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2 years ago

During a certain epidemic, the number of people that are

Mathematics

1 answer:

qaws [65]2 years ago

8 0

9514 1404 393

Answer:

1367 people

Step-by-step explanation:

The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...

i(t) = 1000(1.2^(t/7))

After 12 days, the number infected is modeled as ...

i(12) = 1000(1.2^(12/7)) ≈ 1367

About 1367 people are infected 12 days after discovery.

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A bag contains 5 2/5kg of sand. The bag has a hole in it. Every 10 minutes, 1 2/3kg of sand escapes from the bag. After 20 minut

fenix001 [56]

Quantify of sand in a bag =

$= \: 5 \frac{2}{5} \ \:$

$= \frac{(5 \times 5 +2) }{5}$

$= \frac{27}{5} \: kg$

Quantity of sand that escapes in every 10 minutes :-

$= 1 \frac{2}{3} kg$

Quantity of sand that will escape in 20 minutes :-

$= 1 \frac{2}{3} \times 2$

$= \frac{(3 \times 1 + 2)}{3} \times 2$

$= \frac{5}{3} \times 2$

$= \frac{10}{3}$

Quantity of sand that will remain in the sand bag :-

$= \frac{27}{5} - \frac{10}{3}$

$= \frac{(27 \times 3)}{15} - \frac{(10 \times 5)}{15}$

$= \frac{81}{15} - \frac{50}{15}$

$= \frac{31}{15}$

$= 2 \frac{1}{5} \: kg$

$therefore \: , \: 2 \frac{1}{5} \: kg \: sand \: is \: left \: in \: the \: bag \: .$

3 0

2 years ago

Solve the equation<br><br> 1.6=7.6-5(k+1.1)

zepelin [54]

7.6 - 5(k + 1.1) = 1.6

7.6 - 5(k + 1.1) - 7.6 = 1.6 - 7.6

-5(k +1.1) = -6

-5(k + 1.1) -6
-------------- = ---------
-5 -5

k + 1.1 = 6
-----
5

k + 1.1 - 1.1 = 6
----- - 1.1
5

k = 0.1

8 0

2 years ago

At pizza hut, 9% of the pizzas made last night had extra cheese. if 27 pizzas has extra cheese, how many pizzas in all were made

True [87]

Answer: 300

You need to change 9% into a decimal so it would be 0.09

Then divide 27 ÷ 0.09 = 300

So 9% of 300 is 27

3 0

2 years ago

Find the diameter of the object.

Anni [7]

Answer:

1 $\frac{1}{5}$ centimeters