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Georgia [21]
3 years ago
7

A certain virus is dying off at a rate of 18% per hour. Initially there were

Mathematics
1 answer:
djyliett [7]3 years ago
3 0

Answer:

3 strain would still alive after 48 hours

Step-by-step explanation:

Initial population of virus = 40000 grams

A certain virus is dying off at a rate of 18% per hour.

We are supposed to find  how much of the  strain would still be alive after 48 hours

Formula : N(t)=N_0(1-r)^t

N_0=Initial population

N(t)= Population after t hours

r = rate of decrease = 18% = 0.18

t = time = 48 hours

So,the  strain would still be alive after 48 hours=40000(1-0.18)^{48}=2.91 \sim 3

Hence 3 strain would still alive after 48 hours

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A bus makes a stop at 2:30, letting off 16 people and letting on 3. The bus makes another stop ten minutes later to let off 2 mo
liq [111]

Answer:

10 people lesser.

Step-by-step explanation:

Initially, it 15 people  get off but 9 people get picked up, hence losing 6 people.  If 4 more people get off, it has then lost 10 people total.

The original number of passengers on the bus decreased by 10 after the second stop

Assume that the total passengers on the bus before 2:30 was x

Now, at 2:30:

15 passengers got off and 9 got on.

This means that:

number of passengers = x - 15 + 9 

number of passengers = x -6

10 minutes later:

4 passengers got off the bus

This means that:

number of passengers = (x-6) - 4

number of passengers = x - 10

The original number of passengers on the bus decreased by 10 after the second stop.

3 0
3 years ago
Points Z(4,3) X(-5,-2) Y(4,-2) plot them and then find the perimeter and area
mash [69]

Answer:

z(43)x(−5−2)y(4−2)

=−602xyz

Step-by-step explanation: HOpe this help , pls mark me as brainlisti

7 0
2 years ago
There are 8 flowers in a garden. Some insects (butterflies and dragonflies) sit on flowers. There is no more than one insect per
tester [92]

Answer:

4

Step-by-step explanation:

x butterflies and y dragonflies

4 < x + y 《 8

x = 2y

4 < 2y + y < 8

4 < 3y < 8

Only multiple of 2 between 4 and 8 is 6

So 3y = 6

y = 2

x = 2y = 4

4 0
3 years ago
Read 2 more answers
Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibioti
ser-zykov [4K]

Answer:

Step-by-step explanation:

Part 1:

Let 

     Q₁ = Amount of the drug in the body after the first dose.

     Q₂ =  250 mg

As we know that after 12 hours about 4% of the drug is still present in the body.

For Q₂,

we get:

            Q₂ = 4% of Q₁ + 250

                  = (0.04 × 250) + 250

                  = 10 + 250

                  = 260 mg

Therefore, after the second dose, 260 mg of the drug is present in the body.

Now, for Q₃ :

We get;

          Q₃ = 4% of Q2 + 250

               = 0.04 × 260 + 250

               = 10.4 + 250

               = 260.4

For Q₄,

We get;

          Q₄ = 4% of Q₃ + 250 

                = 0.04 × 260.4 + 250

                = 10.416 + 250 

                = 260.416

Part 2:

To find out how large that amount is, we have to find Q₄₀.

Using the similar pattern

for Q₄₀,

We get;

           Q₄₀ = 250 + 250 × (0.04)¹ + 250 × (0.04)² + 250 × (0.04)³⁹

Taking 250 as common;

           Q₄₀ = 250 (1 + 0.04 + 0.042 + ⋯ + 0.0439)

                 = 2501 − 0.04401 − 0.04

           Q₄₀ = 260.4167

Hence, The greatest amount of antibiotics in Susan’s body is 260.4167 mg.

Part 3:

From the previous 2 components of the matter, we all know that the best quantity of the antibiotic in Susan's body is regarding 260.4167 mg and it'll occur right once she has taken the last dose. However, we have a tendency to see that already once the fourth dose she had 260.416 mg of the drug in her system, that is simply insignificantly smaller. thus we will say that beginning on the second day of treatment, double every day there'll be regarding 260.416 mg of the antibiotic in her body. Over the course of the subsequent twelve hours {the quantity|the quantity|the number} of the drug can decrease to 4% of the most amount, that is 10.4166 mg. Then the cycle can repeat.

3 0
3 years ago
The prime factorization of each number is given. List all the factors of each number in prime factorization form.
frutty [35]

Answer:

1,11,13,17,143,187,221,2431

Step-by-step explanation:


5 0
3 years ago
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