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4vir4ik [10]
3 years ago
5

Express 12113 in base 10​

Mathematics
1 answer:
dlinn [17]3 years ago
6 0

Answer:

log 12113 in base 10

hope this will help you

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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
3 years ago
The cost of a pizza is $8.50 plus $1.35 per topping. How many toppings are on a pizza that costs $13.90?
VMariaS [17]

Answer:  

8.50 + 1.35n = 13.90

Step-by-step explanation:

So basically you have to add the cost of pizza and the per toppings correct me if i'm wrong Also Have a good Wonderful day!

And that's 4 toppings

3 0
3 years ago
Read 2 more answers
A bookshelf is 45 inches wide. How many 1 & 1/2 inch wide books will fit on the bookshelf? *
andriy [413]

Answer:

30 books

Step-by-step explanation:

bookshelf is 45 inches

each book is 1 1/2 inches

45 / 1 1/2 = 30

30 books can fit on the shelf

7 0
3 years ago
A student council is made up of 6 girls and 12 boys. What is the probability of randomly selecting a comitee that is made up of
Mariana [72]

Answer:

0.1037

Step-by-step explanation:

(6C4 × 12C3)/18C7

3300/31824

275/2652 = 0.1037

5 0
4 years ago
Write down tower more multiples with the answer of 33.642
DENIUS [597]

Answer:

Step-by-step explanation:

3 0
3 years ago
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