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mojhsa [17]
3 years ago
8

An object travels 4/5 miles in one half hour. what is its speed in miles/ hour

Mathematics
1 answer:
creativ13 [48]3 years ago
6 0
<span>The object's speed is 8/5 miles per hour or 1.6 mph.</span>
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Which congruence theorem can be used to prove △ABC ≅ △DBC?
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Answer:

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Step-by-step explanation:

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3 years ago
The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

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 initial population of 500 increases by 25% in 10 years.

This means that P(0) = 500, P(10) = 1.25*500 = 625

We apply this to the equation and find t.

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

625 = 500e^{10r}

e^{10r} = \frac{625}{500}

e^{10r} = 1.25

Applying ln to both sides

\ln{e^{10r}} = \ln{1.25}

10r = \ln{1.25}

r = \frac{\ln{1.25}}{10}

r = 0.0223

So

P(t) = 500e^{0.0223t}

What will be the population in 40 years

This is P(40).

P(t) = 500e^{0.0223t}

P(40) = 500e^{0.0223*40} = 1220

The population in 40 years will be 1220.

7 0
3 years ago
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adelina 88 [10]

Answer:

look below

Step-by-step explanation:

I'll go in order from top to bottom

5\frac{2}{3}

1\frac{5}{9}

6\frac{1}{2}

6\frac{1}{3}

5\frac{1}{2}

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