer:

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

Step-by-step explanation:

Exponential Growing

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

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4 years ago

Makes no sense??? Last question

trapecia [35]

4 3/4 divided by 5/8 equals 19/4 divided by 5/8 equals 19•8/4•5 equals 152/20 equals 7 3/5

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Population density is the number of people per unit of area. The population density of a certain region is 60 people per square

zvonat [6]

Answer: 1380

Step-by-step explanation:

$\dfrac{60\ people}{km^2}\times 23\ km^2\quad =1380\ people$

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