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vova2212 [387]
3 years ago
7

What justify the conclusion that < 4 is congruent to <6

Mathematics
1 answer:
Finger [1]3 years ago
6 0

Answer:

C

Step-by-step explanation:

Just my thinking

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The population of a community is known to increase at a rate proportional to the number of people present at time t. If the popu
Lady bird [3.3K]

Answer:

P(t) = P(0)e^{0.0693t}

Step-by-step explanation:

The population of a community is known to increase at a rate proportional to the number of people present at time t.

This means that the population growth is modeled by the following differential equation:

\frac{dP(t)}{dt} = rP(t)

Which has the following solution:

P(t) = P(0)e^{rt}

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The population has doubled in 10 years

This means that P(10) = 2P(0). We use this to find r.

P(t) = P(0)e^{rt}

2P(0) = P(0)e^{10r}

e^{10r} = 2

\ln{e^{10r}} = \ln{2}

10r = \ln{2}

r = \frac{\ln{2}}{10}

r = 0.0693

So the equation that will estimate the population of the community in t years is:

P(t) = P(0)e^{0.0693t}

6 0
3 years ago
Write 85% as a fraction in simplest form.
pav-90 [236]

Answer:

17/20

Step-by-step explanation:

85% can easily be written as 85/100 and this is true, but we have to simplify to the simplest form.

An easy way to simplify is to divide the numerator and denominator by the GCF (Greatest Common Factor)

The GCF of 85 and 100 is 5.

85 ÷ 5 = 17

100 ÷ 5 = 20

We can no longer simplify 17/20 because 17 is prime so your final answer is 17/20!

Hope you have a good day and luck in finding good memes!

8 0
3 years ago
While working out, Susie does 25 sit-ups for every 12 push-ups. If she does 60 push-ups, how many sit-ups will she do?
Sholpan [36]

Answer:

125 situps

Step-by-step explanation:

We can use a ratio to solve

25 situp          x situps

---------------  = --------------

12 pushup    60 pushups

Using cross products

25 * 60 = 12x

Divide each side by 12

25*60/12 = 12x/12

125 = x

4 0
3 years ago
What is the recommended daily amount of protein
vaieri [72.5K]

Answer:

the recommended protein intake is 100 grams a day. Although, a study has been conducted by researches that proved the average human takes in approximately only 70 grams a day.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
31. You work 35 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will y
ivann1987 [24]

Answer:

  • Option B

Step-by-step explanation:

<u>Calculate and compare:</u>

  • A) $32000
  • B) $18.5*35*52 = $33670
  • C) $30000 + 5% = $30000 + $1500 = $31500
  • D) $17.5*35*52 + $1500 = $33350
7 0
2 years ago
Read 2 more answers
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