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Dmitry [639]
2 years ago
6

The length of the diagonal of a rectangle is 140−−−√ inches.

Mathematics
1 answer:
andrew11 [14]2 years ago
5 0

Answer:

answer is second one

Step-by-step explanation:

The length is between 11 and 12 inches.

√140 = 11.83 inches

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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
3 years ago
Don’t understand again?
Makovka662 [10]

<u><em>10 2/7 ÷ 3/14</em></u>              First Write The Equation

<u><em>72/7 ÷ 3/14</em></u>                Use KCF which is Keep, Change, and Flip

<u><em>1008/21</em></u>                      Use Division Of Equality

<u><em>Answer: 48</em></u>

8 0
3 years ago
What is nintetty-nine hundredths as a decimal
guapka [62]
It is still 99 Hundredths as a decimal.
8 0
3 years ago
Which one of these diagrams shows its reference angle in standard position?
Svetach [21]

Answer:

A

Step-by-step explanation:

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3 0
3 years ago
What are the slope and y intercept of the line 4y= -x - 32
Alona [7]
First you'll have to bring the equation in form y = mx + b.

4y = -x - 32
y = -1/4 x - 8

So the slope is -1/4 and y-intercept is -8

Hope this helps :)
7 0
2 years ago
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