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Tomtit [17]
2 years ago
6

Find the GCF (greatest common factor) of 84 and 36. Be sure to show your work. Then, using complete sentences, explain what your

answer means.
This is not for a quiz!
Come on plz answer!
Mathematics
2 answers:
Serga [27]2 years ago
8 0

Answer:

12

Step-by-step explanation:

84 ÷ 12= 7  &  36 ÷ 12 = 3

The answer is 12. By using division, & backing into the number, you can find the GCF of both numbers. This means 12 is the highest number you can multiply by a number to get both 84 and 36.

Vsevolod [243]2 years ago
4 0

The answer is 4. By using the factor tree method, you can figure out the GCF of each number. This means 4 is the highest number you can mulitply anything by to get both 84 and 36.

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3 years ago
In 1859, 24 rabbits were released into the wild in Australia, where they had no natural predators. Their population grew exponen
Mashcka [7]

Answer:

a) P' = P

   P(t) = 24e^{0.693t} where t is step of 6 months

b) 7.7 years

c)1064.67 rabbits/year

Step-by-step explanation:

The differential equation describing the population growth is

\frac{dP}{dt} = P

Where t is the range of 6 months, or half of a year.

P(t) would have the form of

P(t) = P_0e^{kt}

where P_0 = 24 is the initial population

After 6 month (t = 1), the population is doubled to 48

P(1) = 24e^k = 48

e^k = 2

k = ln(2) = 0.693

Therefore P(t) = 24e^{0.693t}

where t is step of 6 months

b. We can solve for t to get how long it takes to get to a population of 1,000,000:

24e^{0.693t} = 1000000

e^{0.693t} = 1000000 / 24 = 41667

0.693t = ln(41667) = 10.64

t = 10.64 / 0.693 = 15.35

So it would take 15.35 * 0.5 = 7.7 years to reach 1000000

c. P' = P_0ke^{kt}

We need to resolve for k if t is in the range of 1 year. In half of a year (t = 0.5), the population is 48

24e^{0.5k) = 48

0.5k = ln2 = 0.693

k = 1.386

Therefore, P' = 1.386*24e^{1.386t}

At the mid of the 3rd year, where t = 2.5, we can calculate P'

P' = 1.386*24e^{1.386*2.5} = 1064.67 rabbits/year

4 0
2 years ago
L. Find the positive square root of each of the following numbers:(a) 36(b) 81(d) 256(c) 196
Yakvenalex [24]
(a)36 = 6
(b)81 = 9
(c)256 = 16
(d)196 = 14
6 0
2 years ago
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Answer:

(3x^2+21x+33) / (x+5)

You can use long division:

(3x^2+21x+33)

--------------------

       (x+5)

=3x+6+ 3/x+5

Step-by-step explanation:

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2 years ago
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omeli [17]
I hope this helps you

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