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2 years ago

An ocicat eats 3/5 of a pound of food daily. How many ocicats can a 19 1/2-pound bag of food feed for one week?

Mathematics

1 answer:

elixir [45]2 years ago

3 0

Answer:

It can feed one and a half cats for a week

Step-by-step explanation:

divided the amount one cat eats per day by the amount of food in one bag and you get your answer.

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

attashe74 [19]

Answer:

$t=7.85 years$

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

$\frac{dP}{dt}=aP$

Where a is proportional constant, P the population variable, and t the time.

$\frac{dP}{P}=adt$

Integrating each side of the equation.

$\int \frac{dP}{P}=\int adt$

$ln(P)=at+c$

$P=e^{at+c}$

$P=e^{c}e^{at}=Ce^{at}$

To find C we need to use the initial condiction, it means evaluae P at t=0.

$P_{0}=Ce^{0}=C$

$P=P_{0}e^{at}$

Now, we use the sentence the population has doubled in 5 years.

$2P_{0}=P_{0}e^{a5}$

We can find "a" in this condition.

$2=e^{a5}$

$ln(2)=a5$

$a=\frac{ln(2)}{5}$

$a=0.14$

Finally, let's find how long will it take to triple.

$3P_{0}=P_{0}e^{0.14t}$

$3=e^{0.14t}$

$t=\frac{ln(3)}{0.14}$

$t=7.85 years$

I hope it helps you!

4 0

2 years ago

Decide whether ABC is a right angle triangle

muminat

The triangle is not a right angle

AC = 22 - 8 - 5 = 9
AC² = AB² + BC²
81 = 64 + 25
81 isn't equal to 89, the triangle is not a right angle

3 0

2 years ago

Read 2 more answers

At a local print shop, 4 copies can be made for $2. At this rate, how how many copies could be made for $12?

san4es73 [151]

Answer:

Step-by-step explanation:

$2 divided by 4 equals 50 cents

50 cents per copy

$12 will get you 24 copies

5 0

3 years ago

Read 2 more answers

Help me please thanks before

sdas [7]

-17 + 28 = 11

hope this helps, give brainliest

8 0

3 years ago

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Write the expression with fewer terms. <br><br> 10−2

fiasKO [112]

10-2 = 8
2^3 =8
(2x2x2) = 8

7 0

2 years ago

Read 2 more answers